diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000000000000000000000000000000000000..da6c87c2e1621eb8eb9d39d34d763d5f2f55b2c3
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,20 @@
+# Zeugs vom Antlr-Tool
+ANTRL-Grammatiken/*/*.class
+ANTRL-Grammatiken/*/*.java
+ANTRL-Grammatiken/*/*.interp
+ANTRL-Grammatiken/*/*.tokens
+
+# C# bin-Dateien und IDE Dateien
+.vs
+
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/*.dll
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/*.txt
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/*.exe
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/*.json
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/*.pdb
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/.config
+BaumtransformationBewerter/bin/Debug/netcoreapp3.1/ex/
+BaumtransformationBewerter/bin/Debug/netcoreapp6.0/
+BaumtransformationBewerter/obj/
+BaumtransformationBewerter/Properties/
+BaumtransformationBewerter/*.user
diff --git a/ANTRL-Grammatiken/ADT/ADT.g4 b/ANTRL-Grammatiken/ADT/ADT.g4
new file mode 100644
index 0000000000000000000000000000000000000000..ab0dcedad83d9c04e99d32bba229d10c368065eb
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT.g4
@@ -0,0 +1,26 @@
+grammar ADT;
+
+import TreeAndLexerRules;
+
+/*
+ * Parser Rules
+ */
+
+adt         : name? sorts constructors? operations (vars axioms)? EOF ;
+
+name        : 'name' BEZ ;
+
+sorts       : 'sorts' sort (',' sort )* ;
+sort: BEZ ;
+
+constructors: 'constructors' operation+ ;
+operations  : 'operations' operation+ ;
+operation   : BEZ ':' (sort ('><' sort)* '->')? sort ;
+
+vars: 'vars' var (',' var)* ;
+var : BEZ ':' sort ;
+
+// mytree imported from TreeAndLexerRules
+
+axioms      : 'axioms' axiom+ ;
+axiom       : BEZ ':' mytree '=' mytree;
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp.txt b/ANTRL-Grammatiken/ADT/ADT_Bsp.txt
new file mode 100644
index 0000000000000000000000000000000000000000..f0be162877eb7f20937ded6c8faa27dd2e3b4c04
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT_Bsp.txt
@@ -0,0 +1,14 @@
+sorts Nat, Bool
+operations 
+	null: Nat
+	inc: Nat -> Nat
+	wahr: Bool
+	falsch: Bool
+	gerade: Nat -> Bool
+	ungerade: Nat -> Bool
+vars n : Nat
+axioms 
+	a1: gerade(null) = wahr
+	a2: gerade(inc(null)) = falsch
+	a3: gerade(inc(inc(n))) = gerade(n)
+	a4: ungerade(n) = gerade(inc(n))
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.svg b/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.svg
new file mode 100644
index 0000000000000000000000000000000000000000..73905453a17dca0ed87b96bf0cdf11fdf59263d2
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.svg
@@ -0,0 +1,2230 @@
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\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.txt b/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0db31bc8b4ead4126f7de814388876e72e6fb719
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT_Bsp_NatTree.txt
@@ -0,0 +1,21 @@
+sorts Nat, NatTree
+constructors null:        Nat
+             inc : Nat -> Nat
+             E:                   NatTree
+             B: Nat            -> NatTree
+             N: Nat >< NatTree -> NatTree 
+operations plus: Nat >< Nat -> Nat
+           mal:  Nat >< Nat -> Nat
+           inr: Nat >< NatTree -> NatTree
+           sum:        NatTree -> Nat
+vars n : Nat, m : Nat, t1 : NatTree, t2 : NatTree
+axioms p0: plus(n,null)   = n
+       p1: plus(n,inc(m)) = inc(plus(n,m))
+       m0: mal(n,null)   = null
+       m1: mal(n,inc(m)) = plus(mal(n,m),n)
+       r0: inr(n,E)         = B(n)
+       r1: inr(n,B(m))      = N(m,E,B(n))
+       r2: inr(n,N(m,t1,t2)) = N(m,t1,inr(n,t2))
+       s0: sum(E) = null
+       s1: sum(B(n)) = n
+       s2: sum(N(n,t1,t2)) = plus(n,plus(sum(t1),sum(t2)))
\ No newline at end of file
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new file mode 100644
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diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_Peano.txt b/ANTRL-Grammatiken/ADT/ADT_Bsp_Peano.txt
new file mode 100644
index 0000000000000000000000000000000000000000..81bcfaacd179f083d9d284954e0c0fd462aae8e7
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT_Bsp_Peano.txt
@@ -0,0 +1,11 @@
+name Peano
+sorts Nat
+constructors null: Nat
+             nach: Nat -> Nat 
+operations plus: Nat >< Nat -> Nat
+           mal:  Nat >< Nat -> Nat
+vars n : Nat, m : Nat
+axioms p0: plus(n,null) = n
+       p1: plus(n,nach(m)) = nach(plus(n,m))
+       m0: mal(n,null) = null
+       m1: mal(n,nach(m)) = plus(mal(n,m),n)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_parse_tree.svg b/ANTRL-Grammatiken/ADT/ADT_Bsp_parse_tree.svg
new file mode 100644
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\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_small.txt b/ANTRL-Grammatiken/ADT/ADT_Bsp_small.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b611912d7510a359dbe45e334ae7a6d2a32b1310
--- /dev/null
+++ b/ANTRL-Grammatiken/ADT/ADT_Bsp_small.txt
@@ -0,0 +1,4 @@
+sorts Zahl
+operations plus: Zahl >< Zahl -> Zahl
+vars x : Zahl , y : Zahl
+axioms a1: plus(x,y) = plus(y,x)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/ADT/ADT_Bsp_small_parse_tree.svg b/ANTRL-Grammatiken/ADT/ADT_Bsp_small_parse_tree.svg
new file mode 100644
index 0000000000000000000000000000000000000000..fd901233766c59bb918aa996bf785ebb3d4199ea
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diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task.g4 b/ANTRL-Grammatiken/Aufgabenstellung/Task.g4
new file mode 100644
index 0000000000000000000000000000000000000000..8111a9b79c3bf3a80aa6771d6ce701720f43909b
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task.g4
@@ -0,0 +1,30 @@
+grammar Task;
+
+import EquationRules;
+
+/*
+ * Parser Rules
+ */
+
+task   : task_eq lemma_tasks? task_lemmata? EOF ;
+
+task_eq: 'task' eq ind_var? config ;
+
+lemma_tasks : 'proof lemmata' lemma_task+ ;
+lemma_task  : BEZ ':' eq ind_var? config ;
+
+task_lemmata: 'lemmata' task_lemma+ ;
+task_lemma  : BEZ ':' eq ;
+
+ind_var     : 'induction' BEZ ;
+
+config      : (task_pt | ind_pt) ;
+
+ind_pt      : case_pt+ ih_pt ;
+case_pt     : 'case' BEZ task_pt ;
+ih_pt       : 'IH' maxpt ;
+
+task_pt     : maxpt minsteps maxsteps ;
+maxpt       : ('maxpt' | 'maxPt') NAT ;
+minsteps    : 'minsteps' NAT ;
+maxsteps    : 'maxsteps' NAT ;
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp.txt b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp.txt
new file mode 100644
index 0000000000000000000000000000000000000000..891cda8d93ac733f1c69f83b68f6592a913c15aa
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp.txt
@@ -0,0 +1 @@
+task ungerade(inc(n)) = gerade(n)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.svg b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.svg
new file mode 100644
index 0000000000000000000000000000000000000000..4bf1c25ddd7810891567efcb1d49dfae8d75121b
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.svg
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diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.txt b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.txt
new file mode 100644
index 0000000000000000000000000000000000000000..b076b894875df60240cea2ab47ae95efba504fb1
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_Lemma.txt
@@ -0,0 +1,4 @@
+task ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))) = wahr 
+     maxpt 8 minsteps 4 maxsteps 6
+proof lemmata G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+                   maxpt 2 minsteps 2 maxsteps 2
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_NatTree.svg b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_NatTree.svg
new file mode 100644
index 0000000000000000000000000000000000000000..9aa483977adaf9d069ef93f756b405a450e5e327
--- /dev/null
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diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_NatTree.txt b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_NatTree.txt
new file mode 100644
index 0000000000000000000000000000000000000000..db1626b1e2a794d23e9e24b05f4c18b9e36698f9
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_NatTree.txt
@@ -0,0 +1,21 @@
+task forall n:Nat, t:NatTree : sum(inr(n,t)) = plus(n,sum(t))
+    maxpt 3 minsteps 3 maxsteps 3
+  induction t
+    case E maxpt 4 minsteps 4 maxsteps 6
+    case B maxpt 5 minsteps 5 maxsteps 7
+    case N maxpt 6 minsteps 6 maxsteps 10
+    IH maxpt 1
+
+proof lemmata 
+  Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+      maxpt 0 minsteps 0 maxsteps 0
+    induction n
+      case null maxpt 2 minsteps 2 maxsteps 3
+      case inc  maxpt 3 minsteps 3 maxsteps 4
+      IH maxpt 1
+  Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+    maxpt 7 minsteps 7 maxsteps 10
+
+lemmata
+  L1: forall        m:Nat : plus(null,m)   = m
+  L2: forall n:Nat, m:Nat : plus(inc(n),m) = inc(plus(n,m))
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_plus_komm.svg b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_plus_komm.svg
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diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_plus_komm.txt b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_plus_komm.txt
new file mode 100644
index 0000000000000000000000000000000000000000..de27ffc8ec18756ae30445ec69a0a0b5f1d6ce08
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_plus_komm.txt
@@ -0,0 +1,5 @@
+task forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+  induction n
+    case null maxpt 4 minsteps 6 maxsteps 8
+    case nach maxpt 6 minsteps 9 maxsteps 12
+    IH maxpt 1
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_small.txt b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_small.txt
new file mode 100644
index 0000000000000000000000000000000000000000..728c684cf8400d53a1fcd88066f03f70ba542aed
--- /dev/null
+++ b/ANTRL-Grammatiken/Aufgabenstellung/Task_Bsp_small.txt
@@ -0,0 +1 @@
+task plus(y,x) = plus(x,y)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_komm.svg b/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_komm.svg
new file mode 100644
index 0000000000000000000000000000000000000000..88f3ae8232dcbbd6b482f5cdf9b098c88199b85d
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diff --git a/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_komm.txt b/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_komm.txt
new file mode 100644
index 0000000000000000000000000000000000000000..1558959564cfd92aa240008729049be43549d9ae
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_komm.txt
@@ -0,0 +1,21 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,nach(y)) = nach(y)
+plus(null,nach(y))
+    {p1, lr, plus(null,nach(y)), [null/n,y/m]}
+= nach(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= nach(y)
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed n:Nat : forall m:Nat : plus(n,m) = plus(m,n)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_null.txt b/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_null.txt
new file mode 100644
index 0000000000000000000000000000000000000000..ba66fa8df5aca4c6818e9894af706d8b0929e124
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Induction_Bsp_plus_null.txt
@@ -0,0 +1,12 @@
+proof induction m
+IA zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH fixed m:Nat : plus(null,m) = m
+IS zu zeigen: fixed m:Nat : plus(null,nach(m)) = nach(m)
+plus(null,nach(m))
+    {p1, lr, plus(null,nach(m)), [null/n]}
+= nach(plus(null,m))
+    {IH, lr, plus(null,m), []}
+= nach(m)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Proof.g4 b/ANTRL-Grammatiken/Beweis/Proof.g4
new file mode 100644
index 0000000000000000000000000000000000000000..84138d0976bf40a53086d9744c86391bfc34a5e3
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Proof.g4
@@ -0,0 +1,34 @@
+grammar Proof;
+
+import EquationRules;
+
+/*
+ * Parser Rules
+ */
+
+proof      : lemma* mainProof lemma* EOF ;
+mainProof  : 'proof' singleProof proof_end? ;
+lemma      : lemmaDef singleProof ;
+lemmaDef   :'lemma' BEZ ':' eq ;
+singleProof: induction | transformation ;
+proof_end  : 'q.e.d.' | 'w.z.b.w.' | 'Q.E.D.' | 'W.Z.B.W.';
+
+// Induction
+induction: ind_var? ind_basis+ ind_hyp+ ind_step* ;
+ind_var  : 'induction' BEZ ;
+ind_basis: 'IA' ':'? ind_case transformation ;
+ind_step : 'IS' ':'? ind_case transformation ;
+ind_case : 'zu zeigen:' eq ;
+ind_hyp  : 'IH' ':'? (BEZ ':'?)?  eq;
+
+// Transformation
+transformation     : start_tree transformation_step+ ;
+start_tree         : mytree ;
+transformation_step: '{' axiom',' direction ',' termpart ',' subst '}' '=' result_tree ;
+axiom              : BEZ | 'IH';
+direction          : ( 'lr' | 'rl' ) ;
+termpart           : mytree ;
+subst              : '[' (sub (',' sub)*)? ']' ;
+sub                : mytree '/' BEZ ;
+result_tree        : mytree ;
+
diff --git a/ANTRL-Grammatiken/Beweis/Proof_Bsp_Lemma.svg b/ANTRL-Grammatiken/Beweis/Proof_Bsp_Lemma.svg
new file mode 100644
index 0000000000000000000000000000000000000000..31e9f89e1558aa72a5255c7b772ece3bd12ed714
--- /dev/null
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@@ -0,0 +1,3010 @@
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diff --git a/ANTRL-Grammatiken/Beweis/Proof_Bsp_Lemma.txt b/ANTRL-Grammatiken/Beweis/Proof_Bsp_Lemma.txt
new file mode 100644
index 0000000000000000000000000000000000000000..16fc648b7702958aa40a441b3aef0db8feced894
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Proof_Bsp_Lemma.txt
@@ -0,0 +1,17 @@
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Proof_Bsp_NatTree.svg b/ANTRL-Grammatiken/Beweis/Proof_Bsp_NatTree.svg
new file mode 100644
index 0000000000000000000000000000000000000000..f74f8e0524a6d160a72d4da3dfac218ed8a38ae2
--- /dev/null
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+n
+</text>
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diff --git a/ANTRL-Grammatiken/Beweis/Proof_Bsp_NatTree.txt b/ANTRL-Grammatiken/Beweis/Proof_Bsp_NatTree.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fd0c44ec2a2922bb45237567262330530c8f22c5
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Proof_Bsp_NatTree.txt
@@ -0,0 +1,95 @@
+lemma Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
+
+lemma Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+induction k
+IA: zu zeigen: forall n:Nat, m:Nat : plus(plus(n,m),null) = plus(n,plus(m,null))
+plus(plus(n,m),null) 
+  {p0,lr,plus(plus(n,m),null),[plus(n,m)/n]}
+= plus(n,m)
+  {p0,rl,m,[m/n]} 
+= plus(n,plus(m,null))
+IH: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),inc(k)) = plus(n,plus(m,inc(k)))
+plus(plus(n,m),inc(k)) 
+  {p1,lr,plus(plus(n,m),inc(k)),[plus(n,m)/n,k/m]}
+= inc(plus(plus(n,m),k))
+  {IH,lr,plus(plus(n,m),k),[]}
+= inc(plus(n,plus(m,k)))
+  {p1,rl,inc(plus(n,plus(m,k))),[plus(m,k)/m]}
+= plus(n,inc(plus(m,k)))
+  {p1,rl,inc(plus(m,k)),[m/n,k/m]}
+= plus(n,plus(m,inc(k)))
+
+proof
+IA: zu zeigen: forall n:Nat : sum(inr(n,E)) = plus(n,sum(E))
+sum(inr(n,E)) 
+  {r0,lr,inr(n,E),[]}
+= sum(B(n))
+  {s1,lr,sum(B(n)),[]}
+= n
+  {p0,rl,n,[]}
+= plus(n,null)
+  {s0,rl,null,[]}
+= plus(n,sum(E))
+IA: zu zeigen: forall n:Nat, m:Nat : sum(inr(n,B(m))) = plus(n,sum(B(m)))
+sum(inr(n,B(m))) 
+  {r1,lr,inr(n,B(m)),[]}
+= sum(N(m,E,B(n)))
+  {s2,lr,sum(N(m,E,B(n))),[m/n,E/t1,B(n)/t2]}
+= plus(m,plus(sum(E),sum(B(n))))
+  {s0,lr,sum(E),[]}
+= plus(m,plus(null,sum(B(n))))
+  {s1,lr,sum(B(n)),[]}
+= plus(m,plus(null,n))
+  {L1,lr,plus(null,n),[n/m]}
+= plus(m,n)
+  {Komm,rl,plus(m,n),[]}
+= plus(n,m)
+  {s1,rl,m,[m/n]}
+= plus(n,sum(B(m)))
+IH: IH1 forall n:Nat : fixed t1:NatTree : sum(inr(n,t1)) = plus(n,sum(t1))
+IH: IH2 forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed t1:NatTree, t2:NatTree 
+               : sum(inr(n,N(m,t1,t2))) = plus(n,sum(N(m,t1,t2)))
+sum(inr(n,N(m,t1,t2))) 
+  {r2,lr,inr(n,N(m,t1,t2)),[]}
+= sum(N(m,t1,inr(n,t2)))
+  {s2,lr,sum(N(m,t1,inr(n,t2))),[m/n,inr(n,t2)/t2]}
+= plus(m,plus(sum(t1),sum(inr(n,t2))))
+  {IH2,lr,sum(inr(n,t2)),[]}
+= plus(m,plus(sum(t1),plus(n,sum(t2))))
+  {KommAsso,rl,plus(sum(t1),plus(n,sum(t2))),[sum(t1)/m,sum(t2)/k]}
+= plus(m,plus(n,plus(sum(t1),sum(t2))))
+  {KommAsso,rl,plus(m,plus(n,plus(sum(t1),sum(t2)))),[plus(sum(t1),sum(t2))/k]}
+= plus(n,plus(m,plus(sum(t1),sum(t2))))
+  {s2,rl,plus(m,plus(sum(t1),sum(t2))),[m/n]}
+= plus(n,sum(N(m,t1,t2)))
+
+lemma KommAsso: forall n:Nat, m:Nat, k:Nat : plus(n,plus(m,k)) = plus(m,plus(n,k))
+plus(n,plus(m,k)) 
+  {Asso,rl,plus(n,plus(m,k)),[]}
+= plus(plus(n,m),k)
+  {Komm,rl,plus(n,m),[]}
+= plus(plus(m,n),k)
+  {Asso,lr,plus(plus(m,n),k),[m/n,n/m]}
+= plus(m,plus(n,k))
+
+
+
+
+
diff --git a/ANTRL-Grammatiken/Beweis/Transformation_Bsp.svg b/ANTRL-Grammatiken/Beweis/Transformation_Bsp.svg
new file mode 100644
index 0000000000000000000000000000000000000000..6fc74b76ccaff6dafbef871755726225214074b2
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Transformation_Bsp.svg
@@ -0,0 +1,585 @@
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\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Transformation_Bsp.txt b/ANTRL-Grammatiken/Beweis/Transformation_Bsp.txt
new file mode 100644
index 0000000000000000000000000000000000000000..7b24edf20981ece2cea65895d82b44f4ec5b425e
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Transformation_Bsp.txt
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/Transformation_Bsp_small.txt b/ANTRL-Grammatiken/Beweis/Transformation_Bsp_small.txt
new file mode 100644
index 0000000000000000000000000000000000000000..74976726f9717046e2a7cc7b46cb4b8fc1d5dd2c
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/Transformation_Bsp_small.txt
@@ -0,0 +1,4 @@
+proof
+plus(y,x)
+	{a1, rl, plus(y,x), []}
+= plus(x,y)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/demo)+eof.svg b/ANTRL-Grammatiken/Beweis/demo)+eof.svg
new file mode 100644
index 0000000000000000000000000000000000000000..47c9382c88208c86e123eea252ffdf36536405b4
--- /dev/null
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\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/demo).proof b/ANTRL-Grammatiken/Beweis/demo).proof
new file mode 100644
index 0000000000000000000000000000000000000000..e2587d905da7e40d88a25f2fa21da24784ec453d
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/demo).proof
@@ -0,0 +1,18 @@
+proof
+IA: zu zeigen: add(zero,zero) = add(zero,zero)
+add(zero,zero)
+  {P0,lr,add(zero,zero),[zero/n]}
+= zero)
+  {P0,rl,zero,[zero/n]}
+= add(zero,zero)
+IH: fixed n:N : add(n,zero) = add(zero,n)
+IS: zu zeigen: fixed n:N : add(inc(n),zero) = add(zero,inc(n))
+add(inc(n),zero)
+  {P2,lr,add(inc(n),zero),[n/n,zero/m]}
+= add(n,inc(zero)))
+  {P1,lr,add(n,inc(zero)),[n/n,zero/m]}
+= inc(add(n,zero)) a b c d e f g H I J K !"§$%&/()=??°^-.:,_#'~+*<>|
+  {IH,lr,add(n,zero),[]}
+= inc(add(zero,n)) hier kann ich alles schreiben
+  {P1,rl,inc(add(zero,n)),[zero/n,n/m]}
+= add(zero,inc(n))
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Beweis/demo).svg b/ANTRL-Grammatiken/Beweis/demo).svg
new file mode 100644
index 0000000000000000000000000000000000000000..449e9979e6988bbef8316f59a04ff74406e334f5
--- /dev/null
+++ b/ANTRL-Grammatiken/Beweis/demo).svg
@@ -0,0 +1,1395 @@
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+</text>
+<rect x="1536.499999999999" y="288.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1538" y="297" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="2027.999999999999" y="352.0" width="26.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2029" y="361" style="font-family:sans-serif;font-size:10px;">
+zero
+</text>
+<rect x="1704.249999999999" y="224.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1706" y="233" style="font-family:sans-serif;font-size:10px;">
+{
+</text>
+<rect x="1942.874999999999" y="224.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1944" y="233" style="font-family:sans-serif;font-size:10px;">
+,
+</text>
+<rect x="534.332386363636" y="128.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="536" y="137" style="font-family:sans-serif;font-size:10px;">
+,
+</text>
+<rect x="1311.499999999999" y="352.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1313" y="361" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="567.0" y="224.0" width="44.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="569" y="233" style="font-family:sans-serif;font-size:10px;">
+termpart
+</text>
+<rect x="1590.499999999999" y="352.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1592" y="361" style="font-family:sans-serif;font-size:10px;">
+)
+</text>
+<rect x="1328.124999999999" y="160.0" width="48.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1330" y="169" style="font-family:sans-serif;font-size:10px;">
+ind_case
+</text>
+<rect x="1645.499999999999" y="384.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1647" y="393" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="1708.499999999999" y="352.0" width="26.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1710" y="361" style="font-family:sans-serif;font-size:10px;">
+zero
+</text>
+<rect x="1698.999999999999" y="320.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1700" y="329" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="702.3863636363631" y="128.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="704" y="137" style="font-family:sans-serif;font-size:10px;">
+}
+</text>
+<rect x="1491.249999999999" y="224.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1493" y="233" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="1867.749999999999" y="320.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1869" y="329" style="font-family:sans-serif;font-size:10px;">
+,
+</text>
+<rect x="68.25" y="192.0" width="55.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="70" y="201" style="font-family:sans-serif;font-size:10px;">
+zu zeigen:
+</text>
+<rect x="1662.999999999999" y="416.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1664" y="425" style="font-family:sans-serif;font-size:10px;">
+n
+</text>
+<rect x="93.0" y="288.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="95" y="297" style="font-family:sans-serif;font-size:10px;">
+,
+</text>
+<rect x="1880.499999999999" y="352.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1882" y="361" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="1030.249999999999" y="256.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1032" y="265" style="font-family:sans-serif;font-size:10px;">
+)
+</text>
+<rect x="913.2499999999991" y="256.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="915" y="265" style="font-family:sans-serif;font-size:10px;">
+(
+</text>
+<rect x="930.7826704545446" y="128.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="932" y="137" style="font-family:sans-serif;font-size:10px;">
+)
+</text>
+<rect x="1295.999999999999" y="320.0" width="48.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1297" y="329" style="font-family:sans-serif;font-size:10px;">
+treeNode
+</text>
+<rect x="1245.749999999999" y="256.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1247" y="265" style="font-family:sans-serif;font-size:10px;">
+:
+</text>
+<rect x="1649.499999999999" y="352.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1651" y="361" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="376.5" y="352.0" width="26.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="378" y="361" style="font-family:sans-serif;font-size:10px;">
+zero
+</text>
+<rect x="727.7286931818176" y="128.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="729" y="137" style="font-family:sans-serif;font-size:10px;">
+=
+</text>
+<rect x="1884.499999999999" y="320.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1886" y="329" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="986.2499999999991" y="256.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="988" y="265" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="857.2499999999991" y="256.0" width="20.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="859" y="265" style="font-family:sans-serif;font-size:10px;">
+var
+</text>
+<rect x="1271.499999999999" y="352.0" width="18.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1273" y="361" style="font-family:sans-serif;font-size:10px;">
+inc
+</text>
+<rect x="367.0" y="320.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="369" y="329" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="2114.499999999999" y="320.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2116" y="329" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="794.4133522727266" y="128.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="796" y="137" style="font-family:sans-serif;font-size:10px;">
+(
+</text>
+<rect x="448.0" y="224.0" width="32.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="450" y="233" style="font-family:sans-serif;font-size:10px;">
+axiom
+</text>
+<rect x="1147.249999999999" y="256.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1149" y="265" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="2066.499999999999" y="288.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2068" y="297" style="font-family:sans-serif;font-size:10px;">
+/
+</text>
+<rect x="833.9999999999991" y="192.0" width="60.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="835" y="201" style="font-family:sans-serif;font-size:10px;">
+eq_var_def
+</text>
+<rect x="2092.666666666666" y="224.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2094" y="233" style="font-family:sans-serif;font-size:10px;">
+=
+</text>
+<rect x="956.1249999999991" y="128.0" width="42.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="958" y="137" style="font-family:sans-serif;font-size:10px;">
+ind_hyp
+</text>
+<rect x="1580.499999999999" y="288.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1582" y="297" style="font-family:sans-serif;font-size:10px;">
+)
+</text>
+<rect x="2133.749999999999" y="256.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2135" y="265" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="195.0" y="288.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="197" y="297" style="font-family:sans-serif;font-size:10px;">
+(
+</text>
+<rect x="566.375" y="192.0" width="101.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="568" y="201" style="font-family:sans-serif;font-size:10px;">
+transformation_step
+</text>
+<rect x="616.0" y="384.0" width="26.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="618" y="393" style="font-family:sans-serif;font-size:10px;">
+zero
+</text>
+<rect x="1559.999999999999" y="416.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1561" y="425" style="font-family:sans-serif;font-size:10px;">
+n
+</text>
+<rect x="1772.249999999999" y="224.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1774" y="233" style="font-family:sans-serif;font-size:10px;">
+direction
+</text>
+<rect x="2010.499999999999" y="224.0" width="31.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2012" y="233" style="font-family:sans-serif;font-size:10px;">
+subst
+</text>
+<rect x="2180.999999999999" y="416.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2182" y="425" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="1485.749999999999" y="256.0" width="48.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="1487" y="265" style="font-family:sans-serif;font-size:10px;">
+treeNode
+</text>
+</svg>
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Lib/EquationRules.g4 b/ANTRL-Grammatiken/Lib/EquationRules.g4
new file mode 100644
index 0000000000000000000000000000000000000000..9a735c87e65658eb9a2df1a6012b8499551320d3
--- /dev/null
+++ b/ANTRL-Grammatiken/Lib/EquationRules.g4
@@ -0,0 +1,17 @@
+grammar EquationRules;
+
+import TreeAndLexerRules;
+
+/*
+ * Parser Rules
+ */
+
+var : BEZ ':' sort ;
+sort: BEZ;
+
+forall: 'forall' var (',' var)* ;
+fixed : 'fixed'  var (',' var)* ;
+
+eq_var_def: ( (fixed ':') (forall ':')? | (forall ':') (fixed ':')? )? ;
+
+eq: eq_var_def mytree '=' mytree ;
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Lib/TreeAndLexerRules.g4 b/ANTRL-Grammatiken/Lib/TreeAndLexerRules.g4
new file mode 100644
index 0000000000000000000000000000000000000000..1f21ac0978f0663e2d24c6bebfd9c700f258266e
--- /dev/null
+++ b/ANTRL-Grammatiken/Lib/TreeAndLexerRules.g4
@@ -0,0 +1,19 @@
+grammar TreeAndLexerRules;
+
+// tree is a reserved word in antrl3, a parser rule with that name is confusing antlr4
+
+mytree   : treeLeaf | treeNode ;
+treeLeaf : BEZ ; 
+treeNode : BEZ '(' mytree (',' mytree)*  ')' ;
+
+/*
+ * Lexer Rules
+ */
+
+BEZ       : ([a-z] | [A-Z]) ([a-z] | [A-Z] | [0-9] | '_')* ;
+
+NAT       : '0' | ([1-9] [0-9]*) ;
+
+WHITESPACE: (' ' | '\t')        -> skip ;
+
+NEWLINE   : ('\r'? '\n' | '\r') -> skip ;
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Lib/Tree_Bsp.txt b/ANTRL-Grammatiken/Lib/Tree_Bsp.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d92fdd0da7396a6eb97fe4bdc99e26c428ae5216
--- /dev/null
+++ b/ANTRL-Grammatiken/Lib/Tree_Bsp.txt
@@ -0,0 +1 @@
+plus(x,y)
\ No newline at end of file
diff --git a/ANTRL-Grammatiken/Lib/Tree_Bsp_parse_tree.svg b/ANTRL-Grammatiken/Lib/Tree_Bsp_parse_tree.svg
new file mode 100644
index 0000000000000000000000000000000000000000..38281af7f8e850850b668dabf8b9eff3740301f5
--- /dev/null
+++ b/ANTRL-Grammatiken/Lib/Tree_Bsp_parse_tree.svg
@@ -0,0 +1,60 @@
+<svg width="1872.2" height="445.50000000000006" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><line x1="82.0" y1="7.5" x2="82.0" y2="32.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="12.0" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="35.0" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="64.5" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<line x1="64.5" y1="71.5" x2="64.5" y2="96.0" style="stroke:black; stroke-width:1px;" />
+<line x1="64.5" y1="103.5" x2="64.5" y2="128.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="93.5" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="122.5" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<line x1="122.5" y1="71.5" x2="122.5" y2="96.0" style="stroke:black; stroke-width:1px;" />
+<line x1="122.5" y1="103.5" x2="122.5" y2="128.0" style="stroke:black; stroke-width:1px;" />
+<line x1="82.0" y1="39.5" x2="152.0" y2="64.0" style="stroke:black; stroke-width:1px;" />
+<rect x="100.0" y="96.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="102" y="105" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="0.0" y="64.0" width="24.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="2" y="73" style="font-family:sans-serif;font-size:10px;">
+plus
+</text>
+<rect x="104.0" y="64.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="106" y="73" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="31.0" y="64.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="33" y="73" style="font-family:sans-serif;font-size:10px;">
+(
+</text>
+<rect x="46.0" y="64.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="48" y="73" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="42.0" y="96.0" width="45.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="44" y="105" style="font-family:sans-serif;font-size:10px;">
+treeLeaf
+</text>
+<rect x="117.5" y="128.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="119" y="137" style="font-family:sans-serif;font-size:10px;">
+y
+</text>
+<rect x="59.5" y="128.0" width="10.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="61" y="137" style="font-family:sans-serif;font-size:10px;">
+x
+</text>
+<rect x="63.5" y="0.0" width="37.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="65" y="9" style="font-family:sans-serif;font-size:10px;">
+mytree
+</text>
+<rect x="90.0" y="64.0" width="7.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="92" y="73" style="font-family:sans-serif;font-size:10px;">
+,
+</text>
+<rect x="148.0" y="64.0" width="8.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="150" y="73" style="font-family:sans-serif;font-size:10px;">
+)
+</text>
+<rect x="58.0" y="32.0" width="48.0" height="15.0" style="fill:orange; stroke:rgb(0,0,0);" rx="1"/>
+<text x="60" y="41" style="font-family:sans-serif;font-size:10px;">
+treeNode
+</text>
+</svg>
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ausgabeverwaltung/Ausgabeverwalter.cs b/BaumtransformationBewerter/Ausgabeverwaltung/Ausgabeverwalter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..3cfd15e49b9170ca0e8f244fe82be040f912a74a
--- /dev/null
+++ b/BaumtransformationBewerter/Ausgabeverwaltung/Ausgabeverwalter.cs
@@ -0,0 +1,175 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using System.IO;
+using System.Linq;
+
+namespace Ausgabeverwaltung
+{
+    /// <summary>
+    /// Outputs in File "Automatische_Bewertung.txt" when OutPutMode is "file", which is standard.
+    /// Outputs in the "OutPut" string when OutPutMode is "string".
+    /// </summary>
+    public class Ausgabeverwalter
+    {
+        private string OutPutMode;
+        private string OutPut;
+        public Ausgabeverwalter()
+        {
+            OutPutMode = "file";
+            OutPut = "";
+        }
+
+        public Ausgabeverwalter(string OutPutMode)
+        {
+            if (OutPutMode == "file" || OutPutMode == "string")
+                this.OutPutMode = OutPutMode;
+            else throw new Exception("Unknown OutPutMode set for Ausgabeverwalter: " + OutPutMode);
+            OutPut = "";
+        }
+
+        /// <summary>
+        /// Returns OutPut-string. Warning: OutPut-string is empty if OutPutMode is not "string".
+        /// </summary>
+        /// <returns></returns>
+        public string GetOutPut() => OutPut;
+
+        public void Ausgabe(Container con, ImmutableList<Bewertung.IAssessmentResult> bewertung, int BewertungRound)
+        {
+            if (bewertung[0] is Bewertung.AssessmentResult)
+                Ausgabe(con, bewertung.Cast<Bewertung.AssessmentResult>().ToList().ToImmutableList(), BewertungRound);
+            else throw new Exception("Can only output AssessmentResults but got "+bewertung[0].GetType());
+        }
+
+        public void Ausgabe(Container con, ImmutableList<Bewertung.AssessmentResult> Bewertung, int BewertungRound)
+        {
+            (double,double) gesamtBewertung = (0.0,0.0);
+            foreach (var ar in Bewertung)
+            {
+                gesamtBewertung.Item1 += ar.assessment;
+                gesamtBewertung.Item2 += ar.MaxPt();
+            }
+            gesamtBewertung.Item1 = Math.Round(gesamtBewertung.Item1, BewertungRound);
+            string result = "Gesamtbewertung: " + gesamtBewertung.Item1 + " von " + gesamtBewertung.Item2 + "\r\n\r\n";
+            result += "Bewertung nach Teilaufgaben:\r\n";
+            foreach(var ar in Bewertung)
+            {
+                if (ar.task.name == "main task") result += "Hauptaufgabe: "; else result += "Lemma " + ar.task.name + ": ";
+                result += Math.Round(ar.assessment,BewertungRound) + " von " + ar.MaxPt() + "\r\n";
+                foreach (var ipa in ar.confIndAssessment)
+                    result += "  "+ ipa.partID+": "+ Math.Round(ipa.Assessment, BewertungRound) + " von " + ipa.maxPt + "\r\n";
+            }
+            result += "\r\nFehler nach Lemmata:\r\n\r\n"+ printAllErrors(con);
+            if (OutPutMode == "file")
+            {
+                File.WriteAllText("Automatische_Bewertung.txt", result);
+                Console.WriteLine("Ausgabe in Automatische_Bewertung.txt.");
+            }
+            else if (OutPutMode == "string") OutPut = result;
+            else throw new Exception("Unknown OutPutMode set in Ausgabeverwalter: " + OutPutMode);
+        }
+
+        public string printAllErrors(Container con)
+        {
+            string str = "";
+            str += printAllErrors(con.Proof.proof);
+            if (str != "") str = "Hauptbeweis\r\n" + str;
+            foreach(Lemma lemma in con.Proof.lemmata)
+            {
+                string lemmastr = "";
+                if (lemma.errors.Count > 0) lemmastr += ErrorMessage(lemma.errors, false, -1, -1);
+                lemmastr += printAllErrors(lemma.proof);
+                if (lemmastr != "")
+                {
+                    str += "Lemma " + lemma.name;
+                    if (lemma.usefulFor.Count > 0)
+                    {
+                        str += " geht ein in Teilaufgaben: ";
+                        foreach (TaskAssignment ta in lemma.usefulFor)
+                            str += ta.ToString() + " ";
+                    } else str += " ohne Bewertung ";
+                    str += "\r\n";
+                    str += lemmastr;
+                }
+            }
+            if (str == "") str = NoErrors();
+            return str;
+        }
+
+        private string printAllErrors(SingleProof sp)
+        {
+            if (sp is Transformation tr) return printAllErrors(tr);
+            else if (sp is Induction ind) return printAllErrors(ind);
+            else throw new Exception("Found a proof, that is neither Transformation nor Induction!");
+        }
+
+        private string printAllErrors(Induction ind)
+        {
+            string str = "";
+            if (ind.errors.Count > 0) str += ErrorMessage(ind.errors, true, "", false, -1, -1);
+            foreach(InductionHypothesis ih in ind.indHyps)
+                if (ih.errors.Count > 0) str += ErrorMessage(ih.errors, true, ih.name, false, -1, -1);
+            foreach (InductionCase ic in ind.indCases)
+            {
+                string IndPart = "Fall ";
+                if (ic.Constructor != null) IndPart += ic.Constructor.name;
+                else IndPart += ic.eq.leftTree.ToString() + " = " + ic.eq.rightTree.ToString();
+                string casestr = "";
+                if (ic.errors.Count > 0) casestr += ErrorMessage(ic.errors, true, IndPart, false, -1, -1);
+                casestr += printAllErrors(ic.proof,true,IndPart);
+                if (casestr != "") str += casestr;
+            }
+            return str;
+        }
+
+        private string printAllErrors(Transformation tr) => printAllErrors(tr, false, "");
+        private string printAllErrors(Transformation tr, bool ind, string indPart)
+        {
+            string str = "";
+            if (tr.errors.Count > 0) str += ErrorMessage(tr.errors,ind,indPart,true,-1,-1); 
+            for(int tsi = 0; tsi < tr.transformationSteps.Count; tsi++)
+            {
+                TransformationStep ts = tr.transformationSteps[tsi];
+                if (ts.errors.Count > 0) str += ErrorMessage(ts.errors, ind, indPart, true, (tsi + 1), -1);
+                for(int subi = 0; subi <  ts.substitutions.Count; subi++)
+                {
+                    Substitution sub = ts.substitutions[subi];
+                    if (sub.errors.Count > 0) str += ErrorMessage(sub.errors, ind, indPart, true, (tsi + 1), (subi + 1)); 
+                }
+            }
+            return str;
+        }
+
+        public string NoErrors() => "No Errors.";
+
+        public string ErrorMessage(List<Error> errors, int ts, int sub) => ErrorMessage(errors, true, ts, sub);
+        public string ErrorMessage(List<Error> errors, bool tr, int ts, int sub) => ErrorMessage(errors, false, "", tr, ts, sub);
+        /// <param name="errors"></param>
+        /// <param name="ind">Induction or not?</param>
+        /// <param name="indPart">if ind: identifying name of part.</param>
+        /// <param name="tr"> true -> Transformation; false -> Lemma</param>
+        /// <param name="ts">Number of transformationstep</param>
+        /// <param name="sub">Number of substitution</param>
+        /// <returns></returns>
+        public string ErrorMessage(List<Error> errors, bool ind, string indPart, bool tr, int ts, int sub)
+        {
+            string str = "Errors in ";
+            if (ind)
+                if (indPart == "") str += "Induction";
+                else               str += indPart;
+            if (!tr && !ind) str += "Lemma";
+            if (tr)
+            { 
+                if      (ind      ) str += ", ";
+                if      (ts  == -1) str += "Transformation";
+                else if (sub == -1) str += "TransformationStep " + ts;
+                else                str += "TransformationStep " + ts + ", Substitution " + sub;
+            }
+            str += ":\r\n";
+            foreach (Error err in errors)
+                str += "    " + err.errorCode + " " + err.Output + "\r\n";
+            return str;
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/BaumtransformationBewerter.csproj b/BaumtransformationBewerter/BaumtransformationBewerter.csproj
new file mode 100644
index 0000000000000000000000000000000000000000..72fe0102362ea20c6370ce821b5875a0a4c8ef35
--- /dev/null
+++ b/BaumtransformationBewerter/BaumtransformationBewerter.csproj
@@ -0,0 +1,14 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+  <PropertyGroup>
+    <OutputType>Exe</OutputType>
+    <TargetFramework>netcoreapp6.0</TargetFramework>
+    <StartupObject>ProgramForHuman</StartupObject>
+    <AssemblyName>BaumtransformationBewerterHuman</AssemblyName>
+  </PropertyGroup>
+
+  <ItemGroup>
+    <PackageReference Include="Antlr4.Runtime.Standard" Version="4.8.0" />
+  </ItemGroup>
+
+</Project>
diff --git a/BaumtransformationBewerter/BaumtransformationBewerter.sln b/BaumtransformationBewerter/BaumtransformationBewerter.sln
new file mode 100644
index 0000000000000000000000000000000000000000..aeb1d624c79b7ed34103de6dd2bc4ddc418a0218
--- /dev/null
+++ b/BaumtransformationBewerter/BaumtransformationBewerter.sln
@@ -0,0 +1,25 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 16
+VisualStudioVersion = 16.0.30413.136
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "BaumtransformationBewerter", "BaumtransformationBewerter.csproj", "{92368058-E4B1-446D-8CCD-DC95512F9CA6}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{92368058-E4B1-446D-8CCD-DC95512F9CA6}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{92368058-E4B1-446D-8CCD-DC95512F9CA6}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{92368058-E4B1-446D-8CCD-DC95512F9CA6}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{92368058-E4B1-446D-8CCD-DC95512F9CA6}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {CC6FE5A7-3FC6-4A91-858E-CF70F4CFCB8F}
+	EndGlobalSection
+EndGlobal
diff --git a/BaumtransformationBewerter/Bewertung/AbstractBewerter.cs b/BaumtransformationBewerter/Bewertung/AbstractBewerter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..51c639968f598ade773f6005ab828d67aee50d78
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/AbstractBewerter.cs
@@ -0,0 +1,120 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using System.Linq;
+
+namespace Bewertung
+{
+    /// <summary>
+    /// This class is the abstract variant for the chosen assessment approach.
+    /// It holds all required and helpful dependencies between tasks, lemmata and their basics of assessment.
+    /// </summary>
+    public abstract class AbstractBewerter : IBewerter
+    {
+        /// <summary> Configuration of the Assessment </summary>
+        protected int Round;
+        /// <summary> Configuration of the Assessment </summary>
+        protected Dictionary<int, double> weights;
+        /// <summary> The objects of assessment - for each single task </summary>
+        protected ImmutableList<AssessmentObject> bewertung;        
+
+        /// <summary>
+        /// initializes all required data for the assessment.
+        /// </summary>
+        /// <param name="con"></param>
+        public AbstractBewerter(Container con)
+        {
+            Round = 5;
+            weights = new Dictionary<int, double>()
+            {
+                [1] = 1.0,
+                [2] = 0.25,
+                [3] = 0.5,
+                [4] = 0.25,
+                [5] = 0.5,
+                [6] = 0.25,
+                [7] = 0.25
+            };
+            // Init Bewertung
+            List<AssessmentObject> bewertung = new List<AssessmentObject>();
+            Lemma mainProofLemma = new Lemma("main proof", con.Task.task.eq, con.Task.task.fixedVars, con.Proof.proof);
+            mainProofLemma.OwnTask = con.Task.task;
+            mainProofLemma.usefulFor.Add(new TaskAssignment(con.Task.task));
+            mainProofLemma.IsProved = true;
+            List<Lemma> usefulLemmata = new List<Lemma>() { mainProofLemma };
+            foreach (Lemma lemma in con.Proof.lemmata)
+                if (lemma.GetTaskAssignment(con.Task.task) != null) usefulLemmata.Add(lemma);
+            bewertung.Add(new AssessmentObject(con.Task.task, usefulLemmata));
+            foreach (SingleTask task in con.Task.lemmaTasks)
+            {
+                mainProofLemma = null;
+                usefulLemmata = new List<Lemma>();
+                foreach (Lemma lemma in con.Proof.lemmata)
+                    if (lemma.OwnTask == task) { mainProofLemma = lemma; break; }
+                if (mainProofLemma != null)
+                {
+                    usefulLemmata.Add(mainProofLemma);
+                    foreach (Lemma lemma in con.Proof.lemmata)
+                        if (lemma.OwnTask == null && lemma.GetTaskAssignment(task) != null) usefulLemmata.Add(lemma);
+                }
+                bewertung.Add(new AssessmentObject(task, usefulLemmata));
+            }
+            this.bewertung = bewertung.ToImmutableList();
+        }
+
+        /// <summary>
+        /// expands the 1 paramenter constructor by user defined configuration of the assessment.
+        /// </summary>
+        /// <param name="con"></param>
+        /// <param name="config"></param>
+        public AbstractBewerter(Container con, string config) : this(con)
+        {
+            string[] lines = config.Split('\n');
+            foreach (string line in lines)
+            {
+                string[] words = line.Split(' ', 2);
+                switch (words[0].ToLower())
+                {
+                    case "round": Round = Int32.Parse(words[1].Trim()); break;
+                    case "1": weights[1] = Double.Parse(words[1].Trim()); break;
+                    case "2": weights[2] = Double.Parse(words[1].Trim()); break;
+                    case "3": weights[3] = Double.Parse(words[1].Trim()); break;
+                    case "4": weights[4] = Double.Parse(words[1].Trim()); break;
+                    case "5": weights[5] = Double.Parse(words[1].Trim()); break;
+                    case "6": weights[6] = Double.Parse(words[1].Trim()); break;
+                    case "7": weights[7] = Double.Parse(words[1].Trim()); break;
+                    default: throw new Exception("Found unknown key " + words[0] + " in the config.");
+                }
+            }
+        }
+
+        /// <summary>
+        /// (Re)initialises the assessment. Only the attribute "bewertung" is resetted, so every task has 0 points.
+        /// </summary>
+        protected void initializeBewertung()
+        {
+            for (int ID = 0; ID < bewertung.Count; ID++)
+                bewertung[ID].init();
+        }
+
+        protected double confPt(int maxPt, double abstrMaxPt, int minSteps)
+            => maxPt * Math.Min(1.0, abstrMaxPt / Math.Max(1.0,minSteps));
+
+        public abstract void Bewerte();
+        public ImmutableList<IAssessmentResult> GetBewertung()
+        {
+            List<IAssessmentResult> result = new List<IAssessmentResult>();
+            foreach (AssessmentObject aO in bewertung)
+            {
+                List<InductionPartAssessment> ipaReadOnly = new List<InductionPartAssessment>();
+                foreach (InductionPartAssessment ipa in aO.confIndAssessment)
+                    ipaReadOnly.Add(new InductionPartAssessment(ipa));
+                result.Add(new AssessmentResult(aO.task, aO.assessment, ipaReadOnly.ToImmutableList()));
+            }
+            return result.ToImmutableList();
+        }
+        public int GetRound() => Round;        
+
+    }
+}
diff --git a/BaumtransformationBewerter/Bewertung/AssessmentObject.cs b/BaumtransformationBewerter/Bewertung/AssessmentObject.cs
new file mode 100644
index 0000000000000000000000000000000000000000..c818bb887a62bb881cde52c28c934264f8b78a77
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/AssessmentObject.cs
@@ -0,0 +1,89 @@
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using Eingabeverwaltung.Metamodell;
+
+namespace Bewertung
+{
+    public class AssessmentObject
+    {
+        public readonly SingleTask task;
+        public readonly List<Lemma> usefulLemmata;
+        internal double assessment;
+        internal ImmutableList<InductionPartAssessment> confIndAssessment;
+        public ImmutableDictionary<Lemma, int> AbstractMaxLemmaPoints;
+
+        
+        /// <param name="task"></param>
+        /// <param name="usefulLemmata">first useful lemma should be the main lemma of the task</param>
+        public AssessmentObject(SingleTask task, List<Lemma> usefulLemmata)
+        {
+            this.task = task;
+            this.usefulLemmata = usefulLemmata;
+            assessment = 0.0;
+            // init lemmaAbstractPoints
+            Dictionary<Lemma, int> AbstractMaxLemmaPoints = new Dictionary<Lemma, int>();
+            foreach (Lemma lemma in usefulLemmata)
+                if (lemma.proof is Transformation tr)
+                    AbstractMaxLemmaPoints.Add(lemma, tr.transformationSteps.Count);
+                else if (lemma.proof is Induction ind)
+                    AbstractMaxLemmaPoints.Add(lemma, lemmaAbstractPoints(ind));
+            this.AbstractMaxLemmaPoints = AbstractMaxLemmaPoints.ToImmutableDictionary();
+            // init confIndAssessment
+            List<InductionPartAssessment> confIndAssessment = new List<InductionPartAssessment>();
+            if (task.config is InductionConfig indConf)
+            {
+                foreach (InductionCaseConfig icC in indConf.indCaseConfigs)
+                    if (icC.indCase is BasicConstructor)
+                        confIndAssessment.Add(new InductionPartAssessment(icC.config.maxPt, "Fall " + icC.indCase.name));
+                confIndAssessment.Add(new InductionPartAssessment(indConf.indHypConfig.maxPt, "IH"));
+                foreach (InductionCaseConfig icC in indConf.indCaseConfigs)
+                    if (icC.indCase is BuildingConstructor)
+                        confIndAssessment.Add(new InductionPartAssessment(icC.config.maxPt, "Fall " + icC.indCase.name));
+            }
+            this.confIndAssessment = confIndAssessment.ToImmutableList();
+        }
+
+        internal void init()
+        {
+            assessment = 0.0;
+            foreach (InductionPartAssessment ipa in confIndAssessment)
+                ipa.Assessment = 0.0;
+        }
+
+        private int lemmaAbstractPoints(Induction ind)
+        {
+            int result = 1; // 1 for ih
+            foreach (InductionCase ic in ind.indCases)
+            {
+                bool err33 = false;
+                foreach (Error err in ic.errors)
+                    if (err.errorCode == 33) { err33 = true; break; } // invalid ind cases are not assessed
+                if (!err33)
+                    result += ic.proof.transformationSteps.Count;
+            }
+            return result;
+        }
+
+        /// <summary>
+        /// Returns the maximum abstract points of the single Task of this AssessmentObject
+        /// </summary>
+        /// <returns></returns>
+        public double AbstractMaxTaskPoints() 
+        {
+            double result = 0.0; ImmutableDictionary<Lemma, int> abstrmlp = AbstractMaxLemmaPoints;
+            if (task.config is InductionConfig)
+                abstrmlp = abstrmlp.Remove(usefulLemmata[0]); // because its immutable it don't destroys AbstractMaxLemmaPoints
+            foreach (var abstractMaxLemmaPoints in abstrmlp)
+                result += (double)abstractMaxLemmaPoints.Value / abstractMaxLemmaPoints.Key.usefulFor.Count;
+            return result;
+        }
+
+        internal InductionPartAssessment findIPA(string name)
+        {
+            foreach (InductionPartAssessment ipa in confIndAssessment)
+                if (ipa.partID == name) return ipa;
+            throw new Exception("Could not find InductionPartAssessment " + name);
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Bewertung/AssessmentResult.cs b/BaumtransformationBewerter/Bewertung/AssessmentResult.cs
new file mode 100644
index 0000000000000000000000000000000000000000..737bbb0db41e427e5e59e90ef3c6d73e0d23236f
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/AssessmentResult.cs
@@ -0,0 +1,29 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Immutable;
+
+namespace Bewertung
+{
+    /// <summary>
+    /// This is the readOnly result of assessment
+    /// </summary>
+    public class AssessmentResult : IAssessmentResult
+    {
+        public readonly SingleTask task;
+        public readonly double assessment;
+        public readonly ImmutableList<InductionPartAssessment> confIndAssessment;
+
+        public AssessmentResult(SingleTask task, double assessment, ImmutableList<InductionPartAssessment> confIndAssessment)
+        {
+            this.task = task;
+            this.assessment = assessment;
+            this.confIndAssessment = confIndAssessment;
+        }
+
+        /// <summary>
+        /// Returns the maximum points of the single Task and the configured induction parts of its main proof
+        /// </summary>
+        /// <returns></returns>
+        public int MaxPt() => task.config.MaxPt();
+        public double Assessment() => assessment;
+    }
+}
diff --git a/BaumtransformationBewerter/Bewertung/Bewerter.cs b/BaumtransformationBewerter/Bewertung/Bewerter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ea6ec2492975bf615a6766d0e96a93ca94fa5c18
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/Bewerter.cs
@@ -0,0 +1,266 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+
+namespace Bewertung {
+    public class Bewerter : AbstractBewerter
+    {
+        private Container con;
+        public Bewerter(Container con) : base(con) { this.con = con; } 
+
+        public Bewerter(Container con, string config) : base(con,config) { this.con = con; }
+
+        public override void Bewerte()
+        {
+            initializeBewertung();
+            bool NoErrors() 
+            {
+                Ausgabeverwaltung.Ausgabeverwalter aus = new Ausgabeverwaltung.Ausgabeverwalter();
+                return aus.printAllErrors(con) == aus.NoErrors();
+            }
+            if (NoErrors())
+            {   // if NoErrors, don't calculate assessment, instead give maxPt.
+                // Cause: due to wrong configuration of minSteps calculation of assessment could give less than maxPt for a correct proof.
+                foreach(AssessmentObject aO in bewertung)
+                {
+                    aO.assessment = aO.task.config.MaxPt();
+                    if (aO.task.config is InductionConfig indConf)
+                        foreach (InductionPartAssessment ipa in aO.confIndAssessment)
+                            ipa.Assessment = ipa.maxPt;
+                }
+                return;
+            }
+            foreach(AssessmentObject aO in bewertung)
+            {
+                if (aO.usefulLemmata.Count == 0) continue;
+                List<Lemma> usefulLemmata = new List<Lemma>(aO.usefulLemmata);
+                Lemma mainLemma = usefulLemmata[0];
+                if (aO.task.config is InductionConfig indConf && mainLemma.proof is Induction ind) // Assessment with induction config ( is 0.0 if mainLemma.proof is Transformation)
+                {
+                    usefulLemmata.RemoveAt(0); // do not regular assessment on main lemma later
+                    if (HasIndErrors(ind)) continue; // assessment is 0.0
+                    foreach (Lemma lemma in usefulLemmata)
+                        if (lemma.GetTaskAssignment(aO.task).IndCases.Count == 0)
+                            throw new Exception("Lemma "+lemma.name+" is useful for task "+aO.task+" with induction config but don't knows to which induction case it is useful.");
+                    aO.findIPA("IH").Assessment = indConf.indHypConfig.maxPt * Bewertung(ind.indHyps);
+                    foreach (InductionCase ic in ind.indCases)
+                    {
+                        bool err33 = false;
+                        foreach (Error err in ic.errors)
+                            if (err.errorCode == 33) { err33 = true; break; } // invalid ind cases are not assessed
+                        if (err33) continue;
+                        if (ic.Constructor == null) throw new Exception("Constructor of valid ind case is null in assessment!");
+                        double errorPoints = ic.proof.transformationSteps.Count - Bewertung(ic);
+                        double abstrMaxPt = ic.proof.transformationSteps.Count;
+                        foreach(Lemma lemma in usefulLemmata)
+                            if (lemma.GetTaskAssignment(aO.task).IndCases.Contains(ic.Constructor))
+                            {
+                                errorPoints += ( aO.AbstractMaxLemmaPoints[lemma] - Bewertung(lemma) ) 
+                                             / ( lemma.usefulFor.Count * lemma.GetTaskAssignment(aO.task).IndCases.Count );
+                                abstrMaxPt += aO.AbstractMaxLemmaPoints[lemma];
+                            }
+                        InductionCaseConfig icConfig = indConf.GetIndCaseConfig(ic.Constructor);
+                        if (icConfig == null) throw new Exception("Cannot find config for induction case " + ic.Constructor.name + ".");
+                        double confPt = base.confPt(icConfig.config.maxPt, abstrMaxPt, icConfig.config.minSteps);
+                        aO.findIPA("Fall " + ic.Constructor.name).Assessment = Math.Max(0.0, confPt - icConfig.config.maxPt * errorPoints / Math.Max(1.0, Math.Min(icConfig.config.maxSteps, abstrMaxPt)));
+                    }
+                    foreach (InductionPartAssessment ipa in aO.confIndAssessment)
+                        aO.assessment += ipa.Assessment;
+                    if (containsError23(mainLemma)) aO.assessment -= aO.task.config.MaxPt() * weights[5];
+                }
+                else if (aO.task.config is SingleConfig sConf) // Assessment with simple config
+                {
+                    double errorPoints = 0.0;
+                    foreach (Lemma lemma in usefulLemmata)
+                        errorPoints += ( aO.AbstractMaxLemmaPoints[lemma] - Bewertung(lemma) ) / lemma.usefulFor.Count;
+                    errorPoints = errorPoints / Math.Max(1.0, Math.Min(sConf.maxSteps, aO.AbstractMaxTaskPoints()));
+                    if (containsError23(mainLemma)) errorPoints += weights[5];
+                    double confPt = base.confPt(aO.task.config.MaxPt(), aO.AbstractMaxTaskPoints(), sConf.minSteps);
+                    aO.assessment = Math.Max(0.0, confPt - (aO.task.config.MaxPt() * errorPoints));
+                }                
+            }
+            bool containsError23(Lemma lemma)
+            {
+                foreach (Error err in lemma.errors)
+                {
+                    switch (err.errorCode)
+                    {
+                        case 20: break;
+                        case 22: break;
+                        case 23: return true;
+                        default: throw new Exception("Found unexpected Error " + err.errorCode + " in lemma.");
+                    }
+                }
+                return false;
+            }
+        }
+
+        /// <summary>
+        /// Abstract Assessment of one lemma.
+        /// </summary>
+        /// <param name="lemma"></param>
+        /// <returns></returns>
+        private double Bewertung(Lemma lemma)
+        {
+            foreach (Error err in lemma.errors)
+                switch (err.errorCode)      
+                {
+                    case 20: return 0.0;
+                    case 22: throw new Exception("Found error 22 in assessment of Lemmata. Lemmata with this error should not be assessed here.");
+                    case 23: /*This must be done on Assessment for whole task*/break; 
+                    default: throw new Exception("Found unexpected Error " + err.errorCode + " in lemma.");
+                }
+            if (!(bool)lemma.IsProved) return 0.0;
+            return Bewertung(lemma.proof);
+        }
+
+        /// <summary>
+        /// Abstract Assessment of one single proof.
+        /// </summary>
+        /// <param name="proof"></param>
+        /// <returns></returns>
+        private double Bewertung(SingleProof proof)
+        {
+            if (proof is Transformation tr) return Bewertung(tr);
+            else if (proof is Induction ind) return Bewertung(ind);
+            else throw new Exception("Found a proof that is neither Transformation nor Induction.");
+        }
+
+        /// <summary>
+        /// Abstract Assessment of one Induction.
+        /// </summary>
+        /// <param name="ind"></param>
+        /// <returns></returns>
+        private double Bewertung(Induction ind)
+        {
+            if (HasIndErrors(ind)) return 0.0;
+            double result = 0.0;
+            result += Bewertung(ind.indHyps);
+            foreach (InductionCase ic in ind.indCases)
+                result += Bewertung(ic);
+            return result;
+        }
+
+        /// <summary>
+        /// Checks if there are errors directly in the induction.
+        /// </summary>
+        /// <param name="ind"></param>
+        /// <returns> False if no errors. True if assessment must be 0.</returns>
+        private bool HasIndErrors(Induction ind)
+        {
+            foreach (Error err in ind.errors)
+                switch (err.errorCode)
+                {
+                    case 30: return true;
+                    case 31: return true;
+                    case 32: break; // nothing to do here: points of ic will be not added to result by ic is not in ind.indCases
+                    case 38: return true;
+                    default: throw new Exception("Found unexpected Error " + err.errorCode + " in the induction.");
+                }
+            return false;
+        }
+
+        /// <summary>
+        /// Abstract Assessment of the set of Inductionhypothesis of one Induction.
+        /// </summary>
+        /// <param name="ih"></param>
+        /// <returns></returns>
+        private double Bewertung(List<InductionHypothesis> ihs)
+        {
+            double result = 0.0;
+            foreach (InductionHypothesis ih in ihs)
+            {
+                double ihPt = 1.0;
+                foreach (Error err in ih.errors)
+                    switch (err.errorCode)
+                    {
+                        case 34: ihPt = 0.0; break;
+                        case 35: ihPt = 0.0; break;
+                        case 40: ihPt -= weights[6]; break;
+                        case 42: break;
+                        case 43: break;
+                        default: throw new Exception("Found unexpected Error " + err.errorCode + " in the inductionhypothesis.");
+                    }
+                result += Math.Max(0.0, ihPt);
+            }
+            return result / ihs.Count;
+        }
+        /// <summary>
+        /// Abstract Assessment of one Inductioncase.
+        /// </summary>
+        /// <param name="ic"></param>
+        /// <returns></returns>
+        private double Bewertung(InductionCase ic)
+        {
+            double errInhPt = 0.0;
+            bool formalErr = false;
+            int maxPt = ic.proof.transformationSteps.Count;
+            foreach (Error err in ic.errors)
+                switch (err.errorCode)
+                {
+                    case 33: formalErr = true; break;
+                    case 34: formalErr = true; break;
+                    case 35: formalErr = true; break;
+                    case 40: errInhPt = maxPt * weights[6]; break;
+                    case 41: errInhPt = maxPt * weights[7]; break;
+                    default: throw new Exception("Found unexpected Error " + err.errorCode + " in the inductioncase.");
+                }
+            double result = 0.0;
+            if (!formalErr) result += Bewertung(ic.proof) - errInhPt;
+            return Math.Max(0.0, result);
+        }
+
+
+        /// <summary>
+        /// Abstract Assessment of one Transformation.
+        /// </summary>
+        /// <param name="tr"></param>
+        /// <returns></returns>
+        private double Bewertung(Transformation tr)
+        {
+            foreach(Error err in tr.errors)
+                switch (err.errorCode)
+                {
+                    case 1: return 0.0;
+                    case 2: return 0.0;
+                    case 39: return 0.0;
+                    default: throw new Exception("Found unexpected Error " + err.errorCode + " in the transformation.");
+                }
+            double result = 0.0;
+            foreach(TransformationStep ts in tr.transformationSteps)
+            {
+                bool foundError3 = false, foundError4 = false;
+                foreach (Substitution sub in ts.substitutions)
+                    foreach (Error err in sub.errors)
+                        switch (err.errorCode)
+                        {
+                            case 3: foundError3 = true; break;
+                            case 4: foundError4 = true; break;
+                            case 13: break;
+                            default: throw new Exception("Found unexpected Error " + err.errorCode + " in a Substitution.");
+                        }
+                if (foundError3 || foundError4) continue;
+                double tsPoints = 1.0;
+                foreach(Error err in ts.errors)
+                    switch (err.errorCode)
+                    {
+                        case  5: tsPoints = 0.0; break;
+                        case  6: tsPoints = 0.0; break;
+                        case  7: tsPoints -= weights[1]; break;
+                        case  8: tsPoints -= weights[2]; break;
+                        case  9: tsPoints -= weights[3]; break;
+                        case 10: tsPoints -= weights[3]; break;
+                        case 11: tsPoints -= weights[4]; break;
+                        case 12: tsPoints -= weights[4]; break;
+                        case 21: tsPoints = 0.0; break;
+                        case 36: tsPoints = 0.0; break;
+                        case 37: tsPoints = 0.0; break;
+                        default: throw new Exception("Found unexpected Error " + err.errorCode + " in a transformationStep.");
+                    }               
+                result += Math.Max(0.0,tsPoints);
+            }
+            return result;
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Bewertung/IAssessmentResult.cs b/BaumtransformationBewerter/Bewertung/IAssessmentResult.cs
new file mode 100644
index 0000000000000000000000000000000000000000..b6dfd1b9a3f57fa30c8923c9544088d45605c7a6
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/IAssessmentResult.cs
@@ -0,0 +1,12 @@
+using System;
+using System.Collections.Generic;
+using System.Text;
+
+namespace Bewertung
+{
+    public interface IAssessmentResult
+    {
+        public int MaxPt();
+        public double Assessment();
+    }
+}
diff --git a/BaumtransformationBewerter/Bewertung/IBewerter.cs b/BaumtransformationBewerter/Bewertung/IBewerter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..c5b38aff5edd53c0128c37ad1f76be26ad510e17
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/IBewerter.cs
@@ -0,0 +1,28 @@
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using Eingabeverwaltung.Metamodell;
+
+namespace Bewertung
+{
+    /// <summary>
+    /// The Interface for every assessment variant of Proofs with Lemmata.
+    /// </summary>
+    interface IBewerter
+    {
+        /// <summary>
+        /// runs the assessment
+        /// </summary>
+        public void Bewerte();
+        /// <summary>
+        /// Must use Bewerte() before using this.
+        /// </summary>
+        /// <returns> Returns the result of the assesment: Assessment for each single task.</returns>
+        public ImmutableList<IAssessmentResult> GetBewertung();
+        /// <summary>
+        /// It should be used before outputting the result of the assessment.
+        /// </summary>
+        /// <returns> Returns the Rounding value for the assessment.</returns>
+        public int GetRound();
+    }
+}
diff --git a/BaumtransformationBewerter/Bewertung/InductionPartAssessment.cs b/BaumtransformationBewerter/Bewertung/InductionPartAssessment.cs
new file mode 100644
index 0000000000000000000000000000000000000000..c0e471dc92b0d30ae3442a384bf230ba0ac01926
--- /dev/null
+++ b/BaumtransformationBewerter/Bewertung/InductionPartAssessment.cs
@@ -0,0 +1,36 @@
+namespace Bewertung
+{
+    public class InductionPartAssessment
+    {
+        private double assessment;
+        private bool readOnly;
+        internal readonly int maxPt;
+        internal readonly string partID;
+
+        public InductionPartAssessment(int maxPt, string partID) 
+        {
+            this.maxPt = maxPt;
+            this.partID = partID;
+            assessment = 0.0;
+            readOnly = false;
+        }
+
+        /// <summary>
+        /// copys ipa and makes the assessment of the copy readonly
+        /// </summary>
+        /// <param name="ipa"></param>
+        public InductionPartAssessment(InductionPartAssessment ipa)
+        {
+            assessment = ipa.assessment;
+            maxPt = ipa.maxPt;
+            partID = ipa.partID;
+            readOnly = true;
+        }
+
+        internal double Assessment
+        {
+            get { return assessment; }
+            set { if (!readOnly) assessment = value; else throw new System.Exception("It was tried to change the readOnly assessment."); }
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/AbstactEingabeverwalter.cs b/BaumtransformationBewerter/Eingabeverwaltung/AbstactEingabeverwalter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..229fac90dffa15dddab1953d6a76ad7d4ec14d34
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/AbstactEingabeverwalter.cs
@@ -0,0 +1,19 @@
+using Eingabeverwaltung.Metamodell;
+
+namespace Eingabeverwaltung
+{
+
+    public abstract class AbstactEingabeverwalter
+    {
+        protected Container inputContainer;
+
+        public AbstactEingabeverwalter()
+        {
+            inputContainer = null;
+        }
+
+        public abstract void verwalteEingabe();
+
+        public Container GetContainer() => inputContainer;
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Eingabeverwalter.cs b/BaumtransformationBewerter/Eingabeverwaltung/Eingabeverwalter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..d0da5beb3957d84cd55d6d8d615a613f20eae542
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Eingabeverwalter.cs
@@ -0,0 +1,231 @@
+using Eingabeverwaltung.Metamodell;
+using System.IO;
+using System;
+using Eingabeverwaltung.Parser;
+using System.Collections.Immutable;
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung
+{
+    public class Eingabeverwalter : AbstactEingabeverwalter
+    {
+        public Eingabeverwalter() : base() { }
+
+        /// <summary>
+        /// This Method manages the input without pre-inputed paths.
+        /// </summary>
+        public override void verwalteEingabe()
+        {
+            if (inputContainer == null) { initialEingabe(); return; }
+            eingabe();
+        }
+
+        /// <summary>
+        /// This Method manages the input, with pre-inputed paths.
+        /// </summary>
+        /// <param name="ADTPath"></param>
+        /// <param name="TaskPath"></param>
+        /// <param name="ProofPath"></param>
+        public void verwalteEingabe(string ADTPath, string TaskPath, string ProofPath)
+        {
+            try
+            {
+                ADT_Eingabe(ADTPath);
+                Task_Eingabe(TaskPath);
+                Proof_Eingabe(ProofPath);
+            }
+            catch (FileNotFoundException f)
+            {
+                Console.WriteLine(f.Message);
+                verwalteEingabe();
+            }
+            catch (DirectoryNotFoundException d)
+            {
+                Console.WriteLine(d.Message);
+                verwalteEingabe();
+            }
+            catch (ArgumentException a)
+            {
+                Console.WriteLine(a.Message);
+                verwalteEingabe();
+            }
+        }
+
+        /// <summary>
+        /// This Method manages the input if it is not the initial-input.
+        /// </summary>
+        private void eingabe()
+        {
+            ImmutableDictionary<string, Action> eingabe = new Dictionary<string, Action>
+            {
+                ["ADT"] = ADT_Eingabe,
+                ["Task"] = Task_Eingabe,
+                ["Proof"] = Proof_Eingabe,
+                ["exit"] = Exit_Eingabe,
+                ["printContainer"] = printContainer,
+                ["showContainer"] = showContainer
+            }.ToImmutableDictionary();
+            string ausgabe = "Was möchten Sie eingeben? ";
+            foreach (string input in eingabe.Keys)
+                ausgabe += " " + input + " /";
+            ausgabe = ausgabe.Remove(ausgabe.Length - 2);
+            Console.WriteLine(ausgabe);
+            string eingabeArt = Console.ReadLine();
+            try {
+                eingabe[eingabeArt](); 
+            }
+            catch (KeyNotFoundException e) { Console.WriteLine(e.Message); this.eingabe(); }
+            catch (FileNotFoundException e)
+            {
+                Console.WriteLine(e.Message);
+                verwalteEingabe();
+            }
+            catch (DirectoryNotFoundException e)
+            {
+                Console.WriteLine(e.Message);
+                verwalteEingabe();
+            }
+        }
+
+        /// <summary>
+        /// This Method manages the initial-input.
+        /// </summary>
+        private void initialEingabe()
+        {
+            try
+            {
+                ADT_Eingabe();
+                Task_Eingabe();
+                Proof_Eingabe();
+            }
+            catch (FileNotFoundException f)
+            {
+                Console.WriteLine(f.Message);
+                verwalteEingabe();
+            }
+            catch (DirectoryNotFoundException d)
+            {
+                Console.WriteLine(d.Message);
+                verwalteEingabe();
+            }
+            catch (ArgumentException a)
+            {
+                Console.WriteLine(a.Message);
+                verwalteEingabe();
+            }
+        }
+        public void Eingabe_Interface(string action, string path)
+        {
+            ImmutableDictionary<string, Action<string>> eingabe = new Dictionary<string, Action<string>>
+            {
+                ["ADT"] = ADT_Eingabe,
+                ["Task"] = Task_Eingabe,
+                ["Proof"] = Proof_Eingabe,
+            }.ToImmutableDictionary();
+            try
+            {
+                eingabe[action](path);
+            }
+            catch (FileNotFoundException)
+            {
+                Console.WriteLine("File not found on path \"" + path + "\".");
+            }
+            catch (DirectoryNotFoundException)
+            {
+                Console.WriteLine("Directory not found on path \"" + path + "\".");
+            }
+        }
+
+        private void ADT_Eingabe() => ADT_Eingabe("");
+        private void ADT_Eingabe(string path)
+        {
+            if (path == "")
+            {
+                Console.Write("Pfad zum ADT: ");
+                path = Console.ReadLine();
+            }
+            string input = File.ReadAllText(path);
+            try
+            {
+                ADT adt = ADT_Antlr.parse(input);
+                inputContainer = new Container();
+                inputContainer.ADT = adt;
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the ADT at path \"" + path + "\"!");
+                Console.WriteLine(e.Message + "\n" + e.StackTrace);
+                verwalteEingabe();
+            }
+        }
+
+        private void Task_Eingabe() => Task_Eingabe("");
+        private void Task_Eingabe(string path) 
+        {
+            if (path == "")
+            {
+                Console.Write("Pfad zur Aufgabenstellung: ");
+                path = Console.ReadLine();
+            }
+            string input = File.ReadAllText(path);
+            try
+            {
+                Task_Antlr.parse(input,inputContainer);
+                inputContainer.Proof = null;
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the Task at path \"" + path + "\"!");
+                Console.WriteLine(e.Message + "\n" + e.StackTrace);
+                verwalteEingabe();
+            }
+        }
+
+        private void Proof_Eingabe() => Proof_Eingabe("");
+        private void Proof_Eingabe(string path) 
+        {
+            if (path == "")
+            {
+                Console.Write("Pfad zum Beweis: ");
+                path = Console.ReadLine();
+            }
+            string input = File.ReadAllText(path);
+            try
+            {
+                Proof_Antlr.parse(input, inputContainer);
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the Proof at path \"" + path + "\"!");
+                Console.WriteLine(e.Message + "\n" + e.StackTrace);
+                verwalteEingabe();
+            }
+        }
+        /// <summary>
+        /// Does nothing in order to let the Eingabe exit.
+        /// </summary>
+        private void Exit_Eingabe() { }
+
+        /// <summary>
+        /// Prints Container with its metadata
+        /// </summary>
+        private void printContainer()
+        {
+            string print = "";
+            try { print = inputContainer.ToString(true); }
+            catch (NullReferenceException) { }
+            Console.WriteLine(print);
+        }
+
+        /// <summary>
+        /// Prints Container without metadata
+        /// </summary>
+        private void showContainer()
+        {
+            string print = "";
+            try { print = inputContainer.ToString(false); }
+            catch (NullReferenceException) { }
+            Console.WriteLine(print);
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/ADT.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/ADT.cs
new file mode 100644
index 0000000000000000000000000000000000000000..87299d4792ecc6321e621dcc993268897f1a2276
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/ADT.cs
@@ -0,0 +1,41 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class ADT
+	{
+		public readonly List<Sort>      sorts;
+		public readonly List<Operation> operations;
+		public readonly List<Axiom>     axioms;
+
+		public ADT(List<Sort> sorts, List<Operation> operations, List<Axiom> axioms)
+		{
+			this.sorts      = sorts;
+			this.operations = operations;
+			this.axioms     = axioms;
+		}
+
+		public string ToString(bool showMetadata)
+        {
+            string res = "ADT:\r\n";
+            res += "Sorten: ";
+            foreach (Sort sort in sorts)
+                res += sort.name + ", ";
+            res = res.Remove(res.Length - 2);
+            res += "\n";
+            res += "Operationen:\n";
+            foreach (Operation op in operations) res += op.ToString(showMetadata);
+            if (axioms.Count != 0)
+            {
+                res += "Variablen: ";
+                foreach (Variable v in axioms[0].eq.variables)
+                    res += v.ToString();
+                res += "\n";
+                res += "Axioms:\n";
+                foreach (Axiom ax in axioms)
+                    res += "   " + ax.name + " : " + ax.eq.leftTree.ToString() + " = " + ax.eq.rightTree.ToString() + "\n";
+            }
+            return res;
+        }
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Axiom.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Axiom.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ec0591e533841677e34fd73b5aa5cb35d8191024
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Axiom.cs
@@ -0,0 +1,8 @@
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Axiom : Rule
+	{
+		public Axiom(string name, Equation equation) :base(name,equation) { }
+		public override bool IsFixed(Variable variable) => false;
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BasicConstructor.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BasicConstructor.cs
new file mode 100644
index 0000000000000000000000000000000000000000..9cc5a6bb6ce7f3b8c883b930329c6b75dd489e59
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BasicConstructor.cs
@@ -0,0 +1,16 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class BasicConstructor : Constructor
+	{
+		public BasicConstructor(string name, List<Sort> sorts) : base(name,sorts) { }
+
+        public override string ToString(bool showMetadata)
+        {
+            string res = base.ToString(showMetadata);
+            if (showMetadata) res += "     basic Constructor\n";
+            return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BuildingConstructor.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BuildingConstructor.cs
new file mode 100644
index 0000000000000000000000000000000000000000..fa69f796fda4faed0c1ec5de0b80ba3dd65c5af6
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/BuildingConstructor.cs
@@ -0,0 +1,31 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class BuildingConstructor : Constructor
+	{
+		public readonly List<int> buildingParameters;
+		public BuildingConstructor(string name,List<Sort> sorts) : base(name,sorts)
+		{
+			buildingParameters = new List<int>();
+			for(int i=0; i< sorts.Count()-1; i++)
+				if(sorts[i] == sorts.Last()) buildingParameters.Add(i);
+			if (buildingParameters.Count == 0) throw new Exception("The constructor "+name+" has been falsely considered as building constructor.");
+		}
+
+		public override string ToString(bool showMetadata)
+		{
+			string res = base.ToString(showMetadata);
+			if (showMetadata)
+			{
+				res += "     bulding Constructor on parameter ";
+				foreach (int i in buildingParameters)
+					res += i + " ";
+				res += "\n";
+			}
+			return res;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Constructor.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Constructor.cs
new file mode 100644
index 0000000000000000000000000000000000000000..978ffb6a910ae172e204a412778d7e5d1ab14d13
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Constructor.cs
@@ -0,0 +1,9 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public abstract class Constructor : Operation
+	{
+		public Constructor(string name, List<Sort> sorts) : base(name,sorts) { }
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Operation.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Operation.cs
new file mode 100644
index 0000000000000000000000000000000000000000..faea2eb7907c63f19794719edb4bb518d9cbe203
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Operation.cs
@@ -0,0 +1,27 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Operation
+	{
+		public readonly string name;
+		public readonly List<Sort> sorts;
+
+		public Operation(string name, List<Sort> sorts)
+		{
+			this.name = name;
+			this.sorts = sorts;
+		}
+
+		public virtual string ToString(bool _)
+        {
+			string res = "";
+			res += "   " + name + ": ";
+			foreach (Sort sort in sorts)
+				res += sort.name + " -> ";
+			res = res.Remove(res.Length - 3);
+			res += "\n";
+			return res;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Sort.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Sort.cs
new file mode 100644
index 0000000000000000000000000000000000000000..e002dee67594e87caa49f28edc9d85ebcc10d657
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Sort.cs
@@ -0,0 +1,36 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Sort
+	{
+		public readonly string name;
+		private List<BasicConstructor>    basicConstructors;
+		private List<BuildingConstructor> buildingConstructors;
+
+		public Sort(string name)
+		{
+			this.name = name;
+			basicConstructors = new List<BasicConstructor>();
+			buildingConstructors = new List<BuildingConstructor>();
+		}
+
+		public void SetConstructor(Constructor constructor)
+        {
+			if (GetConstructors().Contains(constructor)) 
+				throw new System.Exception("Tried to add the same constructor "+constructor.name+" twice to the constructors of its sort.");
+			if      (constructor is BasicConstructor    basicC)	basicConstructors.Add(basicC);
+			else if (constructor is BuildingConstructor buildC)	buildingConstructors.Add(buildC);
+			else throw new System.Exception("Found a constructor "+constructor.name+" that is either basic nor building!");
+        }
+
+		public List<BasicConstructor> GetBasicConstructors() => new List<BasicConstructor>(basicConstructors);
+		public List<BuildingConstructor> GetBuildingConstructors() => new List<BuildingConstructor>(buildingConstructors);
+		public List<Constructor> GetConstructors() 
+		{
+			List<Constructor> result = new List<Constructor>(basicConstructors);
+			result.AddRange(buildingConstructors);
+			return result; 
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Variable.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Variable.cs
new file mode 100644
index 0000000000000000000000000000000000000000..281afd7c5f94149b7dc6a8ca46a8d7b6e95ad468
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ADT/Variable.cs
@@ -0,0 +1,11 @@
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Variable : Sorthaver
+	{
+		public Variable(string name, Sort sort) : base(name, sort) { }
+
+		public override string ToString() => Name() + " : " + sort.name + " ";
+
+		public string Name() => name;// + "(" + GetHashCode() + ")";
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Induction.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Induction.cs
new file mode 100644
index 0000000000000000000000000000000000000000..895de887640983c085656594abe2447fa456c35a
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Induction.cs
@@ -0,0 +1,53 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Induction : SingleProof
+	{
+		public readonly Equation       eq;
+		public readonly List<Variable> fixedVars;
+		public readonly Variable            indVar;
+		public readonly List<InductionCase> indCases;
+		public readonly List<InductionHypothesis> indHyps;
+		public readonly List<Error> errors;
+		public Induction(Equation eq, List<Variable> fixedVars, Variable indVar, List<InductionCase> indCases, List<InductionHypothesis> indHyps)
+		{
+			this.eq = eq;
+			this.fixedVars = fixedVars;
+			this.indVar = indVar;
+			this.indCases = indCases;
+			this.indHyps = indHyps;
+			errors = new List<Error>();
+		}
+
+		public List<InductionCase> GetIndBasises()
+        {
+			List<InductionCase> result = new List<InductionCase>();
+			foreach (InductionCase ic in indCases)
+				if (ic.type == "IA")
+					result.Add(ic);
+			return result;
+		}
+
+		public List<InductionCase> GetIndSteps()
+		{
+			List<InductionCase> result = new List<InductionCase>();
+			foreach (InductionCase ic in indCases)
+				if (ic.type == "IS")
+					result.Add(ic);
+			return result;
+		}
+
+		public override string ToString(bool showMetadata)
+        {
+			string res = "Induction " + (indVar != null ? indVar.name : (showMetadata ? "IndVar not found because of error 22" : "")) + ":\r\n";
+			foreach (InductionCase indBasis in GetIndBasises())
+				res += indBasis.ToString(showMetadata) +"\r\n";
+			foreach(InductionHypothesis ih in indHyps)
+				res += ih.ToString();
+			foreach (InductionCase indStep in GetIndSteps())
+				res += indStep.ToString(showMetadata) +"\r\n";
+			return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionCase.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionCase.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7b184662824b173de713cca726652341081cab49
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionCase.cs
@@ -0,0 +1,47 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class InductionCase : Ueberpruefung.Element
+	{
+		public readonly string type;
+		public readonly Equation eq;
+		public readonly List<Variable> fixedVars;
+		public readonly Transformation proof;
+		public readonly List<Error> errors;
+		private Constructor constructor;
+		private List<Variable> buildingParameterVariables;
+
+		public InductionCase(string type, Equation eq, List<Variable> fixedVars, Transformation proof)
+		{
+			this.type = type;
+			this.fixedVars = fixedVars;
+			this.eq = eq;
+			this.proof = proof;
+			errors = new List<Error>();
+			constructor = null;
+			buildingParameterVariables = null;
+		}
+
+		public Constructor Constructor
+		{
+			get { return constructor; }
+			set { if (constructor == null) constructor = value; else throw new System.Exception("Tried to reset constructor in InductionCase!"); }
+		}
+		public List<Variable> BuildingParameterVariables
+		{
+			get { return buildingParameterVariables; }
+			set { if (buildingParameterVariables == null) buildingParameterVariables = value; 
+				  else throw new System.Exception("Tried to reset buildingParameterVariables in InductionCase!"); 
+			}
+		}
+
+		public string ToString(bool showMetadata)
+        {
+			string res = new TaskLemma(type, eq, fixedVars).ToString();
+			if (showMetadata && constructor != null) res += "case: " + constructor.name + "\r\n";
+			res += proof.ToString(showMetadata);
+			return res;
+		}
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionHypothesis.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionHypothesis.cs
new file mode 100644
index 0000000000000000000000000000000000000000..101b8c32813c233c33ae126fb1cfea27e60ad69b
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/InductionHypothesis.cs
@@ -0,0 +1,25 @@
+using System;
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class InductionHypothesis : Rule
+	{
+		public readonly List<Variable> fixedVars;
+		private Nullable<bool> isProved;
+		public readonly List<Error>    errors;
+		public InductionHypothesis(string name, Equation eq, List<Variable> fixedVars) : base(name,eq)
+		{
+			this.fixedVars = fixedVars;
+			errors = new List<Error>();
+		}
+
+		public Nullable<bool> IsProved
+		{
+			get { return isProved; }
+			set { if (isProved == null) isProved = value; else throw new Exception("Tried to change existing isProved in Inductionhypothesis!"); }
+		}
+
+		public override bool IsFixed(Variable variable) => fixedVars.Contains(variable);
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Lemma.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Lemma.cs
new file mode 100644
index 0000000000000000000000000000000000000000..14ecc419c5ce6304c8f0abbeb6beb9f6a4fafa15
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Lemma.cs
@@ -0,0 +1,84 @@
+using System;
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Lemma : Rule
+	{
+		public readonly List<Variable> fixedVars;
+		public readonly SingleProof proof;
+		private Nullable<bool> isProved;
+		public readonly List<Lemma> cyclicDependencies;
+		private SingleTask ownTask;
+		public readonly List<TaskAssignment> usefulFor;
+		public readonly List<Error> errors;
+
+		public Lemma(string name, Equation equation, List<Variable> fixedVars, SingleProof proof) : base(name,equation)
+		{
+			this.fixedVars = fixedVars;
+			this.proof = proof;
+			cyclicDependencies = null;
+			errors = new List<Error>();
+			isProved = null;
+			cyclicDependencies = new List<Lemma>();
+			ownTask = null;
+			usefulFor = new List<TaskAssignment>();
+		}
+
+		public Nullable<bool> IsProved
+        {
+			get { return isProved; }
+            set { if (isProved == null) isProved = value; else throw new Exception("Tried to change existing isProved in Lemma!"); }
+        }
+
+		public SingleTask OwnTask
+        {
+			get { return ownTask; }
+			set { if (ownTask == null) ownTask = value; else throw new Exception("Tried to change existing ownTask in Lemma!"); }
+		}
+
+		/// <summary>
+		/// Returns TaskAssignment ta from usefulFor with ta.task == task.
+		/// Else returns null.
+		/// </summary>
+		/// <param name="task"></param>
+		/// <returns></returns>
+		public TaskAssignment GetTaskAssignment(SingleTask task) 
+		{
+			foreach (TaskAssignment ta in usefulFor)
+				if (ta.task == task) return ta;
+			return null;
+		}
+
+		public override bool IsFixed(Variable variable) => fixedVars.Contains(variable);
+
+		public string ToString(bool showMetadata)
+        {
+			string res = "lemma " + base.ToString();
+			try
+			{
+				if (showMetadata)
+				{
+					if (isProved != null) res += "isProved: " + ((bool)isProved) + "\r\n";
+					if (cyclicDependencies.Count != 0)
+					{
+						res += "cylic Dependencies: ";
+						foreach (Lemma lemma in cyclicDependencies) res += lemma.name + " ";
+						res += "\r\n";
+					}
+					if (ownTask != null) res += "ownTask: " + ownTask.name + "\r\n";
+					if (usefulFor.Count != 0)
+					{
+						res += "useful For: ";
+						foreach (TaskAssignment ta in usefulFor)
+							res += ta.ToString() + "  ";
+						res += "\r\n";
+					}
+				}
+				res += proof.ToString(showMetadata);
+			}
+			catch (NullReferenceException) { res += "NullReferenceException occured while Lemma.ToString."; }
+			return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Proof.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Proof.cs
new file mode 100644
index 0000000000000000000000000000000000000000..badda9ce4ff20e125980a94b557dbcdaa8b69ed2
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Proof.cs
@@ -0,0 +1,27 @@
+using System;
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Proof
+	{
+		public readonly SingleProof proof;
+		public readonly List<Lemma> lemmata;
+		public Proof(SingleProof proof, List<Lemma> lemmata)
+		{
+			this.proof = proof;
+			this.lemmata = lemmata;
+		}
+        public string ToString(bool showMetadata)
+        {
+			string res = "Proof:\r\n\r\n";
+			try
+			{
+				res += proof.ToString(showMetadata) +"\r\n\r\n";
+				foreach (Lemma lemma in lemmata) res += lemma.ToString(showMetadata) +"\r\n\r\n";
+			}
+			catch (NullReferenceException) { res += "NullReferenceException occured while Proof.ToString."; }
+			return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/SingleProof.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/SingleProof.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ef1c6dfdca092362a728ffa84b9ee3a7ce38b89e
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/SingleProof.cs
@@ -0,0 +1,9 @@
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+    public abstract class SingleProof : Element 
+    {
+        public abstract string ToString(bool showMetadata);
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Substitution.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Substitution.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7c1ddc2b91c7f7e803198fa8ec0be33a60f3683b
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Substitution.cs
@@ -0,0 +1,50 @@
+using System;
+using System.Collections.Generic;
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Substitution : Element
+	{
+		public readonly string      variableName;
+		public readonly Variable    variable;
+		public readonly Tree        tree;
+		public readonly List<Error> errors;
+
+		/// <summary>
+		/// This Constructor throws Exception if variable is null.
+		/// </summary>
+		/// <param name="variable"></param>
+		/// <param name="tree"></param>
+		public Substitution(Variable variable, Tree tree)
+		{
+			if (variable == null) throw new Exception("Error: It was tried to build a Substitution with a null-variable and without variableName!");
+			variableName = variable.name;
+			this.variable = variable;
+			this.tree = tree;
+			errors = new List<Error>();
+		}
+
+		/// <summary>
+		/// This Constructor allows the variable to be null. It means, that it don't exists in the variables of the ADT.
+		/// </summary>
+		/// <param name="variableName"></param>
+		/// <param name="variable"></param>
+		/// <param name="tree"></param>
+		public Substitution(string variableName, Variable variable, Tree tree)
+		{
+			this.variableName = variableName;
+			this.variable = variable;
+			this.tree = tree;
+			errors = new List<Error>();
+		}
+
+		public override string ToString()
+		{
+			string res = tree.ToString() + " / ";
+			if (variable != null) res += variable.Name() + " "; else res += "n.d.(" + variableName + ") ";
+			return res;
+		}
+
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TaskAssignment.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TaskAssignment.cs
new file mode 100644
index 0000000000000000000000000000000000000000..08577bb01cdf767ed30cc3bb6d3e50ec6b60fee0
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TaskAssignment.cs
@@ -0,0 +1,36 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+    public class TaskAssignment
+    {
+        public readonly SingleTask task;
+        private List<Constructor> indCases;
+
+        public TaskAssignment(SingleTask task)
+        {
+            this.task = task;
+            indCases = new List<Constructor>();
+        }
+
+        public List<Constructor> IndCases
+        {
+            get { return new List<Constructor>(indCases); }
+        }
+
+        public void AddIndCase(Constructor c) { if (!indCases.Contains(c)) indCases.Add(c); }
+
+        public override string ToString()
+        {
+            string res = task.name;
+            if (indCases.Count > 0)
+            {
+                res += " ( ";
+                foreach (Constructor indC in indCases)
+                    res += indC.name + " ";
+                res += ")";
+            }
+            return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Transformation.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Transformation.cs
new file mode 100644
index 0000000000000000000000000000000000000000..5fe663f197e3caef284ac2630270c102e6389418
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/Transformation.cs
@@ -0,0 +1,28 @@
+using System.Collections.Generic;
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Transformation : SingleProof
+	{
+		public readonly Tree                     startTree;
+		public readonly List<TransformationStep> transformationSteps;
+		public readonly List<Error>              errors;
+
+		public Transformation(Tree startTree, List<TransformationStep> transformationSteps)
+		{
+			this.startTree           = startTree;
+			this.transformationSteps = transformationSteps;
+			errors = new List<Error>();
+		}
+
+		public override string ToString(bool showMetadata) => ToString();
+        public override string ToString()
+        {
+            string res = "Transformation:\r\n";
+            res += "proof " + startTree.ToString() + "\n";
+            foreach (TransformationStep ts in transformationSteps) res += ts.ToString(); 
+            return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TransformationStep.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TransformationStep.cs
new file mode 100644
index 0000000000000000000000000000000000000000..6aebfa05c9447353d05154e1537985b579971039
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Beweis/TransformationStep.cs
@@ -0,0 +1,57 @@
+using System.Collections.Generic;
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class TransformationStep : Element
+	{
+		public readonly Tree startTree;
+		public readonly Rule rule;
+		public readonly char direction;
+		public readonly Tree termPart;
+		public readonly Tree resultTree;
+		public readonly List<Substitution> substitutions;
+		public readonly List<Error>        errors;
+
+		public TransformationStep(Tree startTree, Rule rule, char direction, Tree termPart, Tree resultTree, List<Substitution> substitutions)
+		{
+			this.startTree = startTree;
+			this.rule = rule;
+			this.direction = direction;
+			this.termPart = termPart;
+			this.resultTree = resultTree;
+			this.substitutions = substitutions;
+			errors = new List<Error>();
+		}
+
+		public Tree ruleStartTree()
+		{
+			switch (direction)
+			{
+				case '>': return rule.eq.leftTree;
+				case '<': return rule.eq.rightTree;
+				default: throw new System.Exception("A TransformationStep has an undefined direction: " + direction);
+			}
+		}
+		public Tree ruleEndTree()
+		{
+			switch (direction)
+			{
+				case '>': return rule.eq.rightTree;
+				case '<': return rule.eq.leftTree;
+				default: throw new System.Exception("A TransformationStep has an undefined direction: " + direction);
+			}
+		}
+
+        public override string ToString()
+        {
+			string res = "   " + "{ " + rule.name + " , " + direction + " , " + termPart + " , ";
+			res += "[ ";
+			foreach (Substitution sub in substitutions)	res += sub.ToString();
+			res += "]";
+			res += " }\n\r";
+			res += "= " + resultTree.ToString();
+			return res;
+		}
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ComposedTree.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ComposedTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..8f1addb60ec08904a4f625de7f1505102570bb3c
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/ComposedTree.cs
@@ -0,0 +1,89 @@
+using System.Collections.Generic;
+using System.Linq;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class ComposedTree : Tree
+	{
+		/// <summary>
+		/// OperationName is the name of the operation.
+		/// </summary>
+		public readonly Operation operation;
+		public readonly List<Tree> children;		
+
+		/// <summary>
+		/// Creates a ComposedTree. Base gets operation.name as name and operation.sorts.Last() as sort.
+		/// </summary>
+		/// <param name="operation"></param>
+		/// <param name="children"></param>
+		public ComposedTree(Operation operation, List<Tree> children) : base(operation.name, operation.sorts.Last())
+		{
+			this.operation = operation;
+			this.children  = children;
+		}
+		        
+		public override string ToString()
+        {
+			string res = "";
+			if (operation != null) res += operation.name;
+			if (children.Count > 0) res += "( ";
+			bool wasInLoop = false;
+			foreach (Tree child in children)
+			{
+				res += child.ToString() + ",";
+				wasInLoop = true;
+			}
+			if (wasInLoop) res = res.Remove(res.Length-1);
+			if (children.Count > 0) res += " )";
+			return res;
+        }
+
+		public override List<Tree> findSubTree(Tree tree)
+		{
+			List<Tree> result = new List<Tree>();
+			if (Equals(tree))
+            {
+				result.Add(this);
+				return result;
+            }
+			foreach (Tree child in children)
+            {
+				List<Tree> found = child.findSubTree(tree);
+				if (found.Count > 0) result.AddRange(found);
+			}
+			return result;
+		}
+
+        public override List<Variable> findUsedVars()
+        {
+			List<Variable> result = new List<Variable>();
+			foreach(Tree child in children)
+				result.AddRange(child.findUsedVars());
+			return result;
+        }
+
+        public override bool Equals(Tree tree)
+        {
+			bool result = false;
+			ComposedTree cTree = tree as ComposedTree;
+			if (cTree != null && cTree.operation == operation)
+			{
+				result = true;
+				for (int i = 0; i < children.Count; i++)
+				{
+					result = result && children[i].Equals(cTree.children[i]);
+				}
+			}
+			return result;
+		}
+
+        public override Tree Copy()
+        {
+			List<Tree> copiedChildren = new List<Tree>();
+			// Not a foreach because the order is important and its safer when order is defined explicitly.
+			for (int i = 0; i < children.Count; i++) 
+				copiedChildren.Add(children[i].Copy());
+			return new ComposedTree(operation, copiedChildren);
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Container.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Container.cs
new file mode 100644
index 0000000000000000000000000000000000000000..b2cf076074b48d935def059718ef020db648c2e7
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Container.cs
@@ -0,0 +1,43 @@
+using System;
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Container : Element
+	{
+		private ADT   adt;
+		private Task  task;
+		private Proof proof;
+
+		public Container() {}
+
+		public ADT ADT
+		{
+			get { return adt ; }
+			set { adt = value; }
+		}
+		public Task Task
+        {
+			get { return task ; }
+			set { task = value; }
+        }
+		public Proof Proof
+        {
+			get { return proof ; }
+			set { proof = value; }
+        }
+
+		public string ToString(bool showMetadata)
+        {
+			string res = "";
+			try
+			{
+				if (adt != null) res += adt.ToString(showMetadata) + "\r\n\r\n"; else { res += "No ADT in Container.\r\n"; return res; }
+				if (task != null) res += task.ToString(showMetadata) + "\r\n\r\n"; else { res += "No Task in Container.\r\n"; return res; }
+				if (proof != null) res += proof.ToString(showMetadata); else { if (showMetadata) res += "No Proof in Container.\r\n"; return res; }
+			}
+			catch (NullReferenceException) { res += "NullReferenceException occured while Container.ToString()."; }
+			return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Equation.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Equation.cs
new file mode 100644
index 0000000000000000000000000000000000000000..232cefcbaebaa9806a203b13555430f33c603b5a
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Equation.cs
@@ -0,0 +1,17 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Equation
+	{
+		public readonly Tree leftTree;
+		public readonly Tree rightTree;
+		public readonly List<Variable> variables;
+		public Equation(Tree leftTree, Tree rightTree, List<Variable> variables)
+		{
+			this.leftTree = leftTree;
+			this.rightTree = rightTree;
+			this.variables = variables;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Error.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Error.cs
new file mode 100644
index 0000000000000000000000000000000000000000..0290985be87c63790093d7ee846e20decd52b2ec
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Error.cs
@@ -0,0 +1,31 @@
+using System;
+
+public class Error
+{
+	public readonly int errorCode;
+	private string output;
+
+	public Error(int errorCode)
+	{
+		this.errorCode = errorCode;
+        output = null;
+	}
+    public Error(int errorCode, string output)
+    {
+        this.errorCode = errorCode;
+        this.output = output;
+    }
+
+    public string Output
+    {
+        get
+        {
+            return output;
+        }
+        set
+        {
+            if (output == null) output = value;
+            else throw new Exception("ERROR: It was tried to change Error.output while it was set!");
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Rule.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Rule.cs
new file mode 100644
index 0000000000000000000000000000000000000000..010f61455ed4ea59aac9e78ca4f1a8965bde0139
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Rule.cs
@@ -0,0 +1,58 @@
+using System.Collections.Generic;
+using Ueberpruefung;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public abstract class Rule : Element
+	{
+		public readonly string name;
+		public readonly Equation eq;
+		public Rule(string name, Equation equation) 
+		{
+			this.name = name;
+			eq = equation;
+		}
+
+		/// <summary>
+		/// @pre: variable must be in eq.variables
+		/// @post: result is given: if variable is fixed
+		/// </summary>
+		/// <param name="variable"></param>
+		/// <returns> true if variable is fixed, else false </returns>
+		public abstract bool IsFixed(Variable variable);
+
+		/// <summary>
+		/// For every variable in equation: Rule.subtype.IsFixed(variable).
+		/// </summary>
+		/// <returns>List of all variables of equation, for which subtype says its fixed.</returns>
+		public List<Variable> GetFixedVars()
+        {
+			List<Variable> fixedVars = new List<Variable>();
+			foreach (Variable var in eq.variables)
+				if (IsFixed(var)) fixedVars.Add(var);
+			return fixedVars;
+		}
+
+        public override string ToString()
+        {
+			string res = name + ": ";
+			List<Variable> fixedVars = GetFixedVars();
+			if (fixedVars.Count > 0) res += "fixed ";
+			foreach (Variable var in fixedVars)
+				res += var.ToString();
+			if (fixedVars.Count > 0) res += ": ";
+			if (eq.variables.Count - fixedVars.Count > 0)
+			{
+				res += "forall ";
+				List<Variable> allQVars = new List<Variable>(eq.variables);
+				foreach (Variable var in fixedVars)
+					allQVars.Remove(var);
+				foreach (Variable var in allQVars)
+					res += var.ToString();
+				res += ": ";
+			}
+			res += eq.leftTree.ToString() + " = " + eq.rightTree.ToString() + "\r\n";
+			return res;
+		}
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Sorthaver.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Sorthaver.cs
new file mode 100644
index 0000000000000000000000000000000000000000..a0f19007a4afa7e55e6bf78c068173be4f1e6ee1
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Sorthaver.cs
@@ -0,0 +1,14 @@
+namespace Eingabeverwaltung.Metamodell
+{
+	public abstract class Sorthaver
+	{
+		public readonly string name;
+		public readonly Sort sort;
+
+		public Sorthaver(string name, Sort sort)
+		{
+			this.name = name;
+			this.sort = sort;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/IConfig.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/IConfig.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7c2feb6e573a2746978345f5d699e751457ec92a
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/IConfig.cs
@@ -0,0 +1,7 @@
+namespace Eingabeverwaltung.Metamodell
+{
+    public interface IConfig
+    {
+        public int MaxPt();
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionCaseConfig.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionCaseConfig.cs
new file mode 100644
index 0000000000000000000000000000000000000000..a0382cfe2bb41b07d147a779dddd899a5353d51b
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionCaseConfig.cs
@@ -0,0 +1,16 @@
+namespace Eingabeverwaltung.Metamodell
+{
+    public class InductionCaseConfig
+    {
+        public readonly SingleConfig config;
+        public readonly Constructor indCase;
+
+        public InductionCaseConfig(Constructor indCase, SingleConfig config)
+        {
+            this.indCase = indCase;
+            this.config = config;
+        }
+
+        public override string ToString() => "case " + indCase.name + ": " + config.ToString();
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionConfig.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionConfig.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ca9e16e4a7c2dab01b1ca4e9654d375b69261f21
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/InductionConfig.cs
@@ -0,0 +1,49 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+    public class InductionConfig : IConfig
+    {
+        public readonly List<InductionCaseConfig> indCaseConfigs;
+        public readonly SingleConfig indHypConfig;
+
+        public InductionConfig(List<InductionCaseConfig> indCaseConfigs, SingleConfig indHypConfig)
+        {
+            this.indCaseConfigs = indCaseConfigs;
+            this.indHypConfig = indHypConfig;
+        }
+
+        public int MaxPt()
+        {
+            int res = 0;
+            foreach(InductionCaseConfig indCaseConfig in indCaseConfigs)
+            {
+                res += indCaseConfig.config.maxPt;
+            }
+            res += indHypConfig.maxPt;
+            return res;
+        }
+
+        /// <summary>
+        /// Finds and returns the config for the given constructor. Returns null if not able to find.
+        /// </summary>
+        /// <param name="c"></param>
+        /// <returns></returns>
+        public InductionCaseConfig GetIndCaseConfig(Constructor c)
+        {
+            foreach (InductionCaseConfig icC in indCaseConfigs)
+                if (icC.indCase == c) return icC;
+            return null;
+        }
+
+        public override string ToString()
+        {
+            string res = "";
+            string tab = "    ";
+            foreach (InductionCaseConfig icc in indCaseConfigs)
+                res += tab + icc.ToString();
+            res += tab + "IH: maxpt "+indHypConfig.maxPt+"\r\n";
+            return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleConfig.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleConfig.cs
new file mode 100644
index 0000000000000000000000000000000000000000..3cb32a3f596f1ba1db1fcceddf2b61d3b6ba4999
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleConfig.cs
@@ -0,0 +1,20 @@
+namespace Eingabeverwaltung.Metamodell
+{
+    public class SingleConfig : IConfig
+    {
+        public readonly int maxPt;
+        public readonly int minSteps;
+        public readonly int maxSteps;
+
+        public SingleConfig(int maxPt, int minSteps, int maxSteps)
+        {
+            this.maxPt = maxPt;
+            this.minSteps = minSteps;
+            this.maxSteps = maxSteps;
+        }
+
+        public int MaxPt() => maxPt;
+
+        public override string ToString() => "maxpt " + maxPt + " minsteps " + minSteps + " maxsteps " + maxSteps + "\r\n";
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleTask.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleTask.cs
new file mode 100644
index 0000000000000000000000000000000000000000..288c63c63c21e7c39376a0ef4c2a5f3665680247
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/SingleTask.cs
@@ -0,0 +1,29 @@
+
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+    public class SingleTask : Rule
+    {
+        public readonly List<Variable> fixedVars;
+        public readonly IConfig config;
+        public readonly Variable indVariable;
+
+        public SingleTask(string name, Equation eq, List<Variable> fixedVars, IConfig config, Variable indVariable) : base(name, eq)
+        {
+            this.fixedVars = fixedVars;
+            this.config = config;
+            this.indVariable = indVariable;
+        }
+
+        public override bool IsFixed(Variable variable) => fixedVars.Contains(variable);
+
+        public string ToString(bool showConfig)
+        {
+            string res = base.ToString();
+            if (indVariable != null) res += "  induction " + indVariable.name + "\r\n";
+            if ( showConfig ) res += "    " + config.ToString();
+            return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/Task.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/Task.cs
new file mode 100644
index 0000000000000000000000000000000000000000..69979f90fc973d32642bccb0462dc07c690ad04d
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/Task.cs
@@ -0,0 +1,31 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class Task
+	{
+		public readonly SingleTask task;
+		public readonly List<SingleTask> lemmaTasks;
+		public readonly List<TaskLemma> lemmata;
+
+		public Task(SingleTask task, List<SingleTask> lemmaTasks, List<TaskLemma> lemmata)
+        {
+			this.task = task;
+			this.lemmaTasks = lemmaTasks;
+			this.lemmata = lemmata;
+		}
+
+        public string ToString(bool showConfig)
+        {
+			string res = "Aufgabenstellung:\r\n";
+			res += task.ToString(showConfig);
+			if (lemmaTasks.Count > 0) res += "Proof Lemmata:\r\n";
+			foreach (SingleTask lemma in lemmaTasks)
+				res += lemma.ToString(showConfig);
+				if (lemmata.Count > 0) res += "Lemmata:\r\n";
+				foreach (TaskLemma lemma in lemmata)
+					res += lemma.ToString();
+			return res;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/TaskLemma.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/TaskLemma.cs
new file mode 100644
index 0000000000000000000000000000000000000000..6129541e190a58d2d8ebf51f127dab82f0aa8aa0
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Task/TaskLemma.cs
@@ -0,0 +1,15 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+    public class TaskLemma : Rule
+    {
+        public readonly List<Variable> fixedVars;
+        public TaskLemma(string name, Equation eq, List<Variable> fixedVars) : base(name, eq) 
+        {
+            this.fixedVars = fixedVars;
+        }
+        
+        public override bool IsFixed(Variable variable) => fixedVars.Contains(variable);
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Tree.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Tree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..a6b6f8ce1b99b146c591e9b5b16eb588e27f678b
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/Tree.cs
@@ -0,0 +1,19 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public abstract class Tree : Sorthaver
+	{
+		public Tree(string name, Sort sort) : base(name, sort) { }
+
+		public override abstract string ToString();
+		public abstract List<Tree> findSubTree(Tree tree);
+		public abstract List<Variable> findUsedVars(); 
+        public abstract bool Equals(Tree tree);
+		// don't use it until you know what to do with tree == null
+		//public static bool operator ==(Tree left, Tree right) =>  left.Equals(right);  
+		//public static bool operator !=(Tree left, Tree right) => !left.Equals(right);
+
+		public abstract Tree Copy();
+	}	
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/TreeVariable.cs b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/TreeVariable.cs
new file mode 100644
index 0000000000000000000000000000000000000000..0a8d399122aea195f4392b3cf80a866ff604cd0c
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Metamodell/TreeVariable.cs
@@ -0,0 +1,31 @@
+using System.Collections.Generic;
+
+namespace Eingabeverwaltung.Metamodell
+{
+	public class TreeVariable : Tree
+	{
+		public readonly Variable variable;
+
+		public TreeVariable(Variable variable) : base(variable.name, variable.sort) 
+		{
+			this.variable = variable;
+		}
+				
+		public override string ToString() => variable.Name();
+
+        public override List<Tree> findSubTree(Tree tree)
+        {
+			List<Tree> result = new List<Tree>();
+			if (tree as TreeVariable != null && ((TreeVariable)tree).variable == variable)
+			{
+				result.Add(this);
+			}
+			return result;
+        }
+		public override List<Variable> findUsedVars() => new List<Variable>() { variable };
+
+        public override bool Equals(Tree tree) => findSubTree(tree).Count > 0;
+
+        public override Tree Copy() => new TreeVariable(variable);
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Antlr.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Antlr.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ff28e49f2074c84bba50684f2cc2fc3d3b3bf5a9
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Antlr.cs
@@ -0,0 +1,28 @@
+using Eingabeverwaltung.Parser.ADT_Parser;
+using Eingabeverwaltung.Metamodell;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+
+namespace Eingabeverwaltung.Parser
+{
+	public static class ADT_Antlr
+	{
+		public static ADT parse(string ADT_input)
+        {
+			Container container = new Container();
+
+            ICharStream chars = new AntlrInputStream(ADT_input);
+			ITokenSource lexer = new ADTLexer(chars);
+			ITokenStream tokens = new CommonTokenStream(lexer);
+			ADTParser parser = new ADTParser(tokens);
+
+			parser.BuildParseTree = true;
+
+            ADTParser.AdtContext tree = parser.adt();
+			IADTListener adt_Listener = new ADT_Listener(container);
+			ParseTreeWalker.Default.Walk(adt_Listener, tree);
+
+			return container.ADT;
+        }
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Listener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Listener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..8b396da1cc79c4ce8eeb38eb8a1188714bbe052a
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Listener.cs
@@ -0,0 +1,204 @@
+using Eingabeverwaltung.Metamodell;
+using Eingabeverwaltung.Parser.ADT_Parser;
+using System;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Misc;
+using System.Collections.Generic;
+using System.Linq;
+
+namespace Eingabeverwaltung.Parser
+{
+    public class ADT_Listener : IADTListener
+    {
+        // object on which will be build
+        private Container container;
+
+        // helping objects for building
+        private List<Sort> op_sorts;
+
+        private Listener_Helper LH;
+
+        public ADT_Listener(Container container)
+        {
+            this.container = container;
+            op_sorts = null;
+
+            LH = new Listener_Helper(null, null, null, null, null, null);
+        }
+
+        public void EnterAdt([NotNull] ADTParser.AdtContext context) { }
+        public void ExitAdt([NotNull] ADTParser.AdtContext context)
+        {
+            if (LH.adt_sorts == null) throw new Exception("adt_sorts = null at ExitAdt");
+            if (LH.adt_ops == null) throw new Exception("adt_ops = null at ExitAdt");
+            if (LH.adt_axioms == null) LH.adt_axioms = new List<Axiom>();
+            if (LH.adt_sorts.Count < 1) throw new Exception("adt_sorts is empty at ExitAdt");
+            if (LH.adt_ops.Count < 1) throw new Exception("adt_ops is empty at ExitAdt");
+            container.ADT = new ADT(LH.adt_sorts, LH.adt_ops, LH.adt_axioms);
+        }
+        public void EnterName([NotNull] ADTParser.NameContext context) { }
+        public void ExitName([NotNull] ADTParser.NameContext context) { }
+
+        public void EnterSorts([NotNull] ADTParser.SortsContext context) => LH.adt_sorts = new List<Sort>();
+        public void ExitSorts([NotNull] ADTParser.SortsContext context)
+        {
+            if (LH.adt_sorts.Count < 1) throw new Exception("adt_sorts is empty at ExitSorts");
+        }
+
+        public void EnterSort([NotNull] ADTParser.SortContext context) { }
+        public void ExitSort([NotNull] ADTParser.SortContext context)
+        {
+            string sortName = context.BEZ().GetText();
+            if (context.Parent.GetChild(0).GetText() == "sorts")
+            {
+                Test_Sorts_all_unique(sortName);
+                LH.adt_sorts.Add(new Sort(sortName));
+                return;
+            }
+            if (new List<string>(){"operations","constructors"}.Contains(context.Parent.Parent.GetChild(0).GetText()))
+            {
+                Sort sort = LH.findSortInADT_Sorts(sortName);
+                Test_Operation_all_Sorts_were_defined_in_ADT(sortName);
+                op_sorts.Add(sort);
+                return;
+            }
+            if (context.Parent.Parent.GetChild(0).GetText() == "vars") return; // this job is done in ExitVar
+            throw new Exception("ExitSort with Context = " + context.GetText() + " in parent "+ context.Parent.GetChild(0).GetText() + " was not able to find the sense of its life.");
+        }
+        public void EnterConstructors([NotNull] ADTParser.ConstructorsContext context) => LH.adt_ops = new List<Operation>();
+        public void ExitConstructors([NotNull] ADTParser.ConstructorsContext context)
+        {
+            if (LH.adt_ops.Count < 1) throw new Exception("adt_ops is empty at ExitConstructors");
+            // check for each sort: numer & type of constructors is ok
+            foreach (Sort sort in LH.adt_sorts)
+                if (sort.GetBuildingConstructors().Count > 0 && sort.GetBasicConstructors().Count == 0)
+                    throw new Exception("The sort "+sort.name+" has building constructors, but no basic constructors.");
+        }
+
+        public void EnterOperations([NotNull] ADTParser.OperationsContext context) 
+        {
+            if (LH.adt_ops == null) LH.adt_ops = new List<Operation>(); 
+        }
+        public void ExitOperations([NotNull] ADTParser.OperationsContext context)
+        {
+            if (LH.adt_ops.Count < 1) throw new Exception("adt_ops is empty at ExitOperations");
+        }
+
+        public void EnterOperation(ADTParser.OperationContext context) => op_sorts = new List<Sort>();
+        public void ExitOperation(ADTParser.OperationContext context)
+        {
+            if (op_sorts.Count < 1) throw new Exception("op_sorts is empty at ExitOperation");
+            string operationName = context.BEZ().GetText();
+            Test_Operations_all_unique(operationName);
+            Operation operation;
+            if (context.Parent.GetChild(0).GetText() == "operations")
+                operation = new Operation(operationName, op_sorts);
+            else if (context.Parent.GetChild(0).GetText() == "constructors")
+            {
+                bool isBasic = true;
+                for (int s = 0; s < op_sorts.Count - 1; s++)
+                    if (op_sorts[s] == op_sorts.Last()) { isBasic = false; break; }
+                if (isBasic) operation = new BasicConstructor(operationName, op_sorts);
+                else operation = new BuildingConstructor(operationName, op_sorts);
+                op_sorts.Last().SetConstructor((Constructor)operation);
+            }
+            else throw new Exception("ExitOperation with Context = " + context.GetText() + " in parent " + context.Parent.GetChild(0).GetText() + " was not able to find the sense of its life.");
+            LH.adt_ops.Add(operation);
+        }
+
+        public void EnterVars([NotNull] ADTParser.VarsContext context) => LH.EnterVars();
+        public void ExitVars([NotNull] ADTParser.VarsContext context) { }
+
+        public void EnterVar([NotNull] ADTParser.VarContext context) { }
+        public void ExitVar([NotNull] ADTParser.VarContext context)
+            => LH.ExitVar(context.BEZ().GetText(), context.sort().BEZ().GetText());
+
+        public void EnterAxioms([NotNull] ADTParser.AxiomsContext context) => LH.adt_axioms = new List<Axiom>();
+        public void ExitAxioms([NotNull] ADTParser.AxiomsContext context)
+        {
+            if (LH.adt_axioms.Count < 1) throw new Exception("adt_axioms is empty at ExitAxioms");
+        }
+
+        public void EnterAxiom([NotNull] ADTParser.AxiomContext context) => LH.trees = new List<Tree>();
+        public void ExitAxiom([NotNull] ADTParser.AxiomContext context)
+        {
+            string axiomName = context.BEZ().GetText();
+            Test_Axioms_all_unique(axiomName);
+            LH.ExitEq();
+            LH.adt_axioms.Add(new Axiom(axiomName, LH.equation));
+        }
+
+        // Trees
+        public void EnterMytree([NotNull] ADTParser.MytreeContext context) { }
+        public void ExitMytree([NotNull] ADTParser.MytreeContext context) { }
+
+        public void EnterTreeLeaf([NotNull] ADTParser.TreeLeafContext context) { }
+        public void ExitTreeLeaf([NotNull] ADTParser.TreeLeafContext context)
+            => LH.ExitTreeLeaf(context.BEZ().GetText());
+
+        public void EnterTreeNode([NotNull] ADTParser.TreeNodeContext context) { }
+        public void ExitTreeNode([NotNull] ADTParser.TreeNodeContext context)
+            => LH.ExitTreeNode(context.BEZ().GetText(), context.ChildCount, context.GetText());
+
+        // useless Interface requirements
+        public void EnterEveryRule(ParserRuleContext ctx) { }
+        public void ExitEveryRule(ParserRuleContext ctx) { }
+        public void VisitErrorNode(IErrorNode node) { }
+        public void VisitTerminal(ITerminalNode node) { }
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="operationName"></param>
+        /// <returns></returns>
+        private Operation findOperationInADT_Ops(string operationName) => LH.findOperationInADT_Ops(operationName, 0, false);
+
+        // Alle Offiziell notwendige Typtests
+
+        /// <summary>
+        /// This Test is activated always when a new Sort gets added to the sortList of the ADT,
+        /// so as result all Sorts are unique.
+        /// </summary>
+        /// <param name="sortName"></param>
+        private void Test_Sorts_all_unique(string sortName)
+        {
+            if (LH.findSortInADT_Sorts(sortName) != null) throw new Exception("The Sort " + sortName + " was defined more than 1 times in Sorts of ADT!");
+        }
+        /// <summary>
+        /// This Test is activated always when a new Operation gets added to the operationList of the ADT,
+        /// so as result all Operations are unique.
+        /// </summary>
+        /// <param name="operationName"></param>
+        private void Test_Operations_all_unique(string operationName)
+        {
+            if (findOperationInADT_Ops(operationName) != null) throw new Exception("The Operation " + operationName + " was defined more than 1 times in Operations of ADT!");
+        }
+        /// <summary>
+        /// This Test is activated always when a new Sort gets added to the sortList of an Operation,
+        /// so as result every Sort of every Operation was defined in the ADT.
+        /// </summary>
+        /// <param name="sortName"></param>
+        private void Test_Operation_all_Sorts_were_defined_in_ADT(string sortName)
+        {
+            if (LH.findSortInADT_Sorts(sortName) == null) throw new Exception("Found a Sort " + sortName + " in Operations that was not defined in Sorts!");
+        }
+        /// <summary>
+        /// This Test is activated always when a new Axiom gets added to the axiomList of the ADT,
+        /// so as result all Axioms are unique. 
+        /// </summary>
+        /// <param name="axiomName"></param>
+        private void Test_Axioms_all_unique(string axiomName)
+        {
+            foreach (Axiom axiom in LH.adt_axioms)
+            {
+                if (axiom.name == axiomName) throw new Exception("The Axiom " + axiomName + " was defined more than 1 times in Axioms of ADT!");
+            }
+        }
+        /// <summary>
+        ///  This is done in LH.ExitEq() by Test_Equation_both_sides_have_same_Sort. 
+        ///  This dummy Method is for knowing, that this Test is implemented.
+        /// </summary>
+        private void Test_Axiom_both_sides_have_same_Sort() {/* Nothing here need to be. */}
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.interp
new file mode 100644
index 0000000000000000000000000000000000000000..650b3122d481495eca6ee3758b5925c4527c223d
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.interp
@@ -0,0 +1,59 @@
+token literal names:
+null
+'name'
+'sorts'
+','
+'constructors'
+'operations'
+':'
+'><'
+'->'
+'vars'
+'axioms'
+'='
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+adt
+name
+sorts
+sort
+constructors
+operations
+operation
+vars
+var
+axioms
+axiom
+mytree
+treeLeaf
+treeNode
+
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 3, 19, 131, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 3, 2, 5, 2, 32, 10, 2, 3, 2, 3, 2, 5, 2, 36, 10, 2, 3, 2, 3, 2, 3, 2, 3, 2, 5, 2, 42, 10, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 4, 3, 4, 7, 4, 53, 10, 4, 12, 4, 14, 4, 56, 11, 4, 3, 5, 3, 5, 3, 6, 3, 6, 6, 6, 62, 10, 6, 13, 6, 14, 6, 63, 3, 7, 3, 7, 6, 7, 68, 10, 7, 13, 7, 14, 7, 69, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 7, 8, 77, 10, 8, 12, 8, 14, 8, 80, 11, 8, 3, 8, 3, 8, 5, 8, 84, 10, 8, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 3, 9, 7, 9, 92, 10, 9, 12, 9, 14, 9, 95, 11, 9, 3, 10, 3, 10, 3, 10, 3, 10, 3, 11, 3, 11, 6, 11, 103, 10, 11, 13, 11, 14, 11, 104, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 13, 3, 13, 5, 13, 115, 10, 13, 3, 14, 3, 14, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 7, 15, 124, 10, 15, 12, 15, 14, 15, 127, 11, 15, 3, 15, 3, 15, 3, 15, 2, 2, 16, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 2, 2, 2, 128, 2, 31, 3, 2, 2, 2, 4, 45, 3, 2, 2, 2, 6, 48, 3, 2, 2, 2, 8, 57, 3, 2, 2, 2, 10, 59, 3, 2, 2, 2, 12, 65, 3, 2, 2, 2, 14, 71, 3, 2, 2, 2, 16, 87, 3, 2, 2, 2, 18, 96, 3, 2, 2, 2, 20, 100, 3, 2, 2, 2, 22, 106, 3, 2, 2, 2, 24, 114, 3, 2, 2, 2, 26, 116, 3, 2, 2, 2, 28, 118, 3, 2, 2, 2, 30, 32, 5, 4, 3, 2, 31, 30, 3, 2, 2, 2, 31, 32, 3, 2, 2, 2, 32, 33, 3, 2, 2, 2, 33, 35, 5, 6, 4, 2, 34, 36, 5, 10, 6, 2, 35, 34, 3, 2, 2, 2, 35, 36, 3, 2, 2, 2, 36, 37, 3, 2, 2, 2, 37, 41, 5, 12, 7, 2, 38, 39, 5, 16, 9, 2, 39, 40, 5, 20, 11, 2, 40, 42, 3, 2, 2, 2, 41, 38, 3, 2, 2, 2, 41, 42, 3, 2, 2, 2, 42, 43, 3, 2, 2, 2, 43, 44, 7, 2, 2, 3, 44, 3, 3, 2, 2, 2, 45, 46, 7, 3, 2, 2, 46, 47, 7, 16, 2, 2, 47, 5, 3, 2, 2, 2, 48, 49, 7, 4, 2, 2, 49, 54, 5, 8, 5, 2, 50, 51, 7, 5, 2, 2, 51, 53, 5, 8, 5, 2, 52, 50, 3, 2, 2, 2, 53, 56, 3, 2, 2, 2, 54, 52, 3, 2, 2, 2, 54, 55, 3, 2, 2, 2, 55, 7, 3, 2, 2, 2, 56, 54, 3, 2, 2, 2, 57, 58, 7, 16, 2, 2, 58, 9, 3, 2, 2, 2, 59, 61, 7, 6, 2, 2, 60, 62, 5, 14, 8, 2, 61, 60, 3, 2, 2, 2, 62, 63, 3, 2, 2, 2, 63, 61, 3, 2, 2, 2, 63, 64, 3, 2, 2, 2, 64, 11, 3, 2, 2, 2, 65, 67, 7, 7, 2, 2, 66, 68, 5, 14, 8, 2, 67, 66, 3, 2, 2, 2, 68, 69, 3, 2, 2, 2, 69, 67, 3, 2, 2, 2, 69, 70, 3, 2, 2, 2, 70, 13, 3, 2, 2, 2, 71, 72, 7, 16, 2, 2, 72, 83, 7, 8, 2, 2, 73, 78, 5, 8, 5, 2, 74, 75, 7, 9, 2, 2, 75, 77, 5, 8, 5, 2, 76, 74, 3, 2, 2, 2, 77, 80, 3, 2, 2, 2, 78, 76, 3, 2, 2, 2, 78, 79, 3, 2, 2, 2, 79, 81, 3, 2, 2, 2, 80, 78, 3, 2, 2, 2, 81, 82, 7, 10, 2, 2, 82, 84, 3, 2, 2, 2, 83, 73, 3, 2, 2, 2, 83, 84, 3, 2, 2, 2, 84, 85, 3, 2, 2, 2, 85, 86, 5, 8, 5, 2, 86, 15, 3, 2, 2, 2, 87, 88, 7, 11, 2, 2, 88, 93, 5, 18, 10, 2, 89, 90, 7, 5, 2, 2, 90, 92, 5, 18, 10, 2, 91, 89, 3, 2, 2, 2, 92, 95, 3, 2, 2, 2, 93, 91, 3, 2, 2, 2, 93, 94, 3, 2, 2, 2, 94, 17, 3, 2, 2, 2, 95, 93, 3, 2, 2, 2, 96, 97, 7, 16, 2, 2, 97, 98, 7, 8, 2, 2, 98, 99, 5, 8, 5, 2, 99, 19, 3, 2, 2, 2, 100, 102, 7, 12, 2, 2, 101, 103, 5, 22, 12, 2, 102, 101, 3, 2, 2, 2, 103, 104, 3, 2, 2, 2, 104, 102, 3, 2, 2, 2, 104, 105, 3, 2, 2, 2, 105, 21, 3, 2, 2, 2, 106, 107, 7, 16, 2, 2, 107, 108, 7, 8, 2, 2, 108, 109, 5, 24, 13, 2, 109, 110, 7, 13, 2, 2, 110, 111, 5, 24, 13, 2, 111, 23, 3, 2, 2, 2, 112, 115, 5, 26, 14, 2, 113, 115, 5, 28, 15, 2, 114, 112, 3, 2, 2, 2, 114, 113, 3, 2, 2, 2, 115, 25, 3, 2, 2, 2, 116, 117, 7, 16, 2, 2, 117, 27, 3, 2, 2, 2, 118, 119, 7, 16, 2, 2, 119, 120, 7, 14, 2, 2, 120, 125, 5, 24, 13, 2, 121, 122, 7, 5, 2, 2, 122, 124, 5, 24, 13, 2, 123, 121, 3, 2, 2, 2, 124, 127, 3, 2, 2, 2, 125, 123, 3, 2, 2, 2, 125, 126, 3, 2, 2, 2, 126, 128, 3, 2, 2, 2, 127, 125, 3, 2, 2, 2, 128, 129, 7, 15, 2, 2, 129, 29, 3, 2, 2, 2, 14, 31, 35, 41, 54, 63, 69, 78, 83, 93, 104, 114, 125]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..42181ff1b310f55ad8e0a3cfd99c8c60108924ba
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADT.tokens
@@ -0,0 +1,30 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+BEZ=14
+NAT=15
+WHITESPACE=16
+NEWLINE=17
+'name'=1
+'sorts'=2
+','=3
+'constructors'=4
+'operations'=5
+':'=6
+'><'=7
+'->'=8
+'vars'=9
+'axioms'=10
+'='=11
+'('=12
+')'=13
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTBaseListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTBaseListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..86a09e520961ccf6844dbb5999d80179ead39d93
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTBaseListener.cs
@@ -0,0 +1,220 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from ADT.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.ADT_Parser {
+
+using Antlr4.Runtime.Misc;
+using IErrorNode = Antlr4.Runtime.Tree.IErrorNode;
+using ITerminalNode = Antlr4.Runtime.Tree.ITerminalNode;
+using IToken = Antlr4.Runtime.IToken;
+using ParserRuleContext = Antlr4.Runtime.ParserRuleContext;
+
+/// <summary>
+/// This class provides an empty implementation of <see cref="IADTListener"/>,
+/// which can be extended to create a listener which only needs to handle a subset
+/// of the available methods.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ADTBaseListener : IADTListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.adt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterAdt([NotNull] ADTParser.AdtContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.adt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitAdt([NotNull] ADTParser.AdtContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.name"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterName([NotNull] ADTParser.NameContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.name"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitName([NotNull] ADTParser.NameContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.sorts"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSorts([NotNull] ADTParser.SortsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.sorts"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSorts([NotNull] ADTParser.SortsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSort([NotNull] ADTParser.SortContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSort([NotNull] ADTParser.SortContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.constructors"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterConstructors([NotNull] ADTParser.ConstructorsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.constructors"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitConstructors([NotNull] ADTParser.ConstructorsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.operations"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterOperations([NotNull] ADTParser.OperationsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.operations"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitOperations([NotNull] ADTParser.OperationsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.operation"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterOperation([NotNull] ADTParser.OperationContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.operation"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitOperation([NotNull] ADTParser.OperationContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.vars"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterVars([NotNull] ADTParser.VarsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.vars"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitVars([NotNull] ADTParser.VarsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterVar([NotNull] ADTParser.VarContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitVar([NotNull] ADTParser.VarContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.axioms"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterAxioms([NotNull] ADTParser.AxiomsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.axioms"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitAxioms([NotNull] ADTParser.AxiomsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.axiom"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterAxiom([NotNull] ADTParser.AxiomContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.axiom"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitAxiom([NotNull] ADTParser.AxiomContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMytree([NotNull] ADTParser.MytreeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMytree([NotNull] ADTParser.MytreeContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeLeaf([NotNull] ADTParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeLeaf([NotNull] ADTParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeNode([NotNull] ADTParser.TreeNodeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeNode([NotNull] ADTParser.TreeNodeContext context) { }
+
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void EnterEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void ExitEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitTerminal([NotNull] ITerminalNode node) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitErrorNode([NotNull] IErrorNode node) { }
+}
+} // namespace Eingabeverwaltung.Parser.ADT_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.cs
new file mode 100644
index 0000000000000000000000000000000000000000..366927c798475f213bddd407fd749089099ade93
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.cs
@@ -0,0 +1,213 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from ADT.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.ADT_Parser {
+using System;
+using System.IO;
+using System.Text;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ADTLexer : Lexer {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, BEZ=14, NAT=15, WHITESPACE=16, 
+		NEWLINE=17;
+	public static string[] channelNames = {
+		"DEFAULT_TOKEN_CHANNEL", "HIDDEN"
+	};
+
+	public static string[] modeNames = {
+		"DEFAULT_MODE"
+	};
+
+	public static readonly string[] ruleNames = {
+		"T__0", "T__1", "T__2", "T__3", "T__4", "T__5", "T__6", "T__7", "T__8", 
+		"T__9", "T__10", "T__11", "T__12", "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+
+
+	public ADTLexer(ICharStream input)
+	: this(input, Console.Out, Console.Error) { }
+
+	public ADTLexer(ICharStream input, TextWriter output, TextWriter errorOutput)
+	: base(input, output, errorOutput)
+	{
+		Interpreter = new LexerATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	private static readonly string[] _LiteralNames = {
+		null, "'name'", "'sorts'", "','", "'constructors'", "'operations'", "':'", 
+		"'><'", "'->'", "'vars'", "'axioms'", "'='", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "ADT.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string[] ChannelNames { get { return channelNames; } }
+
+	public override string[] ModeNames { get { return modeNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static ADTLexer() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x2', '\x13', '\x84', '\b', '\x1', '\x4', '\x2', '\t', '\x2', 
+		'\x4', '\x3', '\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', 
+		'\x5', '\x4', '\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', 
+		'\t', '\b', '\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', 
+		'\t', '\v', '\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', 
+		'\t', '\xE', '\x4', '\xF', '\t', '\xF', '\x4', '\x10', '\t', '\x10', '\x4', 
+		'\x11', '\t', '\x11', '\x4', '\x12', '\t', '\x12', '\x3', '\x2', '\x3', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x4', '\x3', '\x4', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\a', '\x3', '\a', '\x3', '\b', '\x3', '\b', '\x3', '\b', 
+		'\x3', '\t', '\x3', '\t', '\x3', '\t', '\x3', '\n', '\x3', '\n', '\x3', 
+		'\n', '\x3', '\n', '\x3', '\n', '\x3', '\v', '\x3', '\v', '\x3', '\v', 
+		'\x3', '\v', '\x3', '\v', '\x3', '\v', '\x3', '\v', '\x3', '\f', '\x3', 
+		'\f', '\x3', '\r', '\x3', '\r', '\x3', '\xE', '\x3', '\xE', '\x3', '\xF', 
+		'\x5', '\xF', '\x66', '\n', '\xF', '\x3', '\xF', '\a', '\xF', 'i', '\n', 
+		'\xF', '\f', '\xF', '\xE', '\xF', 'l', '\v', '\xF', '\x3', '\x10', '\x3', 
+		'\x10', '\x3', '\x10', '\a', '\x10', 'q', '\n', '\x10', '\f', '\x10', 
+		'\xE', '\x10', 't', '\v', '\x10', '\x5', '\x10', 'v', '\n', '\x10', '\x3', 
+		'\x11', '\x3', '\x11', '\x3', '\x11', '\x3', '\x11', '\x3', '\x12', '\x5', 
+		'\x12', '}', '\n', '\x12', '\x3', '\x12', '\x3', '\x12', '\x5', '\x12', 
+		'\x81', '\n', '\x12', '\x3', '\x12', '\x3', '\x12', '\x2', '\x2', '\x13', 
+		'\x3', '\x3', '\x5', '\x4', '\a', '\x5', '\t', '\x6', '\v', '\a', '\r', 
+		'\b', '\xF', '\t', '\x11', '\n', '\x13', '\v', '\x15', '\f', '\x17', '\r', 
+		'\x19', '\xE', '\x1B', '\xF', '\x1D', '\x10', '\x1F', '\x11', '!', '\x12', 
+		'#', '\x13', '\x3', '\x2', '\a', '\x4', '\x2', '\x43', '\\', '\x63', '|', 
+		'\x6', '\x2', '\x32', ';', '\x43', '\\', '\x61', '\x61', '\x63', '|', 
+		'\x3', '\x2', '\x33', ';', '\x3', '\x2', '\x32', ';', '\x4', '\x2', '\v', 
+		'\v', '\"', '\"', '\x2', '\x88', '\x2', '\x3', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '\x5', '\x3', '\x2', '\x2', '\x2', '\x2', '\a', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '\t', '\x3', '\x2', '\x2', '\x2', '\x2', '\v', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\r', '\x3', '\x2', '\x2', '\x2', '\x2', '\xF', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '\x11', '\x3', '\x2', '\x2', '\x2', '\x2', 
+		'\x13', '\x3', '\x2', '\x2', '\x2', '\x2', '\x15', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '\x17', '\x3', '\x2', '\x2', '\x2', '\x2', '\x19', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '\x1B', '\x3', '\x2', '\x2', '\x2', '\x2', 
+		'\x1D', '\x3', '\x2', '\x2', '\x2', '\x2', '\x1F', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '!', '\x3', '\x2', '\x2', '\x2', '\x2', '#', '\x3', '\x2', 
+		'\x2', '\x2', '\x3', '%', '\x3', '\x2', '\x2', '\x2', '\x5', '*', '\x3', 
+		'\x2', '\x2', '\x2', '\a', '\x30', '\x3', '\x2', '\x2', '\x2', '\t', '\x32', 
+		'\x3', '\x2', '\x2', '\x2', '\v', '?', '\x3', '\x2', '\x2', '\x2', '\r', 
+		'J', '\x3', '\x2', '\x2', '\x2', '\xF', 'L', '\x3', '\x2', '\x2', '\x2', 
+		'\x11', 'O', '\x3', '\x2', '\x2', '\x2', '\x13', 'R', '\x3', '\x2', '\x2', 
+		'\x2', '\x15', 'W', '\x3', '\x2', '\x2', '\x2', '\x17', '^', '\x3', '\x2', 
+		'\x2', '\x2', '\x19', '`', '\x3', '\x2', '\x2', '\x2', '\x1B', '\x62', 
+		'\x3', '\x2', '\x2', '\x2', '\x1D', '\x65', '\x3', '\x2', '\x2', '\x2', 
+		'\x1F', 'u', '\x3', '\x2', '\x2', '\x2', '!', 'w', '\x3', '\x2', '\x2', 
+		'\x2', '#', '\x80', '\x3', '\x2', '\x2', '\x2', '%', '&', '\a', 'p', '\x2', 
+		'\x2', '&', '\'', '\a', '\x63', '\x2', '\x2', '\'', '(', '\a', 'o', '\x2', 
+		'\x2', '(', ')', '\a', 'g', '\x2', '\x2', ')', '\x4', '\x3', '\x2', '\x2', 
+		'\x2', '*', '+', '\a', 'u', '\x2', '\x2', '+', ',', '\a', 'q', '\x2', 
+		'\x2', ',', '-', '\a', 't', '\x2', '\x2', '-', '.', '\a', 'v', '\x2', 
+		'\x2', '.', '/', '\a', 'u', '\x2', '\x2', '/', '\x6', '\x3', '\x2', '\x2', 
+		'\x2', '\x30', '\x31', '\a', '.', '\x2', '\x2', '\x31', '\b', '\x3', '\x2', 
+		'\x2', '\x2', '\x32', '\x33', '\a', '\x65', '\x2', '\x2', '\x33', '\x34', 
+		'\a', 'q', '\x2', '\x2', '\x34', '\x35', '\a', 'p', '\x2', '\x2', '\x35', 
+		'\x36', '\a', 'u', '\x2', '\x2', '\x36', '\x37', '\a', 'v', '\x2', '\x2', 
+		'\x37', '\x38', '\a', 't', '\x2', '\x2', '\x38', '\x39', '\a', 'w', '\x2', 
+		'\x2', '\x39', ':', '\a', '\x65', '\x2', '\x2', ':', ';', '\a', 'v', '\x2', 
+		'\x2', ';', '<', '\a', 'q', '\x2', '\x2', '<', '=', '\a', 't', '\x2', 
+		'\x2', '=', '>', '\a', 'u', '\x2', '\x2', '>', '\n', '\x3', '\x2', '\x2', 
+		'\x2', '?', '@', '\a', 'q', '\x2', '\x2', '@', '\x41', '\a', 'r', '\x2', 
+		'\x2', '\x41', '\x42', '\a', 'g', '\x2', '\x2', '\x42', '\x43', '\a', 
+		't', '\x2', '\x2', '\x43', '\x44', '\a', '\x63', '\x2', '\x2', '\x44', 
+		'\x45', '\a', 'v', '\x2', '\x2', '\x45', '\x46', '\a', 'k', '\x2', '\x2', 
+		'\x46', 'G', '\a', 'q', '\x2', '\x2', 'G', 'H', '\a', 'p', '\x2', '\x2', 
+		'H', 'I', '\a', 'u', '\x2', '\x2', 'I', '\f', '\x3', '\x2', '\x2', '\x2', 
+		'J', 'K', '\a', '<', '\x2', '\x2', 'K', '\xE', '\x3', '\x2', '\x2', '\x2', 
+		'L', 'M', '\a', '@', '\x2', '\x2', 'M', 'N', '\a', '>', '\x2', '\x2', 
+		'N', '\x10', '\x3', '\x2', '\x2', '\x2', 'O', 'P', '\a', '/', '\x2', '\x2', 
+		'P', 'Q', '\a', '@', '\x2', '\x2', 'Q', '\x12', '\x3', '\x2', '\x2', '\x2', 
+		'R', 'S', '\a', 'x', '\x2', '\x2', 'S', 'T', '\a', '\x63', '\x2', '\x2', 
+		'T', 'U', '\a', 't', '\x2', '\x2', 'U', 'V', '\a', 'u', '\x2', '\x2', 
+		'V', '\x14', '\x3', '\x2', '\x2', '\x2', 'W', 'X', '\a', '\x63', '\x2', 
+		'\x2', 'X', 'Y', '\a', 'z', '\x2', '\x2', 'Y', 'Z', '\a', 'k', '\x2', 
+		'\x2', 'Z', '[', '\a', 'q', '\x2', '\x2', '[', '\\', '\a', 'o', '\x2', 
+		'\x2', '\\', ']', '\a', 'u', '\x2', '\x2', ']', '\x16', '\x3', '\x2', 
+		'\x2', '\x2', '^', '_', '\a', '?', '\x2', '\x2', '_', '\x18', '\x3', '\x2', 
+		'\x2', '\x2', '`', '\x61', '\a', '*', '\x2', '\x2', '\x61', '\x1A', '\x3', 
+		'\x2', '\x2', '\x2', '\x62', '\x63', '\a', '+', '\x2', '\x2', '\x63', 
+		'\x1C', '\x3', '\x2', '\x2', '\x2', '\x64', '\x66', '\t', '\x2', '\x2', 
+		'\x2', '\x65', '\x64', '\x3', '\x2', '\x2', '\x2', '\x66', 'j', '\x3', 
+		'\x2', '\x2', '\x2', 'g', 'i', '\t', '\x3', '\x2', '\x2', 'h', 'g', '\x3', 
+		'\x2', '\x2', '\x2', 'i', 'l', '\x3', '\x2', '\x2', '\x2', 'j', 'h', '\x3', 
+		'\x2', '\x2', '\x2', 'j', 'k', '\x3', '\x2', '\x2', '\x2', 'k', '\x1E', 
+		'\x3', '\x2', '\x2', '\x2', 'l', 'j', '\x3', '\x2', '\x2', '\x2', 'm', 
+		'v', '\a', '\x32', '\x2', '\x2', 'n', 'r', '\t', '\x4', '\x2', '\x2', 
+		'o', 'q', '\t', '\x5', '\x2', '\x2', 'p', 'o', '\x3', '\x2', '\x2', '\x2', 
+		'q', 't', '\x3', '\x2', '\x2', '\x2', 'r', 'p', '\x3', '\x2', '\x2', '\x2', 
+		'r', 's', '\x3', '\x2', '\x2', '\x2', 's', 'v', '\x3', '\x2', '\x2', '\x2', 
+		't', 'r', '\x3', '\x2', '\x2', '\x2', 'u', 'm', '\x3', '\x2', '\x2', '\x2', 
+		'u', 'n', '\x3', '\x2', '\x2', '\x2', 'v', ' ', '\x3', '\x2', '\x2', '\x2', 
+		'w', 'x', '\t', '\x6', '\x2', '\x2', 'x', 'y', '\x3', '\x2', '\x2', '\x2', 
+		'y', 'z', '\b', '\x11', '\x2', '\x2', 'z', '\"', '\x3', '\x2', '\x2', 
+		'\x2', '{', '}', '\a', '\xF', '\x2', '\x2', '|', '{', '\x3', '\x2', '\x2', 
+		'\x2', '|', '}', '\x3', '\x2', '\x2', '\x2', '}', '~', '\x3', '\x2', '\x2', 
+		'\x2', '~', '\x81', '\a', '\f', '\x2', '\x2', '\x7F', '\x81', '\a', '\xF', 
+		'\x2', '\x2', '\x80', '|', '\x3', '\x2', '\x2', '\x2', '\x80', '\x7F', 
+		'\x3', '\x2', '\x2', '\x2', '\x81', '\x82', '\x3', '\x2', '\x2', '\x2', 
+		'\x82', '\x83', '\b', '\x12', '\x2', '\x2', '\x83', '$', '\x3', '\x2', 
+		'\x2', '\x2', '\n', '\x2', '\x65', 'h', 'j', 'r', 'u', '|', '\x80', '\x3', 
+		'\b', '\x2', '\x2',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.ADT_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.interp
new file mode 100644
index 0000000000000000000000000000000000000000..95a7f8525f41b45bc3eda3599c900d8cac3f20d9
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.interp
@@ -0,0 +1,68 @@
+token literal names:
+null
+'name'
+'sorts'
+','
+'constructors'
+'operations'
+':'
+'><'
+'->'
+'vars'
+'axioms'
+'='
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+T__0
+T__1
+T__2
+T__3
+T__4
+T__5
+T__6
+T__7
+T__8
+T__9
+T__10
+T__11
+T__12
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+channel names:
+DEFAULT_TOKEN_CHANNEL
+HIDDEN
+
+mode names:
+DEFAULT_MODE
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 2, 19, 132, 8, 1, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 4, 16, 9, 16, 4, 17, 9, 17, 4, 18, 9, 18, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 7, 3, 7, 3, 8, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 12, 3, 12, 3, 13, 3, 13, 3, 14, 3, 14, 3, 15, 5, 15, 102, 10, 15, 3, 15, 7, 15, 105, 10, 15, 12, 15, 14, 15, 108, 11, 15, 3, 16, 3, 16, 3, 16, 7, 16, 113, 10, 16, 12, 16, 14, 16, 116, 11, 16, 5, 16, 118, 10, 16, 3, 17, 3, 17, 3, 17, 3, 17, 3, 18, 5, 18, 125, 10, 18, 3, 18, 3, 18, 5, 18, 129, 10, 18, 3, 18, 3, 18, 2, 2, 19, 3, 3, 5, 4, 7, 5, 9, 6, 11, 7, 13, 8, 15, 9, 17, 10, 19, 11, 21, 12, 23, 13, 25, 14, 27, 15, 29, 16, 31, 17, 33, 18, 35, 19, 3, 2, 7, 4, 2, 67, 92, 99, 124, 6, 2, 50, 59, 67, 92, 97, 97, 99, 124, 3, 2, 51, 59, 3, 2, 50, 59, 4, 2, 11, 11, 34, 34, 2, 136, 2, 3, 3, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 7, 3, 2, 2, 2, 2, 9, 3, 2, 2, 2, 2, 11, 3, 2, 2, 2, 2, 13, 3, 2, 2, 2, 2, 15, 3, 2, 2, 2, 2, 17, 3, 2, 2, 2, 2, 19, 3, 2, 2, 2, 2, 21, 3, 2, 2, 2, 2, 23, 3, 2, 2, 2, 2, 25, 3, 2, 2, 2, 2, 27, 3, 2, 2, 2, 2, 29, 3, 2, 2, 2, 2, 31, 3, 2, 2, 2, 2, 33, 3, 2, 2, 2, 2, 35, 3, 2, 2, 2, 3, 37, 3, 2, 2, 2, 5, 42, 3, 2, 2, 2, 7, 48, 3, 2, 2, 2, 9, 50, 3, 2, 2, 2, 11, 63, 3, 2, 2, 2, 13, 74, 3, 2, 2, 2, 15, 76, 3, 2, 2, 2, 17, 79, 3, 2, 2, 2, 19, 82, 3, 2, 2, 2, 21, 87, 3, 2, 2, 2, 23, 94, 3, 2, 2, 2, 25, 96, 3, 2, 2, 2, 27, 98, 3, 2, 2, 2, 29, 101, 3, 2, 2, 2, 31, 117, 3, 2, 2, 2, 33, 119, 3, 2, 2, 2, 35, 128, 3, 2, 2, 2, 37, 38, 7, 112, 2, 2, 38, 39, 7, 99, 2, 2, 39, 40, 7, 111, 2, 2, 40, 41, 7, 103, 2, 2, 41, 4, 3, 2, 2, 2, 42, 43, 7, 117, 2, 2, 43, 44, 7, 113, 2, 2, 44, 45, 7, 116, 2, 2, 45, 46, 7, 118, 2, 2, 46, 47, 7, 117, 2, 2, 47, 6, 3, 2, 2, 2, 48, 49, 7, 46, 2, 2, 49, 8, 3, 2, 2, 2, 50, 51, 7, 101, 2, 2, 51, 52, 7, 113, 2, 2, 52, 53, 7, 112, 2, 2, 53, 54, 7, 117, 2, 2, 54, 55, 7, 118, 2, 2, 55, 56, 7, 116, 2, 2, 56, 57, 7, 119, 2, 2, 57, 58, 7, 101, 2, 2, 58, 59, 7, 118, 2, 2, 59, 60, 7, 113, 2, 2, 60, 61, 7, 116, 2, 2, 61, 62, 7, 117, 2, 2, 62, 10, 3, 2, 2, 2, 63, 64, 7, 113, 2, 2, 64, 65, 7, 114, 2, 2, 65, 66, 7, 103, 2, 2, 66, 67, 7, 116, 2, 2, 67, 68, 7, 99, 2, 2, 68, 69, 7, 118, 2, 2, 69, 70, 7, 107, 2, 2, 70, 71, 7, 113, 2, 2, 71, 72, 7, 112, 2, 2, 72, 73, 7, 117, 2, 2, 73, 12, 3, 2, 2, 2, 74, 75, 7, 60, 2, 2, 75, 14, 3, 2, 2, 2, 76, 77, 7, 64, 2, 2, 77, 78, 7, 62, 2, 2, 78, 16, 3, 2, 2, 2, 79, 80, 7, 47, 2, 2, 80, 81, 7, 64, 2, 2, 81, 18, 3, 2, 2, 2, 82, 83, 7, 120, 2, 2, 83, 84, 7, 99, 2, 2, 84, 85, 7, 116, 2, 2, 85, 86, 7, 117, 2, 2, 86, 20, 3, 2, 2, 2, 87, 88, 7, 99, 2, 2, 88, 89, 7, 122, 2, 2, 89, 90, 7, 107, 2, 2, 90, 91, 7, 113, 2, 2, 91, 92, 7, 111, 2, 2, 92, 93, 7, 117, 2, 2, 93, 22, 3, 2, 2, 2, 94, 95, 7, 63, 2, 2, 95, 24, 3, 2, 2, 2, 96, 97, 7, 42, 2, 2, 97, 26, 3, 2, 2, 2, 98, 99, 7, 43, 2, 2, 99, 28, 3, 2, 2, 2, 100, 102, 9, 2, 2, 2, 101, 100, 3, 2, 2, 2, 102, 106, 3, 2, 2, 2, 103, 105, 9, 3, 2, 2, 104, 103, 3, 2, 2, 2, 105, 108, 3, 2, 2, 2, 106, 104, 3, 2, 2, 2, 106, 107, 3, 2, 2, 2, 107, 30, 3, 2, 2, 2, 108, 106, 3, 2, 2, 2, 109, 118, 7, 50, 2, 2, 110, 114, 9, 4, 2, 2, 111, 113, 9, 5, 2, 2, 112, 111, 3, 2, 2, 2, 113, 116, 3, 2, 2, 2, 114, 112, 3, 2, 2, 2, 114, 115, 3, 2, 2, 2, 115, 118, 3, 2, 2, 2, 116, 114, 3, 2, 2, 2, 117, 109, 3, 2, 2, 2, 117, 110, 3, 2, 2, 2, 118, 32, 3, 2, 2, 2, 119, 120, 9, 6, 2, 2, 120, 121, 3, 2, 2, 2, 121, 122, 8, 17, 2, 2, 122, 34, 3, 2, 2, 2, 123, 125, 7, 15, 2, 2, 124, 123, 3, 2, 2, 2, 124, 125, 3, 2, 2, 2, 125, 126, 3, 2, 2, 2, 126, 129, 7, 12, 2, 2, 127, 129, 7, 15, 2, 2, 128, 124, 3, 2, 2, 2, 128, 127, 3, 2, 2, 2, 129, 130, 3, 2, 2, 2, 130, 131, 8, 18, 2, 2, 131, 36, 3, 2, 2, 2, 10, 2, 101, 104, 106, 114, 117, 124, 128, 3, 8, 2, 2]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..42181ff1b310f55ad8e0a3cfd99c8c60108924ba
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTLexer.tokens
@@ -0,0 +1,30 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+BEZ=14
+NAT=15
+WHITESPACE=16
+NEWLINE=17
+'name'=1
+'sorts'=2
+','=3
+'constructors'=4
+'operations'=5
+':'=6
+'><'=7
+'->'=8
+'vars'=9
+'axioms'=10
+'='=11
+'('=12
+')'=13
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..20ddf0cd06fe7ab08ae0b00308a2bb5859895565
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTListener.cs
@@ -0,0 +1,175 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from ADT.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.ADT_Parser {
+using Antlr4.Runtime.Misc;
+using IParseTreeListener = Antlr4.Runtime.Tree.IParseTreeListener;
+using IToken = Antlr4.Runtime.IToken;
+
+/// <summary>
+/// This interface defines a complete listener for a parse tree produced by
+/// <see cref="ADTParser"/>.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public interface IADTListener : IParseTreeListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.adt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterAdt([NotNull] ADTParser.AdtContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.adt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitAdt([NotNull] ADTParser.AdtContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.name"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterName([NotNull] ADTParser.NameContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.name"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitName([NotNull] ADTParser.NameContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.sorts"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSorts([NotNull] ADTParser.SortsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.sorts"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSorts([NotNull] ADTParser.SortsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSort([NotNull] ADTParser.SortContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSort([NotNull] ADTParser.SortContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.constructors"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterConstructors([NotNull] ADTParser.ConstructorsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.constructors"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitConstructors([NotNull] ADTParser.ConstructorsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.operations"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterOperations([NotNull] ADTParser.OperationsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.operations"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitOperations([NotNull] ADTParser.OperationsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.operation"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterOperation([NotNull] ADTParser.OperationContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.operation"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitOperation([NotNull] ADTParser.OperationContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.vars"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterVars([NotNull] ADTParser.VarsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.vars"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitVars([NotNull] ADTParser.VarsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterVar([NotNull] ADTParser.VarContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitVar([NotNull] ADTParser.VarContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.axioms"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterAxioms([NotNull] ADTParser.AxiomsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.axioms"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitAxioms([NotNull] ADTParser.AxiomsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.axiom"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterAxiom([NotNull] ADTParser.AxiomContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.axiom"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitAxiom([NotNull] ADTParser.AxiomContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMytree([NotNull] ADTParser.MytreeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMytree([NotNull] ADTParser.MytreeContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeLeaf([NotNull] ADTParser.TreeLeafContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeLeaf([NotNull] ADTParser.TreeLeafContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ADTParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeNode([NotNull] ADTParser.TreeNodeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ADTParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeNode([NotNull] ADTParser.TreeNodeContext context);
+}
+} // namespace Eingabeverwaltung.Parser.ADT_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTParser.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTParser.cs
new file mode 100644
index 0000000000000000000000000000000000000000..55c135a76b4f158807df8bb8f845eff332bf21b6
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/ADT_Parser/ADTParser.cs
@@ -0,0 +1,969 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from ADT.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.ADT_Parser {
+using System;
+using System.IO;
+using System.Text;
+using System.Diagnostics;
+using System.Collections.Generic;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using Antlr4.Runtime.Tree;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ADTParser : Parser {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, BEZ=14, NAT=15, WHITESPACE=16, 
+		NEWLINE=17;
+	public const int
+		RULE_adt = 0, RULE_name = 1, RULE_sorts = 2, RULE_sort = 3, RULE_constructors = 4, 
+		RULE_operations = 5, RULE_operation = 6, RULE_vars = 7, RULE_var = 8, 
+		RULE_axioms = 9, RULE_axiom = 10, RULE_mytree = 11, RULE_treeLeaf = 12, 
+		RULE_treeNode = 13;
+	public static readonly string[] ruleNames = {
+		"adt", "name", "sorts", "sort", "constructors", "operations", "operation", 
+		"vars", "var", "axioms", "axiom", "mytree", "treeLeaf", "treeNode"
+	};
+
+	private static readonly string[] _LiteralNames = {
+		null, "'name'", "'sorts'", "','", "'constructors'", "'operations'", "':'", 
+		"'><'", "'->'", "'vars'", "'axioms'", "'='", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "ADT.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static ADTParser() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+
+		public ADTParser(ITokenStream input) : this(input, Console.Out, Console.Error) { }
+
+		public ADTParser(ITokenStream input, TextWriter output, TextWriter errorOutput)
+		: base(input, output, errorOutput)
+	{
+		Interpreter = new ParserATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	public partial class AdtContext : ParserRuleContext {
+		public SortsContext sorts() {
+			return GetRuleContext<SortsContext>(0);
+		}
+		public OperationsContext operations() {
+			return GetRuleContext<OperationsContext>(0);
+		}
+		public ITerminalNode Eof() { return GetToken(ADTParser.Eof, 0); }
+		public NameContext name() {
+			return GetRuleContext<NameContext>(0);
+		}
+		public ConstructorsContext constructors() {
+			return GetRuleContext<ConstructorsContext>(0);
+		}
+		public VarsContext vars() {
+			return GetRuleContext<VarsContext>(0);
+		}
+		public AxiomsContext axioms() {
+			return GetRuleContext<AxiomsContext>(0);
+		}
+		public AdtContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_adt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterAdt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitAdt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public AdtContext adt() {
+		AdtContext _localctx = new AdtContext(Context, State);
+		EnterRule(_localctx, 0, RULE_adt);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 29;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__0) {
+				{
+				State = 28; name();
+				}
+			}
+
+			State = 31; sorts();
+			State = 33;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__3) {
+				{
+				State = 32; constructors();
+				}
+			}
+
+			State = 35; operations();
+			State = 39;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__8) {
+				{
+				State = 36; vars();
+				State = 37; axioms();
+				}
+			}
+
+			State = 41; Match(Eof);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class NameContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public NameContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_name; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterName(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitName(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public NameContext name() {
+		NameContext _localctx = new NameContext(Context, State);
+		EnterRule(_localctx, 2, RULE_name);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 43; Match(T__0);
+			State = 44; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SortsContext : ParserRuleContext {
+		public SortContext[] sort() {
+			return GetRuleContexts<SortContext>();
+		}
+		public SortContext sort(int i) {
+			return GetRuleContext<SortContext>(i);
+		}
+		public SortsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_sorts; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterSorts(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitSorts(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SortsContext sorts() {
+		SortsContext _localctx = new SortsContext(Context, State);
+		EnterRule(_localctx, 4, RULE_sorts);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 46; Match(T__1);
+			State = 47; sort();
+			State = 52;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__2) {
+				{
+				{
+				State = 48; Match(T__2);
+				State = 49; sort();
+				}
+				}
+				State = 54;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SortContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public SortContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_sort; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterSort(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitSort(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SortContext sort() {
+		SortContext _localctx = new SortContext(Context, State);
+		EnterRule(_localctx, 6, RULE_sort);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 55; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class ConstructorsContext : ParserRuleContext {
+		public OperationContext[] operation() {
+			return GetRuleContexts<OperationContext>();
+		}
+		public OperationContext operation(int i) {
+			return GetRuleContext<OperationContext>(i);
+		}
+		public ConstructorsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_constructors; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterConstructors(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitConstructors(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public ConstructorsContext constructors() {
+		ConstructorsContext _localctx = new ConstructorsContext(Context, State);
+		EnterRule(_localctx, 8, RULE_constructors);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 57; Match(T__3);
+			State = 59;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 58; operation();
+				}
+				}
+				State = 61;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==BEZ );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class OperationsContext : ParserRuleContext {
+		public OperationContext[] operation() {
+			return GetRuleContexts<OperationContext>();
+		}
+		public OperationContext operation(int i) {
+			return GetRuleContext<OperationContext>(i);
+		}
+		public OperationsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_operations; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterOperations(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitOperations(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public OperationsContext operations() {
+		OperationsContext _localctx = new OperationsContext(Context, State);
+		EnterRule(_localctx, 10, RULE_operations);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 63; Match(T__4);
+			State = 65;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 64; operation();
+				}
+				}
+				State = 67;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==BEZ );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class OperationContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public SortContext[] sort() {
+			return GetRuleContexts<SortContext>();
+		}
+		public SortContext sort(int i) {
+			return GetRuleContext<SortContext>(i);
+		}
+		public OperationContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_operation; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterOperation(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitOperation(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public OperationContext operation() {
+		OperationContext _localctx = new OperationContext(Context, State);
+		EnterRule(_localctx, 12, RULE_operation);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 69; Match(BEZ);
+			State = 70; Match(T__5);
+			State = 81;
+			ErrorHandler.Sync(this);
+			switch ( Interpreter.AdaptivePredict(TokenStream,7,Context) ) {
+			case 1:
+				{
+				State = 71; sort();
+				State = 76;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				while (_la==T__6) {
+					{
+					{
+					State = 72; Match(T__6);
+					State = 73; sort();
+					}
+					}
+					State = 78;
+					ErrorHandler.Sync(this);
+					_la = TokenStream.LA(1);
+				}
+				State = 79; Match(T__7);
+				}
+				break;
+			}
+			State = 83; sort();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class VarsContext : ParserRuleContext {
+		public VarContext[] var() {
+			return GetRuleContexts<VarContext>();
+		}
+		public VarContext var(int i) {
+			return GetRuleContext<VarContext>(i);
+		}
+		public VarsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_vars; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterVars(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitVars(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public VarsContext vars() {
+		VarsContext _localctx = new VarsContext(Context, State);
+		EnterRule(_localctx, 14, RULE_vars);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 85; Match(T__8);
+			State = 86; var();
+			State = 91;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__2) {
+				{
+				{
+				State = 87; Match(T__2);
+				State = 88; var();
+				}
+				}
+				State = 93;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class VarContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public SortContext sort() {
+			return GetRuleContext<SortContext>(0);
+		}
+		public VarContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_var; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterVar(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitVar(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public VarContext var() {
+		VarContext _localctx = new VarContext(Context, State);
+		EnterRule(_localctx, 16, RULE_var);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 94; Match(BEZ);
+			State = 95; Match(T__5);
+			State = 96; sort();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class AxiomsContext : ParserRuleContext {
+		public AxiomContext[] axiom() {
+			return GetRuleContexts<AxiomContext>();
+		}
+		public AxiomContext axiom(int i) {
+			return GetRuleContext<AxiomContext>(i);
+		}
+		public AxiomsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_axioms; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterAxioms(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitAxioms(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public AxiomsContext axioms() {
+		AxiomsContext _localctx = new AxiomsContext(Context, State);
+		EnterRule(_localctx, 18, RULE_axioms);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 98; Match(T__9);
+			State = 100;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 99; axiom();
+				}
+				}
+				State = 102;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==BEZ );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class AxiomContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public AxiomContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_axiom; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterAxiom(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitAxiom(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public AxiomContext axiom() {
+		AxiomContext _localctx = new AxiomContext(Context, State);
+		EnterRule(_localctx, 20, RULE_axiom);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 104; Match(BEZ);
+			State = 105; Match(T__5);
+			State = 106; mytree();
+			State = 107; Match(T__10);
+			State = 108; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MytreeContext : ParserRuleContext {
+		public TreeLeafContext treeLeaf() {
+			return GetRuleContext<TreeLeafContext>(0);
+		}
+		public TreeNodeContext treeNode() {
+			return GetRuleContext<TreeNodeContext>(0);
+		}
+		public MytreeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_mytree; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterMytree(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitMytree(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MytreeContext mytree() {
+		MytreeContext _localctx = new MytreeContext(Context, State);
+		EnterRule(_localctx, 22, RULE_mytree);
+		try {
+			State = 112;
+			ErrorHandler.Sync(this);
+			switch ( Interpreter.AdaptivePredict(TokenStream,10,Context) ) {
+			case 1:
+				EnterOuterAlt(_localctx, 1);
+				{
+				State = 110; treeLeaf();
+				}
+				break;
+			case 2:
+				EnterOuterAlt(_localctx, 2);
+				{
+				State = 111; treeNode();
+				}
+				break;
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeLeafContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public TreeLeafContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeLeaf; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterTreeLeaf(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitTreeLeaf(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeLeafContext treeLeaf() {
+		TreeLeafContext _localctx = new TreeLeafContext(Context, State);
+		EnterRule(_localctx, 24, RULE_treeLeaf);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 114; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeNodeContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ADTParser.BEZ, 0); }
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public TreeNodeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeNode; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.EnterTreeNode(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IADTListener typedListener = listener as IADTListener;
+			if (typedListener != null) typedListener.ExitTreeNode(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeNodeContext treeNode() {
+		TreeNodeContext _localctx = new TreeNodeContext(Context, State);
+		EnterRule(_localctx, 26, RULE_treeNode);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 116; Match(BEZ);
+			State = 117; Match(T__11);
+			State = 118; mytree();
+			State = 123;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__2) {
+				{
+				{
+				State = 119; Match(T__2);
+				State = 120; mytree();
+				}
+				}
+				State = 125;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			State = 126; Match(T__12);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x3', '\x13', '\x83', '\x4', '\x2', '\t', '\x2', '\x4', '\x3', 
+		'\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', '\x5', '\x4', 
+		'\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', '\t', '\b', 
+		'\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', '\t', '\v', 
+		'\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', '\t', 
+		'\xE', '\x4', '\xF', '\t', '\xF', '\x3', '\x2', '\x5', '\x2', ' ', '\n', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x5', '\x2', '$', '\n', '\x2', '\x3', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x2', '\x5', '\x2', '*', '\n', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x4', '\x3', '\x4', '\x3', '\x4', '\x3', '\x4', '\a', '\x4', 
+		'\x35', '\n', '\x4', '\f', '\x4', '\xE', '\x4', '\x38', '\v', '\x4', '\x3', 
+		'\x5', '\x3', '\x5', '\x3', '\x6', '\x3', '\x6', '\x6', '\x6', '>', '\n', 
+		'\x6', '\r', '\x6', '\xE', '\x6', '?', '\x3', '\a', '\x3', '\a', '\x6', 
+		'\a', '\x44', '\n', '\a', '\r', '\a', '\xE', '\a', '\x45', '\x3', '\b', 
+		'\x3', '\b', '\x3', '\b', '\x3', '\b', '\x3', '\b', '\a', '\b', 'M', '\n', 
+		'\b', '\f', '\b', '\xE', '\b', 'P', '\v', '\b', '\x3', '\b', '\x3', '\b', 
+		'\x5', '\b', 'T', '\n', '\b', '\x3', '\b', '\x3', '\b', '\x3', '\t', '\x3', 
+		'\t', '\x3', '\t', '\x3', '\t', '\a', '\t', '\\', '\n', '\t', '\f', '\t', 
+		'\xE', '\t', '_', '\v', '\t', '\x3', '\n', '\x3', '\n', '\x3', '\n', '\x3', 
+		'\n', '\x3', '\v', '\x3', '\v', '\x6', '\v', 'g', '\n', '\v', '\r', '\v', 
+		'\xE', '\v', 'h', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', 
+		'\x3', '\f', '\x3', '\f', '\x3', '\r', '\x3', '\r', '\x5', '\r', 's', 
+		'\n', '\r', '\x3', '\xE', '\x3', '\xE', '\x3', '\xF', '\x3', '\xF', '\x3', 
+		'\xF', '\x3', '\xF', '\x3', '\xF', '\a', '\xF', '|', '\n', '\xF', '\f', 
+		'\xF', '\xE', '\xF', '\x7F', '\v', '\xF', '\x3', '\xF', '\x3', '\xF', 
+		'\x3', '\xF', '\x2', '\x2', '\x10', '\x2', '\x4', '\x6', '\b', '\n', '\f', 
+		'\xE', '\x10', '\x12', '\x14', '\x16', '\x18', '\x1A', '\x1C', '\x2', 
+		'\x2', '\x2', '\x80', '\x2', '\x1F', '\x3', '\x2', '\x2', '\x2', '\x4', 
+		'-', '\x3', '\x2', '\x2', '\x2', '\x6', '\x30', '\x3', '\x2', '\x2', '\x2', 
+		'\b', '\x39', '\x3', '\x2', '\x2', '\x2', '\n', ';', '\x3', '\x2', '\x2', 
+		'\x2', '\f', '\x41', '\x3', '\x2', '\x2', '\x2', '\xE', 'G', '\x3', '\x2', 
+		'\x2', '\x2', '\x10', 'W', '\x3', '\x2', '\x2', '\x2', '\x12', '`', '\x3', 
+		'\x2', '\x2', '\x2', '\x14', '\x64', '\x3', '\x2', '\x2', '\x2', '\x16', 
+		'j', '\x3', '\x2', '\x2', '\x2', '\x18', 'r', '\x3', '\x2', '\x2', '\x2', 
+		'\x1A', 't', '\x3', '\x2', '\x2', '\x2', '\x1C', 'v', '\x3', '\x2', '\x2', 
+		'\x2', '\x1E', ' ', '\x5', '\x4', '\x3', '\x2', '\x1F', '\x1E', '\x3', 
+		'\x2', '\x2', '\x2', '\x1F', ' ', '\x3', '\x2', '\x2', '\x2', ' ', '!', 
+		'\x3', '\x2', '\x2', '\x2', '!', '#', '\x5', '\x6', '\x4', '\x2', '\"', 
+		'$', '\x5', '\n', '\x6', '\x2', '#', '\"', '\x3', '\x2', '\x2', '\x2', 
+		'#', '$', '\x3', '\x2', '\x2', '\x2', '$', '%', '\x3', '\x2', '\x2', '\x2', 
+		'%', ')', '\x5', '\f', '\a', '\x2', '&', '\'', '\x5', '\x10', '\t', '\x2', 
+		'\'', '(', '\x5', '\x14', '\v', '\x2', '(', '*', '\x3', '\x2', '\x2', 
+		'\x2', ')', '&', '\x3', '\x2', '\x2', '\x2', ')', '*', '\x3', '\x2', '\x2', 
+		'\x2', '*', '+', '\x3', '\x2', '\x2', '\x2', '+', ',', '\a', '\x2', '\x2', 
+		'\x3', ',', '\x3', '\x3', '\x2', '\x2', '\x2', '-', '.', '\a', '\x3', 
+		'\x2', '\x2', '.', '/', '\a', '\x10', '\x2', '\x2', '/', '\x5', '\x3', 
+		'\x2', '\x2', '\x2', '\x30', '\x31', '\a', '\x4', '\x2', '\x2', '\x31', 
+		'\x36', '\x5', '\b', '\x5', '\x2', '\x32', '\x33', '\a', '\x5', '\x2', 
+		'\x2', '\x33', '\x35', '\x5', '\b', '\x5', '\x2', '\x34', '\x32', '\x3', 
+		'\x2', '\x2', '\x2', '\x35', '\x38', '\x3', '\x2', '\x2', '\x2', '\x36', 
+		'\x34', '\x3', '\x2', '\x2', '\x2', '\x36', '\x37', '\x3', '\x2', '\x2', 
+		'\x2', '\x37', '\a', '\x3', '\x2', '\x2', '\x2', '\x38', '\x36', '\x3', 
+		'\x2', '\x2', '\x2', '\x39', ':', '\a', '\x10', '\x2', '\x2', ':', '\t', 
+		'\x3', '\x2', '\x2', '\x2', ';', '=', '\a', '\x6', '\x2', '\x2', '<', 
+		'>', '\x5', '\xE', '\b', '\x2', '=', '<', '\x3', '\x2', '\x2', '\x2', 
+		'>', '?', '\x3', '\x2', '\x2', '\x2', '?', '=', '\x3', '\x2', '\x2', '\x2', 
+		'?', '@', '\x3', '\x2', '\x2', '\x2', '@', '\v', '\x3', '\x2', '\x2', 
+		'\x2', '\x41', '\x43', '\a', '\a', '\x2', '\x2', '\x42', '\x44', '\x5', 
+		'\xE', '\b', '\x2', '\x43', '\x42', '\x3', '\x2', '\x2', '\x2', '\x44', 
+		'\x45', '\x3', '\x2', '\x2', '\x2', '\x45', '\x43', '\x3', '\x2', '\x2', 
+		'\x2', '\x45', '\x46', '\x3', '\x2', '\x2', '\x2', '\x46', '\r', '\x3', 
+		'\x2', '\x2', '\x2', 'G', 'H', '\a', '\x10', '\x2', '\x2', 'H', 'S', '\a', 
+		'\b', '\x2', '\x2', 'I', 'N', '\x5', '\b', '\x5', '\x2', 'J', 'K', '\a', 
+		'\t', '\x2', '\x2', 'K', 'M', '\x5', '\b', '\x5', '\x2', 'L', 'J', '\x3', 
+		'\x2', '\x2', '\x2', 'M', 'P', '\x3', '\x2', '\x2', '\x2', 'N', 'L', '\x3', 
+		'\x2', '\x2', '\x2', 'N', 'O', '\x3', '\x2', '\x2', '\x2', 'O', 'Q', '\x3', 
+		'\x2', '\x2', '\x2', 'P', 'N', '\x3', '\x2', '\x2', '\x2', 'Q', 'R', '\a', 
+		'\n', '\x2', '\x2', 'R', 'T', '\x3', '\x2', '\x2', '\x2', 'S', 'I', '\x3', 
+		'\x2', '\x2', '\x2', 'S', 'T', '\x3', '\x2', '\x2', '\x2', 'T', 'U', '\x3', 
+		'\x2', '\x2', '\x2', 'U', 'V', '\x5', '\b', '\x5', '\x2', 'V', '\xF', 
+		'\x3', '\x2', '\x2', '\x2', 'W', 'X', '\a', '\v', '\x2', '\x2', 'X', ']', 
+		'\x5', '\x12', '\n', '\x2', 'Y', 'Z', '\a', '\x5', '\x2', '\x2', 'Z', 
+		'\\', '\x5', '\x12', '\n', '\x2', '[', 'Y', '\x3', '\x2', '\x2', '\x2', 
+		'\\', '_', '\x3', '\x2', '\x2', '\x2', ']', '[', '\x3', '\x2', '\x2', 
+		'\x2', ']', '^', '\x3', '\x2', '\x2', '\x2', '^', '\x11', '\x3', '\x2', 
+		'\x2', '\x2', '_', ']', '\x3', '\x2', '\x2', '\x2', '`', '\x61', '\a', 
+		'\x10', '\x2', '\x2', '\x61', '\x62', '\a', '\b', '\x2', '\x2', '\x62', 
+		'\x63', '\x5', '\b', '\x5', '\x2', '\x63', '\x13', '\x3', '\x2', '\x2', 
+		'\x2', '\x64', '\x66', '\a', '\f', '\x2', '\x2', '\x65', 'g', '\x5', '\x16', 
+		'\f', '\x2', '\x66', '\x65', '\x3', '\x2', '\x2', '\x2', 'g', 'h', '\x3', 
+		'\x2', '\x2', '\x2', 'h', '\x66', '\x3', '\x2', '\x2', '\x2', 'h', 'i', 
+		'\x3', '\x2', '\x2', '\x2', 'i', '\x15', '\x3', '\x2', '\x2', '\x2', 'j', 
+		'k', '\a', '\x10', '\x2', '\x2', 'k', 'l', '\a', '\b', '\x2', '\x2', 'l', 
+		'm', '\x5', '\x18', '\r', '\x2', 'm', 'n', '\a', '\r', '\x2', '\x2', 'n', 
+		'o', '\x5', '\x18', '\r', '\x2', 'o', '\x17', '\x3', '\x2', '\x2', '\x2', 
+		'p', 's', '\x5', '\x1A', '\xE', '\x2', 'q', 's', '\x5', '\x1C', '\xF', 
+		'\x2', 'r', 'p', '\x3', '\x2', '\x2', '\x2', 'r', 'q', '\x3', '\x2', '\x2', 
+		'\x2', 's', '\x19', '\x3', '\x2', '\x2', '\x2', 't', 'u', '\a', '\x10', 
+		'\x2', '\x2', 'u', '\x1B', '\x3', '\x2', '\x2', '\x2', 'v', 'w', '\a', 
+		'\x10', '\x2', '\x2', 'w', 'x', '\a', '\xE', '\x2', '\x2', 'x', '}', '\x5', 
+		'\x18', '\r', '\x2', 'y', 'z', '\a', '\x5', '\x2', '\x2', 'z', '|', '\x5', 
+		'\x18', '\r', '\x2', '{', 'y', '\x3', '\x2', '\x2', '\x2', '|', '\x7F', 
+		'\x3', '\x2', '\x2', '\x2', '}', '{', '\x3', '\x2', '\x2', '\x2', '}', 
+		'~', '\x3', '\x2', '\x2', '\x2', '~', '\x80', '\x3', '\x2', '\x2', '\x2', 
+		'\x7F', '}', '\x3', '\x2', '\x2', '\x2', '\x80', '\x81', '\a', '\xF', 
+		'\x2', '\x2', '\x81', '\x1D', '\x3', '\x2', '\x2', '\x2', '\xE', '\x1F', 
+		'#', ')', '\x36', '?', '\x45', 'N', 'S', ']', 'h', 'r', '}',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.ADT_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Listener_Helper.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Listener_Helper.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7f7cfa9c6f972986ca3b85b8100c90b1b2dd9002
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Listener_Helper.cs
@@ -0,0 +1,309 @@
+using System;
+using System.Linq;
+using System.Collections.Generic;
+using Eingabeverwaltung.Metamodell;
+
+namespace Eingabeverwaltung.Parser
+{
+    /// <summary>
+    /// This class holds Methods and Objects which are needed for more than one Listener.
+    /// </summary>
+    public class Listener_Helper
+    {
+        // helping objects for building
+        public List<Sort> adt_sorts;
+        public List<Operation> adt_ops;
+        public List<Variable> adt_vars; // this is not always vars of adt, but in case of equation vars of equation
+        public List<Variable> allQVars; // allQVars and fixedVars are just for saving their difference
+        public List<Variable> fixedVars;
+        public List<Axiom> adt_axioms;
+        // Equation
+        public Equation equation;
+        // Tree
+        public List<Tree> trees;
+        public Listener_Helper(List<Sort> adt_sorts, List<Operation> adt_ops, List<Variable> adt_vars, List<Axiom> adt_axioms, Equation equation, List<Tree> trees)
+        {
+            this.adt_sorts = adt_sorts;
+            this.adt_ops = adt_ops;
+            this.adt_vars = adt_vars;
+            this.adt_axioms = adt_axioms;
+            this.equation = equation;
+            this.trees = trees;
+            allQVars = new List<Variable>();
+            fixedVars = new List<Variable>();
+    }
+        // Equation
+        public void EnterEq() 
+        { 
+            trees = new List<Tree>();
+            allQVars = new List<Variable>();
+            fixedVars = new List<Variable>();
+        }
+        public void ExitEq()
+        {
+            if (trees.Count != 2) throw new Exception("Calculated " + trees.Count + " Trees in Equation! The Trees are: " + TreeListToString(trees));
+            Test_Equation_both_sides_have_same_Sort(trees[0], trees[1]);
+            equation = new Equation(trees[0], trees[1], adt_vars);
+        }
+
+        public void ExitEqVarDef()
+        {
+            adt_vars = new List<Variable>(fixedVars);
+            adt_vars.AddRange(allQVars);
+        }
+
+        public void EnterVars() => adt_vars = new List<Variable>();
+
+        public void ExitVar(string variableName, string sortName)
+        {
+            Sort sort = findSortInADT_Sorts(sortName);
+            Test_Variable_Sort_was_defined_in_ADT(sortName);
+            Test_Variables_all_unique(variableName);
+            adt_vars.Add(new Variable(variableName, sort));
+        }
+
+        // Trees
+        /// <summary>
+        /// TreeLeaf is whether a Variable or a constant (ComposedTree without children)
+        /// </summary>
+        /// <param name="treeName"></param>
+        public void ExitTreeLeaf(string treeName)
+        {
+            Tree result = null;
+            Variable variable = findVariableInADT_Vars(treeName);
+            if (variable != null)
+                result = new TreeVariable(variable);
+            else
+            {
+                Operation operation = findOperationInADT_Ops(treeName, 0);
+                if (operation != null)
+                    result = new ComposedTree(operation, new List<Tree>());
+            }
+            if (result == null) throw new Exception("The Tree " + treeName + " could not be found in Vars or Operations of the ADT!");
+            trees.Add(result);
+        }
+
+        public void ExitTreeNode(string treeName, int context_ChildCount, string context_Text)
+        {
+            int childCount = (int)Math.Ceiling(((double)(context_ChildCount - 3)) / 2); // -1 for BEZ, -1 for "(", -1 for ")", ceiling(/2) = -1 for each "," between 2 children
+                                                                                        // All children of current tree are in this.trees because inner trees 1st, but sure is sure
+            if (trees.Count >= childCount)
+            {
+                Operation operation = findOperationInADT_Ops(treeName, childCount);
+                if (operation == null) throw new Exception("The Tree " + treeName + " could not be found in Operations of the ADT!");
+                List<Tree> children = new List<Tree>();
+                for (int i = 0; i < operation.sorts.Count - 1; i++)
+                {
+                    if (trees.Count == 0)
+                        throw new Exception("Not enough created trees for the current tree! CurrentTreeName: " + treeName + "\n Context: " + context_Text + "\n added children: " + TreeListToString(children));
+                    children.Add(trees.Last());
+                    trees.RemoveAt(trees.Count - 1);
+                }
+                children.Reverse();
+                Test_ComposedTree_Children_Sorts_are_correct(operation, children);
+                Tree currentTree = new ComposedTree(operation, children);
+                trees.Add(currentTree);
+            }
+            else
+            {
+                throw new Exception("Not all childen of the current Tree " + treeName + " are in trees!");
+            }
+        }
+
+        // Helping functions
+
+        /// <summary>
+        /// Sets the context of variables for creating trees.
+        /// Input: List of definition tables. Later tables are overwritten by earlier tables.
+        /// One definition table is one List of Variables.
+        /// </summary>
+        /// <param name="contextList"></param>
+        public List<Variable> getVariableContext(List<List<Variable>> contextList)
+        {
+            List<Variable> result = new List<Variable>();
+            if (contextList.Count > 0) result.AddRange(contextList[0]);
+            else return result; 
+            for (int tableNum = 1; tableNum < contextList.Count; tableNum++)
+            {
+                List<Variable> table = contextList[tableNum]; // use table readOnly!
+                foreach (Variable var in table)
+                {
+                    bool found = false;
+                    foreach (Variable resVar in result)
+                        if (var.name == resVar.name) { found = true; break; }
+                    if (!found) result.Add(var);
+                }
+            }
+            return result;
+        }
+        
+        /// <summary>
+        /// This Method is actually same as getVariableContext, but puts result to adt_vars.
+        /// </summary>
+        /// <param name="contextList"></param>
+        public void setVariableContext(List<List<Variable>> contextList)
+            => adt_vars = getVariableContext(contextList);
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="sortName"></param>
+        /// <returns></returns>
+        public Sort findSortInADT_Sorts(string sortName)
+        {
+            foreach (Sort sort in adt_sorts)
+                if (sort.name == sortName)
+                    return sort;
+            return null;
+        }
+
+        /// <summary>
+        /// Returns null if not able to find. Throws Exception if inputtedChildCount != expected ChildCount from the found Operation.
+        /// </summary>
+        /// <param name="operationName"></param>
+        /// <param name="inputtedChildCount"></param>
+        /// <returns></returns>
+        public Operation findOperationInADT_Ops(string operationName, int inputtedChildCount) => findOperationInADT_Ops(operationName, inputtedChildCount, true);
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="operationName"></param>
+        /// <param name="inputtedChildCount"></param>
+        /// <param name="testChildCount"></param>
+        /// <returns></returns>
+        public Operation findOperationInADT_Ops(string operationName, int inputtedChildCount, bool testChildCount)
+        {
+            foreach (Operation operation in adt_ops)
+            {
+                if (operation.name == operationName)
+                {
+                    if (testChildCount) Test_ComposedTree_ChildCount_is_corrent(operation, inputtedChildCount);
+                    return operation;
+                }
+            }
+            return null;
+        }
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="variableName"></param>
+        /// <returns></returns>
+        public Variable findVariableInADT_Vars(string variableName)
+        {
+            if (adt_vars == null) return null;
+            foreach (Variable variable in adt_vars)
+                if (variable.name == variableName) return variable;
+            return null;
+
+        }
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="variableName"></param>
+        /// <returns></returns>
+        public Variable findVariableInAllQVarsOrFixedVars(string variableName)
+        {
+            foreach (Variable variable in allQVars)
+                if (variable.name == variableName) return variable;
+            foreach (Variable variable in fixedVars)
+                if (variable.name == variableName) return variable;
+            return null;
+        }
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// Finds Variable in specified Variable list
+        /// </summary>
+        /// <param name="variableName"></param>
+        /// <returns></returns>
+        public Variable findVariable(string variableName, List<Variable> variables)
+        {
+            if (variables == null) return null;
+            foreach (Variable variable in variables)
+                if (variable.name == variableName) return variable;
+            return null;
+        }
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="axiomName"></param>
+        /// <returns></returns>
+        public Axiom findAxiomInADT_Axioms(string axiomName)
+        {
+            foreach (Axiom axiom in adt_axioms)
+                if (axiom.name == axiomName) return axiom;
+            return null;
+        }
+
+        public string TreeListToString(List<Tree> treeList)
+        {
+            string result = "";
+            foreach (Tree tree in treeList)
+                result += tree.ToString() + ',';
+            if (result.Length > 0) result.Remove(result.Length - 1);
+            return result;
+        }
+
+        // Alle Offiziell notwendige Typtests
+
+        /// <summary>
+        /// This Test get always activeted when a Tree gets parsed.
+        /// </summary>
+        /// <param name="operation"></param>
+        /// <param name="inputtedChildCount"></param>
+        private void Test_ComposedTree_ChildCount_is_corrent(Operation operation, int inputtedChildCount)
+        {
+            if (operation.sorts.Count != inputtedChildCount + 1)
+                throw new Exception("The Operation_Tree " + operation.name + " was inputted with " + inputtedChildCount + " children, expected " + (operation.sorts.Count - 1) + " children!");
+        }
+        private void Test_ComposedTree_Children_Sorts_are_correct(Operation operation, List<Tree> children)
+        {
+            for (int i = 0; i < children.Count; i++)
+            {
+                string type = "";
+                if (children[i] as ComposedTree != null) type = "ComposedTree";
+                else type = "Variable";
+                if (children[i].sort != operation.sorts[i])
+                    throw new Exception("Error while building the tree " + operation.name + ": The the child (" + type + ") " + children[i].name
+                                        + " with the Sort " + children[i].sort.name + " is not " + operation.sorts[i].name + "!");
+            }
+        }
+        /// <summary>
+        /// This Test is done by getting the Variable or Operation from the TreeName in the big if clause of ExitMyTree method.
+        /// Moving that Test to this Method is not possible.
+        /// Implementing that Test here again is nonsense.
+        /// This Method does actually nothing, its just a dummy for knowing, that this Test is implemented.
+        /// </summary>
+        private void Test_Tree_Variables_were_defined_in_ADT() {/* Nothing here need to be. */}
+        private void Test_Equation_both_sides_have_same_Sort(Tree leftTree, Tree rightTree)
+        {
+            if (leftTree.sort.name != rightTree.sort.name)
+                throw new Exception("The Equation has not the same Sort on its 2 sides! Sort of leftTree: " + leftTree.sort.name + " Sort of rightTree: " + rightTree.sort.name);
+        }
+
+        /// <summary>
+        /// This Test is activated always when the Sort of a Variable gets read from the parser,
+        /// so as result the Sort of every Variable was defined in the ADT.
+        /// </summary>
+        /// <param name="sortName"></param>
+        private void Test_Variable_Sort_was_defined_in_ADT(string sortName)
+        {
+            if (findSortInADT_Sorts(sortName) == null) throw new Exception("Found a Sort " + sortName + " in Variable that was not defined in Sorts!");
+        }
+
+        /// <summary>
+        /// This Test is activated always when a new Variable gets added to the variableList of the ADT / Equation,
+        /// so as result all Variables are unique.
+        /// </summary>
+        /// <param name="variableName"></param>
+        private void Test_Variables_all_unique(string variableName)
+        {
+            if (findVariableInADT_Vars(variableName) != null
+                || findVariableInAllQVarsOrFixedVars(variableName) != null
+                ) throw new Exception("The Variable " + variableName + " was defined more than 1 times.!");
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Antlr.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Antlr.cs
new file mode 100644
index 0000000000000000000000000000000000000000..fdb2e6af4d373eb29acb868e57dd41d572f12a0d
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Antlr.cs
@@ -0,0 +1,35 @@
+using Eingabeverwaltung.Parser.Proof_Parser;
+using Eingabeverwaltung.Metamodell;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+
+namespace Eingabeverwaltung.Parser
+{
+	public static class Proof_Antlr
+	{
+		/// <summary>
+		/// Requires a Container with filled ADT and Task
+		/// </summary>
+		/// <param name="Task_input"></param>
+		/// <param name="container"></param>
+		/// <returns></returns>
+		public static void parse(string Proof_input, Container container)
+		{
+			ICharStream chars = new AntlrInputStream(Proof_input);
+			ITokenSource lexer = new ProofLexer(chars);
+			ITokenStream tokens = new CommonTokenStream(lexer);
+			ProofParser parser = new ProofParser(tokens);
+
+			parser.BuildParseTree = true;
+
+			ProofParser.ProofContext tree = parser.proof();
+
+			// create Proof without TransformationSteps
+			IProofListener PL = new Proof_Listener(container);
+			ParseTreeWalker.Default.Walk(PL, tree);
+			// walk again and create all TransformationSteps: Now cycles are no Problem anymore.
+			IProofListener TL = new TransformationStep_Listener(container);
+			ParseTreeWalker.Default.Walk(TL, tree);
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Listener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Listener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..13224ef03db9f755c579e33b3908808f7654f24f
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Listener.cs
@@ -0,0 +1,271 @@
+using Eingabeverwaltung.Parser.Proof_Parser;
+using Eingabeverwaltung.Metamodell;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Misc;
+using System.Collections.Generic;
+using System;
+
+namespace Eingabeverwaltung.Parser
+{
+    /// <summary>
+    /// Proof_Listener creates the Proof but without TransformationSteps, because 
+    /// of the problems of cyclic Lemma usage or finding the topological order of uncyclic lemmata.
+    /// </summary>
+    public class Proof_Listener : IProofListener
+    {
+        // object on which will be build
+        private Container container;
+
+        // helping Listener for building
+        private Listener_Helper LH;
+
+        // Lemma parts
+        private SingleProof mainProof;
+        private List<Lemma> lemmata;
+        private Lemma lemmaDef;
+
+        private SingleProof SP;
+
+        // Induction parts
+        Variable indVar;
+        List<InductionCase> indCases;
+        List<InductionHypothesis> indHyps;
+
+        // Transformation parts
+        private Tree startTree;
+
+        public Proof_Listener(Container container)
+        {
+            this.container = container;
+            LH = new Listener_Helper(container.ADT.sorts, container.ADT.operations, null, container.ADT.axioms, null, null);
+
+            mainProof = null;
+            lemmata = null;
+            lemmaDef = null;
+            SP = null;
+
+            indVar = null;
+            indCases = null;
+            indHyps = null;
+
+            startTree = null;
+        }
+
+        // Proof controlling structures and lemmata
+        public void EnterProof([NotNull] ProofParser.ProofContext context) => lemmata = new List<Lemma>();
+        public void ExitProof([NotNull] ProofParser.ProofContext context) 
+        {
+            if (mainProof == null) throw new Exception("No main proof found in ExitProof!");
+            container.Proof = new Proof(mainProof, lemmata);
+        }
+        public void EnterMainProof([NotNull] ProofParser.MainProofContext context) 
+        {
+            // Variablen der Aufgabenstellung gelten im Hauptbeweis als erstes
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { container.Task.task.eq.variables };
+            // Variablen des ADT gelten im Hauptbeweis als zweites, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+            // feste / allQ Variablen in LH laden
+            LH.fixedVars = container.Task.task.fixedVars;
+            LH.allQVars = new List<Variable>(container.Task.task.eq.variables);
+            foreach (Variable var in LH.fixedVars)
+                LH.allQVars.Remove(var);
+        }
+        public void ExitMainProof([NotNull] ProofParser.MainProofContext context) => mainProof = SP;
+        public void EnterLemma([NotNull] ProofParser.LemmaContext context) { }
+        public void ExitLemma([NotNull] ProofParser.LemmaContext context) 
+        {
+            lemmata.Add(new Lemma(lemmaDef.name, lemmaDef.eq, lemmaDef.fixedVars, SP)); 
+            lemmaDef = null; // notwendig, damit SP weis, ob es gerade nicht in einem Lemma ist
+        }
+        public void EnterLemmaDef([NotNull] ProofParser.LemmaDefContext context) { }
+        public void ExitLemmaDef([NotNull] ProofParser.LemmaDefContext context)
+        {
+            string lemmaName = context.BEZ().GetText();
+            Test_Lemmata_all_Unique(lemmaName,"Lemma");
+            lemmaDef = new Lemma(lemmaName, LH.equation, LH.fixedVars,null);
+            // Im Beweis des Lemmas gelten zuerst die Variablen des Lemmas (gilt bereits durch das Bauen der Gleichung)
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { LH.adt_vars };
+            // Im Beweis des Lemmas gelten als zweites die Variablen des ADTs, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+        }
+        public void EnterSingleProof([NotNull] ProofParser.SingleProofContext context) => SP = null;
+        public void ExitSingleProof([NotNull] ProofParser.SingleProofContext context)
+        {
+            if (SP == null) throw new Exception("No SingleProof found in ExitSingleProof!");
+        }
+        public void EnterProof_end([NotNull] ProofParser.Proof_endContext context) { }
+        public void ExitProof_end([NotNull] ProofParser.Proof_endContext context) { }
+
+        // Transformation
+        public void EnterTransformation([NotNull] ProofParser.TransformationContext context) { }
+        public void ExitTransformation([NotNull] ProofParser.TransformationContext context)
+        {
+            SP = new Transformation(startTree, new List<TransformationStep>());
+        }
+
+        public void EnterStart_tree([NotNull] ProofParser.Start_treeContext context) => LH.trees = new List<Tree>();
+        public void ExitStart_tree([NotNull] ProofParser.Start_treeContext context)
+        {
+            if (LH.trees.Count != 1) throw new Exception("Trees was Expected to have 1 Tree for Start_tree, but found " + LH.trees.Count + " trees! They are: " + LH.TreeListToString(LH.trees));
+            startTree = LH.trees[0];
+        }
+
+        // TransformationStep is parsed by TransformationStep_Listener
+        public void EnterTransformation_step([NotNull] ProofParser.Transformation_stepContext context) { }
+        public void ExitTransformation_step([NotNull] ProofParser.Transformation_stepContext context) { }
+        public void EnterAxiom([NotNull] ProofParser.AxiomContext context) { }
+        public void ExitAxiom([NotNull] ProofParser.AxiomContext context) { }
+
+        public void EnterDirection([NotNull] ProofParser.DirectionContext context) { }
+        public void ExitDirection([NotNull] ProofParser.DirectionContext context) { }
+        public void EnterTermpart([NotNull] ProofParser.TermpartContext context) { }
+        public void ExitTermpart([NotNull] ProofParser.TermpartContext context) { }
+
+        public void EnterSubst([NotNull] ProofParser.SubstContext context) { }
+        public void ExitSubst([NotNull] ProofParser.SubstContext context) { }
+
+        public void EnterSub([NotNull] ProofParser.SubContext context) { }
+        public void ExitSub([NotNull] ProofParser.SubContext context) { }
+
+        public void EnterResult_tree([NotNull] ProofParser.Result_treeContext context) { }
+        public void ExitResult_tree([NotNull] ProofParser.Result_treeContext context) { }
+
+        // Induction
+        public void EnterInduction([NotNull] ProofParser.InductionContext context) 
+        { indVar = null; indCases = new List<InductionCase>(); indHyps = new List<InductionHypothesis>(); }
+        public void ExitInduction([NotNull] ProofParser.InductionContext context)
+        {
+            string proofName = "";
+            SingleTask lemmaIndVarTask = null;
+            if (indVar == null)
+            {// find indVar
+                if (context.Parent.Parent.GetChild(0).GetText() == "proof")
+                { indVar = container.Task.task.indVariable; proofName = "main proof"; }
+                else if (context.Parent.Parent.GetChild(0).GetChild(0).GetText() == "lemma")
+                {
+                    proofName = ((ProofParser.LemmaDefContext)context.Parent.Parent.GetChild(0)).BEZ().GetText();
+                    foreach (SingleTask lemmaTask in container.Task.lemmaTasks)
+                        if (lemmaTask.name == proofName) { indVar = lemmaTask.indVariable; lemmaIndVarTask = lemmaTask; break; }
+                }
+                else throw new Exception("ExitInduction with Context = " + context.GetText() + " was not able to find the sense of its life.");
+
+            }
+            if (indVar == null) throw new Exception("Induction variable of proof "+ proofName + " is neither definied in proof nor in task!");
+            Equation eq = null; List<Variable> fixedVars = null;
+            if (lemmaDef != null) 
+            {// this SP is in lemma lemmaDef
+                eq = lemmaDef.eq;  fixedVars = lemmaDef.fixedVars;
+            }else
+            {// this SP is in Mainproof
+                eq = container.Task.task.eq; fixedVars = container.Task.task.fixedVars;
+            }
+            if (lemmaIndVarTask != null)
+            {   // inVar must be of context of its lemma: find substitution to get correct variable.
+                Ueberpruefung.CheckHelper.getSubsAndRenamings(eq, lemmaIndVarTask.eq, out List<Substitution> subs, out List<Substitution> renamings);
+                bool changed = false;
+                if (subs == null) ;// then lemma is not proving the task (error 22), do nothing then
+                else
+                    foreach(Substitution renaming in renamings)
+                        if (renaming.tree is TreeVariable tv)
+                            if (tv.variable == indVar) { indVar = renaming.variable; changed = true; break; }
+                if (!changed) indVar = null;
+            }
+            SP = new Induction(eq,fixedVars,indVar,indCases, indHyps);
+        }
+        public void EnterInd_var([NotNull] ProofParser.Ind_varContext context)
+        {
+            string variableName = context.BEZ().GetText();
+            Variable variable = LH.findVariableInADT_Vars(variableName);
+            if (variable == null) throw new Exception("Could not find Induction variable " + variableName + " in current context of variables.");
+            indVar = variable;
+        }
+        public void ExitInd_var([NotNull] ProofParser.Ind_varContext context) { }
+        public void EnterInd_basis([NotNull] ProofParser.Ind_basisContext context) => SP = null;
+        public void ExitInd_basis([NotNull] ProofParser.Ind_basisContext context) 
+        {
+            if (SP is Transformation tr)
+                indCases.Add(new InductionCase("IA", LH.equation, LH.fixedVars, tr));
+            else throw new Exception("Found Singleproof in induction basis that is not a transformation!");
+        }
+        public void EnterInd_step([NotNull] ProofParser.Ind_stepContext context) => SP = null;
+        public void ExitInd_step([NotNull] ProofParser.Ind_stepContext context)
+        {
+            if (SP is Transformation tr)
+                indCases.Add(new InductionCase("IS", LH.equation, LH.fixedVars, tr));
+            else throw new Exception("Found Singleproof in induction step that is not a transformation!");
+        }
+        public void EnterInd_hyp([NotNull] ProofParser.Ind_hypContext context) { }
+        public void ExitInd_hyp([NotNull] ProofParser.Ind_hypContext context)
+        {
+            string name;
+            if (context.BEZ() != null)
+                name = context.BEZ().GetText();
+            else name = "IH";
+            foreach (InductionHypothesis ih in indHyps)
+                if (ih.name == name) throw new Exception("There are more then 1 inductionhypothesis with name "+name+"!");
+            Test_Lemmata_all_Unique(name,"InductionHypothesis");
+            indHyps.Add(new InductionHypothesis(name,LH.equation, LH.fixedVars)); 
+        
+        }
+        public void EnterInd_case([NotNull] ProofParser.Ind_caseContext context) { }
+        public void ExitInd_case([NotNull] ProofParser.Ind_caseContext context)
+        {
+            // Im Beweis gelten zuerst die Variablen der Gleichung (gilt bereits durch das Bauen der Gleichung)
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { LH.adt_vars };
+            // Im Beweis gelten als zweites die Variablen des ADTs, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+        }
+
+        // Equation Rules
+        public void EnterEq([NotNull] ProofParser.EqContext context) => LH.EnterEq();
+        public void ExitEq([NotNull] ProofParser.EqContext context) => LH.ExitEq();
+        public void EnterEq_var_def([NotNull] ProofParser.Eq_var_defContext context) => LH.EnterVars();
+        public void ExitEq_var_def([NotNull] ProofParser.Eq_var_defContext context) => LH.ExitEqVarDef();
+        public void EnterFixed([NotNull] ProofParser.FixedContext context) => LH.EnterVars();
+        public void ExitFixed([NotNull] ProofParser.FixedContext context) => LH.fixedVars = LH.adt_vars;
+        public void EnterForall([NotNull] ProofParser.ForallContext context) => LH.EnterVars();
+        public void ExitForall([NotNull] ProofParser.ForallContext context) => LH.allQVars = LH.adt_vars;
+        public void EnterVar([NotNull] ProofParser.VarContext context) { }
+        public void ExitVar([NotNull] ProofParser.VarContext context)
+            => LH.ExitVar(context.BEZ().GetText(), context.sort().BEZ().GetText());
+        public void EnterSort([NotNull] ProofParser.SortContext context) { }
+        public void ExitSort([NotNull] ProofParser.SortContext context) { }
+
+        // Trees
+        public void EnterMytree([NotNull] ProofParser.MytreeContext context) { }
+        public void ExitMytree([NotNull] ProofParser.MytreeContext context) { }
+
+        public void EnterTreeLeaf([NotNull] ProofParser.TreeLeafContext context) { }
+        public void ExitTreeLeaf([NotNull] ProofParser.TreeLeafContext context)
+            => LH.ExitTreeLeaf(context.BEZ().GetText());
+
+        public void EnterTreeNode([NotNull] ProofParser.TreeNodeContext context) { }
+        public void ExitTreeNode([NotNull] ProofParser.TreeNodeContext context)
+            => LH.ExitTreeNode(context.BEZ().GetText(), context.ChildCount, context.GetText());
+
+        // useless Interface requirements
+        public void EnterEveryRule(ParserRuleContext ctx) { }
+        public void ExitEveryRule(ParserRuleContext ctx) { }
+        public void VisitErrorNode(IErrorNode node) { }
+        public void VisitTerminal(ITerminalNode node) { }
+
+        // Alle Offiziell notwendige Typtests
+
+        private void Test_Lemmata_all_Unique(string name, string type)
+        {
+            foreach (Rule axiom in LH.adt_axioms)
+                if (axiom.name == name) throw new Exception("The " + type + " "+ name + " has same name like 1 Axiom of ADT!");
+            foreach (Rule lemma in lemmata)
+                if (lemma.name == name) throw new Exception("The " + type + " "+ name + " has same name like 1 Lemma of Proof!");
+            foreach (Rule lemma in container.Task.lemmata)
+                if (lemma.name == name) throw new Exception("The " + type + " "+ name + " has same name like 1 Lemma of Task!");
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.interp
new file mode 100644
index 0000000000000000000000000000000000000000..26654370ebd809f7482ea5a53877587bcf47870e
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.interp
@@ -0,0 +1,99 @@
+token literal names:
+null
+'proof'
+'lemma'
+':'
+'q.e.d.'
+'w.z.b.w.'
+'Q.E.D.'
+'W.Z.B.W.'
+'induction'
+'IA'
+'IS'
+'zu zeigen:'
+'IH'
+'{'
+','
+'}'
+'='
+'lr'
+'rl'
+'['
+']'
+'/'
+'forall'
+'fixed'
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+proof
+mainProof
+lemma
+lemmaDef
+singleProof
+proof_end
+induction
+ind_var
+ind_basis
+ind_step
+ind_case
+ind_hyp
+transformation
+start_tree
+transformation_step
+axiom
+direction
+termpart
+subst
+sub
+result_tree
+var
+sort
+forall
+fixed
+eq_var_def
+eq
+mytree
+treeLeaf
+treeNode
+
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 3, 31, 258, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 4, 16, 9, 16, 4, 17, 9, 17, 4, 18, 9, 18, 4, 19, 9, 19, 4, 20, 9, 20, 4, 21, 9, 21, 4, 22, 9, 22, 4, 23, 9, 23, 4, 24, 9, 24, 4, 25, 9, 25, 4, 26, 9, 26, 4, 27, 9, 27, 4, 28, 9, 28, 4, 29, 9, 29, 4, 30, 9, 30, 4, 31, 9, 31, 3, 2, 7, 2, 64, 10, 2, 12, 2, 14, 2, 67, 11, 2, 3, 2, 3, 2, 7, 2, 71, 10, 2, 12, 2, 14, 2, 74, 11, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 3, 81, 10, 3, 3, 4, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 6, 3, 6, 5, 6, 93, 10, 6, 3, 7, 3, 7, 3, 8, 5, 8, 98, 10, 8, 3, 8, 6, 8, 101, 10, 8, 13, 8, 14, 8, 102, 3, 8, 6, 8, 106, 10, 8, 13, 8, 14, 8, 107, 3, 8, 7, 8, 111, 10, 8, 12, 8, 14, 8, 114, 11, 8, 3, 9, 3, 9, 3, 9, 3, 10, 3, 10, 5, 10, 121, 10, 10, 3, 10, 3, 10, 3, 10, 3, 11, 3, 11, 5, 11, 128, 10, 11, 3, 11, 3, 11, 3, 11, 3, 12, 3, 12, 3, 12, 3, 13, 3, 13, 5, 13, 138, 10, 13, 3, 13, 3, 13, 5, 13, 142, 10, 13, 5, 13, 144, 10, 13, 3, 13, 3, 13, 3, 14, 3, 14, 6, 14, 150, 10, 14, 13, 14, 14, 14, 151, 3, 15, 3, 15, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 16, 3, 17, 3, 17, 3, 18, 3, 18, 3, 19, 3, 19, 3, 20, 3, 20, 3, 20, 3, 20, 7, 20, 178, 10, 20, 12, 20, 14, 20, 181, 11, 20, 5, 20, 183, 10, 20, 3, 20, 3, 20, 3, 21, 3, 21, 3, 21, 3, 21, 3, 22, 3, 22, 3, 23, 3, 23, 3, 23, 3, 23, 3, 24, 3, 24, 3, 25, 3, 25, 3, 25, 3, 25, 7, 25, 203, 10, 25, 12, 25, 14, 25, 206, 11, 25, 3, 26, 3, 26, 3, 26, 3, 26, 7, 26, 212, 10, 26, 12, 26, 14, 26, 215, 11, 26, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 5, 27, 223, 10, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 3, 27, 5, 27, 231, 10, 27, 5, 27, 233, 10, 27, 3, 28, 3, 28, 3, 28, 3, 28, 3, 28, 3, 29, 3, 29, 5, 29, 242, 10, 29, 3, 30, 3, 30, 3, 31, 3, 31, 3, 31, 3, 31, 3, 31, 7, 31, 251, 10, 31, 12, 31, 14, 31, 254, 11, 31, 3, 31, 3, 31, 3, 31, 2, 2, 32, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 2, 5, 3, 2, 6, 9, 4, 2, 14, 14, 28, 28, 3, 2, 19, 20, 2, 251, 2, 65, 3, 2, 2, 2, 4, 77, 3, 2, 2, 2, 6, 82, 3, 2, 2, 2, 8, 85, 3, 2, 2, 2, 10, 92, 3, 2, 2, 2, 12, 94, 3, 2, 2, 2, 14, 97, 3, 2, 2, 2, 16, 115, 3, 2, 2, 2, 18, 118, 3, 2, 2, 2, 20, 125, 3, 2, 2, 2, 22, 132, 3, 2, 2, 2, 24, 135, 3, 2, 2, 2, 26, 147, 3, 2, 2, 2, 28, 153, 3, 2, 2, 2, 30, 155, 3, 2, 2, 2, 32, 167, 3, 2, 2, 2, 34, 169, 3, 2, 2, 2, 36, 171, 3, 2, 2, 2, 38, 173, 3, 2, 2, 2, 40, 186, 3, 2, 2, 2, 42, 190, 3, 2, 2, 2, 44, 192, 3, 2, 2, 2, 46, 196, 3, 2, 2, 2, 48, 198, 3, 2, 2, 2, 50, 207, 3, 2, 2, 2, 52, 232, 3, 2, 2, 2, 54, 234, 3, 2, 2, 2, 56, 241, 3, 2, 2, 2, 58, 243, 3, 2, 2, 2, 60, 245, 3, 2, 2, 2, 62, 64, 5, 6, 4, 2, 63, 62, 3, 2, 2, 2, 64, 67, 3, 2, 2, 2, 65, 63, 3, 2, 2, 2, 65, 66, 3, 2, 2, 2, 66, 68, 3, 2, 2, 2, 67, 65, 3, 2, 2, 2, 68, 72, 5, 4, 3, 2, 69, 71, 5, 6, 4, 2, 70, 69, 3, 2, 2, 2, 71, 74, 3, 2, 2, 2, 72, 70, 3, 2, 2, 2, 72, 73, 3, 2, 2, 2, 73, 75, 3, 2, 2, 2, 74, 72, 3, 2, 2, 2, 75, 76, 7, 2, 2, 3, 76, 3, 3, 2, 2, 2, 77, 78, 7, 3, 2, 2, 78, 80, 5, 10, 6, 2, 79, 81, 5, 12, 7, 2, 80, 79, 3, 2, 2, 2, 80, 81, 3, 2, 2, 2, 81, 5, 3, 2, 2, 2, 82, 83, 5, 8, 5, 2, 83, 84, 5, 10, 6, 2, 84, 7, 3, 2, 2, 2, 85, 86, 7, 4, 2, 2, 86, 87, 7, 28, 2, 2, 87, 88, 7, 5, 2, 2, 88, 89, 5, 54, 28, 2, 89, 9, 3, 2, 2, 2, 90, 93, 5, 14, 8, 2, 91, 93, 5, 26, 14, 2, 92, 90, 3, 2, 2, 2, 92, 91, 3, 2, 2, 2, 93, 11, 3, 2, 2, 2, 94, 95, 9, 2, 2, 2, 95, 13, 3, 2, 2, 2, 96, 98, 5, 16, 9, 2, 97, 96, 3, 2, 2, 2, 97, 98, 3, 2, 2, 2, 98, 100, 3, 2, 2, 2, 99, 101, 5, 18, 10, 2, 100, 99, 3, 2, 2, 2, 101, 102, 3, 2, 2, 2, 102, 100, 3, 2, 2, 2, 102, 103, 3, 2, 2, 2, 103, 105, 3, 2, 2, 2, 104, 106, 5, 24, 13, 2, 105, 104, 3, 2, 2, 2, 106, 107, 3, 2, 2, 2, 107, 105, 3, 2, 2, 2, 107, 108, 3, 2, 2, 2, 108, 112, 3, 2, 2, 2, 109, 111, 5, 20, 11, 2, 110, 109, 3, 2, 2, 2, 111, 114, 3, 2, 2, 2, 112, 110, 3, 2, 2, 2, 112, 113, 3, 2, 2, 2, 113, 15, 3, 2, 2, 2, 114, 112, 3, 2, 2, 2, 115, 116, 7, 10, 2, 2, 116, 117, 7, 28, 2, 2, 117, 17, 3, 2, 2, 2, 118, 120, 7, 11, 2, 2, 119, 121, 7, 5, 2, 2, 120, 119, 3, 2, 2, 2, 120, 121, 3, 2, 2, 2, 121, 122, 3, 2, 2, 2, 122, 123, 5, 22, 12, 2, 123, 124, 5, 26, 14, 2, 124, 19, 3, 2, 2, 2, 125, 127, 7, 12, 2, 2, 126, 128, 7, 5, 2, 2, 127, 126, 3, 2, 2, 2, 127, 128, 3, 2, 2, 2, 128, 129, 3, 2, 2, 2, 129, 130, 5, 22, 12, 2, 130, 131, 5, 26, 14, 2, 131, 21, 3, 2, 2, 2, 132, 133, 7, 13, 2, 2, 133, 134, 5, 54, 28, 2, 134, 23, 3, 2, 2, 2, 135, 137, 7, 14, 2, 2, 136, 138, 7, 5, 2, 2, 137, 136, 3, 2, 2, 2, 137, 138, 3, 2, 2, 2, 138, 143, 3, 2, 2, 2, 139, 141, 7, 28, 2, 2, 140, 142, 7, 5, 2, 2, 141, 140, 3, 2, 2, 2, 141, 142, 3, 2, 2, 2, 142, 144, 3, 2, 2, 2, 143, 139, 3, 2, 2, 2, 143, 144, 3, 2, 2, 2, 144, 145, 3, 2, 2, 2, 145, 146, 5, 54, 28, 2, 146, 25, 3, 2, 2, 2, 147, 149, 5, 28, 15, 2, 148, 150, 5, 30, 16, 2, 149, 148, 3, 2, 2, 2, 150, 151, 3, 2, 2, 2, 151, 149, 3, 2, 2, 2, 151, 152, 3, 2, 2, 2, 152, 27, 3, 2, 2, 2, 153, 154, 5, 56, 29, 2, 154, 29, 3, 2, 2, 2, 155, 156, 7, 15, 2, 2, 156, 157, 5, 32, 17, 2, 157, 158, 7, 16, 2, 2, 158, 159, 5, 34, 18, 2, 159, 160, 7, 16, 2, 2, 160, 161, 5, 36, 19, 2, 161, 162, 7, 16, 2, 2, 162, 163, 5, 38, 20, 2, 163, 164, 7, 17, 2, 2, 164, 165, 7, 18, 2, 2, 165, 166, 5, 42, 22, 2, 166, 31, 3, 2, 2, 2, 167, 168, 9, 3, 2, 2, 168, 33, 3, 2, 2, 2, 169, 170, 9, 4, 2, 2, 170, 35, 3, 2, 2, 2, 171, 172, 5, 56, 29, 2, 172, 37, 3, 2, 2, 2, 173, 182, 7, 21, 2, 2, 174, 179, 5, 40, 21, 2, 175, 176, 7, 16, 2, 2, 176, 178, 5, 40, 21, 2, 177, 175, 3, 2, 2, 2, 178, 181, 3, 2, 2, 2, 179, 177, 3, 2, 2, 2, 179, 180, 3, 2, 2, 2, 180, 183, 3, 2, 2, 2, 181, 179, 3, 2, 2, 2, 182, 174, 3, 2, 2, 2, 182, 183, 3, 2, 2, 2, 183, 184, 3, 2, 2, 2, 184, 185, 7, 22, 2, 2, 185, 39, 3, 2, 2, 2, 186, 187, 5, 56, 29, 2, 187, 188, 7, 23, 2, 2, 188, 189, 7, 28, 2, 2, 189, 41, 3, 2, 2, 2, 190, 191, 5, 56, 29, 2, 191, 43, 3, 2, 2, 2, 192, 193, 7, 28, 2, 2, 193, 194, 7, 5, 2, 2, 194, 195, 5, 46, 24, 2, 195, 45, 3, 2, 2, 2, 196, 197, 7, 28, 2, 2, 197, 47, 3, 2, 2, 2, 198, 199, 7, 24, 2, 2, 199, 204, 5, 44, 23, 2, 200, 201, 7, 16, 2, 2, 201, 203, 5, 44, 23, 2, 202, 200, 3, 2, 2, 2, 203, 206, 3, 2, 2, 2, 204, 202, 3, 2, 2, 2, 204, 205, 3, 2, 2, 2, 205, 49, 3, 2, 2, 2, 206, 204, 3, 2, 2, 2, 207, 208, 7, 25, 2, 2, 208, 213, 5, 44, 23, 2, 209, 210, 7, 16, 2, 2, 210, 212, 5, 44, 23, 2, 211, 209, 3, 2, 2, 2, 212, 215, 3, 2, 2, 2, 213, 211, 3, 2, 2, 2, 213, 214, 3, 2, 2, 2, 214, 51, 3, 2, 2, 2, 215, 213, 3, 2, 2, 2, 216, 217, 5, 50, 26, 2, 217, 218, 7, 5, 2, 2, 218, 222, 3, 2, 2, 2, 219, 220, 5, 48, 25, 2, 220, 221, 7, 5, 2, 2, 221, 223, 3, 2, 2, 2, 222, 219, 3, 2, 2, 2, 222, 223, 3, 2, 2, 2, 223, 233, 3, 2, 2, 2, 224, 225, 5, 48, 25, 2, 225, 226, 7, 5, 2, 2, 226, 230, 3, 2, 2, 2, 227, 228, 5, 50, 26, 2, 228, 229, 7, 5, 2, 2, 229, 231, 3, 2, 2, 2, 230, 227, 3, 2, 2, 2, 230, 231, 3, 2, 2, 2, 231, 233, 3, 2, 2, 2, 232, 216, 3, 2, 2, 2, 232, 224, 3, 2, 2, 2, 232, 233, 3, 2, 2, 2, 233, 53, 3, 2, 2, 2, 234, 235, 5, 52, 27, 2, 235, 236, 5, 56, 29, 2, 236, 237, 7, 18, 2, 2, 237, 238, 5, 56, 29, 2, 238, 55, 3, 2, 2, 2, 239, 242, 5, 58, 30, 2, 240, 242, 5, 60, 31, 2, 241, 239, 3, 2, 2, 2, 241, 240, 3, 2, 2, 2, 242, 57, 3, 2, 2, 2, 243, 244, 7, 28, 2, 2, 244, 59, 3, 2, 2, 2, 245, 246, 7, 28, 2, 2, 246, 247, 7, 26, 2, 2, 247, 252, 5, 56, 29, 2, 248, 249, 7, 16, 2, 2, 249, 251, 5, 56, 29, 2, 250, 248, 3, 2, 2, 2, 251, 254, 3, 2, 2, 2, 252, 250, 3, 2, 2, 2, 252, 253, 3, 2, 2, 2, 253, 255, 3, 2, 2, 2, 254, 252, 3, 2, 2, 2, 255, 256, 7, 27, 2, 2, 256, 61, 3, 2, 2, 2, 25, 65, 72, 80, 92, 97, 102, 107, 112, 120, 127, 137, 141, 143, 151, 179, 182, 204, 213, 222, 230, 232, 241, 252]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..1653ec6993e186d643239faad3d76b0295eb585c
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/Proof.tokens
@@ -0,0 +1,54 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+T__13=14
+T__14=15
+T__15=16
+T__16=17
+T__17=18
+T__18=19
+T__19=20
+T__20=21
+T__21=22
+T__22=23
+T__23=24
+T__24=25
+BEZ=26
+NAT=27
+WHITESPACE=28
+NEWLINE=29
+'proof'=1
+'lemma'=2
+':'=3
+'q.e.d.'=4
+'w.z.b.w.'=5
+'Q.E.D.'=6
+'W.Z.B.W.'=7
+'induction'=8
+'IA'=9
+'IS'=10
+'zu zeigen:'=11
+'IH'=12
+'{'=13
+','=14
+'}'=15
+'='=16
+'lr'=17
+'rl'=18
+'['=19
+']'=20
+'/'=21
+'forall'=22
+'fixed'=23
+'('=24
+')'=25
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofBaseListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofBaseListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..252862601039efaf9ef68fed70bf246f249e7424
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofBaseListener.cs
@@ -0,0 +1,412 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Proof.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Proof_Parser {
+
+using Antlr4.Runtime.Misc;
+using IErrorNode = Antlr4.Runtime.Tree.IErrorNode;
+using ITerminalNode = Antlr4.Runtime.Tree.ITerminalNode;
+using IToken = Antlr4.Runtime.IToken;
+using ParserRuleContext = Antlr4.Runtime.ParserRuleContext;
+
+/// <summary>
+/// This class provides an empty implementation of <see cref="IProofListener"/>,
+/// which can be extended to create a listener which only needs to handle a subset
+/// of the available methods.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ProofBaseListener : IProofListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.proof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterProof([NotNull] ProofParser.ProofContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.proof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitProof([NotNull] ProofParser.ProofContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.mainProof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMainProof([NotNull] ProofParser.MainProofContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.mainProof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMainProof([NotNull] ProofParser.MainProofContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.lemma"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterLemma([NotNull] ProofParser.LemmaContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.lemma"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitLemma([NotNull] ProofParser.LemmaContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.lemmaDef"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterLemmaDef([NotNull] ProofParser.LemmaDefContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.lemmaDef"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitLemmaDef([NotNull] ProofParser.LemmaDefContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.singleProof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSingleProof([NotNull] ProofParser.SingleProofContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.singleProof"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSingleProof([NotNull] ProofParser.SingleProofContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.proof_end"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterProof_end([NotNull] ProofParser.Proof_endContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.proof_end"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitProof_end([NotNull] ProofParser.Proof_endContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.induction"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInduction([NotNull] ProofParser.InductionContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.induction"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInduction([NotNull] ProofParser.InductionContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_var([NotNull] ProofParser.Ind_varContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_var([NotNull] ProofParser.Ind_varContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_basis"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_basis([NotNull] ProofParser.Ind_basisContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_basis"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_basis([NotNull] ProofParser.Ind_basisContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_step"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_step([NotNull] ProofParser.Ind_stepContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_step"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_step([NotNull] ProofParser.Ind_stepContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_case"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_case([NotNull] ProofParser.Ind_caseContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_case"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_case([NotNull] ProofParser.Ind_caseContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_hyp"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_hyp([NotNull] ProofParser.Ind_hypContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_hyp"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_hyp([NotNull] ProofParser.Ind_hypContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.transformation"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTransformation([NotNull] ProofParser.TransformationContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.transformation"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTransformation([NotNull] ProofParser.TransformationContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.start_tree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterStart_tree([NotNull] ProofParser.Start_treeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.start_tree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitStart_tree([NotNull] ProofParser.Start_treeContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.transformation_step"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTransformation_step([NotNull] ProofParser.Transformation_stepContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.transformation_step"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTransformation_step([NotNull] ProofParser.Transformation_stepContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.axiom"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterAxiom([NotNull] ProofParser.AxiomContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.axiom"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitAxiom([NotNull] ProofParser.AxiomContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.direction"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterDirection([NotNull] ProofParser.DirectionContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.direction"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitDirection([NotNull] ProofParser.DirectionContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.termpart"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTermpart([NotNull] ProofParser.TermpartContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.termpart"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTermpart([NotNull] ProofParser.TermpartContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.subst"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSubst([NotNull] ProofParser.SubstContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.subst"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSubst([NotNull] ProofParser.SubstContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.sub"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSub([NotNull] ProofParser.SubContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.sub"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSub([NotNull] ProofParser.SubContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.result_tree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterResult_tree([NotNull] ProofParser.Result_treeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.result_tree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitResult_tree([NotNull] ProofParser.Result_treeContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterVar([NotNull] ProofParser.VarContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitVar([NotNull] ProofParser.VarContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSort([NotNull] ProofParser.SortContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSort([NotNull] ProofParser.SortContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.forall"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterForall([NotNull] ProofParser.ForallContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.forall"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitForall([NotNull] ProofParser.ForallContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.fixed"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterFixed([NotNull] ProofParser.FixedContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.fixed"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitFixed([NotNull] ProofParser.FixedContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.eq_var_def"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterEq_var_def([NotNull] ProofParser.Eq_var_defContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.eq_var_def"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitEq_var_def([NotNull] ProofParser.Eq_var_defContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterEq([NotNull] ProofParser.EqContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitEq([NotNull] ProofParser.EqContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMytree([NotNull] ProofParser.MytreeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMytree([NotNull] ProofParser.MytreeContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeLeaf([NotNull] ProofParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeLeaf([NotNull] ProofParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeNode([NotNull] ProofParser.TreeNodeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeNode([NotNull] ProofParser.TreeNodeContext context) { }
+
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void EnterEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void ExitEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitTerminal([NotNull] ITerminalNode node) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitErrorNode([NotNull] IErrorNode node) { }
+}
+} // namespace Eingabeverwaltung.Parser.Proof_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.cs
new file mode 100644
index 0000000000000000000000000000000000000000..52d8be643662e25cc7b3f296bbf3c1a0dafb1ff1
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.cs
@@ -0,0 +1,281 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Proof.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Proof_Parser {
+using System;
+using System.IO;
+using System.Text;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ProofLexer : Lexer {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, T__13=14, T__14=15, T__15=16, T__16=17, 
+		T__17=18, T__18=19, T__19=20, T__20=21, T__21=22, T__22=23, T__23=24, 
+		T__24=25, BEZ=26, NAT=27, WHITESPACE=28, NEWLINE=29;
+	public static string[] channelNames = {
+		"DEFAULT_TOKEN_CHANNEL", "HIDDEN"
+	};
+
+	public static string[] modeNames = {
+		"DEFAULT_MODE"
+	};
+
+	public static readonly string[] ruleNames = {
+		"T__0", "T__1", "T__2", "T__3", "T__4", "T__5", "T__6", "T__7", "T__8", 
+		"T__9", "T__10", "T__11", "T__12", "T__13", "T__14", "T__15", "T__16", 
+		"T__17", "T__18", "T__19", "T__20", "T__21", "T__22", "T__23", "T__24", 
+		"BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+
+
+	public ProofLexer(ICharStream input)
+	: this(input, Console.Out, Console.Error) { }
+
+	public ProofLexer(ICharStream input, TextWriter output, TextWriter errorOutput)
+	: base(input, output, errorOutput)
+	{
+		Interpreter = new LexerATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	private static readonly string[] _LiteralNames = {
+		null, "'proof'", "'lemma'", "':'", "'q.e.d.'", "'w.z.b.w.'", "'Q.E.D.'", 
+		"'W.Z.B.W.'", "'induction'", "'IA'", "'IS'", "'zu zeigen:'", "'IH'", "'{'", 
+		"','", "'}'", "'='", "'lr'", "'rl'", "'['", "']'", "'/'", "'forall'", 
+		"'fixed'", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "Proof.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string[] ChannelNames { get { return channelNames; } }
+
+	public override string[] ModeNames { get { return modeNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static ProofLexer() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x2', '\x1F', '\xCE', '\b', '\x1', '\x4', '\x2', '\t', '\x2', 
+		'\x4', '\x3', '\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', 
+		'\x5', '\x4', '\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', 
+		'\t', '\b', '\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', 
+		'\t', '\v', '\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', 
+		'\t', '\xE', '\x4', '\xF', '\t', '\xF', '\x4', '\x10', '\t', '\x10', '\x4', 
+		'\x11', '\t', '\x11', '\x4', '\x12', '\t', '\x12', '\x4', '\x13', '\t', 
+		'\x13', '\x4', '\x14', '\t', '\x14', '\x4', '\x15', '\t', '\x15', '\x4', 
+		'\x16', '\t', '\x16', '\x4', '\x17', '\t', '\x17', '\x4', '\x18', '\t', 
+		'\x18', '\x4', '\x19', '\t', '\x19', '\x4', '\x1A', '\t', '\x1A', '\x4', 
+		'\x1B', '\t', '\x1B', '\x4', '\x1C', '\t', '\x1C', '\x4', '\x1D', '\t', 
+		'\x1D', '\x4', '\x1E', '\t', '\x1E', '\x3', '\x2', '\x3', '\x2', '\x3', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x4', '\x3', '\x4', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\a', '\x3', '\a', '\x3', '\a', 
+		'\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\b', '\x3', 
+		'\b', '\x3', '\b', '\x3', '\b', '\x3', '\b', '\x3', '\b', '\x3', '\b', 
+		'\x3', '\b', '\x3', '\b', '\x3', '\t', '\x3', '\t', '\x3', '\t', '\x3', 
+		'\t', '\x3', '\t', '\x3', '\t', '\x3', '\t', '\x3', '\t', '\x3', '\t', 
+		'\x3', '\t', '\x3', '\n', '\x3', '\n', '\x3', '\n', '\x3', '\v', '\x3', 
+		'\v', '\x3', '\v', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', 
+		'\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', 
+		'\f', '\x3', '\f', '\x3', '\r', '\x3', '\r', '\x3', '\r', '\x3', '\xE', 
+		'\x3', '\xE', '\x3', '\xF', '\x3', '\xF', '\x3', '\x10', '\x3', '\x10', 
+		'\x3', '\x11', '\x3', '\x11', '\x3', '\x12', '\x3', '\x12', '\x3', '\x12', 
+		'\x3', '\x13', '\x3', '\x13', '\x3', '\x13', '\x3', '\x14', '\x3', '\x14', 
+		'\x3', '\x15', '\x3', '\x15', '\x3', '\x16', '\x3', '\x16', '\x3', '\x17', 
+		'\x3', '\x17', '\x3', '\x17', '\x3', '\x17', '\x3', '\x17', '\x3', '\x17', 
+		'\x3', '\x17', '\x3', '\x18', '\x3', '\x18', '\x3', '\x18', '\x3', '\x18', 
+		'\x3', '\x18', '\x3', '\x18', '\x3', '\x19', '\x3', '\x19', '\x3', '\x1A', 
+		'\x3', '\x1A', '\x3', '\x1B', '\x5', '\x1B', '\xB0', '\n', '\x1B', '\x3', 
+		'\x1B', '\a', '\x1B', '\xB3', '\n', '\x1B', '\f', '\x1B', '\xE', '\x1B', 
+		'\xB6', '\v', '\x1B', '\x3', '\x1C', '\x3', '\x1C', '\x3', '\x1C', '\a', 
+		'\x1C', '\xBB', '\n', '\x1C', '\f', '\x1C', '\xE', '\x1C', '\xBE', '\v', 
+		'\x1C', '\x5', '\x1C', '\xC0', '\n', '\x1C', '\x3', '\x1D', '\x3', '\x1D', 
+		'\x3', '\x1D', '\x3', '\x1D', '\x3', '\x1E', '\x5', '\x1E', '\xC7', '\n', 
+		'\x1E', '\x3', '\x1E', '\x3', '\x1E', '\x5', '\x1E', '\xCB', '\n', '\x1E', 
+		'\x3', '\x1E', '\x3', '\x1E', '\x2', '\x2', '\x1F', '\x3', '\x3', '\x5', 
+		'\x4', '\a', '\x5', '\t', '\x6', '\v', '\a', '\r', '\b', '\xF', '\t', 
+		'\x11', '\n', '\x13', '\v', '\x15', '\f', '\x17', '\r', '\x19', '\xE', 
+		'\x1B', '\xF', '\x1D', '\x10', '\x1F', '\x11', '!', '\x12', '#', '\x13', 
+		'%', '\x14', '\'', '\x15', ')', '\x16', '+', '\x17', '-', '\x18', '/', 
+		'\x19', '\x31', '\x1A', '\x33', '\x1B', '\x35', '\x1C', '\x37', '\x1D', 
+		'\x39', '\x1E', ';', '\x1F', '\x3', '\x2', '\a', '\x4', '\x2', '\x43', 
+		'\\', '\x63', '|', '\x6', '\x2', '\x32', ';', '\x43', '\\', '\x61', '\x61', 
+		'\x63', '|', '\x3', '\x2', '\x33', ';', '\x3', '\x2', '\x32', ';', '\x4', 
+		'\x2', '\v', '\v', '\"', '\"', '\x2', '\xD2', '\x2', '\x3', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\x5', '\x3', '\x2', '\x2', '\x2', '\x2', '\a', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '\t', '\x3', '\x2', '\x2', '\x2', '\x2', '\v', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '\r', '\x3', '\x2', '\x2', '\x2', '\x2', 
+		'\xF', '\x3', '\x2', '\x2', '\x2', '\x2', '\x11', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '\x13', '\x3', '\x2', '\x2', '\x2', '\x2', '\x15', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '\x17', '\x3', '\x2', '\x2', '\x2', '\x2', 
+		'\x19', '\x3', '\x2', '\x2', '\x2', '\x2', '\x1B', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '\x1D', '\x3', '\x2', '\x2', '\x2', '\x2', '\x1F', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '!', '\x3', '\x2', '\x2', '\x2', '\x2', '#', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '%', '\x3', '\x2', '\x2', '\x2', '\x2', 
+		'\'', '\x3', '\x2', '\x2', '\x2', '\x2', ')', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '+', '\x3', '\x2', '\x2', '\x2', '\x2', '-', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '/', '\x3', '\x2', '\x2', '\x2', '\x2', '\x31', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\x33', '\x3', '\x2', '\x2', '\x2', '\x2', '\x35', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '\x37', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '\x39', '\x3', '\x2', '\x2', '\x2', '\x2', ';', '\x3', '\x2', '\x2', 
+		'\x2', '\x3', '=', '\x3', '\x2', '\x2', '\x2', '\x5', '\x43', '\x3', '\x2', 
+		'\x2', '\x2', '\a', 'I', '\x3', '\x2', '\x2', '\x2', '\t', 'K', '\x3', 
+		'\x2', '\x2', '\x2', '\v', 'R', '\x3', '\x2', '\x2', '\x2', '\r', '[', 
+		'\x3', '\x2', '\x2', '\x2', '\xF', '\x62', '\x3', '\x2', '\x2', '\x2', 
+		'\x11', 'k', '\x3', '\x2', '\x2', '\x2', '\x13', 'u', '\x3', '\x2', '\x2', 
+		'\x2', '\x15', 'x', '\x3', '\x2', '\x2', '\x2', '\x17', '{', '\x3', '\x2', 
+		'\x2', '\x2', '\x19', '\x86', '\x3', '\x2', '\x2', '\x2', '\x1B', '\x89', 
+		'\x3', '\x2', '\x2', '\x2', '\x1D', '\x8B', '\x3', '\x2', '\x2', '\x2', 
+		'\x1F', '\x8D', '\x3', '\x2', '\x2', '\x2', '!', '\x8F', '\x3', '\x2', 
+		'\x2', '\x2', '#', '\x91', '\x3', '\x2', '\x2', '\x2', '%', '\x94', '\x3', 
+		'\x2', '\x2', '\x2', '\'', '\x97', '\x3', '\x2', '\x2', '\x2', ')', '\x99', 
+		'\x3', '\x2', '\x2', '\x2', '+', '\x9B', '\x3', '\x2', '\x2', '\x2', '-', 
+		'\x9D', '\x3', '\x2', '\x2', '\x2', '/', '\xA4', '\x3', '\x2', '\x2', 
+		'\x2', '\x31', '\xAA', '\x3', '\x2', '\x2', '\x2', '\x33', '\xAC', '\x3', 
+		'\x2', '\x2', '\x2', '\x35', '\xAF', '\x3', '\x2', '\x2', '\x2', '\x37', 
+		'\xBF', '\x3', '\x2', '\x2', '\x2', '\x39', '\xC1', '\x3', '\x2', '\x2', 
+		'\x2', ';', '\xCA', '\x3', '\x2', '\x2', '\x2', '=', '>', '\a', 'r', '\x2', 
+		'\x2', '>', '?', '\a', 't', '\x2', '\x2', '?', '@', '\a', 'q', '\x2', 
+		'\x2', '@', '\x41', '\a', 'q', '\x2', '\x2', '\x41', '\x42', '\a', 'h', 
+		'\x2', '\x2', '\x42', '\x4', '\x3', '\x2', '\x2', '\x2', '\x43', '\x44', 
+		'\a', 'n', '\x2', '\x2', '\x44', '\x45', '\a', 'g', '\x2', '\x2', '\x45', 
+		'\x46', '\a', 'o', '\x2', '\x2', '\x46', 'G', '\a', 'o', '\x2', '\x2', 
+		'G', 'H', '\a', '\x63', '\x2', '\x2', 'H', '\x6', '\x3', '\x2', '\x2', 
+		'\x2', 'I', 'J', '\a', '<', '\x2', '\x2', 'J', '\b', '\x3', '\x2', '\x2', 
+		'\x2', 'K', 'L', '\a', 's', '\x2', '\x2', 'L', 'M', '\a', '\x30', '\x2', 
+		'\x2', 'M', 'N', '\a', 'g', '\x2', '\x2', 'N', 'O', '\a', '\x30', '\x2', 
+		'\x2', 'O', 'P', '\a', '\x66', '\x2', '\x2', 'P', 'Q', '\a', '\x30', '\x2', 
+		'\x2', 'Q', '\n', '\x3', '\x2', '\x2', '\x2', 'R', 'S', '\a', 'y', '\x2', 
+		'\x2', 'S', 'T', '\a', '\x30', '\x2', '\x2', 'T', 'U', '\a', '|', '\x2', 
+		'\x2', 'U', 'V', '\a', '\x30', '\x2', '\x2', 'V', 'W', '\a', '\x64', '\x2', 
+		'\x2', 'W', 'X', '\a', '\x30', '\x2', '\x2', 'X', 'Y', '\a', 'y', '\x2', 
+		'\x2', 'Y', 'Z', '\a', '\x30', '\x2', '\x2', 'Z', '\f', '\x3', '\x2', 
+		'\x2', '\x2', '[', '\\', '\a', 'S', '\x2', '\x2', '\\', ']', '\a', '\x30', 
+		'\x2', '\x2', ']', '^', '\a', 'G', '\x2', '\x2', '^', '_', '\a', '\x30', 
+		'\x2', '\x2', '_', '`', '\a', '\x46', '\x2', '\x2', '`', '\x61', '\a', 
+		'\x30', '\x2', '\x2', '\x61', '\xE', '\x3', '\x2', '\x2', '\x2', '\x62', 
+		'\x63', '\a', 'Y', '\x2', '\x2', '\x63', '\x64', '\a', '\x30', '\x2', 
+		'\x2', '\x64', '\x65', '\a', '\\', '\x2', '\x2', '\x65', '\x66', '\a', 
+		'\x30', '\x2', '\x2', '\x66', 'g', '\a', '\x44', '\x2', '\x2', 'g', 'h', 
+		'\a', '\x30', '\x2', '\x2', 'h', 'i', '\a', 'Y', '\x2', '\x2', 'i', 'j', 
+		'\a', '\x30', '\x2', '\x2', 'j', '\x10', '\x3', '\x2', '\x2', '\x2', 'k', 
+		'l', '\a', 'k', '\x2', '\x2', 'l', 'm', '\a', 'p', '\x2', '\x2', 'm', 
+		'n', '\a', '\x66', '\x2', '\x2', 'n', 'o', '\a', 'w', '\x2', '\x2', 'o', 
+		'p', '\a', '\x65', '\x2', '\x2', 'p', 'q', '\a', 'v', '\x2', '\x2', 'q', 
+		'r', '\a', 'k', '\x2', '\x2', 'r', 's', '\a', 'q', '\x2', '\x2', 's', 
+		't', '\a', 'p', '\x2', '\x2', 't', '\x12', '\x3', '\x2', '\x2', '\x2', 
+		'u', 'v', '\a', 'K', '\x2', '\x2', 'v', 'w', '\a', '\x43', '\x2', '\x2', 
+		'w', '\x14', '\x3', '\x2', '\x2', '\x2', 'x', 'y', '\a', 'K', '\x2', '\x2', 
+		'y', 'z', '\a', 'U', '\x2', '\x2', 'z', '\x16', '\x3', '\x2', '\x2', '\x2', 
+		'{', '|', '\a', '|', '\x2', '\x2', '|', '}', '\a', 'w', '\x2', '\x2', 
+		'}', '~', '\a', '\"', '\x2', '\x2', '~', '\x7F', '\a', '|', '\x2', '\x2', 
+		'\x7F', '\x80', '\a', 'g', '\x2', '\x2', '\x80', '\x81', '\a', 'k', '\x2', 
+		'\x2', '\x81', '\x82', '\a', 'i', '\x2', '\x2', '\x82', '\x83', '\a', 
+		'g', '\x2', '\x2', '\x83', '\x84', '\a', 'p', '\x2', '\x2', '\x84', '\x85', 
+		'\a', '<', '\x2', '\x2', '\x85', '\x18', '\x3', '\x2', '\x2', '\x2', '\x86', 
+		'\x87', '\a', 'K', '\x2', '\x2', '\x87', '\x88', '\a', 'J', '\x2', '\x2', 
+		'\x88', '\x1A', '\x3', '\x2', '\x2', '\x2', '\x89', '\x8A', '\a', '}', 
+		'\x2', '\x2', '\x8A', '\x1C', '\x3', '\x2', '\x2', '\x2', '\x8B', '\x8C', 
+		'\a', '.', '\x2', '\x2', '\x8C', '\x1E', '\x3', '\x2', '\x2', '\x2', '\x8D', 
+		'\x8E', '\a', '\x7F', '\x2', '\x2', '\x8E', ' ', '\x3', '\x2', '\x2', 
+		'\x2', '\x8F', '\x90', '\a', '?', '\x2', '\x2', '\x90', '\"', '\x3', '\x2', 
+		'\x2', '\x2', '\x91', '\x92', '\a', 'n', '\x2', '\x2', '\x92', '\x93', 
+		'\a', 't', '\x2', '\x2', '\x93', '$', '\x3', '\x2', '\x2', '\x2', '\x94', 
+		'\x95', '\a', 't', '\x2', '\x2', '\x95', '\x96', '\a', 'n', '\x2', '\x2', 
+		'\x96', '&', '\x3', '\x2', '\x2', '\x2', '\x97', '\x98', '\a', ']', '\x2', 
+		'\x2', '\x98', '(', '\x3', '\x2', '\x2', '\x2', '\x99', '\x9A', '\a', 
+		'_', '\x2', '\x2', '\x9A', '*', '\x3', '\x2', '\x2', '\x2', '\x9B', '\x9C', 
+		'\a', '\x31', '\x2', '\x2', '\x9C', ',', '\x3', '\x2', '\x2', '\x2', '\x9D', 
+		'\x9E', '\a', 'h', '\x2', '\x2', '\x9E', '\x9F', '\a', 'q', '\x2', '\x2', 
+		'\x9F', '\xA0', '\a', 't', '\x2', '\x2', '\xA0', '\xA1', '\a', '\x63', 
+		'\x2', '\x2', '\xA1', '\xA2', '\a', 'n', '\x2', '\x2', '\xA2', '\xA3', 
+		'\a', 'n', '\x2', '\x2', '\xA3', '.', '\x3', '\x2', '\x2', '\x2', '\xA4', 
+		'\xA5', '\a', 'h', '\x2', '\x2', '\xA5', '\xA6', '\a', 'k', '\x2', '\x2', 
+		'\xA6', '\xA7', '\a', 'z', '\x2', '\x2', '\xA7', '\xA8', '\a', 'g', '\x2', 
+		'\x2', '\xA8', '\xA9', '\a', '\x66', '\x2', '\x2', '\xA9', '\x30', '\x3', 
+		'\x2', '\x2', '\x2', '\xAA', '\xAB', '\a', '*', '\x2', '\x2', '\xAB', 
+		'\x32', '\x3', '\x2', '\x2', '\x2', '\xAC', '\xAD', '\a', '+', '\x2', 
+		'\x2', '\xAD', '\x34', '\x3', '\x2', '\x2', '\x2', '\xAE', '\xB0', '\t', 
+		'\x2', '\x2', '\x2', '\xAF', '\xAE', '\x3', '\x2', '\x2', '\x2', '\xB0', 
+		'\xB4', '\x3', '\x2', '\x2', '\x2', '\xB1', '\xB3', '\t', '\x3', '\x2', 
+		'\x2', '\xB2', '\xB1', '\x3', '\x2', '\x2', '\x2', '\xB3', '\xB6', '\x3', 
+		'\x2', '\x2', '\x2', '\xB4', '\xB2', '\x3', '\x2', '\x2', '\x2', '\xB4', 
+		'\xB5', '\x3', '\x2', '\x2', '\x2', '\xB5', '\x36', '\x3', '\x2', '\x2', 
+		'\x2', '\xB6', '\xB4', '\x3', '\x2', '\x2', '\x2', '\xB7', '\xC0', '\a', 
+		'\x32', '\x2', '\x2', '\xB8', '\xBC', '\t', '\x4', '\x2', '\x2', '\xB9', 
+		'\xBB', '\t', '\x5', '\x2', '\x2', '\xBA', '\xB9', '\x3', '\x2', '\x2', 
+		'\x2', '\xBB', '\xBE', '\x3', '\x2', '\x2', '\x2', '\xBC', '\xBA', '\x3', 
+		'\x2', '\x2', '\x2', '\xBC', '\xBD', '\x3', '\x2', '\x2', '\x2', '\xBD', 
+		'\xC0', '\x3', '\x2', '\x2', '\x2', '\xBE', '\xBC', '\x3', '\x2', '\x2', 
+		'\x2', '\xBF', '\xB7', '\x3', '\x2', '\x2', '\x2', '\xBF', '\xB8', '\x3', 
+		'\x2', '\x2', '\x2', '\xC0', '\x38', '\x3', '\x2', '\x2', '\x2', '\xC1', 
+		'\xC2', '\t', '\x6', '\x2', '\x2', '\xC2', '\xC3', '\x3', '\x2', '\x2', 
+		'\x2', '\xC3', '\xC4', '\b', '\x1D', '\x2', '\x2', '\xC4', ':', '\x3', 
+		'\x2', '\x2', '\x2', '\xC5', '\xC7', '\a', '\xF', '\x2', '\x2', '\xC6', 
+		'\xC5', '\x3', '\x2', '\x2', '\x2', '\xC6', '\xC7', '\x3', '\x2', '\x2', 
+		'\x2', '\xC7', '\xC8', '\x3', '\x2', '\x2', '\x2', '\xC8', '\xCB', '\a', 
+		'\f', '\x2', '\x2', '\xC9', '\xCB', '\a', '\xF', '\x2', '\x2', '\xCA', 
+		'\xC6', '\x3', '\x2', '\x2', '\x2', '\xCA', '\xC9', '\x3', '\x2', '\x2', 
+		'\x2', '\xCB', '\xCC', '\x3', '\x2', '\x2', '\x2', '\xCC', '\xCD', '\b', 
+		'\x1E', '\x2', '\x2', '\xCD', '<', '\x3', '\x2', '\x2', '\x2', '\n', '\x2', 
+		'\xAF', '\xB2', '\xB4', '\xBC', '\xBF', '\xC6', '\xCA', '\x3', '\b', '\x2', 
+		'\x2',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.Proof_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.interp
new file mode 100644
index 0000000000000000000000000000000000000000..b4c295b8669b2bf2007bb3d6f0828846308734d6
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.interp
@@ -0,0 +1,104 @@
+token literal names:
+null
+'proof'
+'lemma'
+':'
+'q.e.d.'
+'w.z.b.w.'
+'Q.E.D.'
+'W.Z.B.W.'
+'induction'
+'IA'
+'IS'
+'zu zeigen:'
+'IH'
+'{'
+','
+'}'
+'='
+'lr'
+'rl'
+'['
+']'
+'/'
+'forall'
+'fixed'
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+T__0
+T__1
+T__2
+T__3
+T__4
+T__5
+T__6
+T__7
+T__8
+T__9
+T__10
+T__11
+T__12
+T__13
+T__14
+T__15
+T__16
+T__17
+T__18
+T__19
+T__20
+T__21
+T__22
+T__23
+T__24
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+channel names:
+DEFAULT_TOKEN_CHANNEL
+HIDDEN
+
+mode names:
+DEFAULT_MODE
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 2, 31, 206, 8, 1, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 4, 16, 9, 16, 4, 17, 9, 17, 4, 18, 9, 18, 4, 19, 9, 19, 4, 20, 9, 20, 4, 21, 9, 21, 4, 22, 9, 22, 4, 23, 9, 23, 4, 24, 9, 24, 4, 25, 9, 25, 4, 26, 9, 26, 4, 27, 9, 27, 4, 28, 9, 28, 4, 29, 9, 29, 4, 30, 9, 30, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 10, 3, 10, 3, 10, 3, 11, 3, 11, 3, 11, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 13, 3, 13, 3, 13, 3, 14, 3, 14, 3, 15, 3, 15, 3, 16, 3, 16, 3, 17, 3, 17, 3, 18, 3, 18, 3, 18, 3, 19, 3, 19, 3, 19, 3, 20, 3, 20, 3, 21, 3, 21, 3, 22, 3, 22, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 25, 3, 25, 3, 26, 3, 26, 3, 27, 5, 27, 176, 10, 27, 3, 27, 7, 27, 179, 10, 27, 12, 27, 14, 27, 182, 11, 27, 3, 28, 3, 28, 3, 28, 7, 28, 187, 10, 28, 12, 28, 14, 28, 190, 11, 28, 5, 28, 192, 10, 28, 3, 29, 3, 29, 3, 29, 3, 29, 3, 30, 5, 30, 199, 10, 30, 3, 30, 3, 30, 5, 30, 203, 10, 30, 3, 30, 3, 30, 2, 2, 31, 3, 3, 5, 4, 7, 5, 9, 6, 11, 7, 13, 8, 15, 9, 17, 10, 19, 11, 21, 12, 23, 13, 25, 14, 27, 15, 29, 16, 31, 17, 33, 18, 35, 19, 37, 20, 39, 21, 41, 22, 43, 23, 45, 24, 47, 25, 49, 26, 51, 27, 53, 28, 55, 29, 57, 30, 59, 31, 3, 2, 7, 4, 2, 67, 92, 99, 124, 6, 2, 50, 59, 67, 92, 97, 97, 99, 124, 3, 2, 51, 59, 3, 2, 50, 59, 4, 2, 11, 11, 34, 34, 2, 210, 2, 3, 3, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 7, 3, 2, 2, 2, 2, 9, 3, 2, 2, 2, 2, 11, 3, 2, 2, 2, 2, 13, 3, 2, 2, 2, 2, 15, 3, 2, 2, 2, 2, 17, 3, 2, 2, 2, 2, 19, 3, 2, 2, 2, 2, 21, 3, 2, 2, 2, 2, 23, 3, 2, 2, 2, 2, 25, 3, 2, 2, 2, 2, 27, 3, 2, 2, 2, 2, 29, 3, 2, 2, 2, 2, 31, 3, 2, 2, 2, 2, 33, 3, 2, 2, 2, 2, 35, 3, 2, 2, 2, 2, 37, 3, 2, 2, 2, 2, 39, 3, 2, 2, 2, 2, 41, 3, 2, 2, 2, 2, 43, 3, 2, 2, 2, 2, 45, 3, 2, 2, 2, 2, 47, 3, 2, 2, 2, 2, 49, 3, 2, 2, 2, 2, 51, 3, 2, 2, 2, 2, 53, 3, 2, 2, 2, 2, 55, 3, 2, 2, 2, 2, 57, 3, 2, 2, 2, 2, 59, 3, 2, 2, 2, 3, 61, 3, 2, 2, 2, 5, 67, 3, 2, 2, 2, 7, 73, 3, 2, 2, 2, 9, 75, 3, 2, 2, 2, 11, 82, 3, 2, 2, 2, 13, 91, 3, 2, 2, 2, 15, 98, 3, 2, 2, 2, 17, 107, 3, 2, 2, 2, 19, 117, 3, 2, 2, 2, 21, 120, 3, 2, 2, 2, 23, 123, 3, 2, 2, 2, 25, 134, 3, 2, 2, 2, 27, 137, 3, 2, 2, 2, 29, 139, 3, 2, 2, 2, 31, 141, 3, 2, 2, 2, 33, 143, 3, 2, 2, 2, 35, 145, 3, 2, 2, 2, 37, 148, 3, 2, 2, 2, 39, 151, 3, 2, 2, 2, 41, 153, 3, 2, 2, 2, 43, 155, 3, 2, 2, 2, 45, 157, 3, 2, 2, 2, 47, 164, 3, 2, 2, 2, 49, 170, 3, 2, 2, 2, 51, 172, 3, 2, 2, 2, 53, 175, 3, 2, 2, 2, 55, 191, 3, 2, 2, 2, 57, 193, 3, 2, 2, 2, 59, 202, 3, 2, 2, 2, 61, 62, 7, 114, 2, 2, 62, 63, 7, 116, 2, 2, 63, 64, 7, 113, 2, 2, 64, 65, 7, 113, 2, 2, 65, 66, 7, 104, 2, 2, 66, 4, 3, 2, 2, 2, 67, 68, 7, 110, 2, 2, 68, 69, 7, 103, 2, 2, 69, 70, 7, 111, 2, 2, 70, 71, 7, 111, 2, 2, 71, 72, 7, 99, 2, 2, 72, 6, 3, 2, 2, 2, 73, 74, 7, 60, 2, 2, 74, 8, 3, 2, 2, 2, 75, 76, 7, 115, 2, 2, 76, 77, 7, 48, 2, 2, 77, 78, 7, 103, 2, 2, 78, 79, 7, 48, 2, 2, 79, 80, 7, 102, 2, 2, 80, 81, 7, 48, 2, 2, 81, 10, 3, 2, 2, 2, 82, 83, 7, 121, 2, 2, 83, 84, 7, 48, 2, 2, 84, 85, 7, 124, 2, 2, 85, 86, 7, 48, 2, 2, 86, 87, 7, 100, 2, 2, 87, 88, 7, 48, 2, 2, 88, 89, 7, 121, 2, 2, 89, 90, 7, 48, 2, 2, 90, 12, 3, 2, 2, 2, 91, 92, 7, 83, 2, 2, 92, 93, 7, 48, 2, 2, 93, 94, 7, 71, 2, 2, 94, 95, 7, 48, 2, 2, 95, 96, 7, 70, 2, 2, 96, 97, 7, 48, 2, 2, 97, 14, 3, 2, 2, 2, 98, 99, 7, 89, 2, 2, 99, 100, 7, 48, 2, 2, 100, 101, 7, 92, 2, 2, 101, 102, 7, 48, 2, 2, 102, 103, 7, 68, 2, 2, 103, 104, 7, 48, 2, 2, 104, 105, 7, 89, 2, 2, 105, 106, 7, 48, 2, 2, 106, 16, 3, 2, 2, 2, 107, 108, 7, 107, 2, 2, 108, 109, 7, 112, 2, 2, 109, 110, 7, 102, 2, 2, 110, 111, 7, 119, 2, 2, 111, 112, 7, 101, 2, 2, 112, 113, 7, 118, 2, 2, 113, 114, 7, 107, 2, 2, 114, 115, 7, 113, 2, 2, 115, 116, 7, 112, 2, 2, 116, 18, 3, 2, 2, 2, 117, 118, 7, 75, 2, 2, 118, 119, 7, 67, 2, 2, 119, 20, 3, 2, 2, 2, 120, 121, 7, 75, 2, 2, 121, 122, 7, 85, 2, 2, 122, 22, 3, 2, 2, 2, 123, 124, 7, 124, 2, 2, 124, 125, 7, 119, 2, 2, 125, 126, 7, 34, 2, 2, 126, 127, 7, 124, 2, 2, 127, 128, 7, 103, 2, 2, 128, 129, 7, 107, 2, 2, 129, 130, 7, 105, 2, 2, 130, 131, 7, 103, 2, 2, 131, 132, 7, 112, 2, 2, 132, 133, 7, 60, 2, 2, 133, 24, 3, 2, 2, 2, 134, 135, 7, 75, 2, 2, 135, 136, 7, 74, 2, 2, 136, 26, 3, 2, 2, 2, 137, 138, 7, 125, 2, 2, 138, 28, 3, 2, 2, 2, 139, 140, 7, 46, 2, 2, 140, 30, 3, 2, 2, 2, 141, 142, 7, 127, 2, 2, 142, 32, 3, 2, 2, 2, 143, 144, 7, 63, 2, 2, 144, 34, 3, 2, 2, 2, 145, 146, 7, 110, 2, 2, 146, 147, 7, 116, 2, 2, 147, 36, 3, 2, 2, 2, 148, 149, 7, 116, 2, 2, 149, 150, 7, 110, 2, 2, 150, 38, 3, 2, 2, 2, 151, 152, 7, 93, 2, 2, 152, 40, 3, 2, 2, 2, 153, 154, 7, 95, 2, 2, 154, 42, 3, 2, 2, 2, 155, 156, 7, 49, 2, 2, 156, 44, 3, 2, 2, 2, 157, 158, 7, 104, 2, 2, 158, 159, 7, 113, 2, 2, 159, 160, 7, 116, 2, 2, 160, 161, 7, 99, 2, 2, 161, 162, 7, 110, 2, 2, 162, 163, 7, 110, 2, 2, 163, 46, 3, 2, 2, 2, 164, 165, 7, 104, 2, 2, 165, 166, 7, 107, 2, 2, 166, 167, 7, 122, 2, 2, 167, 168, 7, 103, 2, 2, 168, 169, 7, 102, 2, 2, 169, 48, 3, 2, 2, 2, 170, 171, 7, 42, 2, 2, 171, 50, 3, 2, 2, 2, 172, 173, 7, 43, 2, 2, 173, 52, 3, 2, 2, 2, 174, 176, 9, 2, 2, 2, 175, 174, 3, 2, 2, 2, 176, 180, 3, 2, 2, 2, 177, 179, 9, 3, 2, 2, 178, 177, 3, 2, 2, 2, 179, 182, 3, 2, 2, 2, 180, 178, 3, 2, 2, 2, 180, 181, 3, 2, 2, 2, 181, 54, 3, 2, 2, 2, 182, 180, 3, 2, 2, 2, 183, 192, 7, 50, 2, 2, 184, 188, 9, 4, 2, 2, 185, 187, 9, 5, 2, 2, 186, 185, 3, 2, 2, 2, 187, 190, 3, 2, 2, 2, 188, 186, 3, 2, 2, 2, 188, 189, 3, 2, 2, 2, 189, 192, 3, 2, 2, 2, 190, 188, 3, 2, 2, 2, 191, 183, 3, 2, 2, 2, 191, 184, 3, 2, 2, 2, 192, 56, 3, 2, 2, 2, 193, 194, 9, 6, 2, 2, 194, 195, 3, 2, 2, 2, 195, 196, 8, 29, 2, 2, 196, 58, 3, 2, 2, 2, 197, 199, 7, 15, 2, 2, 198, 197, 3, 2, 2, 2, 198, 199, 3, 2, 2, 2, 199, 200, 3, 2, 2, 2, 200, 203, 7, 12, 2, 2, 201, 203, 7, 15, 2, 2, 202, 198, 3, 2, 2, 2, 202, 201, 3, 2, 2, 2, 203, 204, 3, 2, 2, 2, 204, 205, 8, 30, 2, 2, 205, 60, 3, 2, 2, 2, 10, 2, 175, 178, 180, 188, 191, 198, 202, 3, 8, 2, 2]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..1653ec6993e186d643239faad3d76b0295eb585c
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofLexer.tokens
@@ -0,0 +1,54 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+T__13=14
+T__14=15
+T__15=16
+T__16=17
+T__17=18
+T__18=19
+T__19=20
+T__20=21
+T__21=22
+T__22=23
+T__23=24
+T__24=25
+BEZ=26
+NAT=27
+WHITESPACE=28
+NEWLINE=29
+'proof'=1
+'lemma'=2
+':'=3
+'q.e.d.'=4
+'w.z.b.w.'=5
+'Q.E.D.'=6
+'W.Z.B.W.'=7
+'induction'=8
+'IA'=9
+'IS'=10
+'zu zeigen:'=11
+'IH'=12
+'{'=13
+','=14
+'}'=15
+'='=16
+'lr'=17
+'rl'=18
+'['=19
+']'=20
+'/'=21
+'forall'=22
+'fixed'=23
+'('=24
+')'=25
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ddd56b858dad792e7893cdffc0018769b9a31b62
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofListener.cs
@@ -0,0 +1,335 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Proof.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Proof_Parser {
+using Antlr4.Runtime.Misc;
+using IParseTreeListener = Antlr4.Runtime.Tree.IParseTreeListener;
+using IToken = Antlr4.Runtime.IToken;
+
+/// <summary>
+/// This interface defines a complete listener for a parse tree produced by
+/// <see cref="ProofParser"/>.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public interface IProofListener : IParseTreeListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.proof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterProof([NotNull] ProofParser.ProofContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.proof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitProof([NotNull] ProofParser.ProofContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.mainProof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMainProof([NotNull] ProofParser.MainProofContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.mainProof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMainProof([NotNull] ProofParser.MainProofContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.lemma"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterLemma([NotNull] ProofParser.LemmaContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.lemma"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitLemma([NotNull] ProofParser.LemmaContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.lemmaDef"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterLemmaDef([NotNull] ProofParser.LemmaDefContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.lemmaDef"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitLemmaDef([NotNull] ProofParser.LemmaDefContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.singleProof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSingleProof([NotNull] ProofParser.SingleProofContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.singleProof"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSingleProof([NotNull] ProofParser.SingleProofContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.proof_end"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterProof_end([NotNull] ProofParser.Proof_endContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.proof_end"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitProof_end([NotNull] ProofParser.Proof_endContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.induction"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInduction([NotNull] ProofParser.InductionContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.induction"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInduction([NotNull] ProofParser.InductionContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_var([NotNull] ProofParser.Ind_varContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_var([NotNull] ProofParser.Ind_varContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_basis"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_basis([NotNull] ProofParser.Ind_basisContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_basis"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_basis([NotNull] ProofParser.Ind_basisContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_step"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_step([NotNull] ProofParser.Ind_stepContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_step"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_step([NotNull] ProofParser.Ind_stepContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_case"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_case([NotNull] ProofParser.Ind_caseContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_case"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_case([NotNull] ProofParser.Ind_caseContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.ind_hyp"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_hyp([NotNull] ProofParser.Ind_hypContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.ind_hyp"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_hyp([NotNull] ProofParser.Ind_hypContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.transformation"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTransformation([NotNull] ProofParser.TransformationContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.transformation"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTransformation([NotNull] ProofParser.TransformationContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.start_tree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterStart_tree([NotNull] ProofParser.Start_treeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.start_tree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitStart_tree([NotNull] ProofParser.Start_treeContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.transformation_step"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTransformation_step([NotNull] ProofParser.Transformation_stepContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.transformation_step"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTransformation_step([NotNull] ProofParser.Transformation_stepContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.axiom"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterAxiom([NotNull] ProofParser.AxiomContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.axiom"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitAxiom([NotNull] ProofParser.AxiomContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.direction"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterDirection([NotNull] ProofParser.DirectionContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.direction"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitDirection([NotNull] ProofParser.DirectionContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.termpart"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTermpart([NotNull] ProofParser.TermpartContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.termpart"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTermpart([NotNull] ProofParser.TermpartContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.subst"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSubst([NotNull] ProofParser.SubstContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.subst"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSubst([NotNull] ProofParser.SubstContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.sub"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSub([NotNull] ProofParser.SubContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.sub"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSub([NotNull] ProofParser.SubContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.result_tree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterResult_tree([NotNull] ProofParser.Result_treeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.result_tree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitResult_tree([NotNull] ProofParser.Result_treeContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterVar([NotNull] ProofParser.VarContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitVar([NotNull] ProofParser.VarContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSort([NotNull] ProofParser.SortContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSort([NotNull] ProofParser.SortContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.forall"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterForall([NotNull] ProofParser.ForallContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.forall"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitForall([NotNull] ProofParser.ForallContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.fixed"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterFixed([NotNull] ProofParser.FixedContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.fixed"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitFixed([NotNull] ProofParser.FixedContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.eq_var_def"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterEq_var_def([NotNull] ProofParser.Eq_var_defContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.eq_var_def"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitEq_var_def([NotNull] ProofParser.Eq_var_defContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterEq([NotNull] ProofParser.EqContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitEq([NotNull] ProofParser.EqContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMytree([NotNull] ProofParser.MytreeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMytree([NotNull] ProofParser.MytreeContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeLeaf([NotNull] ProofParser.TreeLeafContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeLeaf([NotNull] ProofParser.TreeLeafContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="ProofParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeNode([NotNull] ProofParser.TreeNodeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="ProofParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeNode([NotNull] ProofParser.TreeNodeContext context);
+}
+} // namespace Eingabeverwaltung.Parser.Proof_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofParser.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofParser.cs
new file mode 100644
index 0000000000000000000000000000000000000000..78b1d1f5e91b6b47a469f82be9e03ec683c84028
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Proof_Parser/ProofParser.cs
@@ -0,0 +1,1940 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Proof.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Proof_Parser {
+using System;
+using System.IO;
+using System.Text;
+using System.Diagnostics;
+using System.Collections.Generic;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using Antlr4.Runtime.Tree;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class ProofParser : Parser {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, T__13=14, T__14=15, T__15=16, T__16=17, 
+		T__17=18, T__18=19, T__19=20, T__20=21, T__21=22, T__22=23, T__23=24, 
+		T__24=25, BEZ=26, NAT=27, WHITESPACE=28, NEWLINE=29;
+	public const int
+		RULE_proof = 0, RULE_mainProof = 1, RULE_lemma = 2, RULE_lemmaDef = 3, 
+		RULE_singleProof = 4, RULE_proof_end = 5, RULE_induction = 6, RULE_ind_var = 7, 
+		RULE_ind_basis = 8, RULE_ind_step = 9, RULE_ind_case = 10, RULE_ind_hyp = 11, 
+		RULE_transformation = 12, RULE_start_tree = 13, RULE_transformation_step = 14, 
+		RULE_axiom = 15, RULE_direction = 16, RULE_termpart = 17, RULE_subst = 18, 
+		RULE_sub = 19, RULE_result_tree = 20, RULE_var = 21, RULE_sort = 22, RULE_forall = 23, 
+		RULE_fixed = 24, RULE_eq_var_def = 25, RULE_eq = 26, RULE_mytree = 27, 
+		RULE_treeLeaf = 28, RULE_treeNode = 29;
+	public static readonly string[] ruleNames = {
+		"proof", "mainProof", "lemma", "lemmaDef", "singleProof", "proof_end", 
+		"induction", "ind_var", "ind_basis", "ind_step", "ind_case", "ind_hyp", 
+		"transformation", "start_tree", "transformation_step", "axiom", "direction", 
+		"termpart", "subst", "sub", "result_tree", "var", "sort", "forall", "fixed", 
+		"eq_var_def", "eq", "mytree", "treeLeaf", "treeNode"
+	};
+
+	private static readonly string[] _LiteralNames = {
+		null, "'proof'", "'lemma'", "':'", "'q.e.d.'", "'w.z.b.w.'", "'Q.E.D.'", 
+		"'W.Z.B.W.'", "'induction'", "'IA'", "'IS'", "'zu zeigen:'", "'IH'", "'{'", 
+		"','", "'}'", "'='", "'lr'", "'rl'", "'['", "']'", "'/'", "'forall'", 
+		"'fixed'", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "Proof.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static ProofParser() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+
+		public ProofParser(ITokenStream input) : this(input, Console.Out, Console.Error) { }
+
+		public ProofParser(ITokenStream input, TextWriter output, TextWriter errorOutput)
+		: base(input, output, errorOutput)
+	{
+		Interpreter = new ParserATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	public partial class ProofContext : ParserRuleContext {
+		public MainProofContext mainProof() {
+			return GetRuleContext<MainProofContext>(0);
+		}
+		public ITerminalNode Eof() { return GetToken(ProofParser.Eof, 0); }
+		public LemmaContext[] lemma() {
+			return GetRuleContexts<LemmaContext>();
+		}
+		public LemmaContext lemma(int i) {
+			return GetRuleContext<LemmaContext>(i);
+		}
+		public ProofContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_proof; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterProof(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitProof(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public ProofContext proof() {
+		ProofContext _localctx = new ProofContext(Context, State);
+		EnterRule(_localctx, 0, RULE_proof);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 63;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__1) {
+				{
+				{
+				State = 60; lemma();
+				}
+				}
+				State = 65;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			State = 66; mainProof();
+			State = 70;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__1) {
+				{
+				{
+				State = 67; lemma();
+				}
+				}
+				State = 72;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			State = 73; Match(Eof);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MainProofContext : ParserRuleContext {
+		public SingleProofContext singleProof() {
+			return GetRuleContext<SingleProofContext>(0);
+		}
+		public Proof_endContext proof_end() {
+			return GetRuleContext<Proof_endContext>(0);
+		}
+		public MainProofContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_mainProof; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterMainProof(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitMainProof(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MainProofContext mainProof() {
+		MainProofContext _localctx = new MainProofContext(Context, State);
+		EnterRule(_localctx, 2, RULE_mainProof);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 75; Match(T__0);
+			State = 76; singleProof();
+			State = 78;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if ((((_la) & ~0x3f) == 0 && ((1L << _la) & ((1L << T__3) | (1L << T__4) | (1L << T__5) | (1L << T__6))) != 0)) {
+				{
+				State = 77; proof_end();
+				}
+			}
+
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class LemmaContext : ParserRuleContext {
+		public LemmaDefContext lemmaDef() {
+			return GetRuleContext<LemmaDefContext>(0);
+		}
+		public SingleProofContext singleProof() {
+			return GetRuleContext<SingleProofContext>(0);
+		}
+		public LemmaContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_lemma; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterLemma(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitLemma(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public LemmaContext lemma() {
+		LemmaContext _localctx = new LemmaContext(Context, State);
+		EnterRule(_localctx, 4, RULE_lemma);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 80; lemmaDef();
+			State = 81; singleProof();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class LemmaDefContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public LemmaDefContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_lemmaDef; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterLemmaDef(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitLemmaDef(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public LemmaDefContext lemmaDef() {
+		LemmaDefContext _localctx = new LemmaDefContext(Context, State);
+		EnterRule(_localctx, 6, RULE_lemmaDef);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 83; Match(T__1);
+			State = 84; Match(BEZ);
+			State = 85; Match(T__2);
+			State = 86; eq();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SingleProofContext : ParserRuleContext {
+		public InductionContext induction() {
+			return GetRuleContext<InductionContext>(0);
+		}
+		public TransformationContext transformation() {
+			return GetRuleContext<TransformationContext>(0);
+		}
+		public SingleProofContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_singleProof; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterSingleProof(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitSingleProof(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SingleProofContext singleProof() {
+		SingleProofContext _localctx = new SingleProofContext(Context, State);
+		EnterRule(_localctx, 8, RULE_singleProof);
+		try {
+			State = 90;
+			ErrorHandler.Sync(this);
+			switch (TokenStream.LA(1)) {
+			case T__7:
+			case T__8:
+				EnterOuterAlt(_localctx, 1);
+				{
+				State = 88; induction();
+				}
+				break;
+			case BEZ:
+				EnterOuterAlt(_localctx, 2);
+				{
+				State = 89; transformation();
+				}
+				break;
+			default:
+				throw new NoViableAltException(this);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Proof_endContext : ParserRuleContext {
+		public Proof_endContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_proof_end; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterProof_end(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitProof_end(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Proof_endContext proof_end() {
+		Proof_endContext _localctx = new Proof_endContext(Context, State);
+		EnterRule(_localctx, 10, RULE_proof_end);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 92;
+			_la = TokenStream.LA(1);
+			if ( !((((_la) & ~0x3f) == 0 && ((1L << _la) & ((1L << T__3) | (1L << T__4) | (1L << T__5) | (1L << T__6))) != 0)) ) {
+			ErrorHandler.RecoverInline(this);
+			}
+			else {
+				ErrorHandler.ReportMatch(this);
+			    Consume();
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class InductionContext : ParserRuleContext {
+		public Ind_varContext ind_var() {
+			return GetRuleContext<Ind_varContext>(0);
+		}
+		public Ind_basisContext[] ind_basis() {
+			return GetRuleContexts<Ind_basisContext>();
+		}
+		public Ind_basisContext ind_basis(int i) {
+			return GetRuleContext<Ind_basisContext>(i);
+		}
+		public Ind_hypContext[] ind_hyp() {
+			return GetRuleContexts<Ind_hypContext>();
+		}
+		public Ind_hypContext ind_hyp(int i) {
+			return GetRuleContext<Ind_hypContext>(i);
+		}
+		public Ind_stepContext[] ind_step() {
+			return GetRuleContexts<Ind_stepContext>();
+		}
+		public Ind_stepContext ind_step(int i) {
+			return GetRuleContext<Ind_stepContext>(i);
+		}
+		public InductionContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_induction; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInduction(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInduction(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public InductionContext induction() {
+		InductionContext _localctx = new InductionContext(Context, State);
+		EnterRule(_localctx, 12, RULE_induction);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 95;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__7) {
+				{
+				State = 94; ind_var();
+				}
+			}
+
+			State = 98;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 97; ind_basis();
+				}
+				}
+				State = 100;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==T__8 );
+			State = 103;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 102; ind_hyp();
+				}
+				}
+				State = 105;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==T__11 );
+			State = 110;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__9) {
+				{
+				{
+				State = 107; ind_step();
+				}
+				}
+				State = 112;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_varContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public Ind_varContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_var; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInd_var(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInd_var(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_varContext ind_var() {
+		Ind_varContext _localctx = new Ind_varContext(Context, State);
+		EnterRule(_localctx, 14, RULE_ind_var);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 113; Match(T__7);
+			State = 114; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_basisContext : ParserRuleContext {
+		public Ind_caseContext ind_case() {
+			return GetRuleContext<Ind_caseContext>(0);
+		}
+		public TransformationContext transformation() {
+			return GetRuleContext<TransformationContext>(0);
+		}
+		public Ind_basisContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_basis; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInd_basis(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInd_basis(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_basisContext ind_basis() {
+		Ind_basisContext _localctx = new Ind_basisContext(Context, State);
+		EnterRule(_localctx, 16, RULE_ind_basis);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 116; Match(T__8);
+			State = 118;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__2) {
+				{
+				State = 117; Match(T__2);
+				}
+			}
+
+			State = 120; ind_case();
+			State = 121; transformation();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_stepContext : ParserRuleContext {
+		public Ind_caseContext ind_case() {
+			return GetRuleContext<Ind_caseContext>(0);
+		}
+		public TransformationContext transformation() {
+			return GetRuleContext<TransformationContext>(0);
+		}
+		public Ind_stepContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_step; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInd_step(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInd_step(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_stepContext ind_step() {
+		Ind_stepContext _localctx = new Ind_stepContext(Context, State);
+		EnterRule(_localctx, 18, RULE_ind_step);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 123; Match(T__9);
+			State = 125;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__2) {
+				{
+				State = 124; Match(T__2);
+				}
+			}
+
+			State = 127; ind_case();
+			State = 128; transformation();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_caseContext : ParserRuleContext {
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public Ind_caseContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_case; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInd_case(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInd_case(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_caseContext ind_case() {
+		Ind_caseContext _localctx = new Ind_caseContext(Context, State);
+		EnterRule(_localctx, 20, RULE_ind_case);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 130; Match(T__10);
+			State = 131; eq();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_hypContext : ParserRuleContext {
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public Ind_hypContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_hyp; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterInd_hyp(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitInd_hyp(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_hypContext ind_hyp() {
+		Ind_hypContext _localctx = new Ind_hypContext(Context, State);
+		EnterRule(_localctx, 22, RULE_ind_hyp);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 133; Match(T__11);
+			State = 135;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__2) {
+				{
+				State = 134; Match(T__2);
+				}
+			}
+
+			State = 141;
+			ErrorHandler.Sync(this);
+			switch ( Interpreter.AdaptivePredict(TokenStream,12,Context) ) {
+			case 1:
+				{
+				State = 137; Match(BEZ);
+				State = 139;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				if (_la==T__2) {
+					{
+					State = 138; Match(T__2);
+					}
+				}
+
+				}
+				break;
+			}
+			State = 143; eq();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TransformationContext : ParserRuleContext {
+		public Start_treeContext start_tree() {
+			return GetRuleContext<Start_treeContext>(0);
+		}
+		public Transformation_stepContext[] transformation_step() {
+			return GetRuleContexts<Transformation_stepContext>();
+		}
+		public Transformation_stepContext transformation_step(int i) {
+			return GetRuleContext<Transformation_stepContext>(i);
+		}
+		public TransformationContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_transformation; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterTransformation(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitTransformation(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TransformationContext transformation() {
+		TransformationContext _localctx = new TransformationContext(Context, State);
+		EnterRule(_localctx, 24, RULE_transformation);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 145; start_tree();
+			State = 147;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 146; transformation_step();
+				}
+				}
+				State = 149;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==T__12 );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Start_treeContext : ParserRuleContext {
+		public MytreeContext mytree() {
+			return GetRuleContext<MytreeContext>(0);
+		}
+		public Start_treeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_start_tree; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterStart_tree(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitStart_tree(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Start_treeContext start_tree() {
+		Start_treeContext _localctx = new Start_treeContext(Context, State);
+		EnterRule(_localctx, 26, RULE_start_tree);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 151; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Transformation_stepContext : ParserRuleContext {
+		public AxiomContext axiom() {
+			return GetRuleContext<AxiomContext>(0);
+		}
+		public DirectionContext direction() {
+			return GetRuleContext<DirectionContext>(0);
+		}
+		public TermpartContext termpart() {
+			return GetRuleContext<TermpartContext>(0);
+		}
+		public SubstContext subst() {
+			return GetRuleContext<SubstContext>(0);
+		}
+		public Result_treeContext result_tree() {
+			return GetRuleContext<Result_treeContext>(0);
+		}
+		public Transformation_stepContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_transformation_step; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterTransformation_step(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitTransformation_step(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Transformation_stepContext transformation_step() {
+		Transformation_stepContext _localctx = new Transformation_stepContext(Context, State);
+		EnterRule(_localctx, 28, RULE_transformation_step);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 153; Match(T__12);
+			State = 154; axiom();
+			State = 155; Match(T__13);
+			State = 156; direction();
+			State = 157; Match(T__13);
+			State = 158; termpart();
+			State = 159; Match(T__13);
+			State = 160; subst();
+			State = 161; Match(T__14);
+			State = 162; Match(T__15);
+			State = 163; result_tree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class AxiomContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public AxiomContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_axiom; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterAxiom(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitAxiom(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public AxiomContext axiom() {
+		AxiomContext _localctx = new AxiomContext(Context, State);
+		EnterRule(_localctx, 30, RULE_axiom);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 165;
+			_la = TokenStream.LA(1);
+			if ( !(_la==T__11 || _la==BEZ) ) {
+			ErrorHandler.RecoverInline(this);
+			}
+			else {
+				ErrorHandler.ReportMatch(this);
+			    Consume();
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class DirectionContext : ParserRuleContext {
+		public DirectionContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_direction; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterDirection(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitDirection(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public DirectionContext direction() {
+		DirectionContext _localctx = new DirectionContext(Context, State);
+		EnterRule(_localctx, 32, RULE_direction);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 167;
+			_la = TokenStream.LA(1);
+			if ( !(_la==T__16 || _la==T__17) ) {
+			ErrorHandler.RecoverInline(this);
+			}
+			else {
+				ErrorHandler.ReportMatch(this);
+			    Consume();
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TermpartContext : ParserRuleContext {
+		public MytreeContext mytree() {
+			return GetRuleContext<MytreeContext>(0);
+		}
+		public TermpartContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_termpart; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterTermpart(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitTermpart(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TermpartContext termpart() {
+		TermpartContext _localctx = new TermpartContext(Context, State);
+		EnterRule(_localctx, 34, RULE_termpart);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 169; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SubstContext : ParserRuleContext {
+		public SubContext[] sub() {
+			return GetRuleContexts<SubContext>();
+		}
+		public SubContext sub(int i) {
+			return GetRuleContext<SubContext>(i);
+		}
+		public SubstContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_subst; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterSubst(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitSubst(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SubstContext subst() {
+		SubstContext _localctx = new SubstContext(Context, State);
+		EnterRule(_localctx, 36, RULE_subst);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 171; Match(T__18);
+			State = 180;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==BEZ) {
+				{
+				State = 172; sub();
+				State = 177;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				while (_la==T__13) {
+					{
+					{
+					State = 173; Match(T__13);
+					State = 174; sub();
+					}
+					}
+					State = 179;
+					ErrorHandler.Sync(this);
+					_la = TokenStream.LA(1);
+				}
+				}
+			}
+
+			State = 182; Match(T__19);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SubContext : ParserRuleContext {
+		public MytreeContext mytree() {
+			return GetRuleContext<MytreeContext>(0);
+		}
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public SubContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_sub; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterSub(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitSub(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SubContext sub() {
+		SubContext _localctx = new SubContext(Context, State);
+		EnterRule(_localctx, 38, RULE_sub);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 184; mytree();
+			State = 185; Match(T__20);
+			State = 186; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Result_treeContext : ParserRuleContext {
+		public MytreeContext mytree() {
+			return GetRuleContext<MytreeContext>(0);
+		}
+		public Result_treeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_result_tree; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterResult_tree(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitResult_tree(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Result_treeContext result_tree() {
+		Result_treeContext _localctx = new Result_treeContext(Context, State);
+		EnterRule(_localctx, 40, RULE_result_tree);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 188; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class VarContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public SortContext sort() {
+			return GetRuleContext<SortContext>(0);
+		}
+		public VarContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_var; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterVar(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitVar(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public VarContext var() {
+		VarContext _localctx = new VarContext(Context, State);
+		EnterRule(_localctx, 42, RULE_var);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 190; Match(BEZ);
+			State = 191; Match(T__2);
+			State = 192; sort();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SortContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public SortContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_sort; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterSort(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitSort(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SortContext sort() {
+		SortContext _localctx = new SortContext(Context, State);
+		EnterRule(_localctx, 44, RULE_sort);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 194; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class ForallContext : ParserRuleContext {
+		public VarContext[] var() {
+			return GetRuleContexts<VarContext>();
+		}
+		public VarContext var(int i) {
+			return GetRuleContext<VarContext>(i);
+		}
+		public ForallContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_forall; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterForall(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitForall(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public ForallContext forall() {
+		ForallContext _localctx = new ForallContext(Context, State);
+		EnterRule(_localctx, 46, RULE_forall);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 196; Match(T__21);
+			State = 197; var();
+			State = 202;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__13) {
+				{
+				{
+				State = 198; Match(T__13);
+				State = 199; var();
+				}
+				}
+				State = 204;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class FixedContext : ParserRuleContext {
+		public VarContext[] var() {
+			return GetRuleContexts<VarContext>();
+		}
+		public VarContext var(int i) {
+			return GetRuleContext<VarContext>(i);
+		}
+		public FixedContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_fixed; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterFixed(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitFixed(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public FixedContext @fixed() {
+		FixedContext _localctx = new FixedContext(Context, State);
+		EnterRule(_localctx, 48, RULE_fixed);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 205; Match(T__22);
+			State = 206; var();
+			State = 211;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__13) {
+				{
+				{
+				State = 207; Match(T__13);
+				State = 208; var();
+				}
+				}
+				State = 213;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Eq_var_defContext : ParserRuleContext {
+		public FixedContext @fixed() {
+			return GetRuleContext<FixedContext>(0);
+		}
+		public ForallContext forall() {
+			return GetRuleContext<ForallContext>(0);
+		}
+		public Eq_var_defContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_eq_var_def; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterEq_var_def(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitEq_var_def(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Eq_var_defContext eq_var_def() {
+		Eq_var_defContext _localctx = new Eq_var_defContext(Context, State);
+		EnterRule(_localctx, 50, RULE_eq_var_def);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 230;
+			ErrorHandler.Sync(this);
+			switch (TokenStream.LA(1)) {
+			case T__22:
+				{
+				{
+				State = 214; @fixed();
+				State = 215; Match(T__2);
+				}
+				State = 220;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				if (_la==T__21) {
+					{
+					State = 217; forall();
+					State = 218; Match(T__2);
+					}
+				}
+
+				}
+				break;
+			case T__21:
+				{
+				{
+				State = 222; forall();
+				State = 223; Match(T__2);
+				}
+				State = 228;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				if (_la==T__22) {
+					{
+					State = 225; @fixed();
+					State = 226; Match(T__2);
+					}
+				}
+
+				}
+				break;
+			case BEZ:
+				break;
+			default:
+				break;
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class EqContext : ParserRuleContext {
+		public Eq_var_defContext eq_var_def() {
+			return GetRuleContext<Eq_var_defContext>(0);
+		}
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public EqContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_eq; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterEq(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitEq(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public EqContext eq() {
+		EqContext _localctx = new EqContext(Context, State);
+		EnterRule(_localctx, 52, RULE_eq);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 232; eq_var_def();
+			State = 233; mytree();
+			State = 234; Match(T__15);
+			State = 235; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MytreeContext : ParserRuleContext {
+		public TreeLeafContext treeLeaf() {
+			return GetRuleContext<TreeLeafContext>(0);
+		}
+		public TreeNodeContext treeNode() {
+			return GetRuleContext<TreeNodeContext>(0);
+		}
+		public MytreeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_mytree; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterMytree(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitMytree(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MytreeContext mytree() {
+		MytreeContext _localctx = new MytreeContext(Context, State);
+		EnterRule(_localctx, 54, RULE_mytree);
+		try {
+			State = 239;
+			ErrorHandler.Sync(this);
+			switch ( Interpreter.AdaptivePredict(TokenStream,21,Context) ) {
+			case 1:
+				EnterOuterAlt(_localctx, 1);
+				{
+				State = 237; treeLeaf();
+				}
+				break;
+			case 2:
+				EnterOuterAlt(_localctx, 2);
+				{
+				State = 238; treeNode();
+				}
+				break;
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeLeafContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public TreeLeafContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeLeaf; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterTreeLeaf(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitTreeLeaf(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeLeafContext treeLeaf() {
+		TreeLeafContext _localctx = new TreeLeafContext(Context, State);
+		EnterRule(_localctx, 56, RULE_treeLeaf);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 241; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeNodeContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(ProofParser.BEZ, 0); }
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public TreeNodeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeNode; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.EnterTreeNode(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			IProofListener typedListener = listener as IProofListener;
+			if (typedListener != null) typedListener.ExitTreeNode(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeNodeContext treeNode() {
+		TreeNodeContext _localctx = new TreeNodeContext(Context, State);
+		EnterRule(_localctx, 58, RULE_treeNode);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 243; Match(BEZ);
+			State = 244; Match(T__23);
+			State = 245; mytree();
+			State = 250;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__13) {
+				{
+				{
+				State = 246; Match(T__13);
+				State = 247; mytree();
+				}
+				}
+				State = 252;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			State = 253; Match(T__24);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x3', '\x1F', '\x102', '\x4', '\x2', '\t', '\x2', '\x4', '\x3', 
+		'\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', '\x5', '\x4', 
+		'\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', '\t', '\b', 
+		'\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', '\t', '\v', 
+		'\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', '\t', 
+		'\xE', '\x4', '\xF', '\t', '\xF', '\x4', '\x10', '\t', '\x10', '\x4', 
+		'\x11', '\t', '\x11', '\x4', '\x12', '\t', '\x12', '\x4', '\x13', '\t', 
+		'\x13', '\x4', '\x14', '\t', '\x14', '\x4', '\x15', '\t', '\x15', '\x4', 
+		'\x16', '\t', '\x16', '\x4', '\x17', '\t', '\x17', '\x4', '\x18', '\t', 
+		'\x18', '\x4', '\x19', '\t', '\x19', '\x4', '\x1A', '\t', '\x1A', '\x4', 
+		'\x1B', '\t', '\x1B', '\x4', '\x1C', '\t', '\x1C', '\x4', '\x1D', '\t', 
+		'\x1D', '\x4', '\x1E', '\t', '\x1E', '\x4', '\x1F', '\t', '\x1F', '\x3', 
+		'\x2', '\a', '\x2', '@', '\n', '\x2', '\f', '\x2', '\xE', '\x2', '\x43', 
+		'\v', '\x2', '\x3', '\x2', '\x3', '\x2', '\a', '\x2', 'G', '\n', '\x2', 
+		'\f', '\x2', '\xE', '\x2', 'J', '\v', '\x2', '\x3', '\x2', '\x3', '\x2', 
+		'\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x5', '\x3', 'Q', '\n', '\x3', 
+		'\x3', '\x4', '\x3', '\x4', '\x3', '\x4', '\x3', '\x5', '\x3', '\x5', 
+		'\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x6', '\x3', '\x6', 
+		'\x5', '\x6', ']', '\n', '\x6', '\x3', '\a', '\x3', '\a', '\x3', '\b', 
+		'\x5', '\b', '\x62', '\n', '\b', '\x3', '\b', '\x6', '\b', '\x65', '\n', 
+		'\b', '\r', '\b', '\xE', '\b', '\x66', '\x3', '\b', '\x6', '\b', 'j', 
+		'\n', '\b', '\r', '\b', '\xE', '\b', 'k', '\x3', '\b', '\a', '\b', 'o', 
+		'\n', '\b', '\f', '\b', '\xE', '\b', 'r', '\v', '\b', '\x3', '\t', '\x3', 
+		'\t', '\x3', '\t', '\x3', '\n', '\x3', '\n', '\x5', '\n', 'y', '\n', '\n', 
+		'\x3', '\n', '\x3', '\n', '\x3', '\n', '\x3', '\v', '\x3', '\v', '\x5', 
+		'\v', '\x80', '\n', '\v', '\x3', '\v', '\x3', '\v', '\x3', '\v', '\x3', 
+		'\f', '\x3', '\f', '\x3', '\f', '\x3', '\r', '\x3', '\r', '\x5', '\r', 
+		'\x8A', '\n', '\r', '\x3', '\r', '\x3', '\r', '\x5', '\r', '\x8E', '\n', 
+		'\r', '\x5', '\r', '\x90', '\n', '\r', '\x3', '\r', '\x3', '\r', '\x3', 
+		'\xE', '\x3', '\xE', '\x6', '\xE', '\x96', '\n', '\xE', '\r', '\xE', '\xE', 
+		'\xE', '\x97', '\x3', '\xF', '\x3', '\xF', '\x3', '\x10', '\x3', '\x10', 
+		'\x3', '\x10', '\x3', '\x10', '\x3', '\x10', '\x3', '\x10', '\x3', '\x10', 
+		'\x3', '\x10', '\x3', '\x10', '\x3', '\x10', '\x3', '\x10', '\x3', '\x10', 
+		'\x3', '\x11', '\x3', '\x11', '\x3', '\x12', '\x3', '\x12', '\x3', '\x13', 
+		'\x3', '\x13', '\x3', '\x14', '\x3', '\x14', '\x3', '\x14', '\x3', '\x14', 
+		'\a', '\x14', '\xB2', '\n', '\x14', '\f', '\x14', '\xE', '\x14', '\xB5', 
+		'\v', '\x14', '\x5', '\x14', '\xB7', '\n', '\x14', '\x3', '\x14', '\x3', 
+		'\x14', '\x3', '\x15', '\x3', '\x15', '\x3', '\x15', '\x3', '\x15', '\x3', 
+		'\x16', '\x3', '\x16', '\x3', '\x17', '\x3', '\x17', '\x3', '\x17', '\x3', 
+		'\x17', '\x3', '\x18', '\x3', '\x18', '\x3', '\x19', '\x3', '\x19', '\x3', 
+		'\x19', '\x3', '\x19', '\a', '\x19', '\xCB', '\n', '\x19', '\f', '\x19', 
+		'\xE', '\x19', '\xCE', '\v', '\x19', '\x3', '\x1A', '\x3', '\x1A', '\x3', 
+		'\x1A', '\x3', '\x1A', '\a', '\x1A', '\xD4', '\n', '\x1A', '\f', '\x1A', 
+		'\xE', '\x1A', '\xD7', '\v', '\x1A', '\x3', '\x1B', '\x3', '\x1B', '\x3', 
+		'\x1B', '\x3', '\x1B', '\x3', '\x1B', '\x3', '\x1B', '\x5', '\x1B', '\xDF', 
+		'\n', '\x1B', '\x3', '\x1B', '\x3', '\x1B', '\x3', '\x1B', '\x3', '\x1B', 
+		'\x3', '\x1B', '\x3', '\x1B', '\x5', '\x1B', '\xE7', '\n', '\x1B', '\x5', 
+		'\x1B', '\xE9', '\n', '\x1B', '\x3', '\x1C', '\x3', '\x1C', '\x3', '\x1C', 
+		'\x3', '\x1C', '\x3', '\x1C', '\x3', '\x1D', '\x3', '\x1D', '\x5', '\x1D', 
+		'\xF2', '\n', '\x1D', '\x3', '\x1E', '\x3', '\x1E', '\x3', '\x1F', '\x3', 
+		'\x1F', '\x3', '\x1F', '\x3', '\x1F', '\x3', '\x1F', '\a', '\x1F', '\xFB', 
+		'\n', '\x1F', '\f', '\x1F', '\xE', '\x1F', '\xFE', '\v', '\x1F', '\x3', 
+		'\x1F', '\x3', '\x1F', '\x3', '\x1F', '\x2', '\x2', ' ', '\x2', '\x4', 
+		'\x6', '\b', '\n', '\f', '\xE', '\x10', '\x12', '\x14', '\x16', '\x18', 
+		'\x1A', '\x1C', '\x1E', ' ', '\"', '$', '&', '(', '*', ',', '.', '\x30', 
+		'\x32', '\x34', '\x36', '\x38', ':', '<', '\x2', '\x5', '\x3', '\x2', 
+		'\x6', '\t', '\x4', '\x2', '\xE', '\xE', '\x1C', '\x1C', '\x3', '\x2', 
+		'\x13', '\x14', '\x2', '\xFB', '\x2', '\x41', '\x3', '\x2', '\x2', '\x2', 
+		'\x4', 'M', '\x3', '\x2', '\x2', '\x2', '\x6', 'R', '\x3', '\x2', '\x2', 
+		'\x2', '\b', 'U', '\x3', '\x2', '\x2', '\x2', '\n', '\\', '\x3', '\x2', 
+		'\x2', '\x2', '\f', '^', '\x3', '\x2', '\x2', '\x2', '\xE', '\x61', '\x3', 
+		'\x2', '\x2', '\x2', '\x10', 's', '\x3', '\x2', '\x2', '\x2', '\x12', 
+		'v', '\x3', '\x2', '\x2', '\x2', '\x14', '}', '\x3', '\x2', '\x2', '\x2', 
+		'\x16', '\x84', '\x3', '\x2', '\x2', '\x2', '\x18', '\x87', '\x3', '\x2', 
+		'\x2', '\x2', '\x1A', '\x93', '\x3', '\x2', '\x2', '\x2', '\x1C', '\x99', 
+		'\x3', '\x2', '\x2', '\x2', '\x1E', '\x9B', '\x3', '\x2', '\x2', '\x2', 
+		' ', '\xA7', '\x3', '\x2', '\x2', '\x2', '\"', '\xA9', '\x3', '\x2', '\x2', 
+		'\x2', '$', '\xAB', '\x3', '\x2', '\x2', '\x2', '&', '\xAD', '\x3', '\x2', 
+		'\x2', '\x2', '(', '\xBA', '\x3', '\x2', '\x2', '\x2', '*', '\xBE', '\x3', 
+		'\x2', '\x2', '\x2', ',', '\xC0', '\x3', '\x2', '\x2', '\x2', '.', '\xC4', 
+		'\x3', '\x2', '\x2', '\x2', '\x30', '\xC6', '\x3', '\x2', '\x2', '\x2', 
+		'\x32', '\xCF', '\x3', '\x2', '\x2', '\x2', '\x34', '\xE8', '\x3', '\x2', 
+		'\x2', '\x2', '\x36', '\xEA', '\x3', '\x2', '\x2', '\x2', '\x38', '\xF1', 
+		'\x3', '\x2', '\x2', '\x2', ':', '\xF3', '\x3', '\x2', '\x2', '\x2', '<', 
+		'\xF5', '\x3', '\x2', '\x2', '\x2', '>', '@', '\x5', '\x6', '\x4', '\x2', 
+		'?', '>', '\x3', '\x2', '\x2', '\x2', '@', '\x43', '\x3', '\x2', '\x2', 
+		'\x2', '\x41', '?', '\x3', '\x2', '\x2', '\x2', '\x41', '\x42', '\x3', 
+		'\x2', '\x2', '\x2', '\x42', '\x44', '\x3', '\x2', '\x2', '\x2', '\x43', 
+		'\x41', '\x3', '\x2', '\x2', '\x2', '\x44', 'H', '\x5', '\x4', '\x3', 
+		'\x2', '\x45', 'G', '\x5', '\x6', '\x4', '\x2', '\x46', '\x45', '\x3', 
+		'\x2', '\x2', '\x2', 'G', 'J', '\x3', '\x2', '\x2', '\x2', 'H', '\x46', 
+		'\x3', '\x2', '\x2', '\x2', 'H', 'I', '\x3', '\x2', '\x2', '\x2', 'I', 
+		'K', '\x3', '\x2', '\x2', '\x2', 'J', 'H', '\x3', '\x2', '\x2', '\x2', 
+		'K', 'L', '\a', '\x2', '\x2', '\x3', 'L', '\x3', '\x3', '\x2', '\x2', 
+		'\x2', 'M', 'N', '\a', '\x3', '\x2', '\x2', 'N', 'P', '\x5', '\n', '\x6', 
+		'\x2', 'O', 'Q', '\x5', '\f', '\a', '\x2', 'P', 'O', '\x3', '\x2', '\x2', 
+		'\x2', 'P', 'Q', '\x3', '\x2', '\x2', '\x2', 'Q', '\x5', '\x3', '\x2', 
+		'\x2', '\x2', 'R', 'S', '\x5', '\b', '\x5', '\x2', 'S', 'T', '\x5', '\n', 
+		'\x6', '\x2', 'T', '\a', '\x3', '\x2', '\x2', '\x2', 'U', 'V', '\a', '\x4', 
+		'\x2', '\x2', 'V', 'W', '\a', '\x1C', '\x2', '\x2', 'W', 'X', '\a', '\x5', 
+		'\x2', '\x2', 'X', 'Y', '\x5', '\x36', '\x1C', '\x2', 'Y', '\t', '\x3', 
+		'\x2', '\x2', '\x2', 'Z', ']', '\x5', '\xE', '\b', '\x2', '[', ']', '\x5', 
+		'\x1A', '\xE', '\x2', '\\', 'Z', '\x3', '\x2', '\x2', '\x2', '\\', '[', 
+		'\x3', '\x2', '\x2', '\x2', ']', '\v', '\x3', '\x2', '\x2', '\x2', '^', 
+		'_', '\t', '\x2', '\x2', '\x2', '_', '\r', '\x3', '\x2', '\x2', '\x2', 
+		'`', '\x62', '\x5', '\x10', '\t', '\x2', '\x61', '`', '\x3', '\x2', '\x2', 
+		'\x2', '\x61', '\x62', '\x3', '\x2', '\x2', '\x2', '\x62', '\x64', '\x3', 
+		'\x2', '\x2', '\x2', '\x63', '\x65', '\x5', '\x12', '\n', '\x2', '\x64', 
+		'\x63', '\x3', '\x2', '\x2', '\x2', '\x65', '\x66', '\x3', '\x2', '\x2', 
+		'\x2', '\x66', '\x64', '\x3', '\x2', '\x2', '\x2', '\x66', 'g', '\x3', 
+		'\x2', '\x2', '\x2', 'g', 'i', '\x3', '\x2', '\x2', '\x2', 'h', 'j', '\x5', 
+		'\x18', '\r', '\x2', 'i', 'h', '\x3', '\x2', '\x2', '\x2', 'j', 'k', '\x3', 
+		'\x2', '\x2', '\x2', 'k', 'i', '\x3', '\x2', '\x2', '\x2', 'k', 'l', '\x3', 
+		'\x2', '\x2', '\x2', 'l', 'p', '\x3', '\x2', '\x2', '\x2', 'm', 'o', '\x5', 
+		'\x14', '\v', '\x2', 'n', 'm', '\x3', '\x2', '\x2', '\x2', 'o', 'r', '\x3', 
+		'\x2', '\x2', '\x2', 'p', 'n', '\x3', '\x2', '\x2', '\x2', 'p', 'q', '\x3', 
+		'\x2', '\x2', '\x2', 'q', '\xF', '\x3', '\x2', '\x2', '\x2', 'r', 'p', 
+		'\x3', '\x2', '\x2', '\x2', 's', 't', '\a', '\n', '\x2', '\x2', 't', 'u', 
+		'\a', '\x1C', '\x2', '\x2', 'u', '\x11', '\x3', '\x2', '\x2', '\x2', 'v', 
+		'x', '\a', '\v', '\x2', '\x2', 'w', 'y', '\a', '\x5', '\x2', '\x2', 'x', 
+		'w', '\x3', '\x2', '\x2', '\x2', 'x', 'y', '\x3', '\x2', '\x2', '\x2', 
+		'y', 'z', '\x3', '\x2', '\x2', '\x2', 'z', '{', '\x5', '\x16', '\f', '\x2', 
+		'{', '|', '\x5', '\x1A', '\xE', '\x2', '|', '\x13', '\x3', '\x2', '\x2', 
+		'\x2', '}', '\x7F', '\a', '\f', '\x2', '\x2', '~', '\x80', '\a', '\x5', 
+		'\x2', '\x2', '\x7F', '~', '\x3', '\x2', '\x2', '\x2', '\x7F', '\x80', 
+		'\x3', '\x2', '\x2', '\x2', '\x80', '\x81', '\x3', '\x2', '\x2', '\x2', 
+		'\x81', '\x82', '\x5', '\x16', '\f', '\x2', '\x82', '\x83', '\x5', '\x1A', 
+		'\xE', '\x2', '\x83', '\x15', '\x3', '\x2', '\x2', '\x2', '\x84', '\x85', 
+		'\a', '\r', '\x2', '\x2', '\x85', '\x86', '\x5', '\x36', '\x1C', '\x2', 
+		'\x86', '\x17', '\x3', '\x2', '\x2', '\x2', '\x87', '\x89', '\a', '\xE', 
+		'\x2', '\x2', '\x88', '\x8A', '\a', '\x5', '\x2', '\x2', '\x89', '\x88', 
+		'\x3', '\x2', '\x2', '\x2', '\x89', '\x8A', '\x3', '\x2', '\x2', '\x2', 
+		'\x8A', '\x8F', '\x3', '\x2', '\x2', '\x2', '\x8B', '\x8D', '\a', '\x1C', 
+		'\x2', '\x2', '\x8C', '\x8E', '\a', '\x5', '\x2', '\x2', '\x8D', '\x8C', 
+		'\x3', '\x2', '\x2', '\x2', '\x8D', '\x8E', '\x3', '\x2', '\x2', '\x2', 
+		'\x8E', '\x90', '\x3', '\x2', '\x2', '\x2', '\x8F', '\x8B', '\x3', '\x2', 
+		'\x2', '\x2', '\x8F', '\x90', '\x3', '\x2', '\x2', '\x2', '\x90', '\x91', 
+		'\x3', '\x2', '\x2', '\x2', '\x91', '\x92', '\x5', '\x36', '\x1C', '\x2', 
+		'\x92', '\x19', '\x3', '\x2', '\x2', '\x2', '\x93', '\x95', '\x5', '\x1C', 
+		'\xF', '\x2', '\x94', '\x96', '\x5', '\x1E', '\x10', '\x2', '\x95', '\x94', 
+		'\x3', '\x2', '\x2', '\x2', '\x96', '\x97', '\x3', '\x2', '\x2', '\x2', 
+		'\x97', '\x95', '\x3', '\x2', '\x2', '\x2', '\x97', '\x98', '\x3', '\x2', 
+		'\x2', '\x2', '\x98', '\x1B', '\x3', '\x2', '\x2', '\x2', '\x99', '\x9A', 
+		'\x5', '\x38', '\x1D', '\x2', '\x9A', '\x1D', '\x3', '\x2', '\x2', '\x2', 
+		'\x9B', '\x9C', '\a', '\xF', '\x2', '\x2', '\x9C', '\x9D', '\x5', ' ', 
+		'\x11', '\x2', '\x9D', '\x9E', '\a', '\x10', '\x2', '\x2', '\x9E', '\x9F', 
+		'\x5', '\"', '\x12', '\x2', '\x9F', '\xA0', '\a', '\x10', '\x2', '\x2', 
+		'\xA0', '\xA1', '\x5', '$', '\x13', '\x2', '\xA1', '\xA2', '\a', '\x10', 
+		'\x2', '\x2', '\xA2', '\xA3', '\x5', '&', '\x14', '\x2', '\xA3', '\xA4', 
+		'\a', '\x11', '\x2', '\x2', '\xA4', '\xA5', '\a', '\x12', '\x2', '\x2', 
+		'\xA5', '\xA6', '\x5', '*', '\x16', '\x2', '\xA6', '\x1F', '\x3', '\x2', 
+		'\x2', '\x2', '\xA7', '\xA8', '\t', '\x3', '\x2', '\x2', '\xA8', '!', 
+		'\x3', '\x2', '\x2', '\x2', '\xA9', '\xAA', '\t', '\x4', '\x2', '\x2', 
+		'\xAA', '#', '\x3', '\x2', '\x2', '\x2', '\xAB', '\xAC', '\x5', '\x38', 
+		'\x1D', '\x2', '\xAC', '%', '\x3', '\x2', '\x2', '\x2', '\xAD', '\xB6', 
+		'\a', '\x15', '\x2', '\x2', '\xAE', '\xB3', '\x5', '(', '\x15', '\x2', 
+		'\xAF', '\xB0', '\a', '\x10', '\x2', '\x2', '\xB0', '\xB2', '\x5', '(', 
+		'\x15', '\x2', '\xB1', '\xAF', '\x3', '\x2', '\x2', '\x2', '\xB2', '\xB5', 
+		'\x3', '\x2', '\x2', '\x2', '\xB3', '\xB1', '\x3', '\x2', '\x2', '\x2', 
+		'\xB3', '\xB4', '\x3', '\x2', '\x2', '\x2', '\xB4', '\xB7', '\x3', '\x2', 
+		'\x2', '\x2', '\xB5', '\xB3', '\x3', '\x2', '\x2', '\x2', '\xB6', '\xAE', 
+		'\x3', '\x2', '\x2', '\x2', '\xB6', '\xB7', '\x3', '\x2', '\x2', '\x2', 
+		'\xB7', '\xB8', '\x3', '\x2', '\x2', '\x2', '\xB8', '\xB9', '\a', '\x16', 
+		'\x2', '\x2', '\xB9', '\'', '\x3', '\x2', '\x2', '\x2', '\xBA', '\xBB', 
+		'\x5', '\x38', '\x1D', '\x2', '\xBB', '\xBC', '\a', '\x17', '\x2', '\x2', 
+		'\xBC', '\xBD', '\a', '\x1C', '\x2', '\x2', '\xBD', ')', '\x3', '\x2', 
+		'\x2', '\x2', '\xBE', '\xBF', '\x5', '\x38', '\x1D', '\x2', '\xBF', '+', 
+		'\x3', '\x2', '\x2', '\x2', '\xC0', '\xC1', '\a', '\x1C', '\x2', '\x2', 
+		'\xC1', '\xC2', '\a', '\x5', '\x2', '\x2', '\xC2', '\xC3', '\x5', '.', 
+		'\x18', '\x2', '\xC3', '-', '\x3', '\x2', '\x2', '\x2', '\xC4', '\xC5', 
+		'\a', '\x1C', '\x2', '\x2', '\xC5', '/', '\x3', '\x2', '\x2', '\x2', '\xC6', 
+		'\xC7', '\a', '\x18', '\x2', '\x2', '\xC7', '\xCC', '\x5', ',', '\x17', 
+		'\x2', '\xC8', '\xC9', '\a', '\x10', '\x2', '\x2', '\xC9', '\xCB', '\x5', 
+		',', '\x17', '\x2', '\xCA', '\xC8', '\x3', '\x2', '\x2', '\x2', '\xCB', 
+		'\xCE', '\x3', '\x2', '\x2', '\x2', '\xCC', '\xCA', '\x3', '\x2', '\x2', 
+		'\x2', '\xCC', '\xCD', '\x3', '\x2', '\x2', '\x2', '\xCD', '\x31', '\x3', 
+		'\x2', '\x2', '\x2', '\xCE', '\xCC', '\x3', '\x2', '\x2', '\x2', '\xCF', 
+		'\xD0', '\a', '\x19', '\x2', '\x2', '\xD0', '\xD5', '\x5', ',', '\x17', 
+		'\x2', '\xD1', '\xD2', '\a', '\x10', '\x2', '\x2', '\xD2', '\xD4', '\x5', 
+		',', '\x17', '\x2', '\xD3', '\xD1', '\x3', '\x2', '\x2', '\x2', '\xD4', 
+		'\xD7', '\x3', '\x2', '\x2', '\x2', '\xD5', '\xD3', '\x3', '\x2', '\x2', 
+		'\x2', '\xD5', '\xD6', '\x3', '\x2', '\x2', '\x2', '\xD6', '\x33', '\x3', 
+		'\x2', '\x2', '\x2', '\xD7', '\xD5', '\x3', '\x2', '\x2', '\x2', '\xD8', 
+		'\xD9', '\x5', '\x32', '\x1A', '\x2', '\xD9', '\xDA', '\a', '\x5', '\x2', 
+		'\x2', '\xDA', '\xDE', '\x3', '\x2', '\x2', '\x2', '\xDB', '\xDC', '\x5', 
+		'\x30', '\x19', '\x2', '\xDC', '\xDD', '\a', '\x5', '\x2', '\x2', '\xDD', 
+		'\xDF', '\x3', '\x2', '\x2', '\x2', '\xDE', '\xDB', '\x3', '\x2', '\x2', 
+		'\x2', '\xDE', '\xDF', '\x3', '\x2', '\x2', '\x2', '\xDF', '\xE9', '\x3', 
+		'\x2', '\x2', '\x2', '\xE0', '\xE1', '\x5', '\x30', '\x19', '\x2', '\xE1', 
+		'\xE2', '\a', '\x5', '\x2', '\x2', '\xE2', '\xE6', '\x3', '\x2', '\x2', 
+		'\x2', '\xE3', '\xE4', '\x5', '\x32', '\x1A', '\x2', '\xE4', '\xE5', '\a', 
+		'\x5', '\x2', '\x2', '\xE5', '\xE7', '\x3', '\x2', '\x2', '\x2', '\xE6', 
+		'\xE3', '\x3', '\x2', '\x2', '\x2', '\xE6', '\xE7', '\x3', '\x2', '\x2', 
+		'\x2', '\xE7', '\xE9', '\x3', '\x2', '\x2', '\x2', '\xE8', '\xD8', '\x3', 
+		'\x2', '\x2', '\x2', '\xE8', '\xE0', '\x3', '\x2', '\x2', '\x2', '\xE8', 
+		'\xE9', '\x3', '\x2', '\x2', '\x2', '\xE9', '\x35', '\x3', '\x2', '\x2', 
+		'\x2', '\xEA', '\xEB', '\x5', '\x34', '\x1B', '\x2', '\xEB', '\xEC', '\x5', 
+		'\x38', '\x1D', '\x2', '\xEC', '\xED', '\a', '\x12', '\x2', '\x2', '\xED', 
+		'\xEE', '\x5', '\x38', '\x1D', '\x2', '\xEE', '\x37', '\x3', '\x2', '\x2', 
+		'\x2', '\xEF', '\xF2', '\x5', ':', '\x1E', '\x2', '\xF0', '\xF2', '\x5', 
+		'<', '\x1F', '\x2', '\xF1', '\xEF', '\x3', '\x2', '\x2', '\x2', '\xF1', 
+		'\xF0', '\x3', '\x2', '\x2', '\x2', '\xF2', '\x39', '\x3', '\x2', '\x2', 
+		'\x2', '\xF3', '\xF4', '\a', '\x1C', '\x2', '\x2', '\xF4', ';', '\x3', 
+		'\x2', '\x2', '\x2', '\xF5', '\xF6', '\a', '\x1C', '\x2', '\x2', '\xF6', 
+		'\xF7', '\a', '\x1A', '\x2', '\x2', '\xF7', '\xFC', '\x5', '\x38', '\x1D', 
+		'\x2', '\xF8', '\xF9', '\a', '\x10', '\x2', '\x2', '\xF9', '\xFB', '\x5', 
+		'\x38', '\x1D', '\x2', '\xFA', '\xF8', '\x3', '\x2', '\x2', '\x2', '\xFB', 
+		'\xFE', '\x3', '\x2', '\x2', '\x2', '\xFC', '\xFA', '\x3', '\x2', '\x2', 
+		'\x2', '\xFC', '\xFD', '\x3', '\x2', '\x2', '\x2', '\xFD', '\xFF', '\x3', 
+		'\x2', '\x2', '\x2', '\xFE', '\xFC', '\x3', '\x2', '\x2', '\x2', '\xFF', 
+		'\x100', '\a', '\x1B', '\x2', '\x2', '\x100', '=', '\x3', '\x2', '\x2', 
+		'\x2', '\x19', '\x41', 'H', 'P', '\\', '\x61', '\x66', 'k', 'p', 'x', 
+		'\x7F', '\x89', '\x8D', '\x8F', '\x97', '\xB3', '\xB6', '\xCC', '\xD5', 
+		'\xDE', '\xE6', '\xE8', '\xF1', '\xFC',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.Proof_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Antlr.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Antlr.cs
new file mode 100644
index 0000000000000000000000000000000000000000..c32ace9360581b3660115c129f2fbe019148ed65
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Antlr.cs
@@ -0,0 +1,30 @@
+using Eingabeverwaltung.Parser.Task_Parser;
+using Eingabeverwaltung.Metamodell;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+
+namespace Eingabeverwaltung.Parser
+{
+	public static class Task_Antlr
+	{
+		/// <summary>
+		/// Requires a Container with filled ADT
+		/// </summary>
+		/// <param name="Task_input"></param>
+		/// <param name="container"></param>
+		/// <returns></returns>
+		public static void parse(string Task_input, Container container)
+		{
+			ICharStream chars = new AntlrInputStream(Task_input);
+			ITokenSource lexer = new TaskLexer(chars);
+			ITokenStream tokens = new CommonTokenStream(lexer);
+			TaskParser parser = new TaskParser(tokens);
+
+			parser.BuildParseTree = true;
+
+			TaskParser.TaskContext tree = parser.task();
+			ITaskListener adt_Listener = new Task_Listener(container);
+			ParseTreeWalker.Default.Walk(adt_Listener, tree);
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Listener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Listener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..96dd6e1d19e478af2cdda4615fb0744df726636f
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Listener.cs
@@ -0,0 +1,200 @@
+using Antlr4.Runtime;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime.Misc;
+using Eingabeverwaltung.Metamodell;
+using Eingabeverwaltung.Parser.Task_Parser;
+using System.Collections.Generic;
+using System;
+
+namespace Eingabeverwaltung.Parser
+{
+	public class Task_Listener : ITaskListener
+	{
+        // object on which will be build
+        private Container container;
+
+        // helping Listener for building
+        private Listener_Helper LH;
+
+        // Task parts
+        private List<TaskLemma> lemmata;
+        private SingleTask mainTask;
+        private List<SingleTask> lemmaTasks;
+        private Variable indVar;
+
+        // config parts
+        private IConfig mainConfig;
+        private SingleConfig singleConfig;
+        private List<InductionCaseConfig> indCaseConfigs;
+        private SingleConfig indHypConfig;
+        private int maxPt;
+        private int minSteps;
+        private int maxSteps;
+
+        /// <summary>
+        /// Requires a Container with filled ADT
+        /// </summary>
+        /// <param name="container"></param>
+        public Task_Listener(Container container)
+		{
+            this.container = container;
+
+            LH = new Listener_Helper(container.ADT.sorts,container.ADT.operations, null, container.ADT.axioms, null, null);
+
+            lemmata = new List<TaskLemma>();
+            mainTask = null;
+            lemmaTasks = new List<SingleTask>();
+            indVar = null;
+
+            mainConfig = null;
+            singleConfig = null;
+            indCaseConfigs = null;
+            indHypConfig = null;
+            maxPt = -1;
+            minSteps = -1;
+            maxSteps = -1;
+		}
+
+        public void EnterTask([NotNull] TaskParser.TaskContext context) { }
+        public void ExitTask([NotNull] TaskParser.TaskContext context) 
+        {
+            container.Task = new Task(mainTask,lemmaTasks,lemmata);
+        }
+        public void EnterTask_eq([NotNull] TaskParser.Task_eqContext context) { }
+        public void ExitTask_eq([NotNull] TaskParser.Task_eqContext context)
+        {
+            if (mainConfig == null) throw new Exception("No Config found for main task!");
+            mainTask = new SingleTask("main task", LH.equation, LH.fixedVars, mainConfig, indVar);
+            indVar = null;
+        }
+
+        public void EnterLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context) { }
+        public void ExitLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context) { }
+        public void EnterLemma_task([NotNull] TaskParser.Lemma_taskContext context) { }
+        public void ExitLemma_task([NotNull] TaskParser.Lemma_taskContext context)
+        {
+            string lemmaName = context.BEZ().GetText();
+            Test_Lemmata_all_Unique(lemmaName); 
+            if (mainConfig == null) throw new Exception("No Config found for lemma " + lemmaName);
+            lemmaTasks.Add(new SingleTask(lemmaName,LH.equation, LH.fixedVars, mainConfig, indVar));
+            indVar = null;
+        }
+
+        public void EnterTask_lemmata([NotNull] TaskParser.Task_lemmataContext context) { }
+        public void ExitTask_lemmata([NotNull] TaskParser.Task_lemmataContext context) { }
+        public void EnterTask_lemma([NotNull] TaskParser.Task_lemmaContext context) { }
+        public void ExitTask_lemma([NotNull] TaskParser.Task_lemmaContext context) 
+        {
+            string lemmaName = context.BEZ().GetText();
+            Test_Lemmata_all_Unique(lemmaName);
+            lemmata.Add(new TaskLemma(lemmaName,LH.equation, LH.fixedVars));
+        }
+
+        // Induction
+        public void EnterInd_var([NotNull] TaskParser.Ind_varContext context) 
+        {
+            string variableName = context.BEZ().GetText();
+            Variable variable = LH.findVariableInADT_Vars(variableName);
+            if (!LH.allQVars.Contains(variable)) 
+                throw new Exception("Induction variable for task "+ context.Parent.GetChild(0).GetText()+" was not definied as allquantified before.");
+            if (variable.sort.GetConstructors().Count == 0) 
+                throw new Exception("Induction variable for task " + context.Parent.GetChild(0).GetText()+" has no constructors!");
+            indVar = variable;
+        }
+        public void ExitInd_var([NotNull] TaskParser.Ind_varContext context) { }
+
+        // Config
+        public void EnterConfig([NotNull] TaskParser.ConfigContext context) { mainConfig = null; }
+        public void ExitConfig([NotNull] TaskParser.ConfigContext context) 
+        {
+            if (mainConfig == null && singleConfig != null) mainConfig = singleConfig;
+        }
+        public void EnterInd_pt([NotNull] TaskParser.Ind_ptContext context)
+        {
+            indCaseConfigs = new List<InductionCaseConfig>();
+            indHypConfig = null;
+        }
+
+        public void ExitInd_pt([NotNull] TaskParser.Ind_ptContext context)
+        {
+            string taskName = context.Parent.Parent.GetChild(0).GetText();
+            if (indVar == null) throw new Exception("Config for induction can't find its relation to induction variable!");
+            if (indCaseConfigs.Count < indVar.sort.GetConstructors().Count)
+                throw new Exception("There are " + (indVar.sort.GetConstructors().Count - indCaseConfigs.Count)
+                    + " missing cases for Config of induction for task " + taskName);
+            if (indHypConfig == null) throw new Exception("No Config for Inductionhypotheses found for task " + taskName);
+            mainConfig = new InductionConfig(indCaseConfigs, indHypConfig);
+        }
+        public void EnterCase_pt([NotNull] TaskParser.Case_ptContext context) { singleConfig = null; }
+        public void ExitCase_pt([NotNull] TaskParser.Case_ptContext context)
+        {
+            string constructorName = context.BEZ().GetText();
+            Operation constructor = LH.findOperationInADT_Ops(constructorName, 0, false);
+            if (constructor as Constructor == null) throw new Exception("The induction case config refers not to a constructor: " + constructorName + "!");
+            if (singleConfig == null) throw new Exception("No config found for induction case " + constructorName + "!");
+            indCaseConfigs.Add(new InductionCaseConfig((Constructor)constructor, singleConfig));
+        }
+        public void EnterIh_pt([NotNull] TaskParser.Ih_ptContext context) { maxPt = -1; minSteps = -1; maxSteps = -1; }
+        public void ExitIh_pt([NotNull] TaskParser.Ih_ptContext context) { indHypConfig = new SingleConfig(maxPt, minSteps, maxSteps); }
+
+        public void EnterTask_pt([NotNull] TaskParser.Task_ptContext context) { maxPt = -1; minSteps = -1; maxSteps = -1; }
+        public void ExitTask_pt([NotNull] TaskParser.Task_ptContext context)
+        {
+            if (maxPt < 0) throw new Exception("No maxPt found!");
+            if (minSteps < 0) throw new Exception("No minsteps found!");
+            if (maxSteps < 0) throw new Exception("No maxsteps found!");
+            singleConfig = new SingleConfig(maxPt, minSteps, maxSteps);
+        }
+        public void EnterMaxpt([NotNull] TaskParser.MaxptContext context) { }
+        public void ExitMaxpt([NotNull] TaskParser.MaxptContext context) { maxPt = int.Parse(context.NAT().GetText()); }
+        public void EnterMinsteps([NotNull] TaskParser.MinstepsContext context) { }
+        public void ExitMinsteps([NotNull] TaskParser.MinstepsContext context) { minSteps = int.Parse(context.NAT().GetText()); }
+        public void EnterMaxsteps([NotNull] TaskParser.MaxstepsContext context) { }
+        public void ExitMaxsteps([NotNull] TaskParser.MaxstepsContext context) { maxSteps = int.Parse(context.NAT().GetText()); }
+
+        // Equation Rules
+        public void EnterEq([NotNull] TaskParser.EqContext context) => LH.EnterEq();
+        public void ExitEq([NotNull] TaskParser.EqContext context) => LH.ExitEq();
+        public void EnterEq_var_def([NotNull] TaskParser.Eq_var_defContext context) => LH.EnterVars();
+        public void ExitEq_var_def([NotNull] TaskParser.Eq_var_defContext context) => LH.ExitEqVarDef();
+        public void EnterFixed([NotNull] TaskParser.FixedContext context) => LH.EnterVars();
+        public void ExitFixed([NotNull] TaskParser.FixedContext context) => LH.fixedVars = LH.adt_vars; 
+        public void EnterForall([NotNull] TaskParser.ForallContext context) => LH.EnterVars(); 
+        public void ExitForall([NotNull] TaskParser.ForallContext context) => LH.allQVars = LH.adt_vars;
+        public void EnterVar([NotNull] TaskParser.VarContext context) { }
+        public void ExitVar([NotNull] TaskParser.VarContext context)
+            => LH.ExitVar(context.BEZ().GetText(), context.sort().BEZ().GetText());
+        public void EnterSort([NotNull] TaskParser.SortContext context) { }
+        public void ExitSort([NotNull] TaskParser.SortContext context) { }        
+
+        // Trees
+        public void EnterMytree([NotNull] TaskParser.MytreeContext context) { }
+        public void ExitMytree([NotNull] TaskParser.MytreeContext context) { }
+
+        public void EnterTreeLeaf([NotNull] TaskParser.TreeLeafContext context) { }
+        public void ExitTreeLeaf([NotNull] TaskParser.TreeLeafContext context) 
+            => LH.ExitTreeLeaf(context.BEZ().GetText());
+        
+        public void EnterTreeNode([NotNull] TaskParser.TreeNodeContext context) { }
+        public void ExitTreeNode([NotNull] TaskParser.TreeNodeContext context) 
+            => LH.ExitTreeNode(context.BEZ().GetText(), context.ChildCount, context.GetText());
+
+        // useless Interface requirements
+        public void EnterEveryRule(ParserRuleContext ctx) { }
+        public void ExitEveryRule(ParserRuleContext ctx) { }
+        public void VisitErrorNode(IErrorNode node) { }
+        public void VisitTerminal(ITerminalNode node) { }
+
+        // Alle Offiziell notwendige Typtests
+
+        private void Test_Lemmata_all_Unique(string lemmaName)
+        {
+            foreach (Rule axiom in LH.adt_axioms)
+                if (axiom.name == lemmaName) throw new Exception("The Lemma " + lemmaName + " has same name like 1 Axiom of ADT!");
+            foreach (Rule lemma in lemmata)
+                if (lemma.name == lemmaName) throw new Exception("The Lemma " + lemmaName + " is defined multiple times in Task!");
+            foreach (Rule lemma in lemmaTasks)
+                if (lemma.name == lemmaName) throw new Exception("The Lemma " + lemmaName + " is defined multiple times in Task!");
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.interp
new file mode 100644
index 0000000000000000000000000000000000000000..d1929eb5acef9fc4af18684b56f9e278f011f17a
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.interp
@@ -0,0 +1,77 @@
+token literal names:
+null
+'task'
+'proof lemmata'
+':'
+'lemmata'
+'induction'
+'case'
+'IH'
+'maxpt'
+'maxPt'
+'minsteps'
+'maxsteps'
+'forall'
+','
+'fixed'
+'='
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+task
+task_eq
+lemma_tasks
+lemma_task
+task_lemmata
+task_lemma
+ind_var
+config
+ind_pt
+case_pt
+ih_pt
+task_pt
+maxpt
+minsteps
+maxsteps
+var
+sort
+forall
+fixed
+eq_var_def
+eq
+mytree
+treeLeaf
+treeNode
+
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 3, 23, 190, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 4, 16, 9, 16, 4, 17, 9, 17, 4, 18, 9, 18, 4, 19, 9, 19, 4, 20, 9, 20, 4, 21, 9, 21, 4, 22, 9, 22, 4, 23, 9, 23, 4, 24, 9, 24, 4, 25, 9, 25, 3, 2, 3, 2, 5, 2, 53, 10, 2, 3, 2, 5, 2, 56, 10, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 5, 3, 63, 10, 3, 3, 3, 3, 3, 3, 4, 3, 4, 6, 4, 69, 10, 4, 13, 4, 14, 4, 70, 3, 5, 3, 5, 3, 5, 3, 5, 5, 5, 77, 10, 5, 3, 5, 3, 5, 3, 6, 3, 6, 6, 6, 83, 10, 6, 13, 6, 14, 6, 84, 3, 7, 3, 7, 3, 7, 3, 7, 3, 8, 3, 8, 3, 8, 3, 9, 3, 9, 5, 9, 96, 10, 9, 3, 10, 6, 10, 99, 10, 10, 13, 10, 14, 10, 100, 3, 10, 3, 10, 3, 11, 3, 11, 3, 11, 3, 11, 3, 12, 3, 12, 3, 12, 3, 13, 3, 13, 3, 13, 3, 13, 3, 14, 3, 14, 3, 14, 3, 15, 3, 15, 3, 15, 3, 16, 3, 16, 3, 16, 3, 17, 3, 17, 3, 17, 3, 17, 3, 18, 3, 18, 3, 19, 3, 19, 3, 19, 3, 19, 7, 19, 135, 10, 19, 12, 19, 14, 19, 138, 11, 19, 3, 20, 3, 20, 3, 20, 3, 20, 7, 20, 144, 10, 20, 12, 20, 14, 20, 147, 11, 20, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 5, 21, 155, 10, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 3, 21, 5, 21, 163, 10, 21, 5, 21, 165, 10, 21, 3, 22, 3, 22, 3, 22, 3, 22, 3, 22, 3, 23, 3, 23, 5, 23, 174, 10, 23, 3, 24, 3, 24, 3, 25, 3, 25, 3, 25, 3, 25, 3, 25, 7, 25, 183, 10, 25, 12, 25, 14, 25, 186, 11, 25, 3, 25, 3, 25, 3, 25, 2, 2, 26, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 2, 3, 3, 2, 10, 11, 2, 181, 2, 50, 3, 2, 2, 2, 4, 59, 3, 2, 2, 2, 6, 66, 3, 2, 2, 2, 8, 72, 3, 2, 2, 2, 10, 80, 3, 2, 2, 2, 12, 86, 3, 2, 2, 2, 14, 90, 3, 2, 2, 2, 16, 95, 3, 2, 2, 2, 18, 98, 3, 2, 2, 2, 20, 104, 3, 2, 2, 2, 22, 108, 3, 2, 2, 2, 24, 111, 3, 2, 2, 2, 26, 115, 3, 2, 2, 2, 28, 118, 3, 2, 2, 2, 30, 121, 3, 2, 2, 2, 32, 124, 3, 2, 2, 2, 34, 128, 3, 2, 2, 2, 36, 130, 3, 2, 2, 2, 38, 139, 3, 2, 2, 2, 40, 164, 3, 2, 2, 2, 42, 166, 3, 2, 2, 2, 44, 173, 3, 2, 2, 2, 46, 175, 3, 2, 2, 2, 48, 177, 3, 2, 2, 2, 50, 52, 5, 4, 3, 2, 51, 53, 5, 6, 4, 2, 52, 51, 3, 2, 2, 2, 52, 53, 3, 2, 2, 2, 53, 55, 3, 2, 2, 2, 54, 56, 5, 10, 6, 2, 55, 54, 3, 2, 2, 2, 55, 56, 3, 2, 2, 2, 56, 57, 3, 2, 2, 2, 57, 58, 7, 2, 2, 3, 58, 3, 3, 2, 2, 2, 59, 60, 7, 3, 2, 2, 60, 62, 5, 42, 22, 2, 61, 63, 5, 14, 8, 2, 62, 61, 3, 2, 2, 2, 62, 63, 3, 2, 2, 2, 63, 64, 3, 2, 2, 2, 64, 65, 5, 16, 9, 2, 65, 5, 3, 2, 2, 2, 66, 68, 7, 4, 2, 2, 67, 69, 5, 8, 5, 2, 68, 67, 3, 2, 2, 2, 69, 70, 3, 2, 2, 2, 70, 68, 3, 2, 2, 2, 70, 71, 3, 2, 2, 2, 71, 7, 3, 2, 2, 2, 72, 73, 7, 20, 2, 2, 73, 74, 7, 5, 2, 2, 74, 76, 5, 42, 22, 2, 75, 77, 5, 14, 8, 2, 76, 75, 3, 2, 2, 2, 76, 77, 3, 2, 2, 2, 77, 78, 3, 2, 2, 2, 78, 79, 5, 16, 9, 2, 79, 9, 3, 2, 2, 2, 80, 82, 7, 6, 2, 2, 81, 83, 5, 12, 7, 2, 82, 81, 3, 2, 2, 2, 83, 84, 3, 2, 2, 2, 84, 82, 3, 2, 2, 2, 84, 85, 3, 2, 2, 2, 85, 11, 3, 2, 2, 2, 86, 87, 7, 20, 2, 2, 87, 88, 7, 5, 2, 2, 88, 89, 5, 42, 22, 2, 89, 13, 3, 2, 2, 2, 90, 91, 7, 7, 2, 2, 91, 92, 7, 20, 2, 2, 92, 15, 3, 2, 2, 2, 93, 96, 5, 24, 13, 2, 94, 96, 5, 18, 10, 2, 95, 93, 3, 2, 2, 2, 95, 94, 3, 2, 2, 2, 96, 17, 3, 2, 2, 2, 97, 99, 5, 20, 11, 2, 98, 97, 3, 2, 2, 2, 99, 100, 3, 2, 2, 2, 100, 98, 3, 2, 2, 2, 100, 101, 3, 2, 2, 2, 101, 102, 3, 2, 2, 2, 102, 103, 5, 22, 12, 2, 103, 19, 3, 2, 2, 2, 104, 105, 7, 8, 2, 2, 105, 106, 7, 20, 2, 2, 106, 107, 5, 24, 13, 2, 107, 21, 3, 2, 2, 2, 108, 109, 7, 9, 2, 2, 109, 110, 5, 26, 14, 2, 110, 23, 3, 2, 2, 2, 111, 112, 5, 26, 14, 2, 112, 113, 5, 28, 15, 2, 113, 114, 5, 30, 16, 2, 114, 25, 3, 2, 2, 2, 115, 116, 9, 2, 2, 2, 116, 117, 7, 21, 2, 2, 117, 27, 3, 2, 2, 2, 118, 119, 7, 12, 2, 2, 119, 120, 7, 21, 2, 2, 120, 29, 3, 2, 2, 2, 121, 122, 7, 13, 2, 2, 122, 123, 7, 21, 2, 2, 123, 31, 3, 2, 2, 2, 124, 125, 7, 20, 2, 2, 125, 126, 7, 5, 2, 2, 126, 127, 5, 34, 18, 2, 127, 33, 3, 2, 2, 2, 128, 129, 7, 20, 2, 2, 129, 35, 3, 2, 2, 2, 130, 131, 7, 14, 2, 2, 131, 136, 5, 32, 17, 2, 132, 133, 7, 15, 2, 2, 133, 135, 5, 32, 17, 2, 134, 132, 3, 2, 2, 2, 135, 138, 3, 2, 2, 2, 136, 134, 3, 2, 2, 2, 136, 137, 3, 2, 2, 2, 137, 37, 3, 2, 2, 2, 138, 136, 3, 2, 2, 2, 139, 140, 7, 16, 2, 2, 140, 145, 5, 32, 17, 2, 141, 142, 7, 15, 2, 2, 142, 144, 5, 32, 17, 2, 143, 141, 3, 2, 2, 2, 144, 147, 3, 2, 2, 2, 145, 143, 3, 2, 2, 2, 145, 146, 3, 2, 2, 2, 146, 39, 3, 2, 2, 2, 147, 145, 3, 2, 2, 2, 148, 149, 5, 38, 20, 2, 149, 150, 7, 5, 2, 2, 150, 154, 3, 2, 2, 2, 151, 152, 5, 36, 19, 2, 152, 153, 7, 5, 2, 2, 153, 155, 3, 2, 2, 2, 154, 151, 3, 2, 2, 2, 154, 155, 3, 2, 2, 2, 155, 165, 3, 2, 2, 2, 156, 157, 5, 36, 19, 2, 157, 158, 7, 5, 2, 2, 158, 162, 3, 2, 2, 2, 159, 160, 5, 38, 20, 2, 160, 161, 7, 5, 2, 2, 161, 163, 3, 2, 2, 2, 162, 159, 3, 2, 2, 2, 162, 163, 3, 2, 2, 2, 163, 165, 3, 2, 2, 2, 164, 148, 3, 2, 2, 2, 164, 156, 3, 2, 2, 2, 164, 165, 3, 2, 2, 2, 165, 41, 3, 2, 2, 2, 166, 167, 5, 40, 21, 2, 167, 168, 5, 44, 23, 2, 168, 169, 7, 17, 2, 2, 169, 170, 5, 44, 23, 2, 170, 43, 3, 2, 2, 2, 171, 174, 5, 46, 24, 2, 172, 174, 5, 48, 25, 2, 173, 171, 3, 2, 2, 2, 173, 172, 3, 2, 2, 2, 174, 45, 3, 2, 2, 2, 175, 176, 7, 20, 2, 2, 176, 47, 3, 2, 2, 2, 177, 178, 7, 20, 2, 2, 178, 179, 7, 18, 2, 2, 179, 184, 5, 44, 23, 2, 180, 181, 7, 15, 2, 2, 181, 183, 5, 44, 23, 2, 182, 180, 3, 2, 2, 2, 183, 186, 3, 2, 2, 2, 184, 182, 3, 2, 2, 2, 184, 185, 3, 2, 2, 2, 185, 187, 3, 2, 2, 2, 186, 184, 3, 2, 2, 2, 187, 188, 7, 19, 2, 2, 188, 49, 3, 2, 2, 2, 17, 52, 55, 62, 70, 76, 84, 95, 100, 136, 145, 154, 162, 164, 173, 184]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..f045c4e0dd3118664b4921189098760f1d4b31d1
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/Task.tokens
@@ -0,0 +1,38 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+T__13=14
+T__14=15
+T__15=16
+T__16=17
+BEZ=18
+NAT=19
+WHITESPACE=20
+NEWLINE=21
+'task'=1
+'proof lemmata'=2
+':'=3
+'lemmata'=4
+'induction'=5
+'case'=6
+'IH'=7
+'maxpt'=8
+'maxPt'=9
+'minsteps'=10
+'maxsteps'=11
+'forall'=12
+','=13
+'fixed'=14
+'='=15
+'('=16
+')'=17
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskBaseListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskBaseListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..60785c66d567910e9496ed4723b22a997ef468fc
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskBaseListener.cs
@@ -0,0 +1,340 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Task.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Task_Parser {
+
+using Antlr4.Runtime.Misc;
+using IErrorNode = Antlr4.Runtime.Tree.IErrorNode;
+using ITerminalNode = Antlr4.Runtime.Tree.ITerminalNode;
+using IToken = Antlr4.Runtime.IToken;
+using ParserRuleContext = Antlr4.Runtime.ParserRuleContext;
+
+/// <summary>
+/// This class provides an empty implementation of <see cref="ITaskListener"/>,
+/// which can be extended to create a listener which only needs to handle a subset
+/// of the available methods.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class TaskBaseListener : ITaskListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTask([NotNull] TaskParser.TaskContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTask([NotNull] TaskParser.TaskContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTask_eq([NotNull] TaskParser.Task_eqContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTask_eq([NotNull] TaskParser.Task_eqContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.lemma_tasks"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.lemma_tasks"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.lemma_task"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterLemma_task([NotNull] TaskParser.Lemma_taskContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.lemma_task"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitLemma_task([NotNull] TaskParser.Lemma_taskContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_lemmata"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTask_lemmata([NotNull] TaskParser.Task_lemmataContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_lemmata"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTask_lemmata([NotNull] TaskParser.Task_lemmataContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_lemma"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTask_lemma([NotNull] TaskParser.Task_lemmaContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_lemma"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTask_lemma([NotNull] TaskParser.Task_lemmaContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ind_var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_var([NotNull] TaskParser.Ind_varContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ind_var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_var([NotNull] TaskParser.Ind_varContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.config"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterConfig([NotNull] TaskParser.ConfigContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.config"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitConfig([NotNull] TaskParser.ConfigContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ind_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterInd_pt([NotNull] TaskParser.Ind_ptContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ind_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitInd_pt([NotNull] TaskParser.Ind_ptContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.case_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterCase_pt([NotNull] TaskParser.Case_ptContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.case_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitCase_pt([NotNull] TaskParser.Case_ptContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ih_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterIh_pt([NotNull] TaskParser.Ih_ptContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ih_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitIh_pt([NotNull] TaskParser.Ih_ptContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTask_pt([NotNull] TaskParser.Task_ptContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_pt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTask_pt([NotNull] TaskParser.Task_ptContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.maxpt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMaxpt([NotNull] TaskParser.MaxptContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.maxpt"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMaxpt([NotNull] TaskParser.MaxptContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.minsteps"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMinsteps([NotNull] TaskParser.MinstepsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.minsteps"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMinsteps([NotNull] TaskParser.MinstepsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.maxsteps"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMaxsteps([NotNull] TaskParser.MaxstepsContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.maxsteps"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMaxsteps([NotNull] TaskParser.MaxstepsContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterVar([NotNull] TaskParser.VarContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.var"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitVar([NotNull] TaskParser.VarContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterSort([NotNull] TaskParser.SortContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.sort"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitSort([NotNull] TaskParser.SortContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.forall"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterForall([NotNull] TaskParser.ForallContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.forall"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitForall([NotNull] TaskParser.ForallContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.fixed"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterFixed([NotNull] TaskParser.FixedContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.fixed"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitFixed([NotNull] TaskParser.FixedContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.eq_var_def"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterEq_var_def([NotNull] TaskParser.Eq_var_defContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.eq_var_def"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitEq_var_def([NotNull] TaskParser.Eq_var_defContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterEq([NotNull] TaskParser.EqContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.eq"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitEq([NotNull] TaskParser.EqContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterMytree([NotNull] TaskParser.MytreeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.mytree"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitMytree([NotNull] TaskParser.MytreeContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeLeaf([NotNull] TaskParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.treeLeaf"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeLeaf([NotNull] TaskParser.TreeLeafContext context) { }
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void EnterTreeNode([NotNull] TaskParser.TreeNodeContext context) { }
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.treeNode"/>.
+	/// <para>The default implementation does nothing.</para>
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	public virtual void ExitTreeNode([NotNull] TaskParser.TreeNodeContext context) { }
+
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void EnterEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void ExitEveryRule([NotNull] ParserRuleContext context) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitTerminal([NotNull] ITerminalNode node) { }
+	/// <inheritdoc/>
+	/// <remarks>The default implementation does nothing.</remarks>
+	public virtual void VisitErrorNode([NotNull] IErrorNode node) { }
+}
+} // namespace Eingabeverwaltung.Parser.Task_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.cs
new file mode 100644
index 0000000000000000000000000000000000000000..558d8412fe23085789118a5f2df1305e118df595
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.cs
@@ -0,0 +1,251 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Task.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Task_Parser {
+using System;
+using System.IO;
+using System.Text;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class TaskLexer : Lexer {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, T__13=14, T__14=15, T__15=16, T__16=17, 
+		BEZ=18, NAT=19, WHITESPACE=20, NEWLINE=21;
+	public static string[] channelNames = {
+		"DEFAULT_TOKEN_CHANNEL", "HIDDEN"
+	};
+
+	public static string[] modeNames = {
+		"DEFAULT_MODE"
+	};
+
+	public static readonly string[] ruleNames = {
+		"T__0", "T__1", "T__2", "T__3", "T__4", "T__5", "T__6", "T__7", "T__8", 
+		"T__9", "T__10", "T__11", "T__12", "T__13", "T__14", "T__15", "T__16", 
+		"BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+
+
+	public TaskLexer(ICharStream input)
+	: this(input, Console.Out, Console.Error) { }
+
+	public TaskLexer(ICharStream input, TextWriter output, TextWriter errorOutput)
+	: base(input, output, errorOutput)
+	{
+		Interpreter = new LexerATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	private static readonly string[] _LiteralNames = {
+		null, "'task'", "'proof lemmata'", "':'", "'lemmata'", "'induction'", 
+		"'case'", "'IH'", "'maxpt'", "'maxPt'", "'minsteps'", "'maxsteps'", "'forall'", 
+		"','", "'fixed'", "'='", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, null, null, null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "Task.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string[] ChannelNames { get { return channelNames; } }
+
+	public override string[] ModeNames { get { return modeNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static TaskLexer() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x2', '\x17', '\xAF', '\b', '\x1', '\x4', '\x2', '\t', '\x2', 
+		'\x4', '\x3', '\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', 
+		'\x5', '\x4', '\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', 
+		'\t', '\b', '\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', 
+		'\t', '\v', '\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', 
+		'\t', '\xE', '\x4', '\xF', '\t', '\xF', '\x4', '\x10', '\t', '\x10', '\x4', 
+		'\x11', '\t', '\x11', '\x4', '\x12', '\t', '\x12', '\x4', '\x13', '\t', 
+		'\x13', '\x4', '\x14', '\t', '\x14', '\x4', '\x15', '\t', '\x15', '\x4', 
+		'\x16', '\t', '\x16', '\x3', '\x2', '\x3', '\x2', '\x3', '\x2', '\x3', 
+		'\x2', '\x3', '\x2', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x3', '\x3', '\x4', '\x3', '\x4', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', 
+		'\x5', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', '\x6', '\x3', 
+		'\x6', '\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\a', 
+		'\x3', '\b', '\x3', '\b', '\x3', '\b', '\x3', '\t', '\x3', '\t', '\x3', 
+		'\t', '\x3', '\t', '\x3', '\t', '\x3', '\t', '\x3', '\n', '\x3', '\n', 
+		'\x3', '\n', '\x3', '\n', '\x3', '\n', '\x3', '\n', '\x3', '\v', '\x3', 
+		'\v', '\x3', '\v', '\x3', '\v', '\x3', '\v', '\x3', '\v', '\x3', '\v', 
+		'\x3', '\v', '\x3', '\v', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', 
+		'\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', '\f', 
+		'\x3', '\r', '\x3', '\r', '\x3', '\r', '\x3', '\r', '\x3', '\r', '\x3', 
+		'\r', '\x3', '\r', '\x3', '\xE', '\x3', '\xE', '\x3', '\xF', '\x3', '\xF', 
+		'\x3', '\xF', '\x3', '\xF', '\x3', '\xF', '\x3', '\xF', '\x3', '\x10', 
+		'\x3', '\x10', '\x3', '\x11', '\x3', '\x11', '\x3', '\x12', '\x3', '\x12', 
+		'\x3', '\x13', '\x5', '\x13', '\x91', '\n', '\x13', '\x3', '\x13', '\a', 
+		'\x13', '\x94', '\n', '\x13', '\f', '\x13', '\xE', '\x13', '\x97', '\v', 
+		'\x13', '\x3', '\x14', '\x3', '\x14', '\x3', '\x14', '\a', '\x14', '\x9C', 
+		'\n', '\x14', '\f', '\x14', '\xE', '\x14', '\x9F', '\v', '\x14', '\x5', 
+		'\x14', '\xA1', '\n', '\x14', '\x3', '\x15', '\x3', '\x15', '\x3', '\x15', 
+		'\x3', '\x15', '\x3', '\x16', '\x5', '\x16', '\xA8', '\n', '\x16', '\x3', 
+		'\x16', '\x3', '\x16', '\x5', '\x16', '\xAC', '\n', '\x16', '\x3', '\x16', 
+		'\x3', '\x16', '\x2', '\x2', '\x17', '\x3', '\x3', '\x5', '\x4', '\a', 
+		'\x5', '\t', '\x6', '\v', '\a', '\r', '\b', '\xF', '\t', '\x11', '\n', 
+		'\x13', '\v', '\x15', '\f', '\x17', '\r', '\x19', '\xE', '\x1B', '\xF', 
+		'\x1D', '\x10', '\x1F', '\x11', '!', '\x12', '#', '\x13', '%', '\x14', 
+		'\'', '\x15', ')', '\x16', '+', '\x17', '\x3', '\x2', '\a', '\x4', '\x2', 
+		'\x43', '\\', '\x63', '|', '\x6', '\x2', '\x32', ';', '\x43', '\\', '\x61', 
+		'\x61', '\x63', '|', '\x3', '\x2', '\x33', ';', '\x3', '\x2', '\x32', 
+		';', '\x4', '\x2', '\v', '\v', '\"', '\"', '\x2', '\xB3', '\x2', '\x3', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '\x5', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '\a', '\x3', '\x2', '\x2', '\x2', '\x2', '\t', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '\v', '\x3', '\x2', '\x2', '\x2', '\x2', '\r', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\xF', '\x3', '\x2', '\x2', '\x2', '\x2', '\x11', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '\x13', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '\x15', '\x3', '\x2', '\x2', '\x2', '\x2', '\x17', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\x19', '\x3', '\x2', '\x2', '\x2', '\x2', '\x1B', 
+		'\x3', '\x2', '\x2', '\x2', '\x2', '\x1D', '\x3', '\x2', '\x2', '\x2', 
+		'\x2', '\x1F', '\x3', '\x2', '\x2', '\x2', '\x2', '!', '\x3', '\x2', '\x2', 
+		'\x2', '\x2', '#', '\x3', '\x2', '\x2', '\x2', '\x2', '%', '\x3', '\x2', 
+		'\x2', '\x2', '\x2', '\'', '\x3', '\x2', '\x2', '\x2', '\x2', ')', '\x3', 
+		'\x2', '\x2', '\x2', '\x2', '+', '\x3', '\x2', '\x2', '\x2', '\x3', '-', 
+		'\x3', '\x2', '\x2', '\x2', '\x5', '\x32', '\x3', '\x2', '\x2', '\x2', 
+		'\a', '@', '\x3', '\x2', '\x2', '\x2', '\t', '\x42', '\x3', '\x2', '\x2', 
+		'\x2', '\v', 'J', '\x3', '\x2', '\x2', '\x2', '\r', 'T', '\x3', '\x2', 
+		'\x2', '\x2', '\xF', 'Y', '\x3', '\x2', '\x2', '\x2', '\x11', '\\', '\x3', 
+		'\x2', '\x2', '\x2', '\x13', '\x62', '\x3', '\x2', '\x2', '\x2', '\x15', 
+		'h', '\x3', '\x2', '\x2', '\x2', '\x17', 'q', '\x3', '\x2', '\x2', '\x2', 
+		'\x19', 'z', '\x3', '\x2', '\x2', '\x2', '\x1B', '\x81', '\x3', '\x2', 
+		'\x2', '\x2', '\x1D', '\x83', '\x3', '\x2', '\x2', '\x2', '\x1F', '\x89', 
+		'\x3', '\x2', '\x2', '\x2', '!', '\x8B', '\x3', '\x2', '\x2', '\x2', '#', 
+		'\x8D', '\x3', '\x2', '\x2', '\x2', '%', '\x90', '\x3', '\x2', '\x2', 
+		'\x2', '\'', '\xA0', '\x3', '\x2', '\x2', '\x2', ')', '\xA2', '\x3', '\x2', 
+		'\x2', '\x2', '+', '\xAB', '\x3', '\x2', '\x2', '\x2', '-', '.', '\a', 
+		'v', '\x2', '\x2', '.', '/', '\a', '\x63', '\x2', '\x2', '/', '\x30', 
+		'\a', 'u', '\x2', '\x2', '\x30', '\x31', '\a', 'm', '\x2', '\x2', '\x31', 
+		'\x4', '\x3', '\x2', '\x2', '\x2', '\x32', '\x33', '\a', 'r', '\x2', '\x2', 
+		'\x33', '\x34', '\a', 't', '\x2', '\x2', '\x34', '\x35', '\a', 'q', '\x2', 
+		'\x2', '\x35', '\x36', '\a', 'q', '\x2', '\x2', '\x36', '\x37', '\a', 
+		'h', '\x2', '\x2', '\x37', '\x38', '\a', '\"', '\x2', '\x2', '\x38', '\x39', 
+		'\a', 'n', '\x2', '\x2', '\x39', ':', '\a', 'g', '\x2', '\x2', ':', ';', 
+		'\a', 'o', '\x2', '\x2', ';', '<', '\a', 'o', '\x2', '\x2', '<', '=', 
+		'\a', '\x63', '\x2', '\x2', '=', '>', '\a', 'v', '\x2', '\x2', '>', '?', 
+		'\a', '\x63', '\x2', '\x2', '?', '\x6', '\x3', '\x2', '\x2', '\x2', '@', 
+		'\x41', '\a', '<', '\x2', '\x2', '\x41', '\b', '\x3', '\x2', '\x2', '\x2', 
+		'\x42', '\x43', '\a', 'n', '\x2', '\x2', '\x43', '\x44', '\a', 'g', '\x2', 
+		'\x2', '\x44', '\x45', '\a', 'o', '\x2', '\x2', '\x45', '\x46', '\a', 
+		'o', '\x2', '\x2', '\x46', 'G', '\a', '\x63', '\x2', '\x2', 'G', 'H', 
+		'\a', 'v', '\x2', '\x2', 'H', 'I', '\a', '\x63', '\x2', '\x2', 'I', '\n', 
+		'\x3', '\x2', '\x2', '\x2', 'J', 'K', '\a', 'k', '\x2', '\x2', 'K', 'L', 
+		'\a', 'p', '\x2', '\x2', 'L', 'M', '\a', '\x66', '\x2', '\x2', 'M', 'N', 
+		'\a', 'w', '\x2', '\x2', 'N', 'O', '\a', '\x65', '\x2', '\x2', 'O', 'P', 
+		'\a', 'v', '\x2', '\x2', 'P', 'Q', '\a', 'k', '\x2', '\x2', 'Q', 'R', 
+		'\a', 'q', '\x2', '\x2', 'R', 'S', '\a', 'p', '\x2', '\x2', 'S', '\f', 
+		'\x3', '\x2', '\x2', '\x2', 'T', 'U', '\a', '\x65', '\x2', '\x2', 'U', 
+		'V', '\a', '\x63', '\x2', '\x2', 'V', 'W', '\a', 'u', '\x2', '\x2', 'W', 
+		'X', '\a', 'g', '\x2', '\x2', 'X', '\xE', '\x3', '\x2', '\x2', '\x2', 
+		'Y', 'Z', '\a', 'K', '\x2', '\x2', 'Z', '[', '\a', 'J', '\x2', '\x2', 
+		'[', '\x10', '\x3', '\x2', '\x2', '\x2', '\\', ']', '\a', 'o', '\x2', 
+		'\x2', ']', '^', '\a', '\x63', '\x2', '\x2', '^', '_', '\a', 'z', '\x2', 
+		'\x2', '_', '`', '\a', 'r', '\x2', '\x2', '`', '\x61', '\a', 'v', '\x2', 
+		'\x2', '\x61', '\x12', '\x3', '\x2', '\x2', '\x2', '\x62', '\x63', '\a', 
+		'o', '\x2', '\x2', '\x63', '\x64', '\a', '\x63', '\x2', '\x2', '\x64', 
+		'\x65', '\a', 'z', '\x2', '\x2', '\x65', '\x66', '\a', 'R', '\x2', '\x2', 
+		'\x66', 'g', '\a', 'v', '\x2', '\x2', 'g', '\x14', '\x3', '\x2', '\x2', 
+		'\x2', 'h', 'i', '\a', 'o', '\x2', '\x2', 'i', 'j', '\a', 'k', '\x2', 
+		'\x2', 'j', 'k', '\a', 'p', '\x2', '\x2', 'k', 'l', '\a', 'u', '\x2', 
+		'\x2', 'l', 'm', '\a', 'v', '\x2', '\x2', 'm', 'n', '\a', 'g', '\x2', 
+		'\x2', 'n', 'o', '\a', 'r', '\x2', '\x2', 'o', 'p', '\a', 'u', '\x2', 
+		'\x2', 'p', '\x16', '\x3', '\x2', '\x2', '\x2', 'q', 'r', '\a', 'o', '\x2', 
+		'\x2', 'r', 's', '\a', '\x63', '\x2', '\x2', 's', 't', '\a', 'z', '\x2', 
+		'\x2', 't', 'u', '\a', 'u', '\x2', '\x2', 'u', 'v', '\a', 'v', '\x2', 
+		'\x2', 'v', 'w', '\a', 'g', '\x2', '\x2', 'w', 'x', '\a', 'r', '\x2', 
+		'\x2', 'x', 'y', '\a', 'u', '\x2', '\x2', 'y', '\x18', '\x3', '\x2', '\x2', 
+		'\x2', 'z', '{', '\a', 'h', '\x2', '\x2', '{', '|', '\a', 'q', '\x2', 
+		'\x2', '|', '}', '\a', 't', '\x2', '\x2', '}', '~', '\a', '\x63', '\x2', 
+		'\x2', '~', '\x7F', '\a', 'n', '\x2', '\x2', '\x7F', '\x80', '\a', 'n', 
+		'\x2', '\x2', '\x80', '\x1A', '\x3', '\x2', '\x2', '\x2', '\x81', '\x82', 
+		'\a', '.', '\x2', '\x2', '\x82', '\x1C', '\x3', '\x2', '\x2', '\x2', '\x83', 
+		'\x84', '\a', 'h', '\x2', '\x2', '\x84', '\x85', '\a', 'k', '\x2', '\x2', 
+		'\x85', '\x86', '\a', 'z', '\x2', '\x2', '\x86', '\x87', '\a', 'g', '\x2', 
+		'\x2', '\x87', '\x88', '\a', '\x66', '\x2', '\x2', '\x88', '\x1E', '\x3', 
+		'\x2', '\x2', '\x2', '\x89', '\x8A', '\a', '?', '\x2', '\x2', '\x8A', 
+		' ', '\x3', '\x2', '\x2', '\x2', '\x8B', '\x8C', '\a', '*', '\x2', '\x2', 
+		'\x8C', '\"', '\x3', '\x2', '\x2', '\x2', '\x8D', '\x8E', '\a', '+', '\x2', 
+		'\x2', '\x8E', '$', '\x3', '\x2', '\x2', '\x2', '\x8F', '\x91', '\t', 
+		'\x2', '\x2', '\x2', '\x90', '\x8F', '\x3', '\x2', '\x2', '\x2', '\x91', 
+		'\x95', '\x3', '\x2', '\x2', '\x2', '\x92', '\x94', '\t', '\x3', '\x2', 
+		'\x2', '\x93', '\x92', '\x3', '\x2', '\x2', '\x2', '\x94', '\x97', '\x3', 
+		'\x2', '\x2', '\x2', '\x95', '\x93', '\x3', '\x2', '\x2', '\x2', '\x95', 
+		'\x96', '\x3', '\x2', '\x2', '\x2', '\x96', '&', '\x3', '\x2', '\x2', 
+		'\x2', '\x97', '\x95', '\x3', '\x2', '\x2', '\x2', '\x98', '\xA1', '\a', 
+		'\x32', '\x2', '\x2', '\x99', '\x9D', '\t', '\x4', '\x2', '\x2', '\x9A', 
+		'\x9C', '\t', '\x5', '\x2', '\x2', '\x9B', '\x9A', '\x3', '\x2', '\x2', 
+		'\x2', '\x9C', '\x9F', '\x3', '\x2', '\x2', '\x2', '\x9D', '\x9B', '\x3', 
+		'\x2', '\x2', '\x2', '\x9D', '\x9E', '\x3', '\x2', '\x2', '\x2', '\x9E', 
+		'\xA1', '\x3', '\x2', '\x2', '\x2', '\x9F', '\x9D', '\x3', '\x2', '\x2', 
+		'\x2', '\xA0', '\x98', '\x3', '\x2', '\x2', '\x2', '\xA0', '\x99', '\x3', 
+		'\x2', '\x2', '\x2', '\xA1', '(', '\x3', '\x2', '\x2', '\x2', '\xA2', 
+		'\xA3', '\t', '\x6', '\x2', '\x2', '\xA3', '\xA4', '\x3', '\x2', '\x2', 
+		'\x2', '\xA4', '\xA5', '\b', '\x15', '\x2', '\x2', '\xA5', '*', '\x3', 
+		'\x2', '\x2', '\x2', '\xA6', '\xA8', '\a', '\xF', '\x2', '\x2', '\xA7', 
+		'\xA6', '\x3', '\x2', '\x2', '\x2', '\xA7', '\xA8', '\x3', '\x2', '\x2', 
+		'\x2', '\xA8', '\xA9', '\x3', '\x2', '\x2', '\x2', '\xA9', '\xAC', '\a', 
+		'\f', '\x2', '\x2', '\xAA', '\xAC', '\a', '\xF', '\x2', '\x2', '\xAB', 
+		'\xA7', '\x3', '\x2', '\x2', '\x2', '\xAB', '\xAA', '\x3', '\x2', '\x2', 
+		'\x2', '\xAC', '\xAD', '\x3', '\x2', '\x2', '\x2', '\xAD', '\xAE', '\b', 
+		'\x16', '\x2', '\x2', '\xAE', ',', '\x3', '\x2', '\x2', '\x2', '\n', '\x2', 
+		'\x90', '\x93', '\x95', '\x9D', '\xA0', '\xA7', '\xAB', '\x3', '\b', '\x2', 
+		'\x2',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.Task_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.interp b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.interp
new file mode 100644
index 0000000000000000000000000000000000000000..2fcc549bde2b455a7c9a8c32b5eb7f8a69b227bd
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.interp
@@ -0,0 +1,80 @@
+token literal names:
+null
+'task'
+'proof lemmata'
+':'
+'lemmata'
+'induction'
+'case'
+'IH'
+'maxpt'
+'maxPt'
+'minsteps'
+'maxsteps'
+'forall'
+','
+'fixed'
+'='
+'('
+')'
+null
+null
+null
+null
+
+token symbolic names:
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+null
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+rule names:
+T__0
+T__1
+T__2
+T__3
+T__4
+T__5
+T__6
+T__7
+T__8
+T__9
+T__10
+T__11
+T__12
+T__13
+T__14
+T__15
+T__16
+BEZ
+NAT
+WHITESPACE
+NEWLINE
+
+channel names:
+DEFAULT_TOKEN_CHANNEL
+HIDDEN
+
+mode names:
+DEFAULT_MODE
+
+atn:
+[3, 24715, 42794, 33075, 47597, 16764, 15335, 30598, 22884, 2, 23, 175, 8, 1, 4, 2, 9, 2, 4, 3, 9, 3, 4, 4, 9, 4, 4, 5, 9, 5, 4, 6, 9, 6, 4, 7, 9, 7, 4, 8, 9, 8, 4, 9, 9, 9, 4, 10, 9, 10, 4, 11, 9, 11, 4, 12, 9, 12, 4, 13, 9, 13, 4, 14, 9, 14, 4, 15, 9, 15, 4, 16, 9, 16, 4, 17, 9, 17, 4, 18, 9, 18, 4, 19, 9, 19, 4, 20, 9, 20, 4, 21, 9, 21, 4, 22, 9, 22, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 8, 3, 8, 3, 8, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 10, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 11, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 13, 3, 13, 3, 13, 3, 13, 3, 13, 3, 13, 3, 13, 3, 14, 3, 14, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 15, 3, 16, 3, 16, 3, 17, 3, 17, 3, 18, 3, 18, 3, 19, 5, 19, 145, 10, 19, 3, 19, 7, 19, 148, 10, 19, 12, 19, 14, 19, 151, 11, 19, 3, 20, 3, 20, 3, 20, 7, 20, 156, 10, 20, 12, 20, 14, 20, 159, 11, 20, 5, 20, 161, 10, 20, 3, 21, 3, 21, 3, 21, 3, 21, 3, 22, 5, 22, 168, 10, 22, 3, 22, 3, 22, 5, 22, 172, 10, 22, 3, 22, 3, 22, 2, 2, 23, 3, 3, 5, 4, 7, 5, 9, 6, 11, 7, 13, 8, 15, 9, 17, 10, 19, 11, 21, 12, 23, 13, 25, 14, 27, 15, 29, 16, 31, 17, 33, 18, 35, 19, 37, 20, 39, 21, 41, 22, 43, 23, 3, 2, 7, 4, 2, 67, 92, 99, 124, 6, 2, 50, 59, 67, 92, 97, 97, 99, 124, 3, 2, 51, 59, 3, 2, 50, 59, 4, 2, 11, 11, 34, 34, 2, 179, 2, 3, 3, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 7, 3, 2, 2, 2, 2, 9, 3, 2, 2, 2, 2, 11, 3, 2, 2, 2, 2, 13, 3, 2, 2, 2, 2, 15, 3, 2, 2, 2, 2, 17, 3, 2, 2, 2, 2, 19, 3, 2, 2, 2, 2, 21, 3, 2, 2, 2, 2, 23, 3, 2, 2, 2, 2, 25, 3, 2, 2, 2, 2, 27, 3, 2, 2, 2, 2, 29, 3, 2, 2, 2, 2, 31, 3, 2, 2, 2, 2, 33, 3, 2, 2, 2, 2, 35, 3, 2, 2, 2, 2, 37, 3, 2, 2, 2, 2, 39, 3, 2, 2, 2, 2, 41, 3, 2, 2, 2, 2, 43, 3, 2, 2, 2, 3, 45, 3, 2, 2, 2, 5, 50, 3, 2, 2, 2, 7, 64, 3, 2, 2, 2, 9, 66, 3, 2, 2, 2, 11, 74, 3, 2, 2, 2, 13, 84, 3, 2, 2, 2, 15, 89, 3, 2, 2, 2, 17, 92, 3, 2, 2, 2, 19, 98, 3, 2, 2, 2, 21, 104, 3, 2, 2, 2, 23, 113, 3, 2, 2, 2, 25, 122, 3, 2, 2, 2, 27, 129, 3, 2, 2, 2, 29, 131, 3, 2, 2, 2, 31, 137, 3, 2, 2, 2, 33, 139, 3, 2, 2, 2, 35, 141, 3, 2, 2, 2, 37, 144, 3, 2, 2, 2, 39, 160, 3, 2, 2, 2, 41, 162, 3, 2, 2, 2, 43, 171, 3, 2, 2, 2, 45, 46, 7, 118, 2, 2, 46, 47, 7, 99, 2, 2, 47, 48, 7, 117, 2, 2, 48, 49, 7, 109, 2, 2, 49, 4, 3, 2, 2, 2, 50, 51, 7, 114, 2, 2, 51, 52, 7, 116, 2, 2, 52, 53, 7, 113, 2, 2, 53, 54, 7, 113, 2, 2, 54, 55, 7, 104, 2, 2, 55, 56, 7, 34, 2, 2, 56, 57, 7, 110, 2, 2, 57, 58, 7, 103, 2, 2, 58, 59, 7, 111, 2, 2, 59, 60, 7, 111, 2, 2, 60, 61, 7, 99, 2, 2, 61, 62, 7, 118, 2, 2, 62, 63, 7, 99, 2, 2, 63, 6, 3, 2, 2, 2, 64, 65, 7, 60, 2, 2, 65, 8, 3, 2, 2, 2, 66, 67, 7, 110, 2, 2, 67, 68, 7, 103, 2, 2, 68, 69, 7, 111, 2, 2, 69, 70, 7, 111, 2, 2, 70, 71, 7, 99, 2, 2, 71, 72, 7, 118, 2, 2, 72, 73, 7, 99, 2, 2, 73, 10, 3, 2, 2, 2, 74, 75, 7, 107, 2, 2, 75, 76, 7, 112, 2, 2, 76, 77, 7, 102, 2, 2, 77, 78, 7, 119, 2, 2, 78, 79, 7, 101, 2, 2, 79, 80, 7, 118, 2, 2, 80, 81, 7, 107, 2, 2, 81, 82, 7, 113, 2, 2, 82, 83, 7, 112, 2, 2, 83, 12, 3, 2, 2, 2, 84, 85, 7, 101, 2, 2, 85, 86, 7, 99, 2, 2, 86, 87, 7, 117, 2, 2, 87, 88, 7, 103, 2, 2, 88, 14, 3, 2, 2, 2, 89, 90, 7, 75, 2, 2, 90, 91, 7, 74, 2, 2, 91, 16, 3, 2, 2, 2, 92, 93, 7, 111, 2, 2, 93, 94, 7, 99, 2, 2, 94, 95, 7, 122, 2, 2, 95, 96, 7, 114, 2, 2, 96, 97, 7, 118, 2, 2, 97, 18, 3, 2, 2, 2, 98, 99, 7, 111, 2, 2, 99, 100, 7, 99, 2, 2, 100, 101, 7, 122, 2, 2, 101, 102, 7, 82, 2, 2, 102, 103, 7, 118, 2, 2, 103, 20, 3, 2, 2, 2, 104, 105, 7, 111, 2, 2, 105, 106, 7, 107, 2, 2, 106, 107, 7, 112, 2, 2, 107, 108, 7, 117, 2, 2, 108, 109, 7, 118, 2, 2, 109, 110, 7, 103, 2, 2, 110, 111, 7, 114, 2, 2, 111, 112, 7, 117, 2, 2, 112, 22, 3, 2, 2, 2, 113, 114, 7, 111, 2, 2, 114, 115, 7, 99, 2, 2, 115, 116, 7, 122, 2, 2, 116, 117, 7, 117, 2, 2, 117, 118, 7, 118, 2, 2, 118, 119, 7, 103, 2, 2, 119, 120, 7, 114, 2, 2, 120, 121, 7, 117, 2, 2, 121, 24, 3, 2, 2, 2, 122, 123, 7, 104, 2, 2, 123, 124, 7, 113, 2, 2, 124, 125, 7, 116, 2, 2, 125, 126, 7, 99, 2, 2, 126, 127, 7, 110, 2, 2, 127, 128, 7, 110, 2, 2, 128, 26, 3, 2, 2, 2, 129, 130, 7, 46, 2, 2, 130, 28, 3, 2, 2, 2, 131, 132, 7, 104, 2, 2, 132, 133, 7, 107, 2, 2, 133, 134, 7, 122, 2, 2, 134, 135, 7, 103, 2, 2, 135, 136, 7, 102, 2, 2, 136, 30, 3, 2, 2, 2, 137, 138, 7, 63, 2, 2, 138, 32, 3, 2, 2, 2, 139, 140, 7, 42, 2, 2, 140, 34, 3, 2, 2, 2, 141, 142, 7, 43, 2, 2, 142, 36, 3, 2, 2, 2, 143, 145, 9, 2, 2, 2, 144, 143, 3, 2, 2, 2, 145, 149, 3, 2, 2, 2, 146, 148, 9, 3, 2, 2, 147, 146, 3, 2, 2, 2, 148, 151, 3, 2, 2, 2, 149, 147, 3, 2, 2, 2, 149, 150, 3, 2, 2, 2, 150, 38, 3, 2, 2, 2, 151, 149, 3, 2, 2, 2, 152, 161, 7, 50, 2, 2, 153, 157, 9, 4, 2, 2, 154, 156, 9, 5, 2, 2, 155, 154, 3, 2, 2, 2, 156, 159, 3, 2, 2, 2, 157, 155, 3, 2, 2, 2, 157, 158, 3, 2, 2, 2, 158, 161, 3, 2, 2, 2, 159, 157, 3, 2, 2, 2, 160, 152, 3, 2, 2, 2, 160, 153, 3, 2, 2, 2, 161, 40, 3, 2, 2, 2, 162, 163, 9, 6, 2, 2, 163, 164, 3, 2, 2, 2, 164, 165, 8, 21, 2, 2, 165, 42, 3, 2, 2, 2, 166, 168, 7, 15, 2, 2, 167, 166, 3, 2, 2, 2, 167, 168, 3, 2, 2, 2, 168, 169, 3, 2, 2, 2, 169, 172, 7, 12, 2, 2, 170, 172, 7, 15, 2, 2, 171, 167, 3, 2, 2, 2, 171, 170, 3, 2, 2, 2, 172, 173, 3, 2, 2, 2, 173, 174, 8, 22, 2, 2, 174, 44, 3, 2, 2, 2, 10, 2, 144, 147, 149, 157, 160, 167, 171, 3, 8, 2, 2]
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.tokens b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.tokens
new file mode 100644
index 0000000000000000000000000000000000000000..f045c4e0dd3118664b4921189098760f1d4b31d1
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskLexer.tokens
@@ -0,0 +1,38 @@
+T__0=1
+T__1=2
+T__2=3
+T__3=4
+T__4=5
+T__5=6
+T__6=7
+T__7=8
+T__8=9
+T__9=10
+T__10=11
+T__11=12
+T__12=13
+T__13=14
+T__14=15
+T__15=16
+T__16=17
+BEZ=18
+NAT=19
+WHITESPACE=20
+NEWLINE=21
+'task'=1
+'proof lemmata'=2
+':'=3
+'lemmata'=4
+'induction'=5
+'case'=6
+'IH'=7
+'maxpt'=8
+'maxPt'=9
+'minsteps'=10
+'maxsteps'=11
+'forall'=12
+','=13
+'fixed'=14
+'='=15
+'('=16
+')'=17
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskListener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskListener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..d7fdb8ff0320bda6e5123ffa250543527a06c6a2
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskListener.cs
@@ -0,0 +1,275 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Task.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Task_Parser {
+using Antlr4.Runtime.Misc;
+using IParseTreeListener = Antlr4.Runtime.Tree.IParseTreeListener;
+using IToken = Antlr4.Runtime.IToken;
+
+/// <summary>
+/// This interface defines a complete listener for a parse tree produced by
+/// <see cref="TaskParser"/>.
+/// </summary>
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public interface ITaskListener : IParseTreeListener {
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTask([NotNull] TaskParser.TaskContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTask([NotNull] TaskParser.TaskContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTask_eq([NotNull] TaskParser.Task_eqContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTask_eq([NotNull] TaskParser.Task_eqContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.lemma_tasks"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.lemma_tasks"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitLemma_tasks([NotNull] TaskParser.Lemma_tasksContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.lemma_task"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterLemma_task([NotNull] TaskParser.Lemma_taskContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.lemma_task"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitLemma_task([NotNull] TaskParser.Lemma_taskContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_lemmata"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTask_lemmata([NotNull] TaskParser.Task_lemmataContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_lemmata"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTask_lemmata([NotNull] TaskParser.Task_lemmataContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_lemma"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTask_lemma([NotNull] TaskParser.Task_lemmaContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_lemma"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTask_lemma([NotNull] TaskParser.Task_lemmaContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ind_var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_var([NotNull] TaskParser.Ind_varContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ind_var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_var([NotNull] TaskParser.Ind_varContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.config"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterConfig([NotNull] TaskParser.ConfigContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.config"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitConfig([NotNull] TaskParser.ConfigContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ind_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterInd_pt([NotNull] TaskParser.Ind_ptContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ind_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitInd_pt([NotNull] TaskParser.Ind_ptContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.case_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterCase_pt([NotNull] TaskParser.Case_ptContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.case_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitCase_pt([NotNull] TaskParser.Case_ptContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.ih_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterIh_pt([NotNull] TaskParser.Ih_ptContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.ih_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitIh_pt([NotNull] TaskParser.Ih_ptContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.task_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTask_pt([NotNull] TaskParser.Task_ptContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.task_pt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTask_pt([NotNull] TaskParser.Task_ptContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.maxpt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMaxpt([NotNull] TaskParser.MaxptContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.maxpt"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMaxpt([NotNull] TaskParser.MaxptContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.minsteps"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMinsteps([NotNull] TaskParser.MinstepsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.minsteps"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMinsteps([NotNull] TaskParser.MinstepsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.maxsteps"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMaxsteps([NotNull] TaskParser.MaxstepsContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.maxsteps"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMaxsteps([NotNull] TaskParser.MaxstepsContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterVar([NotNull] TaskParser.VarContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.var"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitVar([NotNull] TaskParser.VarContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterSort([NotNull] TaskParser.SortContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.sort"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitSort([NotNull] TaskParser.SortContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.forall"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterForall([NotNull] TaskParser.ForallContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.forall"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitForall([NotNull] TaskParser.ForallContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.fixed"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterFixed([NotNull] TaskParser.FixedContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.fixed"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitFixed([NotNull] TaskParser.FixedContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.eq_var_def"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterEq_var_def([NotNull] TaskParser.Eq_var_defContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.eq_var_def"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitEq_var_def([NotNull] TaskParser.Eq_var_defContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterEq([NotNull] TaskParser.EqContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.eq"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitEq([NotNull] TaskParser.EqContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterMytree([NotNull] TaskParser.MytreeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.mytree"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitMytree([NotNull] TaskParser.MytreeContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeLeaf([NotNull] TaskParser.TreeLeafContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.treeLeaf"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeLeaf([NotNull] TaskParser.TreeLeafContext context);
+	/// <summary>
+	/// Enter a parse tree produced by <see cref="TaskParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void EnterTreeNode([NotNull] TaskParser.TreeNodeContext context);
+	/// <summary>
+	/// Exit a parse tree produced by <see cref="TaskParser.treeNode"/>.
+	/// </summary>
+	/// <param name="context">The parse tree.</param>
+	void ExitTreeNode([NotNull] TaskParser.TreeNodeContext context);
+}
+} // namespace Eingabeverwaltung.Parser.Task_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskParser.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskParser.cs
new file mode 100644
index 0000000000000000000000000000000000000000..aee8ce853c8420a6ef2474647d29d5e79bd33a95
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/Task_Parser/TaskParser.cs
@@ -0,0 +1,1500 @@
+//------------------------------------------------------------------------------
+// <auto-generated>
+//     This code was generated by a tool.
+//     ANTLR Version: 4.8
+//
+//     Changes to this file may cause incorrect behavior and will be lost if
+//     the code is regenerated.
+// </auto-generated>
+//------------------------------------------------------------------------------
+
+// Generated from Task.g4 by ANTLR 4.8
+
+// Unreachable code detected
+#pragma warning disable 0162
+// The variable '...' is assigned but its value is never used
+#pragma warning disable 0219
+// Missing XML comment for publicly visible type or member '...'
+#pragma warning disable 1591
+// Ambiguous reference in cref attribute
+#pragma warning disable 419
+
+namespace Eingabeverwaltung.Parser.Task_Parser {
+using System;
+using System.IO;
+using System.Text;
+using System.Diagnostics;
+using System.Collections.Generic;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Atn;
+using Antlr4.Runtime.Misc;
+using Antlr4.Runtime.Tree;
+using DFA = Antlr4.Runtime.Dfa.DFA;
+
+[System.CodeDom.Compiler.GeneratedCode("ANTLR", "4.8")]
+[System.CLSCompliant(false)]
+public partial class TaskParser : Parser {
+	protected static DFA[] decisionToDFA;
+	protected static PredictionContextCache sharedContextCache = new PredictionContextCache();
+	public const int
+		T__0=1, T__1=2, T__2=3, T__3=4, T__4=5, T__5=6, T__6=7, T__7=8, T__8=9, 
+		T__9=10, T__10=11, T__11=12, T__12=13, T__13=14, T__14=15, T__15=16, T__16=17, 
+		BEZ=18, NAT=19, WHITESPACE=20, NEWLINE=21;
+	public const int
+		RULE_task = 0, RULE_task_eq = 1, RULE_lemma_tasks = 2, RULE_lemma_task = 3, 
+		RULE_task_lemmata = 4, RULE_task_lemma = 5, RULE_ind_var = 6, RULE_config = 7, 
+		RULE_ind_pt = 8, RULE_case_pt = 9, RULE_ih_pt = 10, RULE_task_pt = 11, 
+		RULE_maxpt = 12, RULE_minsteps = 13, RULE_maxsteps = 14, RULE_var = 15, 
+		RULE_sort = 16, RULE_forall = 17, RULE_fixed = 18, RULE_eq_var_def = 19, 
+		RULE_eq = 20, RULE_mytree = 21, RULE_treeLeaf = 22, RULE_treeNode = 23;
+	public static readonly string[] ruleNames = {
+		"task", "task_eq", "lemma_tasks", "lemma_task", "task_lemmata", "task_lemma", 
+		"ind_var", "config", "ind_pt", "case_pt", "ih_pt", "task_pt", "maxpt", 
+		"minsteps", "maxsteps", "var", "sort", "forall", "fixed", "eq_var_def", 
+		"eq", "mytree", "treeLeaf", "treeNode"
+	};
+
+	private static readonly string[] _LiteralNames = {
+		null, "'task'", "'proof lemmata'", "':'", "'lemmata'", "'induction'", 
+		"'case'", "'IH'", "'maxpt'", "'maxPt'", "'minsteps'", "'maxsteps'", "'forall'", 
+		"','", "'fixed'", "'='", "'('", "')'"
+	};
+	private static readonly string[] _SymbolicNames = {
+		null, null, null, null, null, null, null, null, null, null, null, null, 
+		null, null, null, null, null, null, "BEZ", "NAT", "WHITESPACE", "NEWLINE"
+	};
+	public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
+
+	[NotNull]
+	public override IVocabulary Vocabulary
+	{
+		get
+		{
+			return DefaultVocabulary;
+		}
+	}
+
+	public override string GrammarFileName { get { return "Task.g4"; } }
+
+	public override string[] RuleNames { get { return ruleNames; } }
+
+	public override string SerializedAtn { get { return new string(_serializedATN); } }
+
+	static TaskParser() {
+		decisionToDFA = new DFA[_ATN.NumberOfDecisions];
+		for (int i = 0; i < _ATN.NumberOfDecisions; i++) {
+			decisionToDFA[i] = new DFA(_ATN.GetDecisionState(i), i);
+		}
+	}
+
+		public TaskParser(ITokenStream input) : this(input, Console.Out, Console.Error) { }
+
+		public TaskParser(ITokenStream input, TextWriter output, TextWriter errorOutput)
+		: base(input, output, errorOutput)
+	{
+		Interpreter = new ParserATNSimulator(this, _ATN, decisionToDFA, sharedContextCache);
+	}
+
+	public partial class TaskContext : ParserRuleContext {
+		public Task_eqContext task_eq() {
+			return GetRuleContext<Task_eqContext>(0);
+		}
+		public ITerminalNode Eof() { return GetToken(TaskParser.Eof, 0); }
+		public Lemma_tasksContext lemma_tasks() {
+			return GetRuleContext<Lemma_tasksContext>(0);
+		}
+		public Task_lemmataContext task_lemmata() {
+			return GetRuleContext<Task_lemmataContext>(0);
+		}
+		public TaskContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_task; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTask(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTask(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TaskContext task() {
+		TaskContext _localctx = new TaskContext(Context, State);
+		EnterRule(_localctx, 0, RULE_task);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 48; task_eq();
+			State = 50;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__1) {
+				{
+				State = 49; lemma_tasks();
+				}
+			}
+
+			State = 53;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__3) {
+				{
+				State = 52; task_lemmata();
+				}
+			}
+
+			State = 55; Match(Eof);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Task_eqContext : ParserRuleContext {
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public ConfigContext config() {
+			return GetRuleContext<ConfigContext>(0);
+		}
+		public Ind_varContext ind_var() {
+			return GetRuleContext<Ind_varContext>(0);
+		}
+		public Task_eqContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_task_eq; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTask_eq(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTask_eq(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Task_eqContext task_eq() {
+		Task_eqContext _localctx = new Task_eqContext(Context, State);
+		EnterRule(_localctx, 2, RULE_task_eq);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 57; Match(T__0);
+			State = 58; eq();
+			State = 60;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__4) {
+				{
+				State = 59; ind_var();
+				}
+			}
+
+			State = 62; config();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Lemma_tasksContext : ParserRuleContext {
+		public Lemma_taskContext[] lemma_task() {
+			return GetRuleContexts<Lemma_taskContext>();
+		}
+		public Lemma_taskContext lemma_task(int i) {
+			return GetRuleContext<Lemma_taskContext>(i);
+		}
+		public Lemma_tasksContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_lemma_tasks; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterLemma_tasks(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitLemma_tasks(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Lemma_tasksContext lemma_tasks() {
+		Lemma_tasksContext _localctx = new Lemma_tasksContext(Context, State);
+		EnterRule(_localctx, 4, RULE_lemma_tasks);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 64; Match(T__1);
+			State = 66;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 65; lemma_task();
+				}
+				}
+				State = 68;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==BEZ );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Lemma_taskContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public ConfigContext config() {
+			return GetRuleContext<ConfigContext>(0);
+		}
+		public Ind_varContext ind_var() {
+			return GetRuleContext<Ind_varContext>(0);
+		}
+		public Lemma_taskContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_lemma_task; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterLemma_task(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitLemma_task(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Lemma_taskContext lemma_task() {
+		Lemma_taskContext _localctx = new Lemma_taskContext(Context, State);
+		EnterRule(_localctx, 6, RULE_lemma_task);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 70; Match(BEZ);
+			State = 71; Match(T__2);
+			State = 72; eq();
+			State = 74;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			if (_la==T__4) {
+				{
+				State = 73; ind_var();
+				}
+			}
+
+			State = 76; config();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Task_lemmataContext : ParserRuleContext {
+		public Task_lemmaContext[] task_lemma() {
+			return GetRuleContexts<Task_lemmaContext>();
+		}
+		public Task_lemmaContext task_lemma(int i) {
+			return GetRuleContext<Task_lemmaContext>(i);
+		}
+		public Task_lemmataContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_task_lemmata; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTask_lemmata(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTask_lemmata(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Task_lemmataContext task_lemmata() {
+		Task_lemmataContext _localctx = new Task_lemmataContext(Context, State);
+		EnterRule(_localctx, 8, RULE_task_lemmata);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 78; Match(T__3);
+			State = 80;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 79; task_lemma();
+				}
+				}
+				State = 82;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==BEZ );
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Task_lemmaContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public EqContext eq() {
+			return GetRuleContext<EqContext>(0);
+		}
+		public Task_lemmaContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_task_lemma; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTask_lemma(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTask_lemma(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Task_lemmaContext task_lemma() {
+		Task_lemmaContext _localctx = new Task_lemmaContext(Context, State);
+		EnterRule(_localctx, 10, RULE_task_lemma);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 84; Match(BEZ);
+			State = 85; Match(T__2);
+			State = 86; eq();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_varContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public Ind_varContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_var; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterInd_var(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitInd_var(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_varContext ind_var() {
+		Ind_varContext _localctx = new Ind_varContext(Context, State);
+		EnterRule(_localctx, 12, RULE_ind_var);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 88; Match(T__4);
+			State = 89; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class ConfigContext : ParserRuleContext {
+		public Task_ptContext task_pt() {
+			return GetRuleContext<Task_ptContext>(0);
+		}
+		public Ind_ptContext ind_pt() {
+			return GetRuleContext<Ind_ptContext>(0);
+		}
+		public ConfigContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_config; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterConfig(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitConfig(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public ConfigContext config() {
+		ConfigContext _localctx = new ConfigContext(Context, State);
+		EnterRule(_localctx, 14, RULE_config);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 93;
+			ErrorHandler.Sync(this);
+			switch (TokenStream.LA(1)) {
+			case T__7:
+			case T__8:
+				{
+				State = 91; task_pt();
+				}
+				break;
+			case T__5:
+				{
+				State = 92; ind_pt();
+				}
+				break;
+			default:
+				throw new NoViableAltException(this);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ind_ptContext : ParserRuleContext {
+		public Ih_ptContext ih_pt() {
+			return GetRuleContext<Ih_ptContext>(0);
+		}
+		public Case_ptContext[] case_pt() {
+			return GetRuleContexts<Case_ptContext>();
+		}
+		public Case_ptContext case_pt(int i) {
+			return GetRuleContext<Case_ptContext>(i);
+		}
+		public Ind_ptContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ind_pt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterInd_pt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitInd_pt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ind_ptContext ind_pt() {
+		Ind_ptContext _localctx = new Ind_ptContext(Context, State);
+		EnterRule(_localctx, 16, RULE_ind_pt);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 96;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			do {
+				{
+				{
+				State = 95; case_pt();
+				}
+				}
+				State = 98;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			} while ( _la==T__5 );
+			State = 100; ih_pt();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Case_ptContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public Task_ptContext task_pt() {
+			return GetRuleContext<Task_ptContext>(0);
+		}
+		public Case_ptContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_case_pt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterCase_pt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitCase_pt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Case_ptContext case_pt() {
+		Case_ptContext _localctx = new Case_ptContext(Context, State);
+		EnterRule(_localctx, 18, RULE_case_pt);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 102; Match(T__5);
+			State = 103; Match(BEZ);
+			State = 104; task_pt();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Ih_ptContext : ParserRuleContext {
+		public MaxptContext maxpt() {
+			return GetRuleContext<MaxptContext>(0);
+		}
+		public Ih_ptContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_ih_pt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterIh_pt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitIh_pt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Ih_ptContext ih_pt() {
+		Ih_ptContext _localctx = new Ih_ptContext(Context, State);
+		EnterRule(_localctx, 20, RULE_ih_pt);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 106; Match(T__6);
+			State = 107; maxpt();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Task_ptContext : ParserRuleContext {
+		public MaxptContext maxpt() {
+			return GetRuleContext<MaxptContext>(0);
+		}
+		public MinstepsContext minsteps() {
+			return GetRuleContext<MinstepsContext>(0);
+		}
+		public MaxstepsContext maxsteps() {
+			return GetRuleContext<MaxstepsContext>(0);
+		}
+		public Task_ptContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_task_pt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTask_pt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTask_pt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Task_ptContext task_pt() {
+		Task_ptContext _localctx = new Task_ptContext(Context, State);
+		EnterRule(_localctx, 22, RULE_task_pt);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 109; maxpt();
+			State = 110; minsteps();
+			State = 111; maxsteps();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MaxptContext : ParserRuleContext {
+		public ITerminalNode NAT() { return GetToken(TaskParser.NAT, 0); }
+		public MaxptContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_maxpt; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterMaxpt(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitMaxpt(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MaxptContext maxpt() {
+		MaxptContext _localctx = new MaxptContext(Context, State);
+		EnterRule(_localctx, 24, RULE_maxpt);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 113;
+			_la = TokenStream.LA(1);
+			if ( !(_la==T__7 || _la==T__8) ) {
+			ErrorHandler.RecoverInline(this);
+			}
+			else {
+				ErrorHandler.ReportMatch(this);
+			    Consume();
+			}
+			State = 114; Match(NAT);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MinstepsContext : ParserRuleContext {
+		public ITerminalNode NAT() { return GetToken(TaskParser.NAT, 0); }
+		public MinstepsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_minsteps; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterMinsteps(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitMinsteps(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MinstepsContext minsteps() {
+		MinstepsContext _localctx = new MinstepsContext(Context, State);
+		EnterRule(_localctx, 26, RULE_minsteps);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 116; Match(T__9);
+			State = 117; Match(NAT);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MaxstepsContext : ParserRuleContext {
+		public ITerminalNode NAT() { return GetToken(TaskParser.NAT, 0); }
+		public MaxstepsContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_maxsteps; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterMaxsteps(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitMaxsteps(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MaxstepsContext maxsteps() {
+		MaxstepsContext _localctx = new MaxstepsContext(Context, State);
+		EnterRule(_localctx, 28, RULE_maxsteps);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 119; Match(T__10);
+			State = 120; Match(NAT);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class VarContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public SortContext sort() {
+			return GetRuleContext<SortContext>(0);
+		}
+		public VarContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_var; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterVar(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitVar(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public VarContext var() {
+		VarContext _localctx = new VarContext(Context, State);
+		EnterRule(_localctx, 30, RULE_var);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 122; Match(BEZ);
+			State = 123; Match(T__2);
+			State = 124; sort();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class SortContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public SortContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_sort; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterSort(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitSort(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public SortContext sort() {
+		SortContext _localctx = new SortContext(Context, State);
+		EnterRule(_localctx, 32, RULE_sort);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 126; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class ForallContext : ParserRuleContext {
+		public VarContext[] var() {
+			return GetRuleContexts<VarContext>();
+		}
+		public VarContext var(int i) {
+			return GetRuleContext<VarContext>(i);
+		}
+		public ForallContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_forall; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterForall(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitForall(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public ForallContext forall() {
+		ForallContext _localctx = new ForallContext(Context, State);
+		EnterRule(_localctx, 34, RULE_forall);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 128; Match(T__11);
+			State = 129; var();
+			State = 134;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__12) {
+				{
+				{
+				State = 130; Match(T__12);
+				State = 131; var();
+				}
+				}
+				State = 136;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class FixedContext : ParserRuleContext {
+		public VarContext[] var() {
+			return GetRuleContexts<VarContext>();
+		}
+		public VarContext var(int i) {
+			return GetRuleContext<VarContext>(i);
+		}
+		public FixedContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_fixed; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterFixed(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitFixed(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public FixedContext @fixed() {
+		FixedContext _localctx = new FixedContext(Context, State);
+		EnterRule(_localctx, 36, RULE_fixed);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 137; Match(T__13);
+			State = 138; var();
+			State = 143;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__12) {
+				{
+				{
+				State = 139; Match(T__12);
+				State = 140; var();
+				}
+				}
+				State = 145;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class Eq_var_defContext : ParserRuleContext {
+		public FixedContext @fixed() {
+			return GetRuleContext<FixedContext>(0);
+		}
+		public ForallContext forall() {
+			return GetRuleContext<ForallContext>(0);
+		}
+		public Eq_var_defContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_eq_var_def; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterEq_var_def(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitEq_var_def(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public Eq_var_defContext eq_var_def() {
+		Eq_var_defContext _localctx = new Eq_var_defContext(Context, State);
+		EnterRule(_localctx, 38, RULE_eq_var_def);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 162;
+			ErrorHandler.Sync(this);
+			switch (TokenStream.LA(1)) {
+			case T__13:
+				{
+				{
+				State = 146; @fixed();
+				State = 147; Match(T__2);
+				}
+				State = 152;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				if (_la==T__11) {
+					{
+					State = 149; forall();
+					State = 150; Match(T__2);
+					}
+				}
+
+				}
+				break;
+			case T__11:
+				{
+				{
+				State = 154; forall();
+				State = 155; Match(T__2);
+				}
+				State = 160;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+				if (_la==T__13) {
+					{
+					State = 157; @fixed();
+					State = 158; Match(T__2);
+					}
+				}
+
+				}
+				break;
+			case BEZ:
+				break;
+			default:
+				break;
+			}
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class EqContext : ParserRuleContext {
+		public Eq_var_defContext eq_var_def() {
+			return GetRuleContext<Eq_var_defContext>(0);
+		}
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public EqContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_eq; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterEq(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitEq(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public EqContext eq() {
+		EqContext _localctx = new EqContext(Context, State);
+		EnterRule(_localctx, 40, RULE_eq);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 164; eq_var_def();
+			State = 165; mytree();
+			State = 166; Match(T__14);
+			State = 167; mytree();
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class MytreeContext : ParserRuleContext {
+		public TreeLeafContext treeLeaf() {
+			return GetRuleContext<TreeLeafContext>(0);
+		}
+		public TreeNodeContext treeNode() {
+			return GetRuleContext<TreeNodeContext>(0);
+		}
+		public MytreeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_mytree; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterMytree(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitMytree(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public MytreeContext mytree() {
+		MytreeContext _localctx = new MytreeContext(Context, State);
+		EnterRule(_localctx, 42, RULE_mytree);
+		try {
+			State = 171;
+			ErrorHandler.Sync(this);
+			switch ( Interpreter.AdaptivePredict(TokenStream,13,Context) ) {
+			case 1:
+				EnterOuterAlt(_localctx, 1);
+				{
+				State = 169; treeLeaf();
+				}
+				break;
+			case 2:
+				EnterOuterAlt(_localctx, 2);
+				{
+				State = 170; treeNode();
+				}
+				break;
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeLeafContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public TreeLeafContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeLeaf; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTreeLeaf(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTreeLeaf(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeLeafContext treeLeaf() {
+		TreeLeafContext _localctx = new TreeLeafContext(Context, State);
+		EnterRule(_localctx, 44, RULE_treeLeaf);
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 173; Match(BEZ);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	public partial class TreeNodeContext : ParserRuleContext {
+		public ITerminalNode BEZ() { return GetToken(TaskParser.BEZ, 0); }
+		public MytreeContext[] mytree() {
+			return GetRuleContexts<MytreeContext>();
+		}
+		public MytreeContext mytree(int i) {
+			return GetRuleContext<MytreeContext>(i);
+		}
+		public TreeNodeContext(ParserRuleContext parent, int invokingState)
+			: base(parent, invokingState)
+		{
+		}
+		public override int RuleIndex { get { return RULE_treeNode; } }
+		public override void EnterRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.EnterTreeNode(this);
+		}
+		public override void ExitRule(IParseTreeListener listener) {
+			ITaskListener typedListener = listener as ITaskListener;
+			if (typedListener != null) typedListener.ExitTreeNode(this);
+		}
+	}
+
+	[RuleVersion(0)]
+	public TreeNodeContext treeNode() {
+		TreeNodeContext _localctx = new TreeNodeContext(Context, State);
+		EnterRule(_localctx, 46, RULE_treeNode);
+		int _la;
+		try {
+			EnterOuterAlt(_localctx, 1);
+			{
+			State = 175; Match(BEZ);
+			State = 176; Match(T__15);
+			State = 177; mytree();
+			State = 182;
+			ErrorHandler.Sync(this);
+			_la = TokenStream.LA(1);
+			while (_la==T__12) {
+				{
+				{
+				State = 178; Match(T__12);
+				State = 179; mytree();
+				}
+				}
+				State = 184;
+				ErrorHandler.Sync(this);
+				_la = TokenStream.LA(1);
+			}
+			State = 185; Match(T__16);
+			}
+		}
+		catch (RecognitionException re) {
+			_localctx.exception = re;
+			ErrorHandler.ReportError(this, re);
+			ErrorHandler.Recover(this, re);
+		}
+		finally {
+			ExitRule();
+		}
+		return _localctx;
+	}
+
+	private static char[] _serializedATN = {
+		'\x3', '\x608B', '\xA72A', '\x8133', '\xB9ED', '\x417C', '\x3BE7', '\x7786', 
+		'\x5964', '\x3', '\x17', '\xBE', '\x4', '\x2', '\t', '\x2', '\x4', '\x3', 
+		'\t', '\x3', '\x4', '\x4', '\t', '\x4', '\x4', '\x5', '\t', '\x5', '\x4', 
+		'\x6', '\t', '\x6', '\x4', '\a', '\t', '\a', '\x4', '\b', '\t', '\b', 
+		'\x4', '\t', '\t', '\t', '\x4', '\n', '\t', '\n', '\x4', '\v', '\t', '\v', 
+		'\x4', '\f', '\t', '\f', '\x4', '\r', '\t', '\r', '\x4', '\xE', '\t', 
+		'\xE', '\x4', '\xF', '\t', '\xF', '\x4', '\x10', '\t', '\x10', '\x4', 
+		'\x11', '\t', '\x11', '\x4', '\x12', '\t', '\x12', '\x4', '\x13', '\t', 
+		'\x13', '\x4', '\x14', '\t', '\x14', '\x4', '\x15', '\t', '\x15', '\x4', 
+		'\x16', '\t', '\x16', '\x4', '\x17', '\t', '\x17', '\x4', '\x18', '\t', 
+		'\x18', '\x4', '\x19', '\t', '\x19', '\x3', '\x2', '\x3', '\x2', '\x5', 
+		'\x2', '\x35', '\n', '\x2', '\x3', '\x2', '\x5', '\x2', '\x38', '\n', 
+		'\x2', '\x3', '\x2', '\x3', '\x2', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x3', '\x5', '\x3', '?', '\n', '\x3', '\x3', '\x3', '\x3', '\x3', '\x3', 
+		'\x4', '\x3', '\x4', '\x6', '\x4', '\x45', '\n', '\x4', '\r', '\x4', '\xE', 
+		'\x4', '\x46', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x5', 
+		'\x5', '\x5', 'M', '\n', '\x5', '\x3', '\x5', '\x3', '\x5', '\x3', '\x6', 
+		'\x3', '\x6', '\x6', '\x6', 'S', '\n', '\x6', '\r', '\x6', '\xE', '\x6', 
+		'T', '\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\a', '\x3', '\b', 
+		'\x3', '\b', '\x3', '\b', '\x3', '\t', '\x3', '\t', '\x5', '\t', '`', 
+		'\n', '\t', '\x3', '\n', '\x6', '\n', '\x63', '\n', '\n', '\r', '\n', 
+		'\xE', '\n', '\x64', '\x3', '\n', '\x3', '\n', '\x3', '\v', '\x3', '\v', 
+		'\x3', '\v', '\x3', '\v', '\x3', '\f', '\x3', '\f', '\x3', '\f', '\x3', 
+		'\r', '\x3', '\r', '\x3', '\r', '\x3', '\r', '\x3', '\xE', '\x3', '\xE', 
+		'\x3', '\xE', '\x3', '\xF', '\x3', '\xF', '\x3', '\xF', '\x3', '\x10', 
+		'\x3', '\x10', '\x3', '\x10', '\x3', '\x11', '\x3', '\x11', '\x3', '\x11', 
+		'\x3', '\x11', '\x3', '\x12', '\x3', '\x12', '\x3', '\x13', '\x3', '\x13', 
+		'\x3', '\x13', '\x3', '\x13', '\a', '\x13', '\x87', '\n', '\x13', '\f', 
+		'\x13', '\xE', '\x13', '\x8A', '\v', '\x13', '\x3', '\x14', '\x3', '\x14', 
+		'\x3', '\x14', '\x3', '\x14', '\a', '\x14', '\x90', '\n', '\x14', '\f', 
+		'\x14', '\xE', '\x14', '\x93', '\v', '\x14', '\x3', '\x15', '\x3', '\x15', 
+		'\x3', '\x15', '\x3', '\x15', '\x3', '\x15', '\x3', '\x15', '\x5', '\x15', 
+		'\x9B', '\n', '\x15', '\x3', '\x15', '\x3', '\x15', '\x3', '\x15', '\x3', 
+		'\x15', '\x3', '\x15', '\x3', '\x15', '\x5', '\x15', '\xA3', '\n', '\x15', 
+		'\x5', '\x15', '\xA5', '\n', '\x15', '\x3', '\x16', '\x3', '\x16', '\x3', 
+		'\x16', '\x3', '\x16', '\x3', '\x16', '\x3', '\x17', '\x3', '\x17', '\x5', 
+		'\x17', '\xAE', '\n', '\x17', '\x3', '\x18', '\x3', '\x18', '\x3', '\x19', 
+		'\x3', '\x19', '\x3', '\x19', '\x3', '\x19', '\x3', '\x19', '\a', '\x19', 
+		'\xB7', '\n', '\x19', '\f', '\x19', '\xE', '\x19', '\xBA', '\v', '\x19', 
+		'\x3', '\x19', '\x3', '\x19', '\x3', '\x19', '\x2', '\x2', '\x1A', '\x2', 
+		'\x4', '\x6', '\b', '\n', '\f', '\xE', '\x10', '\x12', '\x14', '\x16', 
+		'\x18', '\x1A', '\x1C', '\x1E', ' ', '\"', '$', '&', '(', '*', ',', '.', 
+		'\x30', '\x2', '\x3', '\x3', '\x2', '\n', '\v', '\x2', '\xB5', '\x2', 
+		'\x32', '\x3', '\x2', '\x2', '\x2', '\x4', ';', '\x3', '\x2', '\x2', '\x2', 
+		'\x6', '\x42', '\x3', '\x2', '\x2', '\x2', '\b', 'H', '\x3', '\x2', '\x2', 
+		'\x2', '\n', 'P', '\x3', '\x2', '\x2', '\x2', '\f', 'V', '\x3', '\x2', 
+		'\x2', '\x2', '\xE', 'Z', '\x3', '\x2', '\x2', '\x2', '\x10', '_', '\x3', 
+		'\x2', '\x2', '\x2', '\x12', '\x62', '\x3', '\x2', '\x2', '\x2', '\x14', 
+		'h', '\x3', '\x2', '\x2', '\x2', '\x16', 'l', '\x3', '\x2', '\x2', '\x2', 
+		'\x18', 'o', '\x3', '\x2', '\x2', '\x2', '\x1A', 's', '\x3', '\x2', '\x2', 
+		'\x2', '\x1C', 'v', '\x3', '\x2', '\x2', '\x2', '\x1E', 'y', '\x3', '\x2', 
+		'\x2', '\x2', ' ', '|', '\x3', '\x2', '\x2', '\x2', '\"', '\x80', '\x3', 
+		'\x2', '\x2', '\x2', '$', '\x82', '\x3', '\x2', '\x2', '\x2', '&', '\x8B', 
+		'\x3', '\x2', '\x2', '\x2', '(', '\xA4', '\x3', '\x2', '\x2', '\x2', '*', 
+		'\xA6', '\x3', '\x2', '\x2', '\x2', ',', '\xAD', '\x3', '\x2', '\x2', 
+		'\x2', '.', '\xAF', '\x3', '\x2', '\x2', '\x2', '\x30', '\xB1', '\x3', 
+		'\x2', '\x2', '\x2', '\x32', '\x34', '\x5', '\x4', '\x3', '\x2', '\x33', 
+		'\x35', '\x5', '\x6', '\x4', '\x2', '\x34', '\x33', '\x3', '\x2', '\x2', 
+		'\x2', '\x34', '\x35', '\x3', '\x2', '\x2', '\x2', '\x35', '\x37', '\x3', 
+		'\x2', '\x2', '\x2', '\x36', '\x38', '\x5', '\n', '\x6', '\x2', '\x37', 
+		'\x36', '\x3', '\x2', '\x2', '\x2', '\x37', '\x38', '\x3', '\x2', '\x2', 
+		'\x2', '\x38', '\x39', '\x3', '\x2', '\x2', '\x2', '\x39', ':', '\a', 
+		'\x2', '\x2', '\x3', ':', '\x3', '\x3', '\x2', '\x2', '\x2', ';', '<', 
+		'\a', '\x3', '\x2', '\x2', '<', '>', '\x5', '*', '\x16', '\x2', '=', '?', 
+		'\x5', '\xE', '\b', '\x2', '>', '=', '\x3', '\x2', '\x2', '\x2', '>', 
+		'?', '\x3', '\x2', '\x2', '\x2', '?', '@', '\x3', '\x2', '\x2', '\x2', 
+		'@', '\x41', '\x5', '\x10', '\t', '\x2', '\x41', '\x5', '\x3', '\x2', 
+		'\x2', '\x2', '\x42', '\x44', '\a', '\x4', '\x2', '\x2', '\x43', '\x45', 
+		'\x5', '\b', '\x5', '\x2', '\x44', '\x43', '\x3', '\x2', '\x2', '\x2', 
+		'\x45', '\x46', '\x3', '\x2', '\x2', '\x2', '\x46', '\x44', '\x3', '\x2', 
+		'\x2', '\x2', '\x46', 'G', '\x3', '\x2', '\x2', '\x2', 'G', '\a', '\x3', 
+		'\x2', '\x2', '\x2', 'H', 'I', '\a', '\x14', '\x2', '\x2', 'I', 'J', '\a', 
+		'\x5', '\x2', '\x2', 'J', 'L', '\x5', '*', '\x16', '\x2', 'K', 'M', '\x5', 
+		'\xE', '\b', '\x2', 'L', 'K', '\x3', '\x2', '\x2', '\x2', 'L', 'M', '\x3', 
+		'\x2', '\x2', '\x2', 'M', 'N', '\x3', '\x2', '\x2', '\x2', 'N', 'O', '\x5', 
+		'\x10', '\t', '\x2', 'O', '\t', '\x3', '\x2', '\x2', '\x2', 'P', 'R', 
+		'\a', '\x6', '\x2', '\x2', 'Q', 'S', '\x5', '\f', '\a', '\x2', 'R', 'Q', 
+		'\x3', '\x2', '\x2', '\x2', 'S', 'T', '\x3', '\x2', '\x2', '\x2', 'T', 
+		'R', '\x3', '\x2', '\x2', '\x2', 'T', 'U', '\x3', '\x2', '\x2', '\x2', 
+		'U', '\v', '\x3', '\x2', '\x2', '\x2', 'V', 'W', '\a', '\x14', '\x2', 
+		'\x2', 'W', 'X', '\a', '\x5', '\x2', '\x2', 'X', 'Y', '\x5', '*', '\x16', 
+		'\x2', 'Y', '\r', '\x3', '\x2', '\x2', '\x2', 'Z', '[', '\a', '\a', '\x2', 
+		'\x2', '[', '\\', '\a', '\x14', '\x2', '\x2', '\\', '\xF', '\x3', '\x2', 
+		'\x2', '\x2', ']', '`', '\x5', '\x18', '\r', '\x2', '^', '`', '\x5', '\x12', 
+		'\n', '\x2', '_', ']', '\x3', '\x2', '\x2', '\x2', '_', '^', '\x3', '\x2', 
+		'\x2', '\x2', '`', '\x11', '\x3', '\x2', '\x2', '\x2', '\x61', '\x63', 
+		'\x5', '\x14', '\v', '\x2', '\x62', '\x61', '\x3', '\x2', '\x2', '\x2', 
+		'\x63', '\x64', '\x3', '\x2', '\x2', '\x2', '\x64', '\x62', '\x3', '\x2', 
+		'\x2', '\x2', '\x64', '\x65', '\x3', '\x2', '\x2', '\x2', '\x65', '\x66', 
+		'\x3', '\x2', '\x2', '\x2', '\x66', 'g', '\x5', '\x16', '\f', '\x2', 'g', 
+		'\x13', '\x3', '\x2', '\x2', '\x2', 'h', 'i', '\a', '\b', '\x2', '\x2', 
+		'i', 'j', '\a', '\x14', '\x2', '\x2', 'j', 'k', '\x5', '\x18', '\r', '\x2', 
+		'k', '\x15', '\x3', '\x2', '\x2', '\x2', 'l', 'm', '\a', '\t', '\x2', 
+		'\x2', 'm', 'n', '\x5', '\x1A', '\xE', '\x2', 'n', '\x17', '\x3', '\x2', 
+		'\x2', '\x2', 'o', 'p', '\x5', '\x1A', '\xE', '\x2', 'p', 'q', '\x5', 
+		'\x1C', '\xF', '\x2', 'q', 'r', '\x5', '\x1E', '\x10', '\x2', 'r', '\x19', 
+		'\x3', '\x2', '\x2', '\x2', 's', 't', '\t', '\x2', '\x2', '\x2', 't', 
+		'u', '\a', '\x15', '\x2', '\x2', 'u', '\x1B', '\x3', '\x2', '\x2', '\x2', 
+		'v', 'w', '\a', '\f', '\x2', '\x2', 'w', 'x', '\a', '\x15', '\x2', '\x2', 
+		'x', '\x1D', '\x3', '\x2', '\x2', '\x2', 'y', 'z', '\a', '\r', '\x2', 
+		'\x2', 'z', '{', '\a', '\x15', '\x2', '\x2', '{', '\x1F', '\x3', '\x2', 
+		'\x2', '\x2', '|', '}', '\a', '\x14', '\x2', '\x2', '}', '~', '\a', '\x5', 
+		'\x2', '\x2', '~', '\x7F', '\x5', '\"', '\x12', '\x2', '\x7F', '!', '\x3', 
+		'\x2', '\x2', '\x2', '\x80', '\x81', '\a', '\x14', '\x2', '\x2', '\x81', 
+		'#', '\x3', '\x2', '\x2', '\x2', '\x82', '\x83', '\a', '\xE', '\x2', '\x2', 
+		'\x83', '\x88', '\x5', ' ', '\x11', '\x2', '\x84', '\x85', '\a', '\xF', 
+		'\x2', '\x2', '\x85', '\x87', '\x5', ' ', '\x11', '\x2', '\x86', '\x84', 
+		'\x3', '\x2', '\x2', '\x2', '\x87', '\x8A', '\x3', '\x2', '\x2', '\x2', 
+		'\x88', '\x86', '\x3', '\x2', '\x2', '\x2', '\x88', '\x89', '\x3', '\x2', 
+		'\x2', '\x2', '\x89', '%', '\x3', '\x2', '\x2', '\x2', '\x8A', '\x88', 
+		'\x3', '\x2', '\x2', '\x2', '\x8B', '\x8C', '\a', '\x10', '\x2', '\x2', 
+		'\x8C', '\x91', '\x5', ' ', '\x11', '\x2', '\x8D', '\x8E', '\a', '\xF', 
+		'\x2', '\x2', '\x8E', '\x90', '\x5', ' ', '\x11', '\x2', '\x8F', '\x8D', 
+		'\x3', '\x2', '\x2', '\x2', '\x90', '\x93', '\x3', '\x2', '\x2', '\x2', 
+		'\x91', '\x8F', '\x3', '\x2', '\x2', '\x2', '\x91', '\x92', '\x3', '\x2', 
+		'\x2', '\x2', '\x92', '\'', '\x3', '\x2', '\x2', '\x2', '\x93', '\x91', 
+		'\x3', '\x2', '\x2', '\x2', '\x94', '\x95', '\x5', '&', '\x14', '\x2', 
+		'\x95', '\x96', '\a', '\x5', '\x2', '\x2', '\x96', '\x9A', '\x3', '\x2', 
+		'\x2', '\x2', '\x97', '\x98', '\x5', '$', '\x13', '\x2', '\x98', '\x99', 
+		'\a', '\x5', '\x2', '\x2', '\x99', '\x9B', '\x3', '\x2', '\x2', '\x2', 
+		'\x9A', '\x97', '\x3', '\x2', '\x2', '\x2', '\x9A', '\x9B', '\x3', '\x2', 
+		'\x2', '\x2', '\x9B', '\xA5', '\x3', '\x2', '\x2', '\x2', '\x9C', '\x9D', 
+		'\x5', '$', '\x13', '\x2', '\x9D', '\x9E', '\a', '\x5', '\x2', '\x2', 
+		'\x9E', '\xA2', '\x3', '\x2', '\x2', '\x2', '\x9F', '\xA0', '\x5', '&', 
+		'\x14', '\x2', '\xA0', '\xA1', '\a', '\x5', '\x2', '\x2', '\xA1', '\xA3', 
+		'\x3', '\x2', '\x2', '\x2', '\xA2', '\x9F', '\x3', '\x2', '\x2', '\x2', 
+		'\xA2', '\xA3', '\x3', '\x2', '\x2', '\x2', '\xA3', '\xA5', '\x3', '\x2', 
+		'\x2', '\x2', '\xA4', '\x94', '\x3', '\x2', '\x2', '\x2', '\xA4', '\x9C', 
+		'\x3', '\x2', '\x2', '\x2', '\xA4', '\xA5', '\x3', '\x2', '\x2', '\x2', 
+		'\xA5', ')', '\x3', '\x2', '\x2', '\x2', '\xA6', '\xA7', '\x5', '(', '\x15', 
+		'\x2', '\xA7', '\xA8', '\x5', ',', '\x17', '\x2', '\xA8', '\xA9', '\a', 
+		'\x11', '\x2', '\x2', '\xA9', '\xAA', '\x5', ',', '\x17', '\x2', '\xAA', 
+		'+', '\x3', '\x2', '\x2', '\x2', '\xAB', '\xAE', '\x5', '.', '\x18', '\x2', 
+		'\xAC', '\xAE', '\x5', '\x30', '\x19', '\x2', '\xAD', '\xAB', '\x3', '\x2', 
+		'\x2', '\x2', '\xAD', '\xAC', '\x3', '\x2', '\x2', '\x2', '\xAE', '-', 
+		'\x3', '\x2', '\x2', '\x2', '\xAF', '\xB0', '\a', '\x14', '\x2', '\x2', 
+		'\xB0', '/', '\x3', '\x2', '\x2', '\x2', '\xB1', '\xB2', '\a', '\x14', 
+		'\x2', '\x2', '\xB2', '\xB3', '\a', '\x12', '\x2', '\x2', '\xB3', '\xB8', 
+		'\x5', ',', '\x17', '\x2', '\xB4', '\xB5', '\a', '\xF', '\x2', '\x2', 
+		'\xB5', '\xB7', '\x5', ',', '\x17', '\x2', '\xB6', '\xB4', '\x3', '\x2', 
+		'\x2', '\x2', '\xB7', '\xBA', '\x3', '\x2', '\x2', '\x2', '\xB8', '\xB6', 
+		'\x3', '\x2', '\x2', '\x2', '\xB8', '\xB9', '\x3', '\x2', '\x2', '\x2', 
+		'\xB9', '\xBB', '\x3', '\x2', '\x2', '\x2', '\xBA', '\xB8', '\x3', '\x2', 
+		'\x2', '\x2', '\xBB', '\xBC', '\a', '\x13', '\x2', '\x2', '\xBC', '\x31', 
+		'\x3', '\x2', '\x2', '\x2', '\x11', '\x34', '\x37', '>', '\x46', 'L', 
+		'T', '_', '\x64', '\x88', '\x91', '\x9A', '\xA2', '\xA4', '\xAD', '\xB8',
+	};
+
+	public static readonly ATN _ATN =
+		new ATNDeserializer().Deserialize(_serializedATN);
+
+
+}
+} // namespace Eingabeverwaltung.Parser.Task_Parser
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/Parser/TransformationStep_Listener.cs b/BaumtransformationBewerter/Eingabeverwaltung/Parser/TransformationStep_Listener.cs
new file mode 100644
index 0000000000000000000000000000000000000000..125ec04e3d613f541832f77798e6e581b2f3c8dd
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/Parser/TransformationStep_Listener.cs
@@ -0,0 +1,322 @@
+using Eingabeverwaltung.Parser.Proof_Parser;
+using Eingabeverwaltung.Metamodell;
+using Antlr4.Runtime.Tree;
+using Antlr4.Runtime;
+using Antlr4.Runtime.Misc;
+using System.Collections.Generic;
+using System;
+using System.Linq;
+
+namespace Eingabeverwaltung.Parser
+{
+    /// <summary>
+    /// TransformationStep_Listener creates all TransformationSteps for the Transforamtions created by Proof_Listener.
+    /// Requires all lemmata and transformations to exist in container.
+    /// between Lemmata.
+    /// </summary>
+	public class TransformationStep_Listener : IProofListener
+    {
+        private Container container;
+        private Induction currentInd;
+        private InductionCase currentIndCase;
+        private int currentIndCaseIndex;
+        private Transformation currentTR;
+        Lemma currentLemma;
+
+        private Listener_Helper LH;
+
+        private class Transformation_Step
+        {
+            public Rule rule;
+            public char direction;
+            public Tree termpart;
+            public List<Substitution> subs;
+            public Tree resultTree;
+        }
+
+        private Transformation_Step TS;
+        private List<Transformation_Step> TSs;
+
+        public TransformationStep_Listener(Container container)
+        {
+            this.container = container;
+            currentTR = null;
+            currentInd = null;
+            currentIndCase = null;
+            currentIndCaseIndex = -1;
+            currentLemma = null;
+            LH = new Listener_Helper(container.ADT.sorts, container.ADT.operations, null, container.ADT.axioms, null, null);
+
+            TS = null;
+            TSs = null;
+        }
+
+        public void EnterProof([NotNull] ProofParser.ProofContext context) { }
+        public void ExitProof([NotNull] ProofParser.ProofContext context) { }
+        public void EnterMainProof([NotNull] ProofParser.MainProofContext context)
+        {
+            if (container.Proof.proof is Transformation tr) currentTR = tr;
+            else if (container.Proof.proof is Induction ind) currentInd = ind; // will find tr by ind rules
+            else throw new Exception("Error: The proof of MainProof is wether Transformation nor Induction!");
+            // Variablen der Aufgabenstellung gelten im Hauptbeweis als erstes
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { container.Task.task.eq.variables };
+            // Variablen des ADT gelten im Hauptbeweis als zweites, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+            LH.fixedVars = container.Task.task.fixedVars;
+        }
+        public void ExitMainProof([NotNull] ProofParser.MainProofContext context) { }
+
+        public void EnterLemma([NotNull] ProofParser.LemmaContext context)
+        {
+            string lemmaName = ((ProofParser.LemmaDefContext)context.GetChild(0)).BEZ().GetText();
+            currentLemma = null;
+            foreach(Lemma lemma in container.Proof.lemmata)
+                if (lemma.name == lemmaName) currentLemma = lemma;
+            if (currentLemma == null) throw new Exception("Cannot find current Lemma: "+lemmaName+" in Container!");
+            if (currentLemma.proof is Transformation tr) currentTR = tr;
+            else if (currentLemma.proof is Induction ind) currentInd = ind; // will find tr by ind rules
+            else throw new Exception("Error: The proof of Lemma "+lemmaName+" is wether Transformation nor Induction!");
+        }
+        public void ExitLemma([NotNull] ProofParser.LemmaContext context) => currentLemma = null;
+
+        public void EnterLemmaDef([NotNull] ProofParser.LemmaDefContext context) { }
+        public void ExitLemmaDef([NotNull] ProofParser.LemmaDefContext context)
+        {
+            // Im Beweis des Lemmas gelten zuerst die Variablen des Lemmas (gilt bereits durch das Bauen der Gleichung)
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { currentLemma.eq.variables }; // hier bereits vorhandene Variablen verwenden
+            // Im Beweis des Lemmas gelten als zweites die Variablen des ADTs, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+            LH.fixedVars = currentLemma.fixedVars;
+        }
+        public void EnterSingleProof([NotNull] ProofParser.SingleProofContext context) { }
+        public void ExitSingleProof([NotNull] ProofParser.SingleProofContext context) { }
+        public void EnterProof_end([NotNull] ProofParser.Proof_endContext context) { }
+        public void ExitProof_end([NotNull] ProofParser.Proof_endContext context) { }
+
+        // Transformation
+        public void EnterTransformation([NotNull] ProofParser.TransformationContext context) => TSs = new List<Transformation_Step>();
+        public void ExitTransformation([NotNull] ProofParser.TransformationContext context) 
+        {
+            if (TSs.Count < 1) throw new Exception("No TransformationSteps found in Transformation at ExitTransformation!");
+            Tree startT = currentTR.startTree;
+            for (int i = 0; i < TSs.Count; i++)
+            {
+                currentTR.transformationSteps.Add(new TransformationStep(startT, TSs[i].rule, TSs[i].direction, TSs[i].termpart, TSs[i].resultTree, TSs[i].subs));
+                startT = TSs[i].resultTree;
+            }
+        }
+
+        public void EnterStart_tree([NotNull] ProofParser.Start_treeContext context) => LH.trees = new List<Tree>();
+        public void ExitStart_tree([NotNull] ProofParser.Start_treeContext context) => LH.trees = null;
+
+        public void EnterTransformation_step([NotNull] ProofParser.Transformation_stepContext context) => TS = new Transformation_Step();
+        public void ExitTransformation_step([NotNull] ProofParser.Transformation_stepContext context)
+        {
+            TSs.Add(TS);
+            TS = null;
+        }
+
+        public void EnterAxiom([NotNull] ProofParser.AxiomContext context) { }
+        public void ExitAxiom([NotNull] ProofParser.AxiomContext context)
+        {
+            Rule rule = null;
+            if (context.BEZ() != null) 
+            {
+                string ruleName = context.BEZ().GetText();
+                rule = LH.findAxiomInADT_Axioms(ruleName);
+                if (rule != null) TS.rule = rule;
+                else
+                {
+                    rule = findRuleIn(ruleName, container.Task.lemmata.Cast<Rule>().ToList());
+                    if (rule != null) TS.rule = rule;
+                    else
+                    {
+                        rule = findRuleIn(ruleName, container.Proof.lemmata.Cast<Rule>().ToList());
+                        if (rule != null) TS.rule = rule;
+                        else
+                        {
+                            rule = findRuleIn(ruleName, container.Task.lemmaTasks.Cast<Rule>().ToList());
+                            if (rule != null) TS.rule = rule;
+                            else 
+                            {
+                                if (currentInd != null)
+                                {
+                                    rule = findRuleIn(ruleName, currentInd.indHyps.Cast<Rule>().ToList());
+                                    if (rule != null) TS.rule = rule;
+                                    else throw new Exception("The rule " + ruleName + " is not defined!");
+                                }
+                                else throw new Exception("The rule " + ruleName + " is not defined!");
+                            }
+                        }
+                    }
+                }
+            }
+            else if (context.GetChild(0).GetText() == "IH")
+            {
+                if (currentInd != null) rule = findRuleIn("IH", currentInd.indHyps.Cast<Rule>().ToList()); ;
+                if (rule != null) TS.rule = rule;
+                else
+                {
+                    string position = "";
+                    if (currentLemma == null) position += "main proof > ";
+                    else position += "lemma: " + currentLemma.name + " > ";
+                    if (currentInd != null) position += "induction ";
+                    if (currentIndCase != null) position += " of case " + currentIndCase.type + " > ";
+                    position += " TransformationStep No " + (TSs.Count+1);
+                    throw new Exception("The Inductionhypothesis is not defined for the current TransformationStep (" + position + ")!");
+                }
+            }            
+        }
+
+        public void EnterDirection([NotNull] ProofParser.DirectionContext context) { }
+        public void ExitDirection([NotNull] ProofParser.DirectionContext context)
+        {
+            string direction = context.GetText();
+            switch (direction)
+            {
+                case "rl": TS.direction = '<'; break;
+                case "lr": TS.direction = '>'; break;
+                default: throw new Exception("The Direction of the TransformationStep is undefined! Expected \'rl\' or \'lr' but found \"" + direction + "\".");
+            }
+        }
+
+        public void EnterTermpart([NotNull] ProofParser.TermpartContext context) => LH.trees = new List<Tree>();
+        public void ExitTermpart([NotNull] ProofParser.TermpartContext context)
+        {
+            if (LH.trees.Count != 1) throw new Exception("Trees was Expected to have 1 Tree for Termpart, but found " + LH.trees.Count + " trees! They are: " + LH.TreeListToString(LH.trees));
+            TS.termpart = LH.trees[0];
+            LH.trees = null;
+        }
+
+        public void EnterSubst([NotNull] ProofParser.SubstContext context) => TS.subs = new List<Substitution>();
+        public void ExitSubst([NotNull] ProofParser.SubstContext context)
+        {   // Add all required trivial substitutions like n/n
+            List<Variable> ruleVars = LH.getVariableContext( // using this method to easily get rid of duplicates
+                new List<List<Variable>>() { TS.rule.eq.leftTree.findUsedVars(), TS.rule.eq.rightTree.findUsedVars() }); 
+            foreach (Substitution sub in TS.subs)
+                ruleVars.Remove(sub.variable);
+            List<Variable> allContextVars = LH.adt_vars;
+            foreach (Variable RV in ruleVars)
+                foreach (Variable CV in allContextVars)
+                    if (CV.name == RV.name && CV != RV) // do trivial subs even if it means sub of fixed var
+                        TS.subs.Add(new Substitution(RV, new TreeVariable(CV)));
+        }
+
+        public void EnterSub([NotNull] ProofParser.SubContext context) => LH.trees = new List<Tree>();
+        public void ExitSub([NotNull] ProofParser.SubContext context)
+        {
+            if (LH.trees.Count != 1) throw new Exception("Trees was Expected to have 1 Tree for Termpart, but found " + LH.trees.Count + " trees! They are: " + LH.TreeListToString(LH.trees));
+            string variableName = context.BEZ().GetText();
+            Variable variable = LH.findVariable(variableName, TS.rule.eq.variables);
+            Test_Substitution_Variable_isCorrect(variableName, variable);
+            TS.subs.Add(new Substitution(variableName, variable, LH.trees[0]));
+        }
+
+        public void EnterResult_tree([NotNull] ProofParser.Result_treeContext context) => LH.trees = new List<Tree>();
+        public void ExitResult_tree([NotNull] ProofParser.Result_treeContext context)
+        {
+            if (LH.trees.Count != 1) throw new Exception("Trees was Expected to have 1 Tree for ResultTree, but found " + LH.trees.Count + " trees! They are: " + LH.TreeListToString(LH.trees));
+            TS.resultTree = LH.trees[0];
+        }
+
+        // Induction
+        public void EnterInduction([NotNull] ProofParser.InductionContext context) => currentIndCaseIndex = -1;
+        public void ExitInduction([NotNull] ProofParser.InductionContext context) => currentInd = null;
+        public void EnterInd_var([NotNull] ProofParser.Ind_varContext context) { }
+        public void ExitInd_var([NotNull] ProofParser.Ind_varContext context) { }
+        public void EnterInd_basis([NotNull] ProofParser.Ind_basisContext context) 
+        {
+            if (currentInd.GetIndBasises().Count < 1) throw new Exception("Error: Found no Inductionbasis in the current Induction!");
+            else try { currentIndCase = currentInd.indCases[++currentIndCaseIndex]; }
+                 catch(ArgumentOutOfRangeException) 
+                { throw new ArgumentOutOfRangeException("Error: Found more Inductionbasises: "
+                    +currentIndCaseIndex+" than Inductioncases in the current Induction!"); 
+                }
+        }
+        public void ExitInd_basis([NotNull] ProofParser.Ind_basisContext context) => currentIndCase = null;
+        public void EnterInd_step([NotNull] ProofParser.Ind_stepContext context)
+        {
+            if (currentInd.GetIndSteps().Count < 1) throw new Exception("Error: Found no Inductionstep in the current Induction while entering Inductionstep!");
+            else try { currentIndCase = currentInd.indCases[++currentIndCaseIndex]; }
+                catch (ArgumentOutOfRangeException)
+                {
+                    throw new ArgumentOutOfRangeException("Error: Found more Inductionbasises and Inductionsteps: "
+                      + currentIndCaseIndex + " than Inductioncases in the current Induction!");
+                }
+        }
+        public void ExitInd_step([NotNull] ProofParser.Ind_stepContext context) => currentIndCase = null;
+        public void EnterInd_hyp([NotNull] ProofParser.Ind_hypContext context) { }
+        public void ExitInd_hyp([NotNull] ProofParser.Ind_hypContext context) { }
+        public void EnterInd_case([NotNull] ProofParser.Ind_caseContext context) { }
+        public void ExitInd_case([NotNull] ProofParser.Ind_caseContext context)
+        {
+            // Im Beweis gelten zuerst die Variablen der Gleichung (gilt bereits durch das Bauen der Gleichung)
+            List<List<Variable>> variableDefinitionContext;
+            variableDefinitionContext = new List<List<Variable>>() { currentIndCase.eq.variables };
+            // Im Beweis gelten als zweites die Variablen des ADTs, falls vorhanden
+            if (container.ADT.axioms.Count != 0) variableDefinitionContext.Add(container.ADT.axioms[0].eq.variables);
+            LH.setVariableContext(variableDefinitionContext);
+            LH.fixedVars = currentIndCase.fixedVars;
+            currentTR = currentIndCase.proof;
+        }
+        // Equation Rules - Does same as in Proof_Listener, in order to not stuck at parsing trees of equations
+        public void EnterEq([NotNull] ProofParser.EqContext context) => LH.EnterEq();
+        public void ExitEq([NotNull] ProofParser.EqContext context) => LH.ExitEq();
+        public void EnterEq_var_def([NotNull] ProofParser.Eq_var_defContext context) => LH.EnterVars();
+        public void ExitEq_var_def([NotNull] ProofParser.Eq_var_defContext context) => LH.ExitEqVarDef();
+        public void EnterFixed([NotNull] ProofParser.FixedContext context) => LH.EnterVars();
+        public void ExitFixed([NotNull] ProofParser.FixedContext context) => LH.fixedVars = LH.adt_vars;
+        public void EnterForall([NotNull] ProofParser.ForallContext context) => LH.EnterVars();
+        public void ExitForall([NotNull] ProofParser.ForallContext context) => LH.allQVars = LH.adt_vars;
+        public void EnterVar([NotNull] ProofParser.VarContext context) { }
+        public void ExitVar([NotNull] ProofParser.VarContext context)
+            => LH.ExitVar(context.BEZ().GetText(), context.sort().BEZ().GetText());
+        public void EnterSort([NotNull] ProofParser.SortContext context) { }
+        public void ExitSort([NotNull] ProofParser.SortContext context) { }
+
+        // Trees
+        public void EnterMytree([NotNull] ProofParser.MytreeContext context) { }
+        public void ExitMytree([NotNull] ProofParser.MytreeContext context) { }
+
+        public void EnterTreeLeaf([NotNull] ProofParser.TreeLeafContext context) { }
+        public void ExitTreeLeaf([NotNull] ProofParser.TreeLeafContext context)
+            => LH.ExitTreeLeaf(context.BEZ().GetText());
+
+        public void EnterTreeNode([NotNull] ProofParser.TreeNodeContext context) { }
+        public void ExitTreeNode([NotNull] ProofParser.TreeNodeContext context)
+            => LH.ExitTreeNode(context.BEZ().GetText(), context.ChildCount, context.GetText());
+
+        // useless Interface requirements
+        public void EnterEveryRule(ParserRuleContext ctx) { }
+        public void ExitEveryRule(ParserRuleContext ctx) { }
+        public void VisitErrorNode(IErrorNode node) { }
+        public void VisitTerminal(ITerminalNode node) { }
+
+        // Helping Methods
+
+        /// <summary>
+        /// Returns null if not able to find
+        /// </summary>
+        /// <param name="ruleName"></param>
+        /// <param name="rules"></param>
+        /// <returns></returns>
+        private Rule findRuleIn(string ruleName, List<Rule> rules)
+        {
+            foreach (Rule rule in rules)
+                if (rule.name == ruleName) return rule;
+            return null;
+        }
+
+        // Alle Offiziell notwendige Typtests
+        private void Test_Substitution_Variable_isCorrect(string variableName, Variable variable)
+        {
+            if (variable != null && variableName != variable.name)
+                throw new Exception("The found Variable " + variable.ToString() + " has a different name than the inputed variableName " + variableName);
+        }
+    }
+}
+
diff --git a/BaumtransformationBewerter/Eingabeverwaltung/SimpleEingabeverwalter.cs b/BaumtransformationBewerter/Eingabeverwaltung/SimpleEingabeverwalter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..2f9f0a938dde22c8db648420a0c224437bfaccdb
--- /dev/null
+++ b/BaumtransformationBewerter/Eingabeverwaltung/SimpleEingabeverwalter.cs
@@ -0,0 +1,82 @@
+using Eingabeverwaltung.Metamodell;
+using Eingabeverwaltung.Parser;
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Text;
+
+namespace Eingabeverwaltung
+{
+    public class SimpleEingabeverwalter : AbstactEingabeverwalter
+    {
+        private string adtPath;
+        private string taskPath;
+        private string proofPath;
+        private Nullable<bool> isParsed;
+        private Nullable<bool> isProofParsed;
+
+        public SimpleEingabeverwalter(string adtPath, string taskPath, string proofPath) : base() 
+        {
+            this.adtPath = adtPath;
+            this.taskPath = taskPath;
+            this.proofPath = proofPath;
+            isParsed = null;
+            isProofParsed = null;
+        }
+
+        public override void verwalteEingabe()
+        {
+            inputContainer = new Container();
+            string adtInput = File.ReadAllText(adtPath);
+            string taskInput = File.ReadAllText(taskPath);
+            string proofInput = File.ReadAllText(proofPath);
+            try
+            {
+                inputContainer.ADT = ADT_Antlr.parse(adtInput);
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the ADT!");
+                Console.WriteLine(e.Message);
+                isParsed = false;
+                return;
+            }
+            try
+            {
+                Task_Antlr.parse(taskInput,inputContainer);
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the Task!");
+                Console.WriteLine(e.Message);
+                isParsed = false;
+                return;
+            }
+            try
+            {
+                Proof_Antlr.parse(proofInput,inputContainer);                
+            }
+            catch (Exception e)
+            {
+                Console.WriteLine("Failed to parse the Proof!");
+                Console.WriteLine(e.Message);
+                isParsed = false;
+                isProofParsed = false;
+                return;
+            }
+            isParsed = true;
+            isProofParsed = true;
+        }
+
+        /// <summary>
+        /// Returns null if Parsing didn't started yet. Returns false if Parsing failed. Returns true if Parsing was successful.
+        /// </summary>
+        /// <returns></returns>
+        public Nullable<bool> IsParsed() => isParsed;
+        /// <summary>
+        /// Like IsParsed(), but only for Proof.
+        /// </summary>
+        /// <returns></returns>
+        public Nullable<bool> IsProofParsed() => isProofParsed;
+    }
+}
diff --git a/BaumtransformationBewerter/ProgramForHuman.cs b/BaumtransformationBewerter/ProgramForHuman.cs
new file mode 100644
index 0000000000000000000000000000000000000000..02085a071745935ae99cd3b8f4cc6b51b0d0198e
--- /dev/null
+++ b/BaumtransformationBewerter/ProgramForHuman.cs
@@ -0,0 +1,74 @@
+using Eingabeverwaltung;
+using Bewertung;
+using Ausgabeverwaltung;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using System.IO;
+
+class ProgramForHuman
+{
+    private static Eingabeverwalter eingabeverwalter = new Eingabeverwalter();
+    private static ImmutableDictionary<string, Action> ProgrammManager;
+    private static IBewerter Bewerter;
+
+    static void Main(string[] args)
+    {
+        if (args.Length == 0) eingabeverwalter.verwalteEingabe();
+        else if (args.Length == 1 && args[0] == "debug") while (true) manageProgramm();
+        else if (args.Length == 3) eingabeverwalter.verwalteEingabe(args[0], args[1], args[2]);
+        else
+        {
+            Console.WriteLine("Unknown Number of Arguments " + args.Length + ". Please write 3 or no Arguments!");
+            exit();
+        }
+        ueberpruefe();
+        bewerte();
+        ausgabe();
+    }
+
+    /// <summary>
+    /// Can be used for Debuging.
+    /// </summary>
+    private static void manageProgramm()
+    {
+        Console.WriteLine("Was nun? ");
+        string input = Console.ReadLine();
+        ProgrammManager = new Dictionary<string, Action>
+        {
+            ["eingabe"] = eingabeverwalter.verwalteEingabe,
+            ["ueberpruefe"] = ueberpruefe,
+            ["bewerte"] = bewerte,
+            ["ausgabe"] = ausgabe,
+            ["printErrors"] = printErrors,
+            ["test"] = test,
+            ["exit"] = exit,
+            ["?"]    = giveHelp,
+        }.ToImmutableDictionary();
+        try
+        {
+            ProgrammManager[input]();
+        }
+        catch (KeyNotFoundException) { Console.WriteLine("Command not found. Type ? for help."); manageProgramm(); }
+    }
+    private static void ueberpruefe() => Ueberpruefung.Ueberpruefer.ueberpruefe(eingabeverwalter.GetContainer());
+    private static void bewerte()
+    {
+        try { Bewerter = new Bewerter(eingabeverwalter.GetContainer(), File.ReadAllText(".config")); }
+        catch (FileNotFoundException) 
+        { 
+            Console.WriteLine("Info: It was no config loaded for Bewertung."); 
+            Bewerter = new Bewerter(eingabeverwalter.GetContainer()); 
+        }
+        Bewerter.Bewerte();
+    }
+    private static void ausgabe() => new Ausgabeverwalter().Ausgabe(eingabeverwalter.GetContainer(), Bewerter.GetBewertung(),Bewerter.GetRound());
+    private static void printErrors() => Console.WriteLine(new Ausgabeverwalter().printAllErrors(eingabeverwalter.GetContainer()));
+    private static void test() => new Testverwaltung.Testverwalter(eingabeverwalter.GetContainer()).verwalteTests();
+    private static void exit() => Environment.Exit(0);
+    private static void giveHelp() 
+    {
+        foreach(string key in ProgrammManager.Keys)
+            Console.WriteLine(key);
+    }
+}
diff --git a/BaumtransformationBewerter/ProgramForYapex.cs b/BaumtransformationBewerter/ProgramForYapex.cs
new file mode 100644
index 0000000000000000000000000000000000000000..285aad73313997c58cab85f2b0ab96470d2c9c34
--- /dev/null
+++ b/BaumtransformationBewerter/ProgramForYapex.cs
@@ -0,0 +1,91 @@
+using Eingabeverwaltung;
+using Bewertung;
+using Ausgabeverwaltung;
+using System;
+using System.IO;
+using System.Linq;
+
+class ProgramForYapex
+{
+    private static SimpleEingabeverwalter eingabeverwalter;
+    private static Ausgabeverwalter ausgabeverwalter;
+    private static IBewerter Bewerter;
+    private static bool SyntaxCheckOnly;
+    private static string ConfigPath;
+
+    static void Main(string[] args)
+    {
+        InitProgram(args);
+        eingabeverwalter.verwalteEingabe();
+        if (eingabeverwalter.IsProofParsed().HasValue && !eingabeverwalter.IsProofParsed().Value)
+            Environment.Exit(1); // Bei Syntaxfehler im Beweis
+        if (!eingabeverwalter.IsParsed().HasValue) throw new Exception("It was not tried parse the input by some unknown reason."); // this should not happen
+        if (!eingabeverwalter.IsParsed().Value || SyntaxCheckOnly)
+            Environment.Exit(0); // Bei Syntaxfehler in ADT / Task oder bei SyntaxCheckOnly
+        else
+        {
+            ueberpruefe();
+            bewerte();            
+            ausgabe();
+            bool isZeroPoints = true;
+            foreach(IAssessmentResult ar in Bewerter.GetBewertung())
+                isZeroPoints &= ar.Assessment() == 0.0;
+            if (isZeroPoints) Environment.Exit(1);
+            else Environment.Exit(0);
+        }
+    }
+
+    private static void InitProgram(string[] args)
+    {
+        SyntaxCheckOnly = false;
+        ConfigPath = "";
+        string adtPath = "";
+        string taskPath = "";
+        string proofPath = "";
+        foreach (string arg in args)
+        {
+            string fileEnding = arg.Split('.').Last();
+            switch (fileEnding)
+            {
+                case "adt":
+                    if (adtPath == "") adtPath = arg;
+                    else throw new Exception("Found more than one adt in args!");
+                    break;
+                case "task":
+                    if (taskPath == "") taskPath = arg;
+                    else throw new Exception("Found more than one task in args!");
+                    break;
+                case "proof":
+                    if (proofPath == "") proofPath = arg;
+                    else throw new Exception("Found more than one proof in args!");
+                    break;
+                case "config":
+                    if (ConfigPath == "") ConfigPath = arg;
+                    else throw new Exception("Found more than one config in args!");
+                    break;
+                default:
+                    if (arg == "-checkSyntaxOnly") SyntaxCheckOnly = true;
+                    else throw new Exception("Found unexpected argument: " + arg + " !");
+                    break;
+            }
+        }
+        if (adtPath == "") throw new Exception("Missing path to ADT in the arguments! ADT must have fileending \".adt\".");
+        if (taskPath == "") throw new Exception("Missing path to Task in the arguments! Task must have fileending \".task\".");
+        if (proofPath == "") throw new Exception("Missing path to Proof in the arguments! Proof must have fileending \".proof\".");
+        eingabeverwalter = new SimpleEingabeverwalter(adtPath,taskPath,proofPath);
+    }
+
+    private static void ueberpruefe() => Ueberpruefung.Ueberpruefer.ueberpruefe(eingabeverwalter.GetContainer());
+    private static void bewerte()
+    {
+        if (ConfigPath == "") Bewerter = new Bewerter(eingabeverwalter.GetContainer());
+        else Bewerter = new Bewerter(eingabeverwalter.GetContainer(), File.ReadAllText(ConfigPath));
+        Bewerter.Bewerte();
+    }
+    private static void ausgabe()
+    {
+        ausgabeverwalter = new Ausgabeverwalter("string");
+        ausgabeverwalter.Ausgabe(eingabeverwalter.GetContainer(), Bewerter.GetBewertung(), Bewerter.GetRound());
+        Console.WriteLine(ausgabeverwalter.GetOutPut());
+    }
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/InductionTest.cs b/BaumtransformationBewerter/Testverwaltung/InductionTest.cs
new file mode 100644
index 0000000000000000000000000000000000000000..b7684bd788a901eb73c52e9ba2f54696ce7c44cc
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/InductionTest.cs
@@ -0,0 +1,135 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using Ueberpruefung;
+
+namespace Testverwaltung
+{
+    public class InductionTest : Test
+    {
+        private readonly ImmutableList<string> testIDs;
+        private readonly ImmutableList<string> shouldValues;
+        private readonly ImmutableList<string> testIDsStruk;
+        private readonly ImmutableList<string> shouldValuesStruk;
+
+        public InductionTest() : base() 
+        {
+            testIDs = new List<string>()
+            {
+                "1,2",
+                "30,37",
+                "31,38",
+                "32,40,43",
+                "33d,41,43",
+                "33u",
+                "34c",
+                "34cIS,43",
+                "34h",
+                "35",
+                "36",
+                "39"
+            }.ToImmutableList();
+            List<string> shouldValues = new List<string>();
+            string L1 = "Lemma L1 geht ein in Teilaufgaben: L1 \r\n";
+            string Lo = "Lemma L1 ohne Bewertung \r\n";
+            string hb = "Hauptbeweis\r\n";
+            string m32(string c) => aus.ErrorMessage(new List<Error>() { new Error(32, c+" ") }, true, "", false, -1, -1);
+            foreach (string testID in testIDs)
+            {
+                string str;
+                switch (testID)
+                {
+                    case "1,2"   : str = L1 + aus.ErrorMessage(new List<Error>() { new Error(1), new Error(2) }, true, "Fall null", true, -1, -1);  break;                        
+                    case "30,37" : str = hb + aus.ErrorMessage(new List<Error>() { new Error(21), new Error(37,"y ") }, true, "Fall null", true, 1, -1)
+                                       + Lo + aus.ErrorMessage(new List<Error>() { new Error(22) }, false, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(30) },true,"", false, -1, -1); ; break;
+                    case "31,38" : str = L1 + aus.ErrorMessage(new List<Error>() { new Error(38), new Error(31) }, true, "", false, -1, -1); break;
+                    case "32,40,43" 
+                                 : str = hb + m32("inc")
+                                            + aus.ErrorMessage(new List<Error>() { new Error(40, "m "), new Error(43) }, true, "IH", false, -1, -1)
+                                       + L1 + aus.ErrorMessage(new List<Error>() { new Error(8) },true,"Fall null", true, 1, -1); break;
+                    case "33d,41,43"
+                                 : str = hb + m32("inc")
+                                            + aus.ErrorMessage(new List<Error>() { new Error(43) }, true, "IH", false, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(41), new Error(33) }, true, "Fall null", false, -1, -1); break;
+                    case "33u"   : str = L1 + m32("null")
+                                            + aus.ErrorMessage(new List<Error>() { new Error(33) }, true, "Fall plus( null,plus( null,null ) ) = plus( null,null )", false, -1, -1); break;
+                    case "34c"   : str = hb + m32("null")
+                                            + aus.ErrorMessage(new List<Error>() { new Error(34), new Error(33) }, true, "Fall plus( null,null ) = null", false, -1, -1); break;
+                    case "34cIS,43" 
+                                 : str = hb + aus.ErrorMessage(new List<Error>() { new Error(43)}, true, "IH", false, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(34, ": fixed Y-0 : Nat : forall m : Nat : plus( inc( Y-0 ),m ) = plus( m,inc( Y-0 ) )") }, true, "Fall inc", false, -1, -1); break;
+                    case "34h"   : str = hb + aus.ErrorMessage(new List<Error>() { new Error(34, ": fixed k : Nat : forall m : Nat : plus( k,m ) = plus( m,k )") }, true, "IH", false, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(9, "[ plus( m,k ) / y ]") }, true, "Fall inc", true, 2, -1); break;
+                    case "35"    : str = hb + aus.ErrorMessage(new List<Error>() { new Error(35, "k ") }, true, "IH", false, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(35, "k ") }, true, "Fall inc", false, -1, -1); break;
+                    case "36"    : str = hb + aus.ErrorMessage(new List<Error>() { new Error(36), new Error(37,"k ") }, true, "Fall null", true, 1, -1); break;
+                    case "39"    : str = L1 + aus.ErrorMessage(new List<Error>() { new Error(39) }, true, -1, -1)
+                                            + aus.ErrorMessage(new List<Error>() { new Error(21, "{ L1 }") }, true, 1, -1); break;
+                    default: 
+                        Console.WriteLine("Found an unexpected testID " + testID+". This test may not be tested correctly.");
+                        str = aus.NoErrors(); ; break;
+                }
+                shouldValues.Add(str);
+            }
+            this.shouldValues = shouldValues.ToImmutableList();
+            testIDsStruk = new List<string>() 
+            { 
+                "22",
+                "42",
+                "43"
+            }.ToImmutableList();
+            List<string> shouldValuesStruk = new List<string>();
+            foreach (string testID in testIDsStruk)
+            {
+                string str;
+                switch (testID)
+                {
+                    case "22": str = "Lemma Komm ohne Bewertung \r\n" 
+                                   + aus.ErrorMessage(new List<Error>() { new Error(22) }, false, "", false, -1, -1); break;
+                    case "42": str = hb + aus.ErrorMessage(new List<Error>() { new Error(42) }, true, "IH", false, -1, -1); break;
+                    case "43": str = hb + aus.ErrorMessage(new List<Error>() { new Error(43) }, true, "IH3", false, -1, -1); break;
+                    default:
+                        Console.WriteLine("Found an unexpected testID " + testID + ". This test may not be tested correctly.");
+                        str = aus.NoErrors(); ; break;
+                }
+                shouldValuesStruk.Add(str);
+            }
+            this.shouldValuesStruk = shouldValuesStruk.ToImmutableList();
+            numTests = testIDs.Count + testIDsStruk.Count; 
+        }
+        public override bool run()
+        {
+            string path = "Tests\\ind-simpl\\";
+            resultString = "Testing Induction\r\n\r\n";
+            ein.Eingabe_Interface("ADT", path + "ADT_Bsp2.adt");
+            ein.Eingabe_Interface("Task", path + "Task_Bsp2.task");
+            ein.Eingabe_Interface("Proof", path + "Proof_correct.proof");
+            Ueberpruefer.ueberpruefe(ein.GetContainer());
+            resultString += assert(0, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+            for(int i=0; i< testIDs.Count; i++)
+            {
+                ein.Eingabe_Interface("Proof", path + "Proof_error_"+testIDs[i]+".proof");
+                Ueberpruefer.ueberpruefe(ein.GetContainer());
+                resultString += assert(testIDs[i], shouldValues[i], aus.printAllErrors(ein.GetContainer()));
+            }
+            path = "Tests\\ind-struk\\";
+            resultString += "\r\nTesting Induction - struktural extension\r\n\r\n";
+            ein.Eingabe_Interface("ADT", path + "ADT_Bsp.adt");
+            ein.Eingabe_Interface("Task", path + "Task_Bsp.task");
+            ein.Eingabe_Interface("Proof", path + "Proof_correct.proof");
+            Ueberpruefer.ueberpruefe(ein.GetContainer());
+            resultString += assert(0, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+            for (int i = 0; i < testIDsStruk.Count; i++)
+            {
+                ein.Eingabe_Interface("Proof", path + "Proof_error_" + testIDsStruk[i] + ".proof");
+                Ueberpruefer.ueberpruefe(ein.GetContainer());
+                resultString += assert(testIDsStruk[i], shouldValuesStruk[i], aus.printAllErrors(ein.GetContainer()));
+            }
+            return passed;
+        }
+
+
+    }
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/LemmaTest.cs b/BaumtransformationBewerter/Testverwaltung/LemmaTest.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7c9ae3fbe6bf31fd9a35bdd456c75341685d4ae8
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/LemmaTest.cs
@@ -0,0 +1,30 @@
+using Ueberpruefung;
+
+namespace Testverwaltung
+{
+    public class LemmaTest : Test
+    {
+        public LemmaTest() : base()
+        {
+            numTests = 4;
+        }
+        public override bool run() 
+        {
+			string path = "Tests\\lemma\\";
+			resultString = "Testing Lemmata\r\n\r\n";
+			ein.Eingabe_Interface("ADT", path + "ADT_Bsp.adt");
+			ein.Eingabe_Interface("Task", path + "Task_Bsp.task");
+			for (int testNum = 0; testNum < numTests-1; testNum++)
+			{
+				ein.Eingabe_Interface("Proof", path + "Proof_correct_" + testNum + ".proof");
+				Ueberpruefer.ueberpruefe(ein.GetContainer());
+				resultString += assert(testNum, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+			}
+			ein.Eingabe_Interface("Task", path + "Task_Bsp2.task");
+			ein.Eingabe_Interface("Proof", path + "Proof_T2_correct_0.proof");
+			Ueberpruefer.ueberpruefe(ein.GetContainer());
+			resultString += assert(3, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+			return passed;
+		}
+    }
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/ManualTests.cs b/BaumtransformationBewerter/Testverwaltung/ManualTests.cs
new file mode 100644
index 0000000000000000000000000000000000000000..384fc74046c563220aa651426bc4cfb50b439411
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/ManualTests.cs
@@ -0,0 +1,84 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Generic;
+using System;
+using Ueberpruefung;
+
+namespace Testverwaltung
+{
+	/// <summary>
+	/// This class includes a few manual tests.
+	/// </summary>
+	public class ManualTests
+	{
+		private readonly Transformation tr;
+		public ManualTests(Container container)
+		{
+			tr = container.Proof.proof as Transformation;
+			doAllTests();
+		}
+
+		public void doAllTests()
+		{
+			testCheckHelper_Substitute();
+			testChechHelper_FindSubstitution();
+			testCheckHelper_transform();
+			testTree_equals();
+		}
+
+		public void testCheckHelper_Substitute()
+		{
+			Tree substTree = CheckHelper.substitute(tr.transformationSteps[0].ruleStartTree(), tr.transformationSteps[0].substitutions);
+			Console.WriteLine("Test CheckHelper.substitute\n" +
+							  "Input: Tree " + tr.transformationSteps[0].ruleStartTree().ToString() + "\n" +
+							  "       Substitution " + List_Substitution_ToString(tr.transformationSteps[0].substitutions) + "\n" +
+							  "Result: " + substTree.ToString() + "\n");
+		}
+
+		public void testChechHelper_FindSubstitution()
+		{
+			Tree forTree = tr.transformationSteps[0].ruleStartTree();
+			Tree toTree = tr.transformationSteps[0].termPart;
+			List<Substitution> subs = CheckHelper.findSubstitution(forTree, toTree);
+			Console.WriteLine("Test CheckHelper.findSubstitution\n" +
+							  "Input: forTree " + forTree + "\n" +
+							  "       toTree  " + toTree + "\n" +
+							  "Result: " + List_Substitution_ToString(subs) + "\n");
+		}
+
+		public void testCheckHelper_transform()
+		{
+			Tree newSubtree = CheckHelper.substitute(tr.transformationSteps[0].ruleEndTree()
+													, tr.transformationSteps[0].substitutions
+													);
+			Tree transformedtree = CheckHelper.transform(tr.startTree
+														, tr.transformationSteps[0].termPart
+														, newSubtree
+														);
+			Console.WriteLine("Test CheckHelper.transform\n" +
+							  "Input: oldTree " + tr.startTree + "\n" +
+							  "       subtree " + tr.transformationSteps[0].termPart + "\n" +
+							  "       newSubTree " + newSubtree + "\n" +
+							  "Result: " + transformedtree.ToString() + "\n");
+		}
+
+		public void testTree_equals()
+		{
+			Tree tree = CheckHelper.substitute(tr.transformationSteps[0].ruleStartTree(), tr.transformationSteps[0].substitutions);
+			Tree this_ = tr.transformationSteps[0].termPart;
+			Console.WriteLine("Test Tree.equals\n" +
+							  "Input: this " + this_ + "\n" +
+							  "       Tree  " + tree + "\n" +
+							  "Result: " + this_.Equals(tree) + "\n");
+		}
+
+		private string List_Substitution_ToString(List<Substitution> subs)
+		{
+			string result = "[ ";
+			foreach (Substitution sub in subs)
+				result += sub.tree.ToString() + " / " + sub.variable.name + ",";
+			result = result.Remove(result.Length - 1);
+			result += "]";
+			return result;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/Test.cs b/BaumtransformationBewerter/Testverwaltung/Test.cs
new file mode 100644
index 0000000000000000000000000000000000000000..4a40333e5580610990a39787f14a075cd7305986
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/Test.cs
@@ -0,0 +1,35 @@
+using Eingabeverwaltung;
+using Ausgabeverwaltung;
+
+namespace Testverwaltung
+{
+    public abstract class Test {
+
+        protected string resultString;
+        protected int numTests;
+        protected bool passed;
+        protected Eingabeverwalter ein;
+        protected Ausgabeverwalter aus;
+
+        public Test() 
+        { 
+            resultString = "";
+            ein = new Eingabeverwalter();
+            aus = new Ausgabeverwalter();
+            passed = true;
+        }
+
+        public abstract bool run();
+        public string getResultString() => resultString+"\r\n\r\n";
+        public int getNumTests() => numTests;
+
+        protected string assert(int TestID, string shallValue, string isValue) => assert(TestID.ToString(), shallValue, isValue);
+        protected string assert(string TestID, string shallValue, string isValue)
+        {
+            bool pass = shallValue == isValue;
+            passed = passed && pass;
+            if (pass) return "Test " + TestID + " passed.\r\n";
+            else return "\r\nTest " + TestID + " failed.\r\nshallValue:\r\n" + shallValue + "\r\nisValue:\r\n" + isValue + "\r\n\r\n";
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/Testverwalter.cs b/BaumtransformationBewerter/Testverwaltung/Testverwalter.cs
new file mode 100644
index 0000000000000000000000000000000000000000..2581dbef2be6764a0c4d890a2c6ca6c4ca53f8bf
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/Testverwalter.cs
@@ -0,0 +1,102 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Collections.Immutable;
+using System.IO;
+
+namespace Testverwaltung
+{
+    public class Testverwalter
+    {
+        private Container con;
+        private ImmutableDictionary<string, Action> TestManager;
+        public Testverwalter(Container con)
+        {
+            this.con = con;
+        }
+
+        public void verwalteTests()
+        {
+            string ausgabe = "Welche Tests sollen gestartet werden?";
+            TestManager = new Dictionary<string, Action>
+            {
+                ["manuell"] = Manual,
+                ["all auto"] = TestAll,
+                ["Transformation"] = TestTransformation,
+                ["Lemma"] = TestLemma,
+                ["Induktion"] = TestInduction,
+                ["?"] = giveHelp,
+                ["exit"] = Exit_Tests,
+            }.ToImmutableDictionary();
+            Console.WriteLine(ausgabe);
+            string eingabeArt = Console.ReadLine();
+            if (eingabeArt == "manuell" && con == null)
+            { 
+                Console.WriteLine("Cannot start manual Test. First fill the Container!");
+                verwalteTests(); return;
+            }
+            try
+            {                
+                TestManager[eingabeArt]();
+            }
+            catch (KeyNotFoundException) { Console.WriteLine("Command not found. Type ? for help."); verwalteTests(); }
+        }
+
+        /// <summary>
+        /// Starts manual Tests.
+        /// </summary>
+        private void Manual() => new ManualTests(con);
+
+        private void giveHelp()
+        {
+            foreach (string key in TestManager.Keys)
+                Console.WriteLine(key);
+            verwalteTests();
+        }
+
+        /// <summary>
+        /// Does nothing in order to let the Eingabe exit.
+        /// </summary>
+        private void Exit_Tests() { }
+        /// <summary>
+        /// Starts All Tests of Errorfinding.
+        /// </summary>
+        private void TestAll() => Test(new List<Test>() { new TransformationTest(), new LemmaTest(), new InductionTest() });
+        /// <summary>
+        /// Starts Test of Errorfinding for Transformation.
+        /// </summary>
+        private void TestTransformation() => Test(new List<Test>() { new TransformationTest() }); 
+        /// <summary>
+        /// Starts Test of Errorfinding for Lemma.
+        /// </summary>
+        private void TestLemma() => Test(new List<Test>() { new LemmaTest() });
+        /// <summary>
+        /// Starts Test of Errorfinding for Induction
+        /// </summary>
+        private void TestInduction() => Test(new List<Test>() { new InductionTest() });
+
+        private void Test(List<Test> tests)
+        {
+            string resultString = ""; bool result = true; int numTests = 0; DateTime time = DateTime.Now;
+            foreach (Test test in tests)
+            {
+                result = result && test.run();
+                resultString += test.getResultString();
+                numTests += test.getNumTests();
+            }
+            File.WriteAllText(fileName(), startText(numTests,time) + resultString);
+            Console.WriteLine("Testergebnis: bestanden = " + result + ". Mehr Details sind in txt Datei.");
+        }
+
+        private string startText(int numTests, DateTime startTime)
+        {
+            return "Test of BaumTransformationBewerter according:\r\n" +
+                   "Finding of Errors\r\n" +
+                   "Number of Tests: " + numTests + "\r\n" +
+                   "Time started: " + startTime + "\r\n" +
+                   "Run Time "+((DateTime.Now-startTime))+"\r\n\r\n";
+        }
+
+        private string fileName() => "Test Ergebnisse.txt";
+    }
+}
diff --git a/BaumtransformationBewerter/Testverwaltung/TransformationTest.cs b/BaumtransformationBewerter/Testverwaltung/TransformationTest.cs
new file mode 100644
index 0000000000000000000000000000000000000000..8ed6f71f9ad5462b4a0ec44b9cdf1424614eb9bc
--- /dev/null
+++ b/BaumtransformationBewerter/Testverwaltung/TransformationTest.cs
@@ -0,0 +1,56 @@
+using Ueberpruefung;
+using System.Collections.Generic;
+
+namespace Testverwaltung
+{
+	public class TransformationTest : Test
+	{
+		private List<string> shouldValues;
+
+		public TransformationTest() : base()
+		{
+			numTests = 15;
+			shouldValues = new List<string>();
+			string err = "";
+			string errO = "[ inc( n ) / n ]";
+			for (int ts = -1, sub = -1, error = 1; error < numTests; error++)
+			{
+                switch (error)
+                {
+					case 3:  err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 1 , 2  ); ts = 1; break;
+					case 4:  err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 1 , 1  );         break;
+					case 5:  err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 1 , sub)+
+								   aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 2 , sub);         break;
+					case 6:  err = aus.ErrorMessage(new List<Error>() { new Error(6),new Error(7)          }, 2 , sub);         break;
+					case 8:  err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 2 , sub);         break;
+					case 9:  err = aus.ErrorMessage(new List<Error>() {              new Error(error,errO) }, ts, sub);         break;
+					case 10: err = aus.ErrorMessage(new List<Error>() { new Error(8),new Error(error,errO) }, ts, sub);         break;
+					case 12: err = aus.ErrorMessage(new List<Error>() { new Error(8),new Error(error)      }, ts, sub);         break;
+					case 13: err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, 1 , 2  );         break;
+					default: err = aus.ErrorMessage(new List<Error>() { new Error(error)                   }, ts, sub);         break;
+				}
+				shouldValues.Add("Hauptbeweis\r\n" + err);
+			}
+		}
+		public override bool run()
+        {
+			string path = "Tests\\simpl\\";
+			resultString = "Testing Finding Errors in Transformation\r\n\r\n";
+			ein.Eingabe_Interface("ADT", path + "ADT_Bsp.adt");
+			ein.Eingabe_Interface("Task", path + "Task_Bsp.task");
+			ein.Eingabe_Interface("Proof", path + "Proof_correct.proof");
+			Ueberpruefer.ueberpruefe(ein.GetContainer());
+			resultString += assert(0, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+			for (int error = 1; error < numTests - 1; error++)
+			{
+				ein.Eingabe_Interface("Proof", path + "Proof_error_" + error + ".proof");
+				Ueberpruefer.ueberpruefe(ein.GetContainer());
+				resultString += assert(error, shouldValues[error - 1], aus.printAllErrors(ein.GetContainer()));
+			}
+			ein.Eingabe_Interface("Proof", path + "Proof_correct_rl.proof");
+			Ueberpruefer.ueberpruefe(ein.GetContainer());
+			resultString += assert(14, aus.NoErrors(), aus.printAllErrors(ein.GetContainer()));
+			return passed;
+		}
+	}
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckHelper.cs b/BaumtransformationBewerter/Ueberpruefung/CheckHelper.cs
new file mode 100644
index 0000000000000000000000000000000000000000..4eb72270b240e995eebfb14bb36b89730ff04c93
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckHelper.cs
@@ -0,0 +1,214 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Generic;
+using System;
+
+namespace Ueberpruefung
+{
+    public static class CheckHelper
+    {
+        public static Tree substitute(Tree tree, Substitution sub) => substitute(tree, new List<Substitution>() { sub });
+        public static Tree substitute(Tree tree, List<Substitution> subs)
+        {
+            foreach(Substitution sub in subs)
+            {
+                if (tree as TreeVariable != null)
+                {
+                    TreeVariable workingTree = tree as TreeVariable;
+                    if (workingTree.variable == sub.variable) tree = sub.tree.Copy();
+                }
+                else
+                {
+                    if (tree as ComposedTree != null)
+                    {
+                        ComposedTree workingTree = tree as ComposedTree;
+                        List<Tree> substitutedChildren = new List<Tree>();
+                        for (int i = 0; i < workingTree.children.Count; i++)
+                            substitutedChildren.Add(substitute(workingTree.children[i], sub));
+                        tree = new ComposedTree(workingTree.operation, substitutedChildren);
+                    }
+                    else throw new Exception("Found a tree that is wether TreeVariable nor ComposedTree: " + tree.ToString());
+                }
+            }
+            return tree;
+        }
+
+        /// <summary>
+        /// finds substitution from fromEq to toEq. Splits the found substitutions in substitutions with composed trees (subs) and
+        /// substitutions with tree variable (renamings). Subs is null, if result is false.
+        /// </summary>
+        /// <param name="fromEq"></param>
+        /// <param name="toEq"></param>
+        /// <param name="subs"></param>
+        /// <param name="renamings"></param>
+        public static bool getSubsAndRenamings(Equation fromEq, Equation toEq, out List<Substitution> subs, out List<Substitution> renamings)
+        {
+            subs = findSubstitution(fromEq, toEq, new List<Variable>(), new List<Variable>());
+            renamings = new List<Substitution>();
+            // split in renamings and real substitutions
+            if (subs == null)
+                return false;
+            else
+                for (int i = 0; i < subs.Count; i++)
+                    if (subs[i].tree is TreeVariable)
+                    {
+                        renamings.Add(subs[i]);
+                        subs.RemoveAt(i); i--;
+                    }
+            return true;
+        }
+
+        /// <summary>
+        /// Same as findSubstitution for Trees, but this is for Equation.
+        /// It tries substitution for equal direction first, if fails tries substitution for crossed direction.
+        /// </summary>
+        /// <param name="forEq"></param>
+        /// <param name="toEq"></param>
+        /// <param name="forFixed">Fixed variables in forEq. Input empty List here if you want to ignore that variables are fixed.</param>
+        /// <param name="toFixed">Fixed variables in toEq. Input empty List here if you don't want to substitute fixed variables at all.</param>
+        /// <returns></returns>
+        public static List<Substitution> findSubstitution(Equation forEq, Equation toEq, List<Variable> forFixed, List<Variable> toFixed)
+        {
+            List<Substitution> findSubsOneDirection(Equation forEq, Equation toEq, List<Variable> forFixed, List<Variable> toFixed, bool swapped)
+            {
+                List<Substitution> result1 = null, result2 = null;
+                if (!swapped)
+                {
+                    result1 = findSubstitution(forEq.leftTree , toEq.leftTree , forFixed, toFixed);
+                    result2 = findSubstitution(forEq.rightTree, toEq.rightTree, forFixed, toFixed);
+                }
+                else
+                {
+                    result1 = findSubstitution(forEq.leftTree, toEq.rightTree, forFixed, toFixed);
+                    result2 = findSubstitution(forEq.rightTree, toEq.leftTree, forFixed, toFixed);
+                }
+                return unionSubstitutions(result1, result2);
+            }
+            List<Substitution> result = findSubsOneDirection(forEq, toEq, forFixed, toFixed, false);
+            if (result == null) result = findSubsOneDirection(forEq, toEq, forFixed, toFixed, true);
+            return result;
+        }
+
+        /// <summary>
+        /// Same as findSubstitution(forTree,toTree), but checks to not substitute fixed variables,
+        /// except it is a renaming to another fixed variable with same name.
+        /// </summary>
+        /// <param name="forTree"></param>
+        /// <param name="toTree"></param>
+        /// <param name="forFixed">Fixed variables in forTree. Input empty List here if you want to ignore that variables are fixed.</param>
+        /// <param name="toFixed">Fixed variables in toTree. Input empty List here if you don't want to substitute fixed variables at all.</param>
+        /// <param name="allowFixedRenaming"> Determines if renaming of fixed variables to a fixed Variable with another name is allowed.</param>
+        /// <returns></returns>
+        public static List<Substitution> findSubstitution(Tree forTree, Tree toTree, List<Variable> forFixed, List<Variable> toFixed, bool allowFixedRenaming = false)
+        {
+            List<Substitution> result = findSubstitution(forTree, toTree);
+            if (result != null)
+                foreach(Substitution sub in result)
+                    if (forFixed.Contains(sub.variable))
+                        if (sub.tree is TreeVariable tv && toFixed.Contains(tv.variable) && (allowFixedRenaming || sub.variable.name == tv.variable.name)) { }
+                        else return null; // substitution not possible due to fixedVars
+            return result;
+        }
+
+        /// <summary>
+        /// Finds a List of Substitutions for the <paramref name="forTree"/>, so if you use this Substitutions 
+        /// on the <paramref name="forTree"/> you will get the <paramref name="toTree"/>.
+        /// 
+        /// </summary>
+        /// <remarks> 
+        /// Assumes all variables are allquantified. 
+        /// Use findSubstitution with Lists of fixed variables, if the substitutions should consider fixed variables
+        /// </remarks>
+        /// <param name="forTree"></param>
+        /// <param name="toTree"></param>
+        /// <returns>
+        /// Returns an empty List if forTree.Equals(toTree).
+        /// Returns null if such a Substitution not exists.
+        /// </returns>
+        public static List<Substitution> findSubstitution(Tree forTree, Tree toTree)
+        {
+            if (forTree as TreeVariable != null)
+                return new List<Substitution>() { new Substitution(((TreeVariable)forTree).variable, toTree) };
+            else if (forTree as ComposedTree != null && toTree as ComposedTree != null)
+            {
+                ComposedTree forCTree = forTree as ComposedTree;
+                ComposedTree toCTree = toTree as ComposedTree;
+                if (forCTree.operation == toCTree.operation)
+                {
+                    List<Substitution> result = new List<Substitution>();
+                    for (int forChild = 0; forChild < forCTree.children.Count; forChild++)
+                    {
+                        List<Substitution> childResult = findSubstitution(forCTree.children[forChild], toCTree.children[forChild]);
+                        if (unionSubstitutions(result, childResult) == null) return null;
+                    }
+                    return result;
+                }
+                return null;
+            }
+            else if (forTree as ComposedTree != null && toTree as TreeVariable != null) return null;
+            else throw new Exception("Found a tree that is wether TreeVariable nor ComposedTree: forTree: " + forTree.ToString() + ", toTree: " + toTree.ToString());            
+        }
+
+        /// <summary>
+        /// Given two substitutions, result is the union of them.
+        /// Returns null if one argument is null or the substitutions are incompatible.
+        /// @pre: subs1 and subs2 are correct substitutions or null
+        /// @post: result is correct substitution and result = @post.subs1 and @post.subs2 = @pre.subs2-@pre.subs1 or result = null
+        /// </summary>
+        /// <param name="subs1"></param>
+        /// <param name="subs2"></param>
+        /// <returns></returns>
+        public static List<Substitution> unionSubstitutions(List<Substitution> subs1, List<Substitution> subs2)
+        {
+            if (subs1 == null || subs2 == null) return null;
+            foreach (Substitution sub in subs1)
+                for (int sub2 = 0; sub2 < subs2.Count; sub2++)
+                {
+                    if (sub.variable == subs2[sub2].variable)
+                    {
+                        if (!sub.tree.Equals(subs2[sub2].tree)) return null;
+                        subs2.RemoveAt(sub2);
+                        sub2--;
+                    }
+                }
+            subs1.AddRange(subs2);
+            return subs1;
+        }
+
+        /// <summary>
+        /// Searches the subTree in the oldTree and replace it with newSubTree.
+        /// Returns a new Tree or null if not able to find.
+        /// </summary>
+        /// <param name="oldTree"></param>
+        /// <param name="subTree"></param>
+        /// <param name="newSubTree"></param>
+        /// <returns></returns>
+        public static Tree transform(Tree oldTree, Tree subTree, Tree newSubTree, int matchingID = 1)
+         => transform(oldTree, subTree, newSubTree, matchingID, new int[] { 0 });
+        private static Tree transform(Tree oldTree, Tree subTree, Tree newSubTree, int matchingID, int[] foundMatchings )
+        {
+            Tree tree = oldTree.Copy();
+            if (tree.Equals(subTree)) 
+                if (++foundMatchings[0] == matchingID) return newSubTree;
+                else return null;
+            if (tree as TreeVariable != null) return null;
+            if (tree as ComposedTree != null)
+            {
+                ComposedTree cTree = tree as ComposedTree;
+                bool foundSubTree = false;
+                for (int childNr = 0; childNr < cTree.children.Count; childNr++)
+                {
+                    Tree transformedSChild = transform(cTree.children[childNr], subTree, newSubTree, matchingID, foundMatchings);                    
+                    if (transformedSChild != null)
+                    {
+                        cTree.children[childNr] = transformedSChild;
+                        foundSubTree = true;
+                        break;
+                    }
+                }
+                if (foundSubTree) return cTree;
+                else return null;
+            }
+            else throw new Exception("Found a tree that is wether TreeVariable nor ComposedTree: " + tree.ToString());
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckFixedVarsNotSubstituted.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckFixedVarsNotSubstituted.cs
new file mode 100644
index 0000000000000000000000000000000000000000..30ec506c45d8f776b2dc0f8f7a898bb32c41d478
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckFixedVarsNotSubstituted.cs
@@ -0,0 +1,29 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 37
+    /// </summary>
+    public class CheckFixedVarsNotSubstituted : ElementChecker
+    {
+        public CheckFixedVarsNotSubstituted() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                bool result = true;
+                string output = "";
+                foreach(Substitution sub in ts.substitutions)
+                    if (ts.rule.IsFixed(sub.variable))
+                        // renamings without changing name are substitutions added at model creating and are no errors
+                        if (!(sub.tree is TreeVariable tv && tv.name == sub.variable.name))
+                        { result = false; output += sub.variable.name+" "; }
+                if (!result) ts.errors.Add(new Error(37, output));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseType.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseType.cs
new file mode 100644
index 0000000000000000000000000000000000000000..2d11e8bef116d152f3c63a10f607b9a3bf776dc4
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseType.cs
@@ -0,0 +1,33 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 41
+    /// @pre: constructors of cases must be set
+    /// </summary>
+    public class CheckIndCaseType : ElementChecker
+    {
+        /// <summary>
+        /// checks error 41
+        /// @pre: constructors of cases must be set
+        /// </summary>
+        public CheckIndCaseType() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is InductionCase indC)
+            {
+                bool result = true;
+                if (indC.type == "IA")
+                    { if (indC.Constructor != null) result = indC.Constructor is BasicConstructor; }
+                else if (indC.type == "IS")
+                    { if (indC.Constructor != null) result = indC.Constructor is BuildingConstructor; }
+                else throw new Exception("Found an unknown induction case type: " + indC.type);
+                if (!result) indC.errors.Add(new Error(41));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseTypeIsValid.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseTypeIsValid.cs
new file mode 100644
index 0000000000000000000000000000000000000000..4c6f65cc84346deb3dd5635c74f8941bded07242
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCaseTypeIsValid.cs
@@ -0,0 +1,45 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 33
+    /// @pre: constructors of cases must be set
+    /// </summary>
+    public class CheckIndCaseTypeIsValid : ElementChecker
+    {
+        /// <summary>
+        /// checks error 33
+        /// @pre: constructors of cases must be set
+        /// </summary>
+        public CheckIndCaseTypeIsValid() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                if (ind.indVar == null) return true;
+                List<InductionCase> invalidCases = new List<InductionCase>();
+                for (int i1 = 0; i1 < ind.indCases.Count; i1++)
+                { 
+                    InductionCase ic1 = ind.indCases[i1];
+                    if (ic1.Constructor == null) { if (!invalidCases.Contains(ic1)) invalidCases.Add(ic1); }
+                    else
+                        for (int i2 = i1 + 1; i2 < ind.indCases.Count; i2++)
+                        {
+                            InductionCase ic2 = ind.indCases[i2];
+                            if (ic1.Constructor == ic2.Constructor)
+                                if (!invalidCases.Contains(ic2)) invalidCases.Add(ic2);
+                        }
+                }
+                foreach (InductionCase ic in invalidCases)
+                    ic.errors.Add(new Error(33));
+                return invalidCases.Count == 0;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCasesAllExisting.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCasesAllExisting.cs
new file mode 100644
index 0000000000000000000000000000000000000000..08179f4cf082326f97777a9b7419a612db70d9f1
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndCasesAllExisting.cs
@@ -0,0 +1,40 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 32
+    /// @pre: constructors of cases must be set
+    /// </summary>
+    public class CheckIndCasesAllExisting : ElementChecker 
+    {
+        /// <summary>
+        /// checks error 32
+        /// @pre: constructors of cases must be set
+        /// </summary>
+        public CheckIndCasesAllExisting() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                if (ind.indVar == null) return true;
+                List<Constructor> indCasesCs = new List<Constructor>();
+                foreach (InductionCase indCase in ind.indCases) indCasesCs.Add(indCase.Constructor);
+                List<Constructor> indVarCs = new List<Constructor>(ind.indVar.sort.GetConstructors());
+                for (int iVC = 0; iVC < indVarCs.Count; iVC++)
+                    if (indCasesCs.Contains(indVarCs[iVC])) { indVarCs.RemoveAt(iVC); iVC--; }
+                if (indVarCs.Count != 0) 
+                {
+                    string output = "";
+                    foreach (Constructor indVarC in indVarCs) output += indVarC.name + " ";
+                    ind.errors.Add(new Error(32, output));
+                    return false;
+                }
+                else return true;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypCanBeUseful.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypCanBeUseful.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ff7eccc10f9105858a2eded6036f488fdf4b1786
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypCanBeUseful.cs
@@ -0,0 +1,44 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Text;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 43
+    /// </summary>
+    public class CheckIndHypCanBeUseful : ElementChecker
+    {
+        /// <summary>
+        /// checks error 43
+        /// </summary>
+        public CheckIndHypCanBeUseful() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                List<string> bPVNames = new List<string>();
+                foreach (InductionCase ic in ind.indCases)
+                    if (ic.BuildingParameterVariables != null)
+                        foreach (Variable bPV in ic.BuildingParameterVariables)
+                            if (!bPVNames.Contains(bPV.name)) bPVNames.Add(bPV.name);
+                bool result = true;
+                foreach(InductionHypothesis ih in ind.indHyps)
+                {
+                    CheckHelper.getSubsAndRenamings(ind.eq, ih.eq, out List<Substitution> subs, out List<Substitution> renamings);
+                    if (subs == null) continue;
+                    string ihBuildingVarName = "";
+                    foreach (Substitution renaming in renamings)
+                        if (renaming.tree is TreeVariable tv && renaming.variable == ind.indVar)
+                            ihBuildingVarName = tv.name;
+                    if (ihBuildingVarName != "")
+                        if (!bPVNames.Contains(ihBuildingVarName))
+                        { result = false; ih.errors.Add(new Error(43)); }
+                }
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypNotUsedInIA.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypNotUsedInIA.cs
new file mode 100644
index 0000000000000000000000000000000000000000..fc8c890bd549dfb52d71e7f1f93651a16f55cb1d
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypNotUsedInIA.cs
@@ -0,0 +1,37 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 36 
+    /// @pre: constructors of cases must be set
+    /// </summary>
+    public class CheckIndHypNotUsedInIA : ElementChecker
+    {
+        /// <summary>
+        /// checks error 36 
+        /// @pre: constructors of cases must be set
+        /// </summary>
+        public CheckIndHypNotUsedInIA() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is InductionCase indC)
+            {
+                if (indC.Constructor != null && indC.Constructor is BasicConstructor)
+                {
+                    bool result = true;
+                    foreach (TransformationStep ts in indC.proof.transformationSteps)
+                        if (ts.rule is InductionHypothesis)
+                        {
+                            result = false;
+                            ts.errors.Add(new Error(36));
+                        }
+                    return result;
+                }
+                else return true;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypsUnique.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypsUnique.cs
new file mode 100644
index 0000000000000000000000000000000000000000..eca6d670e5bb5d00cd21ec62a9956531de5f607f
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndHypsUnique.cs
@@ -0,0 +1,41 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 42
+    /// </summary>
+    public class CheckIndHypsUnique : ElementChecker
+    {
+        /// <summary>
+        /// checks error 42
+        /// </summary>
+        public CheckIndHypsUnique() :base() { }
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                if (ind.indVar == null) return true;
+                bool result = true;
+                List<string> ihBuildingVarNames = new List<string>();
+                foreach(InductionHypothesis ih in ind.indHyps)
+                {
+                    CheckHelper.getSubsAndRenamings(ind.eq, ih.eq, out List<Substitution> subs, out List<Substitution> renamings);
+                    if (subs == null) continue;
+                    string ihBuildingVarName = "";
+                    foreach (Substitution renaming in renamings)
+                        if (renaming.tree is TreeVariable tv && renaming.variable == ind.indVar)
+                            ihBuildingVarName = tv.name;
+                    if (ihBuildingVarName != "")
+                        if (ihBuildingVarNames.Contains(ihBuildingVarName))
+                        { result = false; ih.errors.Add(new Error(42)); }
+                        else ihBuildingVarNames.Add(ihBuildingVarName);
+                }
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquation.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquation.cs
new file mode 100644
index 0000000000000000000000000000000000000000..8cc4a13a57fb7a4f30fecb3558b9ed19bc3ed8f0
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquation.cs
@@ -0,0 +1,143 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 34
+    /// <br></br>
+    /// sets constructor and buildingParamaterVariable of ind cases if context is Induction
+    /// </summary>
+    public class CheckIndPartEquation : ElementChecker
+    {
+        private readonly Induction parent;
+        public CheckIndPartEquation(Induction parent) : base() { this.parent = parent; }
+        public override bool check(Element e)
+        {
+            if (parent.indVar == null) return true;
+            if (e is InductionHypothesis ih)
+            {
+                CheckHelper.getSubsAndRenamings(parent.eq, ih.eq, out List<Substitution> subs, out List<Substitution> renamings);
+                bool result = true;
+                string errOutput = "";
+                // check sub
+                if (subs == null || subs.Count != 0)
+                {
+                    result = false;
+                    // find any buildingParameterVariable in one of the Inductioncases, if existing
+                    Variable bPV = null;
+                    foreach (InductionCase ic in parent.indCases)
+                        if (ic.BuildingParameterVariables != null) { bPV = ic.BuildingParameterVariables[0]; break; }
+                    if (bPV != null)
+                        errOutput += constructCorrectedEquation(parent.eq, parent.fixedVars, new Substitution(parent.indVar, new TreeVariable(bPV)));
+                }
+                else// check renamings: the name should not change, except for indVar
+                    foreach (Substitution sub in renamings)
+                        if (sub.variable != parent.indVar)
+                            result &= sub.variable.name == ((TreeVariable)sub.tree).name;
+                if (!result) ih.errors.Add(new Error(34, errOutput));
+                return result;
+            }
+            else if (e is InductionCase ic)
+            {
+                CheckHelper.getSubsAndRenamings(parent.eq, ic.eq, out List<Substitution> subs, out List<Substitution> renamings); 
+                // check sub, only 1 real substitution allowed
+                bool result = subs != null && subs.Count == 1; string errOutput = "";
+                if (result && subs[0].tree is ComposedTree cTree)
+                {                    
+                    if (cTree.operation is Constructor c) // if its not constructor, then its job of 33
+                    {                        
+                        {// 1. safe constructor and buildingParameterVariable
+                            ic.Constructor = c;
+                            if (c is BuildingConstructor bc)
+                            {
+                                ic.BuildingParameterVariables = new List<Variable>();
+                                bool variableIsOnBuildingParameter = true;
+                                foreach (int buildingParameter in bc.buildingParameters)
+                                    if (cTree.children[buildingParameter] is TreeVariable tv)
+                                        ic.BuildingParameterVariables.Add(tv.variable);
+                                    else // instead of inductionvariable an inner Tree or constant is used
+                                        variableIsOnBuildingParameter = false;
+                                if (variableIsOnBuildingParameter && ic.BuildingParameterVariables.Count == 0)
+                                    throw new Exception("Found building constructor " + bc.name + " without building parameters!");
+                                result &= variableIsOnBuildingParameter;
+                            }
+                        }
+                        // 2. all children must be variable
+                        List<string> childVars = new List<string>();
+                        foreach (Tree child in cTree.children) 
+                            if (child is TreeVariable tv) childVars.Add(tv.variable.name);
+                            else result = false;
+                        // 3. get all variables from parent, except ind var
+                        List<string> indVars = new List<string>();
+                        foreach (Variable var in parent.eq.variables)
+                            indVars.Add(var.name);
+                        indVars.Remove(parent.indVar.name);
+                        // 4. the children's variables must be new for the equation (except indVar)
+                        for (int i = 0; i < childVars.Count; i++)
+                            if (!indVars.Contains(childVars[i])) { childVars.RemoveAt(i); i--; }
+                        result &= childVars.Count == 0;
+                        // 5. check renamings: the name should not change
+                        foreach (Substitution sub in renamings)
+                            result &= sub.variable.name == ((TreeVariable)sub.tree).name;
+                        // 6. only ind var is allowed to be substituted by composed tree
+                        result &= subs[0].variable == parent.indVar;
+                        // 7. build corrected constructor for error output
+                        if (!result)
+                        {
+                            if (parent.indVar.sort == cTree.sort)
+                            {
+                                List<Tree> children = new List<Tree>();
+                                for (int i = 0; i < cTree.children.Count; i++)
+                                    if (cTree.children[i] is TreeVariable tv && !childVars.Contains(tv.name)) children.Add(tv);
+                                    else children.Add(new TreeVariable(new Variable("Y-" + i, cTree.children[i].sort)));
+                                ComposedTree correctConstructor = new ComposedTree(cTree.operation, children);
+                                errOutput = constructCorrectedEquation(parent.eq, parent.fixedVars, new Substitution(parent.indVar, correctConstructor));
+                            }
+                        }
+                    }
+                }
+                if (!result) ic.errors.Add(new Error(34, errOutput));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+
+        /// <summary>
+        /// @pre: if sub.tree is ComposedTree :  all children must be TreeVariable
+        /// </summary>
+        /// <param name="fromEq"></param>
+        /// <param name="fixedVars"></param>
+        /// <param name="sub"></param>
+        /// <param name="bPV">buildingParameterVariable</param>
+        /// <returns></returns>
+        private string constructCorrectedEquation(Equation fromEq, List<Variable> fromFixedVars, Substitution sub)
+        {
+            Tree leftTree = CheckHelper.substitute(fromEq.leftTree.Copy(), sub);
+            Tree rightTree = CheckHelper.substitute(fromEq.rightTree.Copy(), sub);
+            List<Variable> variables = new List<Variable>(fromEq.variables); variables.Remove(sub.variable);
+            Equation eq = new Equation(leftTree, rightTree, variables);
+            List<Variable> fixedVars = new List<Variable>(fromFixedVars);
+            if (sub.tree is ComposedTree cTree)
+            {   // constructing for indCase
+                List<Variable> constructorVariables = new List<Variable>();
+                foreach (Tree child in cTree.children)
+                    if (child is TreeVariable tv)
+                        constructorVariables.Add(tv.variable);
+                variables.AddRange(constructorVariables);
+                if (cTree.operation is BuildingConstructor bc)
+                    foreach(int buildingParameter in bc.buildingParameters)
+                        if (cTree.children[buildingParameter] is TreeVariable tv)
+                            fixedVars.Add(tv.variable);
+            }
+            else if (sub.tree is TreeVariable tr)
+            {   // constructing for indHypothesis
+                variables.Add(tr.variable);
+                fixedVars.Add(tr.variable);
+            }
+            string result = new TaskLemma("", eq, fixedVars).ToString();
+            return result.Remove(result.Length - 2); // remove new line character at the end
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationFixedVars.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationFixedVars.cs
new file mode 100644
index 0000000000000000000000000000000000000000..abd581a698a223bd2932c1e2ef5b5fcf5417713e
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationFixedVars.cs
@@ -0,0 +1,72 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// abstract class for checker of error 35 and 40 <br></br>
+    /// This class is usefull, because both checker need 95% same code and its necessary to have two different checker for
+    /// both errors, because error 35 have to influence on the value isProved while error 40 shouldn't.
+    /// </summary>
+    public abstract class CheckIndPartEquationFixedVars : ElementChecker
+    {
+        protected readonly Induction parent;
+        public CheckIndPartEquationFixedVars(Induction parent) : base()
+        {
+            this.parent = parent;
+        }
+
+        public override bool check(Element e)
+        {
+            if (parent.indVar == null) return true;
+            if (e is InductionCase ic)
+            {
+                List<Variable> shouldValue = new List<Variable>(parent.fixedVars);
+                shouldValue.Remove(parent.indVar); // for the case ind var is fixed
+                if (ic.BuildingParameterVariables != null) 
+                    foreach(Variable bPV in ic.BuildingParameterVariables)
+                        shouldValue.Add(bPV);
+                return check(shouldValue, ic.fixedVars, ic.errors);
+            }
+            else if (e is InductionHypothesis ih)
+            {
+                List<Variable> shouldValue = new List<Variable>(parent.fixedVars);
+                shouldValue.Remove(parent.indVar); // for the case ind var is fixed
+                List<Substitution> subs = CheckHelper.findSubstitution(parent.eq, ih.eq, new List<Variable>(), new List<Variable>());
+                if (subs != null)
+                    foreach (Substitution sub in subs)
+                        if (sub.variable == parent.indVar)
+                            if (sub.tree is TreeVariable tv) shouldValue.Add(tv.variable); 
+                return check(shouldValue, ih.fixedVars, ih.errors);
+            }
+            else throw new InvalidOperationException();
+        }
+
+        protected abstract bool check(List<Variable> shouldValueFixedVars, List<Variable> isValueFixedVars, List<Error> contextErrorList);
+
+        /// <summary>
+        /// checks error 35. Removes all should be fixed vars from isValueFixedVars and prints error output in err35Output if result is false.
+        /// </summary>
+        /// <param name="shouldValueFixedVars"></param>
+        /// <param name="isValueFixedVars"></param>
+        /// <param name="err35Output"></param>
+        /// <returns></returns>
+        protected bool check35(List<Variable> shouldValueFixedVars, List<Variable> isValueFixedVars, out string err35Output)
+        {
+            err35Output = "";
+            // 35: each fixed var from ind must be in fixed vars of indCase
+            bool result35 = true;
+            foreach (Variable indFixedVar in shouldValueFixedVars)
+            { // not direct comparison of vars, because can be renamed to different var with same name
+                bool found = false;
+                foreach (Variable caseFixedVar in isValueFixedVars)
+                    if (indFixedVar.name == caseFixedVar.name)
+                    { found = true; isValueFixedVars.Remove(caseFixedVar); break; }
+                if (!found) err35Output += indFixedVar.name + " ";
+                result35 &= found;
+            }
+            return result35;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsFixed.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsFixed.cs
new file mode 100644
index 0000000000000000000000000000000000000000..deb2e3bd70aefde6721cdc1d3a1cb127398c73af
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsFixed.cs
@@ -0,0 +1,29 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 35
+    /// </summary>
+    public class CheckIndPartEquationIsFixed : CheckIndPartEquationFixedVars
+    {
+        public CheckIndPartEquationIsFixed(Induction parent) :base(parent) { }
+
+        /// <summary>
+        /// checks using the should value and is value of fixed vars. Writes errors to contextErrorList <br></br>
+        /// uses check35 from base class.
+        /// </summary>
+        /// <param name="shouldValueFixedVars"></param>
+        /// <param name="isValueFixedVars"></param>
+        /// <param name="contextErrorList"></param>
+        /// <returns></returns>
+        protected override bool check(List<Variable> shouldValueFixedVars, List<Variable> isValueFixedVars, List<Error> contextErrorList)
+        {
+            isValueFixedVars = new List<Variable>(isValueFixedVars); // copy list
+            bool result = check35(shouldValueFixedVars,isValueFixedVars, out string err35Output);
+            if (!result) contextErrorList.Add(new Error(35, err35Output));
+            return result;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsNotFixed.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsNotFixed.cs
new file mode 100644
index 0000000000000000000000000000000000000000..cdf38add6f144faea39dd838d52a611e30affaae
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndPartEquationIsNotFixed.cs
@@ -0,0 +1,36 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 40
+    /// </summary>
+    public class CheckIndPartEquationIsNotFixed : CheckIndPartEquationFixedVars
+    {
+        public CheckIndPartEquationIsNotFixed(Induction parent) : base(parent) { }
+
+        /// <summary>
+        /// checks using the should value and is value of fixed vars. Writes errors to contextErrorList <br></br>
+        /// uses check35 from base class.
+        /// </summary>
+        /// <param name="shouldValueFixedVars"></param>
+        /// <param name="isValueFixedVars"></param>
+        /// <param name="contextErrorList"></param>
+        /// <returns></returns>
+        protected override bool check(List<Variable> shouldValueFixedVars, List<Variable> isValueFixedVars, List<Error> contextErrorList)
+        {
+            isValueFixedVars = new List<Variable>(isValueFixedVars); // copy list
+            check35(shouldValueFixedVars, isValueFixedVars, out _);
+            bool result = isValueFixedVars.Count == 0;
+            if (!result)
+            {
+                string output = "";
+                foreach (Variable var in isValueFixedVars)
+                    output += var.name + " ";
+                contextErrorList.Add(new Error(40, output));
+            }
+            return result;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndTask_Satisfied.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndTask_Satisfied.cs
new file mode 100644
index 0000000000000000000000000000000000000000..75f0b64715cde0812d0378131da66966b95c1b5c
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndTask_Satisfied.cs
@@ -0,0 +1,65 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 38, 39
+    /// </summary>
+    public class CheckIndTask_Satisfied : ElementChecker
+    {
+        public CheckIndTask_Satisfied() : base() { }
+
+        public override bool check(Element e)
+        {
+            if (e is Container con)
+                if (con.Task.task.indVariable == null) return true;
+                else return check(con.Task.task.indVariable, con.Proof.proof);
+            else if (e is Lemma l)
+                if (l.OwnTask != null && l.OwnTask.indVariable != null)
+                {   // due to variables of lemmata can be renamed, this must also be considered at induction variable
+                    CheckHelper.getSubsAndRenamings(l.eq, l.OwnTask.eq, out _, out List<Substitution> renamings);
+                    Substitution indVarRenaming = FindVariableOfSubstitution(renamings, new TreeVariable(l.OwnTask.indVariable));
+                    if (indVarRenaming != null) return check(indVarRenaming, l.proof);
+                    else return check(l.OwnTask.indVariable, l.proof);
+                }
+                else return true;
+            else throw new InvalidOperationException();
+        }
+
+        private bool check(Variable taskIndVar, SingleProof proof) => check(new Substitution(taskIndVar, new TreeVariable(taskIndVar)), proof);
+
+        /// <param name="taskRenaming">Renaming of induction variable of proof to induction variable of Task.</param>
+        /// <param name="proof"></param>
+        /// <returns></returns>
+        private bool check(Substitution taskRenaming, SingleProof proof)
+        {
+            bool result = true;
+            Variable taskIndVar = ((TreeVariable)taskRenaming.tree).variable;
+            if (proof is Transformation tr)
+            { result = false; tr.errors.Add(new Error(39)); }
+            else if (proof is Induction ind)
+            {
+                if (ind.indVar != taskRenaming.variable)
+                { result = false; ind.errors.Add(new Error(38)); }
+            }
+            else throw new Exception("Found a single proof that is neither Transformation nor Induction!");
+            return result;
+        }
+
+        /// <summary>
+        /// Finds the first substitution in the list of substitutions where the tree is equal to the given tree.
+        /// </summary>
+        /// <param name="subs"></param>
+        /// <param name="tree"></param>
+        /// <returns></returns>
+        private Substitution FindVariableOfSubstitution(List<Substitution> subs, Tree tree)
+        {
+            Substitution result = null;
+            foreach(Substitution sub in subs)
+                if (sub.tree.Equals(tree)) return sub;
+            return result;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarHasConstructors.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarHasConstructors.cs
new file mode 100644
index 0000000000000000000000000000000000000000..a4dc095012672f199bfb22b8a87282086e371c45
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarHasConstructors.cs
@@ -0,0 +1,24 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 31
+    /// </summary>
+    public class CheckIndVarHasConstructors : ElementChecker
+    {
+        public CheckIndVarHasConstructors() : base() { }
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                if (ind.indVar == null) return true;
+                bool result = ind.indVar.sort.GetConstructors().Count > 0;
+                if (!result) ind.errors.Add(new Error(31));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarNotFixed.cs b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarNotFixed.cs
new file mode 100644
index 0000000000000000000000000000000000000000..1afc7b29076e5c04e056d36074412051678c9c1a
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckInduction/CheckIndVarNotFixed.cs
@@ -0,0 +1,24 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckInduction
+{
+    /// <summary>
+    /// checks error 30
+    /// </summary>
+    public class CheckIndVarNotFixed : ElementChecker
+    { 
+        public CheckIndVarNotFixed() :base() { }
+
+        public override bool check(Element e)
+        {
+            if (e is Induction ind)
+            {
+                bool result = !ind.fixedVars.Contains(ind.indVar);
+                if (!result) ind.errors.Add(new Error(30));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckLemmaEqualsTask.cs b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaEqualsTask.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7d84807b0dc7fc161ffab929635d810a2d73def6
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaEqualsTask.cs
@@ -0,0 +1,63 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung
+{
+    class CheckLemmaEqualsTask : ElementChecker
+    {
+        private readonly SingleTask ownTask;
+        public CheckLemmaEqualsTask(SingleTask ownTask) { this.ownTask = ownTask; }
+        public override bool check(Element e)
+        {
+            if (e is Lemma l)
+            {
+                if (l.name == ownTask.name)
+                {
+                    bool FindVariableRenamings(List<Substitution> variableRenaming1, List<Substitution> variableRenaming2, bool swapped)
+                    {
+                        // 1. find a substitution
+                        try
+                        {
+                            if (!swapped)
+                            {
+                                variableRenaming1.AddRange(CheckHelper.findSubstitution(l.eq.leftTree, ownTask.eq.leftTree ));
+                                variableRenaming2.AddRange(CheckHelper.findSubstitution(l.eq.rightTree, ownTask.eq.rightTree));
+                            }
+                            else
+                            {
+                                variableRenaming1.AddRange(CheckHelper.findSubstitution(l.eq.leftTree, ownTask.eq.rightTree));
+                                variableRenaming2.AddRange(CheckHelper.findSubstitution(l.eq.rightTree, ownTask.eq.leftTree));
+                            }
+                        }
+                        catch (ArgumentNullException) { return false; }
+                        // 2. check all substitutions are variable renamings with: isFixed(sub.variable) <-> isFixed(sub.tree.variable)
+                        bool IsRenaming(List<Substitution> subs)
+                        {
+                            foreach (Substitution sub in subs)
+                                if (sub.tree as TreeVariable == null
+                                    ||  l.IsFixed(sub.variable) && !ownTask.IsFixed(((TreeVariable)sub.tree).variable)
+                                    || !l.IsFixed(sub.variable) &&  ownTask.IsFixed(((TreeVariable)sub.tree).variable)
+                                    ) return false;
+                            return true;
+                        }
+                        return IsRenaming(variableRenaming1) && IsRenaming(variableRenaming2);
+                    }
+                    List<Substitution> variableRenaming1 = new List<Substitution>();
+                    List<Substitution> variableRenaming2 = new List<Substitution>();
+                    if (!FindVariableRenamings(variableRenaming1, variableRenaming2, false))
+                    {
+                        variableRenaming1.Clear(); variableRenaming2.Clear();
+                        if (!FindVariableRenamings(variableRenaming1, variableRenaming2, true))
+                            { l.errors.Add(new Error(22)); return false; }
+                    }
+                    if (CheckHelper.unionSubstitutions(variableRenaming1, variableRenaming2) == null)
+                        { l.errors.Add(new Error(22)); return false; }
+                    return true;
+                }
+                else return true;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckLemmaIsAcyclic.cs b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaIsAcyclic.cs
new file mode 100644
index 0000000000000000000000000000000000000000..d79f9224edc77db56a3b62244125529d5e9fb53b
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaIsAcyclic.cs
@@ -0,0 +1,26 @@
+using System;
+using Eingabeverwaltung.Metamodell;
+
+namespace Ueberpruefung
+{
+    public class CheckLemmaIsAcyclic : ElementChecker
+    {
+        public CheckLemmaIsAcyclic() { }
+        public override bool check(Element e)
+        {
+            if (e is Lemma l)
+            {
+                bool result = l.cyclicDependencies.Count == 0;
+                if (!result)
+                {
+                    string output = "{ ";
+                    foreach (Lemma dep in l.cyclicDependencies) output += dep.name + " ";
+                    output += "}";
+                    l.errors.Add(new Error(20,output));
+                }
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckLemmaTaskIsUsed.cs b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaTaskIsUsed.cs
new file mode 100644
index 0000000000000000000000000000000000000000..bc6c9454a29c114b115352dbdf779cef6a43e88b
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckLemmaTaskIsUsed.cs
@@ -0,0 +1,59 @@
+using System;
+using System.Collections.Generic;
+using Eingabeverwaltung.Metamodell;
+
+namespace Ueberpruefung
+{
+    /// <summary>
+    /// @pre: Needs to be called after Ueberpruefer.analyseUsefulness
+    /// </summary>
+    class CheckLemmaTaskIsUsed : ElementChecker
+    {
+        /// <summary>
+        /// @pre: Needs to be called after Ueberpruefer.analyseUsefulness
+        /// </summary>
+        public CheckLemmaTaskIsUsed() { }
+        public override bool check(Element e)
+        {
+            if (e is Container con)
+            {
+                List<Lemma> mainLemmata = new List<Lemma>();
+                // 1. collect all Lemmata, that are main proof for a task
+                foreach (Lemma lemma in con.Proof.lemmata)
+                    if (lemma.OwnTask != null) mainLemmata.Add(lemma);
+                // 2. remove all those Lemmata from collected list that are reachable from main proof
+                void RemoveAllUsefulLemmata(List<Lemma> visited, SingleProof proof)
+                {
+                    void RemoveAllUsefulLemmataTR(List<Lemma> visited, List<Lemma> newLemmata, Transformation tr)
+                    {
+                        foreach (TransformationStep ts in tr.transformationSteps)
+                        {
+                            if (ts.rule is Lemma lemma && !visited.Contains(lemma))
+                            {
+                                visited.Add(lemma);
+                                newLemmata.Add(lemma);
+                                mainLemmata.Remove(lemma);
+                            }
+                        }
+                    }
+                    List<Lemma> newLemmata = new List<Lemma>();
+                    if (proof is Transformation tr)
+                        RemoveAllUsefulLemmataTR(visited, newLemmata, tr);
+                    else if (proof is Induction ind)
+                        foreach (InductionCase indC in ind.indCases)
+                            RemoveAllUsefulLemmataTR(visited, newLemmata, indC.proof);
+                    else throw new Exception("Found a proof that is neither Transformation nor Induction!");
+                    foreach (Lemma newLemma in newLemmata)
+                        RemoveAllUsefulLemmata(visited, newLemma.proof);
+                }
+                RemoveAllUsefulLemmata(new List<Lemma>(), con.Proof.proof);
+                bool result = mainLemmata.Count == 0;
+                if (!result)
+                    foreach (Lemma lemma in mainLemmata)
+                        lemma.errors.Add(new Error(23));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleEndTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleEndTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..da4284f2ed4d5b7d1aa7af1ec32d1961081ad149
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleEndTree.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckResultTree_for_RuleEndTree : ElementChecker
+    {
+        public CheckResultTree_for_RuleEndTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts) 
+            {
+                bool result = ts.resultTree.Equals(CheckHelper.transform(ts.startTree, ts.termPart, CheckHelper.substitute(ts.ruleStartTree(), ts.substitutions)));
+                if (!result) ts.errors.Add(new Error(12));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleStartTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleStartTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..ab9480e387d60538545b86fe74a7dc3672890f11
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckResultTree_for_RuleStartTree.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckResultTree_for_RuleStartTree : ElementChecker
+    {
+        public CheckResultTree_for_RuleStartTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                bool result = ts.resultTree.Equals(CheckHelper.transform(ts.startTree,ts.termPart,CheckHelper.substitute(ts.ruleEndTree(),ts.substitutions)));
+                if (!result) ts.errors.Add(new Error(11));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_DefinedIn_ADT.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_DefinedIn_ADT.cs
new file mode 100644
index 0000000000000000000000000000000000000000..1270c0beb11da1df552abe8987483af2dc963440
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_DefinedIn_ADT.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+	public class CheckSubstitutionVariable_DefinedIn_ADT : ElementChecker
+	{
+		public CheckSubstitutionVariable_DefinedIn_ADT() { }
+
+        public override bool check(Element e)
+        {
+            if (e is Substitution sub)
+            {
+                bool result = sub.variable != null;
+                if (!result) sub.errors.Add(new Error(3));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_isUsedInRule.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_isUsedInRule.cs
new file mode 100644
index 0000000000000000000000000000000000000000..b911a0cc49d41a0222c147db33d218f6fb588dd1
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitutionVariable_isUsedInRule.cs
@@ -0,0 +1,31 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckSubstitutionVariable_isUsedInRule : ElementChecker
+    {
+        public CheckSubstitutionVariable_isUsedInRule() { } 
+
+        /// <summary>
+        /// Requires: all variables in substitutions are not null, otherwise NullReferenceException will be thrown.
+        /// </summary>
+        /// <param name="ts"></param>
+        /// <returns></returns>
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                bool result = true, res;
+                foreach (Substitution sub in ts.substitutions)
+                {
+                    res = ts.rule.eq.leftTree.findSubTree(new TreeVariable(sub.variable)).Count > 0
+                         || ts.rule.eq.rightTree.findSubTree(new TreeVariable(sub.variable)).Count > 0;
+                    if (!res) sub.errors.Add(new Error(13));
+                }
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_NoSortChange.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_NoSortChange.cs
new file mode 100644
index 0000000000000000000000000000000000000000..6eb8a5e865987e4005726d656ef81b465c555af7
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_NoSortChange.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+	public class CheckSubstitution_NoSortChange : ElementChecker
+	{
+		public CheckSubstitution_NoSortChange() { }
+
+        public override bool check(Element e)
+        {
+            if (e is Substitution sub)
+            {
+                bool result = sub.variable.sort == sub.tree.sort;
+                if (!result) sub.errors.Add(new Error(4));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleEndTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleEndTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..81688818d0da54e4fe63bab57a23caa91e17e6bd
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleEndTree.cs
@@ -0,0 +1,28 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckSubstitution_for_RuleEndTree : ElementChecker
+    {
+        public CheckSubstitution_for_RuleEndTree() { }
+
+        public override bool check(Element el)
+        {
+            if (el is TransformationStep ts)
+            {
+                bool e = new CheckTermPart_match_RuleEndTree().check(ts),
+                r = ts.termPart.Equals(CheckHelper.substitute(ts.ruleEndTree(), ts.substitutions));
+                if (e && !r && !(new CheckTermPart_match_RuleStartTree().check(ts)))
+                {
+                    Error err = new Error(10);
+                    err.Output = Util.ListSubstitutionToString(CheckHelper.findSubstitution(ts.ruleEndTree(),ts.termPart));
+                    ts.errors.Add(err);
+                }
+                return !e || r;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleStartTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleStartTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..c8bb4e1aeb991024d7f0cb23ff7ce2e1dabb6d6e
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckSubstitution_for_RuleStartTree.cs
@@ -0,0 +1,28 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckSubstitution_for_RuleStartTree : ElementChecker
+    {
+        public CheckSubstitution_for_RuleStartTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            { 
+                bool s = new CheckTermPart_match_RuleStartTree().check(ts),
+                r = ts.termPart.Equals(CheckHelper.substitute(ts.ruleStartTree(), ts.substitutions));
+                if (s && !r)
+                {
+                    Error err = new Error(9);
+                    err.Output = Util.ListSubstitutionToString(CheckHelper.findSubstitution(ts.ruleStartTree(), ts.termPart));
+                    ts.errors.Add(err);
+                }
+                return !s || r;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTask_Satisfied.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTask_Satisfied.cs
new file mode 100644
index 0000000000000000000000000000000000000000..dd668e6ef577276f2f37e1f56112f3e8d55abf97
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTask_Satisfied.cs
@@ -0,0 +1,52 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckTask_Satisfied : ElementChecker
+    {
+        public CheckTask_Satisfied() { }
+
+        public override bool check(Element e)
+        {
+            if (e is Container con)
+                if (con.Proof.proof is Transformation tr)
+                    return check(con.Task.task.eq, tr);
+                else if (con.Proof.proof is Induction) return true; // is true by creation of Induction
+                else throw new Exception("Found a Singleproof that is either Transformation nor Induction");
+            else if (e is Lemma l)
+                if (l.proof is Transformation tr)
+                    return check(l.eq, tr);
+                else if (l.proof is Induction) return true; // is true by creation of Induction
+                else throw new Exception("Found a Singleproof that is either Transformation nor Induction");
+            else if (e is InductionCase ic) return check(ic.eq, ic.proof);
+            else throw new InvalidOperationException();
+        }
+
+        private bool check(Equation task, Transformation tr)
+        {
+            List<Error> errors = check(task, new Equation(tr.startTree, tr.transformationSteps.Last().resultTree, null));
+            if (errors == null) return true;
+            tr.errors.AddRange(errors);
+            return false;
+        }
+
+        private List<Error> check(Equation task ,Equation proofResult)
+        {
+            List<Error> result = new List<Error>();
+            bool startL = proofResult.leftTree.Equals(task.leftTree);
+            bool startR = proofResult.leftTree.Equals(task.rightTree);
+            bool endL = proofResult.rightTree.Equals(task.leftTree);
+            bool endR = proofResult.rightTree.Equals(task.rightTree);
+            if (startL && endR || startR && endL) result = null;
+            else
+            {
+                if (!startL && !startR) result.Add(new Error(1));
+                if (!endL && !endR || startL && !endR || startR && !endL) result.Add(new Error(2));
+            }
+            return result;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_isSubTreeFrom_StartTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_isSubTreeFrom_StartTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..8c2bb831cbe6f9f7c50a77bedaea3f39baba1035
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_isSubTreeFrom_StartTree.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+	public class CheckTermPart_isSubTreeFrom_StartTree : ElementChecker
+	{
+		public CheckTermPart_isSubTreeFrom_StartTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                bool result = ts.startTree.findSubTree(ts.termPart).Count > 0;
+                if (!result) ts.errors.Add(new Error(6));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleEndTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleEndTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..9cc8b0ac618034368a35c932e645703f07f4d186
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleEndTree.cs
@@ -0,0 +1,17 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckTermPart_match_RuleEndTree : ElementChecker
+    {
+        public CheckTermPart_match_RuleEndTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+                return CheckHelper.findSubstitution(ts.ruleEndTree(), ts.termPart) != null;
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleStartTree.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleStartTree.cs
new file mode 100644
index 0000000000000000000000000000000000000000..d31efa8d70b09061072ecd9c3533dfd8a30123b4
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTermPart_match_RuleStartTree.cs
@@ -0,0 +1,17 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckTermPart_match_RuleStartTree : ElementChecker
+    {
+        public CheckTermPart_match_RuleStartTree() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+                return CheckHelper.findSubstitution(ts.ruleStartTree(), ts.termPart) != null;
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTransformationStep_NoSortChange.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTransformationStep_NoSortChange.cs
new file mode 100644
index 0000000000000000000000000000000000000000..3980c59c180b1e66931f2e5775e47185b9c4a205
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckTransformationStep_NoSortChange.cs
@@ -0,0 +1,21 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+	public class CheckTransformationStep_NoSortChange : ElementChecker
+	{
+		public CheckTransformationStep_NoSortChange() { }
+
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                bool result = ts.startTree.sort == ts.resultTree.sort;
+                if (!result) ts.errors.Add(new Error(5));
+                return result;
+            }
+            else throw new InvalidOperationException();
+        }
+    }
+}
\ No newline at end of file
diff --git a/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckUsedLemmaIsProved.cs b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckUsedLemmaIsProved.cs
new file mode 100644
index 0000000000000000000000000000000000000000..9b01ccbe84a40c5cc38501801de38475355eb234
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/CheckTransformation/CheckUsedLemmaIsProved.cs
@@ -0,0 +1,47 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+
+namespace Ueberpruefung.CheckTransformation
+{
+    public class CheckUsedLemmaIsProved : ElementChecker
+    {
+        Lemma user;
+        public CheckUsedLemmaIsProved(Lemma user) { this.user = user; }
+        public override bool check(Element e)
+        {
+            if (e is TransformationStep ts)
+            {
+                if (ts.rule is Lemma l)
+                {
+                    bool result; string output = "";
+                    if (l.IsProved is bool p) result = p; 
+                    else throw new Exception("Tried to check if lemma " + l.name + " is proved while isProved is not set.");
+                    if (result)
+                    {
+                        // This error must occure also when a main proof of a task has cyclic dependencies,
+                        // but only if this usage is in that cycle
+                        bool result2 = l.cyclicDependencies.Count == 0 || !l.cyclicDependencies.Contains(user);
+                        if (!result2)
+                        {
+                            output = "{ ";
+                            foreach (Lemma dep in user.cyclicDependencies) output += dep.name + " ";
+                            output += "}";
+                        }
+                        result &= result2;
+                    }
+                    if (!result) ts.errors.Add(new Error(21,output));
+                    return result;
+                }
+                else if (ts.rule is InductionHypothesis ih)
+                {
+                    bool result; 
+                    if (ih.IsProved is bool p) result = p; 
+                    else throw new Exception("Tried to check if inductionhypothesis is proved while isProved is not set.");
+                    return result;
+                }
+                else return true;
+
+            }else throw new InvalidOperationException();
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/Element.cs b/BaumtransformationBewerter/Ueberpruefung/Element.cs
new file mode 100644
index 0000000000000000000000000000000000000000..25f92e9d833ad0aceedb8406e8494def2b7743f5
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/Element.cs
@@ -0,0 +1,7 @@
+namespace Ueberpruefung
+{
+	public abstract class Element
+	{
+		public bool accept(ElementChecker e) => e.check(this);
+	}
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/ElementChecker.cs b/BaumtransformationBewerter/Ueberpruefung/ElementChecker.cs
new file mode 100644
index 0000000000000000000000000000000000000000..d7d47dca67b11c867471eb8d9dc19416e31d9fe8
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/ElementChecker.cs
@@ -0,0 +1,16 @@
+using Eingabeverwaltung.Metamodell;
+
+namespace Ueberpruefung
+{
+	public abstract class ElementChecker
+	{
+		/// <summary>
+		/// Checks element e. Returns true if constraint is satisfied, false if not satisfied and 
+		/// throws InvalidOperationException if the context (Type of e) is wrong for the constraint.
+		/// PreCondition: All necessary pre-checkings must be complete. 
+		/// </summary>
+		/// <param name="e"></param>
+		/// <returns></returns>
+		public abstract bool check(Element e);
+	}
+}
diff --git a/BaumtransformationBewerter/Ueberpruefung/Ueberpruefer.cs b/BaumtransformationBewerter/Ueberpruefung/Ueberpruefer.cs
new file mode 100644
index 0000000000000000000000000000000000000000..7ffd2093e028d1227d1b6e5fd70e9639dc61d9f2
--- /dev/null
+++ b/BaumtransformationBewerter/Ueberpruefung/Ueberpruefer.cs
@@ -0,0 +1,391 @@
+using Eingabeverwaltung.Metamodell;
+using System;
+using System.Collections.Generic;
+using Ueberpruefung.CheckTransformation;
+using Ueberpruefung.CheckInduction;
+
+namespace Ueberpruefung
+{
+    public static class Ueberpruefer
+    {
+        public static void ueberpruefe(Container con)
+        {
+            // pre checkings and ordering of lemmata, their dependencies, usefulness and pre required (in)validness for cycles
+            analyseCyclicDependencies(con.Proof.lemmata);
+            List<SingleTask> allTasks = new List<SingleTask>() { con.Task.task };
+            allTasks.AddRange(con.Task.lemmaTasks);
+            analyseUsefulness(allTasks,con.Proof);
+            // main checkings of errors
+            foreach (Lemma lemma in con.Proof.lemmata)
+            {
+                if (lemma.OwnTask != null) lemma.IsProved = true;
+                else if (!lemma.accept(new CheckLemmaIsAcyclic()))                      // 20
+                        lemma.IsProved = false;
+            }
+            con.accept(new CheckLemmaTaskIsUsed());                                     // 23
+            // now check all proofs in their topological order
+            // (lemmata are ordered by analyseCyclicDependencies, main proof is last in this order)
+            foreach (Lemma lemma in con.Proof.lemmata)
+            {
+                bool isProved = true;
+                isProved &= lemma.accept(new CheckTask_Satisfied());                    // 1, 2
+                isProved &= lemma.accept(new CheckIndTask_Satisfied());                 // 38, 39
+                isProved &= ueberpruefe(lemma.proof, lemma);
+                if (lemma.IsProved == null) lemma.IsProved = isProved;
+            }
+            con.accept(new CheckTask_Satisfied());                                      // 1, 2
+            con.accept(new CheckIndTask_Satisfied());                                   // 38, 39
+            ueberpruefe(con.Proof.proof,null);
+            // post checkings for assessment: usefulness of lemmata to induction cases of their tasks with induction config
+            analyseUsefulnessToIndCases(allTasks,con.Proof);
+        }
+
+        private static bool ueberpruefe(SingleProof sp, Lemma Owner)
+        {
+            if (sp is Transformation tr) return ueberpruefe(tr, Owner);
+            else if (sp is Induction ind) return ueberpruefe(ind, Owner);
+            else throw new NotImplementedException("Ueberpruefer can only check transformation or induction as single proof");
+        }
+
+        private static bool ueberpruefe(Induction ind, Lemma Owner)
+        {
+            bool isProved = true;
+            isProved &= ind.accept(new CheckIndVarNotFixed());                          // 30
+            if (ind.accept(new CheckIndVarHasConstructors()))                           // 31
+            {
+                foreach (InductionCase ic in ind.indCases)
+                {
+                    isProved &= ic.accept(new CheckTask_Satisfied());                   // 1, 2
+                    isProved &= ic.accept(new CheckIndPartEquation(ind));               // 34 (ic)
+                    isProved &= ic.accept(new CheckIndPartEquationIsFixed(ind));        // 35 (ic)
+                    isProved &= ic.accept(new CheckIndHypNotUsedInIA());                // 36
+                    // this errors don't making lemmata unproved
+                    ic.accept(new CheckIndPartEquationIsNotFixed(ind));                 // 40 (ic)
+                    ic.accept(new CheckIndCaseType());                                  // 41
+                }
+                isProved &= ind.accept(new CheckIndCasesAllExisting());                 // 32
+                isProved &= ind.accept(new CheckIndCaseTypeIsValid());                  // 33
+                // check ihs (must be done after check ic: requires ic.buildingParameterVariable)                
+                foreach (InductionHypothesis ih in ind.indHyps)
+                {
+                    bool IHisProved = true;
+                    IHisProved &= ih.accept(new CheckIndPartEquation(ind));             // 34 (ih)
+                    IHisProved &= ih.accept(new CheckIndPartEquationIsFixed(ind));      // 35 (ih)
+                    ih.accept(new CheckIndPartEquationIsNotFixed(ind));                 // 40 (ih) (don't makes lemma or ih unproved)
+                    // must be set before checkings of transformation (for error 37)
+                    ih.IsProved = IHisProved;
+                    isProved &= IHisProved;
+                }
+                ind.accept(new CheckIndHypsUnique());                                   // 42
+                ind.accept(new CheckIndHypCanBeUseful());                               // 43
+                // check transformations
+                foreach (InductionCase ic in ind.indCases)
+                    isProved &= ueberpruefe(ic.proof, Owner);
+            }
+            else isProved = false;
+            return isProved;
+        }
+
+        private static bool ueberpruefe(Transformation tr, Lemma Owner) {
+            bool isProved = true;
+            foreach (TransformationStep ts in tr.transformationSteps)
+            {
+                bool formalError = false;
+                foreach (Substitution sub in ts.substitutions)
+                {
+                    if (sub.accept(new CheckSubstitutionVariable_DefinedIn_ADT()))      // 3
+                    {
+                        if (!sub.accept(new CheckSubstitution_NoSortChange()))          // 4
+                            formalError = true;
+                    }
+                    else formalError = true;
+                }
+                if (!ts.accept(new CheckTransformationStep_NoSortChange()))             // 5
+                    formalError = true;
+                isProved &= !formalError;
+                if (!formalError)
+                {
+                    bool termPart_isSubTreeFrom_starTree =
+                         ts.accept(new CheckTermPart_isSubTreeFrom_StartTree());        // 6
+                    bool termPart_match_RuleStartTree =
+                         ts.accept(new CheckTermPart_match_RuleStartTree());            // 7
+                    bool termPart_match_RuleEndTree =
+                         ts.accept(new CheckTermPart_match_RuleEndTree());              // 8
+                    isProved &= termPart_isSubTreeFrom_starTree;
+                    if (termPart_match_RuleStartTree && termPart_match_RuleEndTree 
+                        && !ts.ruleStartTree().Equals(ts.ruleEndTree())) // when both sides are equal, direction can't be wrong
+                    {
+                        // assume wrong direction 
+                        // 10 here don't marks the error,
+                        // because termpart match also ruleStartTree
+                        if (ts.accept(new CheckSubstitution_for_RuleEndTree()))                    // 10
+                        {
+                            // direction is wrong
+                            ts.errors.Add(new Error(8));
+                            if (termPart_isSubTreeFrom_starTree)
+                                isProved &= ts.accept(new CheckResultTree_for_RuleEndTree());      // 12
+                        }
+                        else
+                        {   // direction is correct
+                            if (ts.accept(new CheckSubstitution_for_RuleStartTree())               // 9 
+                                && termPart_isSubTreeFrom_starTree)
+                                isProved &= ts.accept(new CheckResultTree_for_RuleStartTree());    // 11
+                            else isProved = false;
+                        }
+                    }
+                    else
+                    {
+                        if (termPart_match_RuleStartTree)
+                        {
+                            if (ts.accept(new CheckSubstitution_for_RuleStartTree())               // 9
+                                && termPart_isSubTreeFrom_starTree)
+                                isProved &= ts.accept(new CheckResultTree_for_RuleStartTree());    // 11
+                            else isProved = false;
+                        }
+                        else
+                        {
+                            if (termPart_match_RuleEndTree)
+                            {
+                                ts.errors.Add(new Error(8));
+                                if (ts.accept(new CheckSubstitution_for_RuleEndTree())             // 10
+                                    && termPart_isSubTreeFrom_starTree)
+                                    isProved &= ts.accept(new CheckResultTree_for_RuleEndTree());  // 12
+                                else isProved = false;
+                            }
+                            else { ts.errors.Add(new Error(7)); isProved = false; }
+                        }
+                    }
+                    ts.accept(new CheckSubstitutionVariable_isUsedInRule());                       // 13
+                    isProved &= ts.accept(new CheckUsedLemmaIsProved(Owner));                      // 21
+                    isProved &= ts.accept(new CheckFixedVarsNotSubstituted());                     // 37
+                }
+            }
+            return isProved;
+        }    
+        
+        /// <summary>
+        /// This Method is helping the Ueberpruefer checking cycles in lemmata
+        /// by analysing their dependencies.
+        /// @pre:  All cyclicDependencies of lemmata are empty.
+        /// @post: The whole cycle of the lemma ist saved in its cyclicDependencies.
+        /// </summary>
+        /// <param name="lemmata"></param>
+        private static void analyseCyclicDependencies(List<Lemma> lemmata)
+        {
+            // 1. get all direct dependencies
+            void writeDirectCyclicDependencies(Lemma lemma, Transformation tr) 
+            {
+                foreach (TransformationStep ts in tr.transformationSteps)
+                {
+                    if (ts.rule is Lemma usedLemma)
+                    {
+                        bool found = false;
+                        foreach (Lemma current in lemmata)
+                            if (current == usedLemma)
+                            {
+                                if (!lemma.cyclicDependencies.Contains(usedLemma)) lemma.cyclicDependencies.Add(usedLemma);
+                                found = true; break;
+                            }
+                        if (!found) throw new Exception("Error in Ueberpruefung: Could not find Lemma " + usedLemma.name + " in Lemmata!");
+                    }
+                }
+            }
+            foreach(Lemma lemma in lemmata)
+            {
+                if (lemma.proof is Transformation tr)
+                    writeDirectCyclicDependencies(lemma, tr);
+                else if (lemma.proof is Induction ind)
+                    foreach (InductionCase indC in ind.indCases)
+                        writeDirectCyclicDependencies(lemma, indC.proof);
+                else throw new Exception("Found a proof in Lemma that is neither Transformation nor Induction!");
+            }
+            //Console.WriteLine("After 1."); print(lemmata,true);
+            // 2. remove Lemmata not depending from cyclic Lemmata by topological sort
+            List<Lemma> nonCyclic = new List<Lemma>();
+            List<Lemma> remaining = new List<Lemma>(lemmata);
+            List<Lemma> moved;
+            do
+            {
+                moved = new List<Lemma>(); int i = -1;
+                while (i < remaining.Count - 1) // move independent lemmata to nonCyclic
+                {
+                    i++;
+                    if (remaining[i].cyclicDependencies.Count == 0)
+                    {
+                        nonCyclic.Add(remaining[i]);
+                        moved.Add(remaining[i]);
+                        remaining.RemoveAt(i); i--;
+                    }
+                }
+                foreach (Lemma movedLemma in moved) // remove Dependencies from moved
+                    foreach (Lemma remLemma in remaining) remLemma.cyclicDependencies.Remove(movedLemma);
+            } while (moved.Count != 0);
+            //Console.WriteLine("After 2."); print(lemmata,true);
+            // 3. distinguish cyclic Lemmata and Lemmata depending from cyclic Lemmata:
+            //    Only real cycle elements must be marked with that error
+            List<Lemma> useCyclic = new List<Lemma>();
+            Dictionary<Lemma, List<Lemma>> transitiveHullSaving = new Dictionary<Lemma, List<Lemma>>();
+            List<Lemma> getTransitiveHull(Lemma current, List<Lemma> hull)
+            {
+                foreach(Lemma dep in current.cyclicDependencies)
+                    if (!hull.Contains(dep))
+                    {
+                        hull.Add(dep);
+                        if (transitiveHullSaving.ContainsKey(dep))
+                        {
+                            foreach (Lemma saved in transitiveHullSaving[dep])
+                                if (!hull.Contains(saved)) hull.Add(saved);
+                        }else getTransitiveHull(dep, hull);
+                    }                        
+                return hull;
+            }
+            for (int i = 0; i< remaining.Count; i++)
+            {
+                Lemma current = remaining[i];
+                List<Lemma> transitiveHull = getTransitiveHull(current, new List<Lemma>());
+                transitiveHullSaving.Add(current, transitiveHull);
+                if (transitiveHull.Contains(current))
+                {// found element of cycle
+                    current.cyclicDependencies.Clear();
+                    current.cyclicDependencies.AddRange(transitiveHull);
+                    //current.cyclicDependencies.Remove(current);
+                }
+                else
+                {// not an element of cycle
+                    current.cyclicDependencies.Clear();
+                    useCyclic.Add(current);
+                    remaining.RemoveAt(i); i--;
+                    foreach (Lemma remLemma in remaining) remLemma.cyclicDependencies.Remove(current);
+                }
+            }
+            //Console.WriteLine("After 3."); print(lemmata,true);
+            // 4. move the topological order to list "lemmata"
+            lemmata.Clear();
+            lemmata.AddRange(nonCyclic);
+            lemmata.AddRange(remaining); // = cycle(s)
+            lemmata.AddRange(useCyclic);
+            // result is already contained in the list "lemmata"
+        }
+
+        /// <summary>
+        /// This Method finds all Lemmata that are main proof for a task
+        /// and let every Lemma know for which task it is useful.
+        /// Also Checks Error 22.
+        /// @pre: tasks[0].name = "main task"
+        /// </summary>
+        /// <param name="tasks"></param>
+        /// <param name="proof"></param>
+        private static void analyseUsefulness(List<SingleTask> tasks, Proof proof)
+        {
+            // 1. find all Lemmata that are main proof for a task
+            List<Lemma> mainLemmata = new List<Lemma>();
+            for (int i = 1; i < tasks.Count; i++)
+            {
+                SingleTask task = tasks[i];
+                foreach (Lemma lemma in proof.lemmata)
+                {
+                    if (lemma.name == task.name && lemma.accept(new CheckLemmaEqualsTask(task)))   // 22
+                    {
+                        lemma.OwnTask = task;
+                        lemma.usefulFor.Add(new TaskAssignment(task));
+                        mainLemmata.Add(lemma);
+                    }
+                }
+            }
+            // 2. analyse usefulness of other lemmata            
+            List<Lemma> usefulLemmata = GetAllUsefulLemmata(new List<Lemma>(), proof.proof);
+            foreach (Lemma usefulLemma in usefulLemmata)
+                usefulLemma.usefulFor.Add(new TaskAssignment(tasks[0]));
+            foreach (Lemma mainLemma in mainLemmata)
+            {
+                usefulLemmata = GetAllUsefulLemmata(new List<Lemma>(), mainLemma.proof);
+                foreach (Lemma usefulLemma in usefulLemmata)
+                    usefulLemma.usefulFor.Add(new TaskAssignment(mainLemma.OwnTask));
+            }
+        }
+
+        /// <summary>
+        /// Analyses usefulness of lemmata to the induction cases of their tasks with induction config. <br></br>
+        /// @pre: All induction cases must have analysed their constructor. <br></br>
+        /// Does nothing if an induction case don't knows its constructor.
+        /// </summary>
+        /// <param name="tasks"></param>
+        /// <param name="proof"></param>
+        private static void analyseUsefulnessToIndCases(List<SingleTask> tasks, Proof proof)
+        {
+            // 1. get all lemmata inclusive a lemma for main proof
+            Lemma mainProofLemma = new Lemma("main proof", tasks[0].eq, tasks[0].fixedVars, proof.proof);
+            mainProofLemma.OwnTask = tasks[0];
+            mainProofLemma.usefulFor.Add(new TaskAssignment(tasks[0]));
+            List<Lemma> allLemmata = new List<Lemma>() { mainProofLemma };
+            allLemmata.AddRange(proof.lemmata);
+            List<Lemma> mainIndLemmata = new List<Lemma>();
+            // 2. get all main lemma of tasks with induction config
+            foreach (Lemma lemma in allLemmata)
+                if (lemma.OwnTask != null && lemma.OwnTask.config is InductionConfig) mainIndLemmata.Add(lemma);
+            // 3. specialize the usefulness to induction cases of the mainIndLemmata
+            foreach(Lemma mainIndLemma in mainIndLemmata)
+            {
+                if (mainIndLemma.proof is Induction ind)
+                {
+                    foreach(InductionCase ic in ind.indCases)
+                    {
+                        if (ic.Constructor == null) continue;
+                        foreach (Lemma usefulLemma in GetAllUsefulLemmata(new List<Lemma>(), ic.proof))
+                        {
+                            TaskAssignment ta = null;
+                            foreach(TaskAssignment currentTa in usefulLemma.usefulFor)
+                                if (currentTa.task == mainIndLemma.OwnTask) { ta = currentTa; break; }
+                            if (ta == null) throw new Exception("Could not find Task Assignment to task "+mainIndLemma.OwnTask.name+" for Lemma "+usefulLemma.name+" in its Task Assignments!");
+                            ta.AddIndCase(ic.Constructor);
+                        }
+                    }
+                }
+            }
+        }
+
+        /// <summary>
+        /// Finds all transitive useful lemmata to the given proof. <br></br>
+        /// Start with input result = new List. <br></br>
+        /// Adds all useful Lemmata to input list result and returns the same list.
+        /// </summary>
+        /// <param name="result"></param>
+        /// <param name="proof"></param>
+        /// <returns></returns>
+        private static List<Lemma> GetAllUsefulLemmata(List<Lemma> result, SingleProof proof)
+        {
+            List<Lemma> GetAllUsefulLemmataTR(List<Lemma> result, List<Lemma> newLemmata, Transformation tr)
+            {
+                foreach (TransformationStep ts in tr.transformationSteps)
+                {
+
+                    if (ts.rule is Lemma lemma && !result.Contains(lemma) && lemma.OwnTask == null)
+                    {
+                        // lemma with error 22 should not be added, because it would be a main proof for a task
+                        bool lemmaNotMainProof = true;
+                        foreach (Error err in lemma.errors)
+                            if (err.errorCode == 22) lemmaNotMainProof = false;
+                        if (lemmaNotMainProof)
+                        {
+                            result.Add(lemma);
+                            newLemmata.Add(lemma);
+                        }
+                    }
+                }
+                return result;
+            }
+            List<Lemma> newLemmata = new List<Lemma>();
+            if (proof is Transformation tr)
+                GetAllUsefulLemmataTR(result, newLemmata, tr);
+            else if (proof is Induction ind)
+            {
+                foreach (InductionCase indC in ind.indCases)
+                    GetAllUsefulLemmataTR(result, newLemmata, indC.proof);
+            }
+            else throw new NotImplementedException("Found a single proof that is neither Transformation nor Induction!");
+            foreach (Lemma newLemma in newLemmata)
+                GetAllUsefulLemmata(result, newLemma.proof);
+            return result;
+        }
+    }
+}
diff --git a/BaumtransformationBewerter/Util.cs b/BaumtransformationBewerter/Util.cs
new file mode 100644
index 0000000000000000000000000000000000000000..63eafe3264309dd77c50e72bfba38430a4a963ec
--- /dev/null
+++ b/BaumtransformationBewerter/Util.cs
@@ -0,0 +1,22 @@
+using Eingabeverwaltung.Metamodell;
+using System.Collections.Generic;
+
+public static class Util
+{
+    public static string ListSubstitutionToString(List<Substitution> subs)
+    {
+        string result = "[ ";
+        foreach (Substitution sub in subs)
+            result += sub.tree.ToString() + " / " + sub.variable.name + " ";
+        result += "]";
+        return result;
+    }
+    public static string ErrorListToString(List<Error> errors)
+    {
+        string result = "Errors: { ";
+        foreach (Error err in errors)
+            result += err.errorCode + "(" + err.Output + ") ";
+        result += "}";
+        return result;
+    }
+}
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Standardkonfiguration.config b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Standardkonfiguration.config
new file mode 100644
index 0000000000000000000000000000000000000000..b0e71e37962c72fa747f1ce535d830a25f2ff70d
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Standardkonfiguration.config
@@ -0,0 +1,8 @@
+Round 5
+1 1.0
+2 0.25
+3 0.5
+4 0.25
+5 0.5
+6 0.25
+7 0.25
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp.adt b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp.adt
new file mode 100644
index 0000000000000000000000000000000000000000..038c96c8b6de658b86652581e1698a8f1dfc7bfa
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp.adt
@@ -0,0 +1,11 @@
+name Peano
+sorts Nat
+constructors null: Nat
+             inc: Nat -> Nat 
+operations plus: Nat >< Nat -> Nat
+           mal:  Nat >< Nat -> Nat
+vars n : Nat, m : Nat
+axioms p0: plus(n,null) = n
+       p1: plus(n,inc(m)) = inc(plus(n,m))
+       m0: mal(n,null) = null
+       m1: mal(n,inc(m)) = plus(mal(n,m),n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp2.adt b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp2.adt
new file mode 100644
index 0000000000000000000000000000000000000000..f857a2248e4bf80aa411206e5975889dcae2c7ae
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/ADT_Bsp2.adt
@@ -0,0 +1,19 @@
+name Peano_List
+sorts Nat, List, T
+constructors null:               Nat
+             inc: Nat         -> Nat 
+             nil:                List
+             seq: T   >< List -> List
+operations plus:    Nat  >< Nat  -> Nat
+           mal:     Nat  >< Nat  -> Nat
+           conc:    List >< List -> List
+           reverse: List         -> List
+vars n : Nat, m : Nat, x : T, xs : List, ys : List
+axioms p0: plus(n,null)   = n
+       p1: plus(n,inc(m)) = inc(plus(n,m))
+       m0: mal(n,null)   = null
+       m1: mal(n,inc(m)) = plus(mal(n,m),n)
+       c0: conc(nil,ys)       = ys
+       c1: conc(seq(x,xs),ys) = seq(x,conc(xs,ys))
+       r0: reverse(nil)       = nil
+       r1: reverse(seq(x,xs)) = conc(reverse(xs),seq(x,nil))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_correct.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_correct.proof
new file mode 100644
index 0000000000000000000000000000000000000000..64a6995aee628216ac96123e2be02a42fef89b32
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_correct.proof
@@ -0,0 +1,46 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_1,2.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_1,2.proof
new file mode 100644
index 0000000000000000000000000000000000000000..cd795084cfb3d6df8760e0143457b5ba6fc90d58
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_1,2.proof
@@ -0,0 +1,48 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(inc(n),null)
+  {p0,lr,plus(inc(n),null),[inc(n)/n]}
+= inc(n)
+  {p0,rl,n,[n/n]}
+= inc(plus(n,null))
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall n:Nat, m:Nat : plus(inc(n),m) = inc(plus(n,m)) induction m
+IA: zu zeigen: forall n:Nat : plus(inc(n),null) = inc(plus(n,null))
+plus(inc(n),null)
+  {p0,lr,plus(inc(n),null),[inc(n)/n]}
+= inc(n)
+  {p0,rl,n,[n/n]}
+= inc(plus(n,null))
+IH: forall n:Nat : fixed m:Nat : plus(inc(n),m) = inc(plus(n,m))
+IS: zu zeigen: forall n:Nat : fixed m:Nat : plus(inc(n),inc(m)) = inc(plus(n,inc(m)))
+plus(inc(n),inc(m))
+  {p1,lr,plus(inc(n),inc(m)),[inc(n)/n,m/m]}
+= inc(plus(inc(n),m))
+  {IH,lr,plus(inc(n),m),[]}
+= inc(inc(plus(n,m)))
+  {p1,rl,inc(plus(n,m)),[n/n,m/m]}
+= inc(plus(n,inc(m)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/n,m/m]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_30,37.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_30,37.proof
new file mode 100644
index 0000000000000000000000000000000000000000..9aea5cbe1edc9c771828b16fa72edfcd12c56d01
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_30,37.proof
@@ -0,0 +1,46 @@
+lemma L1: fixed y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_31,38.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_31,38.proof
new file mode 100644
index 0000000000000000000000000000000000000000..c91f943fbffbc4b146c1218e961b3ed1c9495a65
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_31,38.proof
@@ -0,0 +1,46 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction x
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_32,40,43.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_32,40,43.proof
new file mode 100644
index 0000000000000000000000000000000000000000..4d57cde859682039248bdfaae7e99b42eed4acbe
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_32,40,43.proof
@@ -0,0 +1,21 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, rl, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed n:Nat, m:Nat : plus(n,m) = plus(m,n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33d,41,43.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33d,41,43.proof
new file mode 100644
index 0000000000000000000000000000000000000000..73d7cbd58af8f02c663c0600d35e40be2e349036
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33d,41,43.proof
@@ -0,0 +1,27 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33u.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33u.proof
new file mode 100644
index 0000000000000000000000000000000000000000..c6d5cfad8a01b62b51f18e8fa52515bb238420d8
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_33u.proof
@@ -0,0 +1,46 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,plus(null,null)) = plus(null,null)
+plus(null,plus(null,null))
+    {p0, lr, plus(null,null), [null/n]}
+= plus(null,null)
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34c.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34c.proof
new file mode 100644
index 0000000000000000000000000000000000000000..c7fde5a9daf7234afc1db3a8cc68411feba5f058
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34c.proof
@@ -0,0 +1,31 @@
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34cIS,43.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34cIS,43.proof
new file mode 100644
index 0000000000000000000000000000000000000000..3ffa41800f2b216ad1e9cce557dba4a5f666fd93
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34cIS,43.proof
@@ -0,0 +1,48 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : plus(inc(null),m) = plus(m,inc(null))
+plus(m,inc(null))
+  {p1,lr,plus(m,inc(null)),[m/n,null/m]}
+= inc(plus(m,null))
+  {p0,lr,plus(m,null),[m/n]}
+= inc(m)
+  {L1,rl,m,[m/y]}
+= inc(plus(null,m))
+  {L2,rl,inc(plus(null,m)),[null/a,m/b]}
+= plus(inc(null),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34h.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34h.proof
new file mode 100644
index 0000000000000000000000000000000000000000..2008759021a2a80e199114d6b1e2d68bd693b168
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_34h.proof
@@ -0,0 +1,46 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: forall y:Nat : plus(null,y) = y
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_35.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_35.proof
new file mode 100644
index 0000000000000000000000000000000000000000..9d3aa2de07b386e7510ae90d4d83a6a77d3d06e9
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_35.proof
@@ -0,0 +1,46 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: forall m:Nat, k:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat, k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_36.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_36.proof
new file mode 100644
index 0000000000000000000000000000000000000000..007869f36046f0435e5906445d6f21a82b160be5
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_36.proof
@@ -0,0 +1,31 @@
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {IH,lr,plus(null,m),[null/k]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_39.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_39.proof
new file mode 100644
index 0000000000000000000000000000000000000000..cb25e01be72a73efdbd171fa35c16c9fbfd81f05
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_error_39.proof
@@ -0,0 +1,38 @@
+lemma L1: forall y:Nat : plus(null,y) = y
+y
+  {L1,rl,y,[]}
+= plus(null,y) 
+
+lemma L2: forall a:Nat, b:Nat : plus(inc(a),b) = inc(plus(a,b)) induction b
+IA: zu zeigen: forall a:Nat : plus(inc(a),null) = inc(plus(a,null))
+plus(inc(a),null)
+  {p0,lr,plus(inc(a),null),[inc(a)/n]}
+= inc(a)
+  {p0,rl,a,[a/n]}
+= inc(plus(a,null))
+IH: forall a:Nat : fixed b:Nat : plus(inc(a),b) = inc(plus(a,b))
+IS: zu zeigen: forall a:Nat : fixed b:Nat : plus(inc(a),inc(b)) = inc(plus(a,inc(b)))
+plus(inc(a),inc(b))
+  {p1,lr,plus(inc(a),inc(b)),[inc(a)/n,b/m]}
+= inc(plus(inc(a),b))
+  {IH,lr,plus(inc(a),b),[]}
+= inc(inc(plus(a,b)))
+  {p1,rl,inc(plus(a,b)),[a/n,b/m]}
+= inc(plus(a,inc(b)))
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/a,m/b]}
+= plus(inc(k),m)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_not_parsable_IH_nd.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_not_parsable_IH_nd.proof
new file mode 100644
index 0000000000000000000000000000000000000000..dac90b050022f21a6daaa33d466e545b4b1e6658
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Proof_not_parsable_IH_nd.proof
@@ -0,0 +1,26 @@
+lemma L1: forall y:Nat : plus(null,y) = y induction y
+IA: zu zeigen: plus(null,null) = null    
+plus(null,null)
+    {p0, lr, plus(null,null), [null/n]}
+= null
+IH: fixed y:Nat : plus(null,y) = y
+IS: zu zeigen: fixed y:Nat : plus(null,inc(y)) = inc(y)
+plus(null,inc(y))
+    {p1, lr, plus(null,inc(y)), [null/n,y/m]}
+= inc(plus(null,y))
+    {IH, lr, plus(null,y), []}
+= inc(y)
+
+lemma L: null = null
+null 
+  {IH,lr,null,[]}
+= null
+
+proof
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[m/y]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed n:Nat : forall m:Nat : plus(n,m) = plus(m,n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp.task
new file mode 100644
index 0000000000000000000000000000000000000000..6e99499f5b1f0943e4fddcc010b50f1f5f887220
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp.task
@@ -0,0 +1,5 @@
+task forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+  induction n
+    case null maxpt 4 minsteps 6 maxsteps 8
+    case inc  maxpt 6 minsteps 9 maxsteps 12
+    IH maxpt 1
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp2.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp2.task
new file mode 100644
index 0000000000000000000000000000000000000000..2907fd6572542670b841a5b9e9c4d1a9a2ee5979
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-simpl/Task_Bsp2.task
@@ -0,0 +1,17 @@
+task forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+  induction n
+    case null maxpt 2 minsteps 2 maxsteps 3
+    case inc maxpt 3 minsteps 3 maxsteps 5
+    IH maxpt 1
+
+proof lemmata 
+  L1: forall m:Nat : plus(null,m) = m
+    induction m
+      case null maxpt 1 minsteps 1 maxsteps 2
+      case inc maxpt 2 minsteps 2 maxsteps 3
+      IH maxpt 1
+  L2: forall n:Nat, m:Nat : plus(inc(n),m) = inc(plus(n,m))
+    induction m
+      case null maxpt 2 minsteps 2 maxsteps 3
+      case inc maxpt 3 minsteps 3 maxsteps 5
+      IH maxpt 1
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/ADT_Bsp.adt b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/ADT_Bsp.adt
new file mode 100644
index 0000000000000000000000000000000000000000..2a57725acf2c7deb8b2586288a9a759544f36bfc
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/ADT_Bsp.adt
@@ -0,0 +1,29 @@
+sorts Nat, List, T, NatTree
+constructors null:               Nat
+             inc: Nat         -> Nat 
+             nil:                List
+             seq: T   >< List -> List
+             E:                              NatTree
+             B: Nat                       -> NatTree
+             N: Nat >< NatTree >< NatTree -> NatTree
+operations plus:    Nat  >< Nat  -> Nat
+           mal:     Nat  >< Nat  -> Nat
+           conc:    List >< List -> List
+           reverse: List         -> List
+           inr: Nat >< NatTree -> NatTree
+           sum:        NatTree -> Nat
+vars n : Nat, m : Nat, x : T, xs : List, ys : List, t1 : NatTree, t2 : NatTree
+axioms p0: plus(n,null)   = n
+       p1: plus(n,inc(m)) = inc(plus(n,m))
+       m0: mal(n,null)   = null
+       m1: mal(n,inc(m)) = plus(mal(n,m),n)
+       c0: conc(nil,ys)       = ys
+       c1: conc(seq(x,xs),ys) = seq(x,conc(xs,ys))
+       rv0: reverse(nil)       = nil
+       rv1: reverse(seq(x,xs)) = conc(reverse(xs),seq(x,nil))
+       r0: inr(n,E)          = B(n)
+       r1: inr(n,B(m))       = N(m,E,B(n))
+       r2: inr(n,N(m,t1,t2)) = N(m,t1,inr(n,t2))
+       s0: sum(E)          = null
+       s1: sum(B(n))       = n
+       s2: sum(N(n,t1,t2)) = plus(n,plus(sum(t1),sum(t2)))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_correct.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_correct.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7a0c13d84bf6b06b48e0e8a541c068898a797c14
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_correct.proof
@@ -0,0 +1,95 @@
+lemma Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/n]}
+= plus(inc(k),m)
+
+lemma Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+induction k
+IA: zu zeigen: forall n:Nat, m:Nat : plus(plus(n,m),null) = plus(n,plus(m,null))
+plus(plus(n,m),null) 
+  {p0,lr,plus(plus(n,m),null),[plus(n,m)/n]}
+= plus(n,m)
+  {p0,rl,m,[m/n]} 
+= plus(n,plus(m,null))
+IH: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),inc(k)) = plus(n,plus(m,inc(k)))
+plus(plus(n,m),inc(k)) 
+  {p1,lr,plus(plus(n,m),inc(k)),[plus(n,m)/n,k/m]}
+= inc(plus(plus(n,m),k))
+  {IH,lr,plus(plus(n,m),k),[]}
+= inc(plus(n,plus(m,k)))
+  {p1,rl,inc(plus(n,plus(m,k))),[plus(m,k)/m]}
+= plus(n,inc(plus(m,k)))
+  {p1,rl,inc(plus(m,k)),[m/n,k/m]}
+= plus(n,plus(m,inc(k)))
+
+proof
+IA: zu zeigen: forall n:Nat : sum(inr(n,E)) = plus(n,sum(E))
+sum(inr(n,E)) 
+  {r0,lr,inr(n,E),[]}
+= sum(B(n))
+  {s1,lr,sum(B(n)),[]}
+= n
+  {p0,rl,n,[]}
+= plus(n,null)
+  {s0,rl,null,[]}
+= plus(n,sum(E))
+IA: zu zeigen: forall n:Nat, m:Nat : sum(inr(n,B(m))) = plus(n,sum(B(m)))
+sum(inr(n,B(m))) 
+  {r1,lr,inr(n,B(m)),[]}
+= sum(N(m,E,B(n)))
+  {s2,lr,sum(N(m,E,B(n))),[m/n,E/t1,B(n)/t2]}
+= plus(m,plus(sum(E),sum(B(n))))
+  {s0,lr,sum(E),[]}
+= plus(m,plus(null,sum(B(n))))
+  {s1,lr,sum(B(n)),[]}
+= plus(m,plus(null,n))
+  {L1,lr,plus(null,n),[n/m]}
+= plus(m,n)
+  {Komm,rl,plus(m,n),[]}
+= plus(n,m)
+  {s1,rl,m,[m/n]}
+= plus(n,sum(B(m)))
+IH: IH1 forall n:Nat : fixed t1:NatTree : sum(inr(n,t1)) = plus(n,sum(t1))
+IH: IH2 forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed t1:NatTree, t2:NatTree 
+               : sum(inr(n,N(m,t1,t2))) = plus(n,sum(N(m,t1,t2)))
+sum(inr(n,N(m,t1,t2))) 
+  {r2,lr,inr(n,N(m,t1,t2)),[]}
+= sum(N(m,t1,inr(n,t2)))
+  {s2,lr,sum(N(m,t1,inr(n,t2))),[m/n,inr(n,t2)/t2]}
+= plus(m,plus(sum(t1),sum(inr(n,t2))))
+  {IH2,lr,sum(inr(n,t2)),[]}
+= plus(m,plus(sum(t1),plus(n,sum(t2))))
+  {KommAsso,rl,plus(sum(t1),plus(n,sum(t2))),[sum(t1)/m,sum(t2)/k]}
+= plus(m,plus(n,plus(sum(t1),sum(t2))))
+  {KommAsso,rl,plus(m,plus(n,plus(sum(t1),sum(t2)))),[plus(sum(t1),sum(t2))/k]}
+= plus(n,plus(m,plus(sum(t1),sum(t2))))
+  {s2,rl,plus(m,plus(sum(t1),sum(t2))),[m/n]}
+= plus(n,sum(N(m,t1,t2)))
+
+lemma KommAsso: forall n:Nat, m:Nat, k:Nat : plus(n,plus(m,k)) = plus(m,plus(n,k))
+plus(n,plus(m,k)) 
+  {Asso,rl,plus(n,plus(m,k)),[]}
+= plus(plus(n,m),k)
+  {Komm,lr,plus(n,m),[]}
+= plus(plus(m,n),k)
+  {Asso,lr,plus(plus(m,n),k),[m/n,n/m]}
+= plus(m,plus(n,k))
+
+
+
+
+
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_22.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_22.proof
new file mode 100644
index 0000000000000000000000000000000000000000..8c9d177c4c5c7f1a31c3ce2b55420bd17b066f17
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_22.proof
@@ -0,0 +1,112 @@
+lemma Komm: forall n:Nat, m:Nat : plus(n,inc(m)) = plus(inc(m),n)
+IA: zu zeigen: forall m:Nat : plus(null,inc(m)) = plus(inc(m),null)
+plus(null,inc(m))
+  {L1,lr,plus(null,inc(m)),[inc(m)/m]}
+= inc(m)
+  {p0,rl,inc(m),[inc(m)/n]}
+= plus(inc(m),null)
+IH: fixed k:Nat : forall m:Nat : plus(k,inc(m)) = plus(inc(m),k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),inc(m)) = plus(inc(m),inc(k))
+plus(inc(m),inc(k))
+  {p1,lr,plus(inc(m),inc(k)),[inc(m)/n,k/m]}
+= inc(plus(inc(m),k))
+  {IH,rl,plus(inc(m),k),[]}
+= inc(plus(k,inc(m)))
+  {L2,rl,inc(plus(k,inc(m))),[k/n,inc(m)/m]}
+= plus(inc(k),inc(m))
+
+lemma Komm1: forall n:Nat, m:Nat : plus(n,m) = plus(m,n) induction n
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/n]}
+= plus(inc(k),m)
+
+lemma Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+induction k
+IA: zu zeigen: forall n:Nat, m:Nat : plus(plus(n,m),null) = plus(n,plus(m,null))
+plus(plus(n,m),null) 
+  {p0,lr,plus(plus(n,m),null),[plus(n,m)/n]}
+= plus(n,m)
+  {p0,rl,m,[m/n]} 
+= plus(n,plus(m,null))
+IH: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),inc(k)) = plus(n,plus(m,inc(k)))
+plus(plus(n,m),inc(k)) 
+  {p1,lr,plus(plus(n,m),inc(k)),[plus(n,m)/n,k/m]}
+= inc(plus(plus(n,m),k))
+  {IH,lr,plus(plus(n,m),k),[]}
+= inc(plus(n,plus(m,k)))
+  {p1,rl,inc(plus(n,plus(m,k))),[plus(m,k)/m]}
+= plus(n,inc(plus(m,k)))
+  {p1,rl,inc(plus(m,k)),[m/n,k/m]}
+= plus(n,plus(m,inc(k)))
+
+proof
+IA: zu zeigen: forall n:Nat : sum(inr(n,E)) = plus(n,sum(E))
+sum(inr(n,E)) 
+  {r0,lr,inr(n,E),[]}
+= sum(B(n))
+  {s1,lr,sum(B(n)),[]}
+= n
+  {p0,rl,n,[]}
+= plus(n,null)
+  {s0,rl,null,[]}
+= plus(n,sum(E))
+IA: zu zeigen: forall n:Nat, m:Nat : sum(inr(n,B(m))) = plus(n,sum(B(m)))
+sum(inr(n,B(m))) 
+  {r1,lr,inr(n,B(m)),[]}
+= sum(N(m,E,B(n)))
+  {s2,lr,sum(N(m,E,B(n))),[m/n,E/t1,B(n)/t2]}
+= plus(m,plus(sum(E),sum(B(n))))
+  {s0,lr,sum(E),[]}
+= plus(m,plus(null,sum(B(n))))
+  {s1,lr,sum(B(n)),[]}
+= plus(m,plus(null,n))
+  {L1,lr,plus(null,n),[n/m]}
+= plus(m,n)
+  {Komm1,rl,plus(m,n),[]}
+= plus(n,m)
+  {s1,rl,m,[m/n]}
+= plus(n,sum(B(m)))
+IH: IH1 forall n:Nat : fixed t1:NatTree : sum(inr(n,t1)) = plus(n,sum(t1))
+IH: IH2 forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed t1:NatTree, t2:NatTree 
+               : sum(inr(n,N(m,t1,t2))) = plus(n,sum(N(m,t1,t2)))
+sum(inr(n,N(m,t1,t2))) 
+  {r2,lr,inr(n,N(m,t1,t2)),[]}
+= sum(N(m,t1,inr(n,t2)))
+  {s2,lr,sum(N(m,t1,inr(n,t2))),[m/n,inr(n,t2)/t2]}
+= plus(m,plus(sum(t1),sum(inr(n,t2))))
+  {IH2,lr,sum(inr(n,t2)),[]}
+= plus(m,plus(sum(t1),plus(n,sum(t2))))
+  {KommAsso,rl,plus(sum(t1),plus(n,sum(t2))),[sum(t1)/m,sum(t2)/k]}
+= plus(m,plus(n,plus(sum(t1),sum(t2))))
+  {KommAsso,rl,plus(m,plus(n,plus(sum(t1),sum(t2)))),[plus(sum(t1),sum(t2))/k]}
+= plus(n,plus(m,plus(sum(t1),sum(t2))))
+  {s2,rl,plus(m,plus(sum(t1),sum(t2))),[m/n]}
+= plus(n,sum(N(m,t1,t2)))
+
+lemma KommAsso: forall n:Nat, m:Nat, k:Nat : plus(n,plus(m,k)) = plus(m,plus(n,k))
+plus(n,plus(m,k)) 
+  {Asso,rl,plus(n,plus(m,k)),[]}
+= plus(plus(n,m),k)
+  {Komm1,lr,plus(n,m),[]}
+= plus(plus(m,n),k)
+  {Asso,lr,plus(plus(m,n),k),[m/n,n/m]}
+= plus(m,plus(n,k))
+
+
+
+
+
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_42.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_42.proof
new file mode 100644
index 0000000000000000000000000000000000000000..066c099ca81e03a470f7bb6f9ce8f46b862c5aa8
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_42.proof
@@ -0,0 +1,96 @@
+lemma Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/n]}
+= plus(inc(k),m)
+
+lemma Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+induction k
+IA: zu zeigen: forall n:Nat, m:Nat : plus(plus(n,m),null) = plus(n,plus(m,null))
+plus(plus(n,m),null) 
+  {p0,lr,plus(plus(n,m),null),[plus(n,m)/n]}
+= plus(n,m)
+  {p0,rl,m,[m/n]} 
+= plus(n,plus(m,null))
+IH: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),inc(k)) = plus(n,plus(m,inc(k)))
+plus(plus(n,m),inc(k)) 
+  {p1,lr,plus(plus(n,m),inc(k)),[plus(n,m)/n,k/m]}
+= inc(plus(plus(n,m),k))
+  {IH,lr,plus(plus(n,m),k),[]}
+= inc(plus(n,plus(m,k)))
+  {p1,rl,inc(plus(n,plus(m,k))),[plus(m,k)/m]}
+= plus(n,inc(plus(m,k)))
+  {p1,rl,inc(plus(m,k)),[m/n,k/m]}
+= plus(n,plus(m,inc(k)))
+
+proof
+IA: zu zeigen: forall n:Nat : sum(inr(n,E)) = plus(n,sum(E))
+sum(inr(n,E)) 
+  {r0,lr,inr(n,E),[]}
+= sum(B(n))
+  {s1,lr,sum(B(n)),[]}
+= n
+  {p0,rl,n,[]}
+= plus(n,null)
+  {s0,rl,null,[]}
+= plus(n,sum(E))
+IA: zu zeigen: forall n:Nat, m:Nat : sum(inr(n,B(m))) = plus(n,sum(B(m)))
+sum(inr(n,B(m))) 
+  {r1,lr,inr(n,B(m)),[]}
+= sum(N(m,E,B(n)))
+  {s2,lr,sum(N(m,E,B(n))),[m/n,E/t1,B(n)/t2]}
+= plus(m,plus(sum(E),sum(B(n))))
+  {s0,lr,sum(E),[]}
+= plus(m,plus(null,sum(B(n))))
+  {s1,lr,sum(B(n)),[]}
+= plus(m,plus(null,n))
+  {L1,lr,plus(null,n),[n/m]}
+= plus(m,n)
+  {Komm,rl,plus(m,n),[]}
+= plus(n,m)
+  {s1,rl,m,[m/n]}
+= plus(n,sum(B(m)))
+IH: IH1 forall n:Nat : fixed t1:NatTree : sum(inr(n,t1)) = plus(n,sum(t1))
+IH: IH2 forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IH: forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed t1:NatTree, t2:NatTree 
+               : sum(inr(n,N(m,t1,t2))) = plus(n,sum(N(m,t1,t2)))
+sum(inr(n,N(m,t1,t2))) 
+  {r2,lr,inr(n,N(m,t1,t2)),[]}
+= sum(N(m,t1,inr(n,t2)))
+  {s2,lr,sum(N(m,t1,inr(n,t2))),[m/n,inr(n,t2)/t2]}
+= plus(m,plus(sum(t1),sum(inr(n,t2))))
+  {IH2,lr,sum(inr(n,t2)),[]}
+= plus(m,plus(sum(t1),plus(n,sum(t2))))
+  {KommAsso,rl,plus(sum(t1),plus(n,sum(t2))),[sum(t1)/m,sum(t2)/k]}
+= plus(m,plus(n,plus(sum(t1),sum(t2))))
+  {KommAsso,rl,plus(m,plus(n,plus(sum(t1),sum(t2)))),[plus(sum(t1),sum(t2))/k]}
+= plus(n,plus(m,plus(sum(t1),sum(t2))))
+  {s2,rl,plus(m,plus(sum(t1),sum(t2))),[m/n]}
+= plus(n,sum(N(m,t1,t2)))
+
+lemma KommAsso: forall n:Nat, m:Nat, k:Nat : plus(n,plus(m,k)) = plus(m,plus(n,k))
+plus(n,plus(m,k)) 
+  {Asso,rl,plus(n,plus(m,k)),[]}
+= plus(plus(n,m),k)
+  {Komm,lr,plus(n,m),[]}
+= plus(plus(m,n),k)
+  {Asso,lr,plus(plus(m,n),k),[m/n,n/m]}
+= plus(m,plus(n,k))
+
+
+
+
+
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_43.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_43.proof
new file mode 100644
index 0000000000000000000000000000000000000000..e67b480dbb54dab58bc29058b3651aec0118c582
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Proof_error_43.proof
@@ -0,0 +1,96 @@
+lemma Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+IA: zu zeigen: forall m:Nat : plus(null,m) = plus(m,null)
+plus(null,m)
+  {L1,lr,plus(null,m),[]}
+= m
+  {p0,rl,m,[m/n]}
+= plus(m,null)
+IH: fixed k:Nat : forall m:Nat : plus(k,m) = plus(m,k)
+IS: zu zeigen: forall m:Nat : fixed k:Nat : plus(inc(k),m) = plus(m,inc(k))
+plus(m,inc(k))
+  {p1,lr,plus(m,inc(k)),[m/n,k/m]}
+= inc(plus(m,k))
+  {IH,rl,plus(m,k),[]}
+= inc(plus(k,m))
+  {L2,rl,inc(plus(k,m)),[k/n]}
+= plus(inc(k),m)
+
+lemma Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+induction k
+IA: zu zeigen: forall n:Nat, m:Nat : plus(plus(n,m),null) = plus(n,plus(m,null))
+plus(plus(n,m),null) 
+  {p0,lr,plus(plus(n,m),null),[plus(n,m)/n]}
+= plus(n,m)
+  {p0,rl,m,[m/n]} 
+= plus(n,plus(m,null))
+IH: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed k:Nat : plus(plus(n,m),inc(k)) = plus(n,plus(m,inc(k)))
+plus(plus(n,m),inc(k)) 
+  {p1,lr,plus(plus(n,m),inc(k)),[plus(n,m)/n,k/m]}
+= inc(plus(plus(n,m),k))
+  {IH,lr,plus(plus(n,m),k),[]}
+= inc(plus(n,plus(m,k)))
+  {p1,rl,inc(plus(n,plus(m,k))),[plus(m,k)/m]}
+= plus(n,inc(plus(m,k)))
+  {p1,rl,inc(plus(m,k)),[m/n,k/m]}
+= plus(n,plus(m,inc(k)))
+
+proof
+IA: zu zeigen: forall n:Nat : sum(inr(n,E)) = plus(n,sum(E))
+sum(inr(n,E)) 
+  {r0,lr,inr(n,E),[]}
+= sum(B(n))
+  {s1,lr,sum(B(n)),[]}
+= n
+  {p0,rl,n,[]}
+= plus(n,null)
+  {s0,rl,null,[]}
+= plus(n,sum(E))
+IA: zu zeigen: forall n:Nat, m:Nat : sum(inr(n,B(m))) = plus(n,sum(B(m)))
+sum(inr(n,B(m))) 
+  {r1,lr,inr(n,B(m)),[]}
+= sum(N(m,E,B(n)))
+  {s2,lr,sum(N(m,E,B(n))),[m/n,E/t1,B(n)/t2]}
+= plus(m,plus(sum(E),sum(B(n))))
+  {s0,lr,sum(E),[]}
+= plus(m,plus(null,sum(B(n))))
+  {s1,lr,sum(B(n)),[]}
+= plus(m,plus(null,n))
+  {L1,lr,plus(null,n),[n/m]}
+= plus(m,n)
+  {Komm,rl,plus(m,n),[]}
+= plus(n,m)
+  {s1,rl,m,[m/n]}
+= plus(n,sum(B(m)))
+IH: IH1 forall n:Nat : fixed t1:NatTree : sum(inr(n,t1)) = plus(n,sum(t1))
+IH: IH2 forall n:Nat : fixed t2:NatTree : sum(inr(n,t2)) = plus(n,sum(t2))
+IH: IH3 forall n:Nat : fixed t3:NatTree : sum(inr(n,t3)) = plus(n,sum(t3))
+IS: zu zeigen: forall n:Nat, m:Nat : fixed t1:NatTree, t2:NatTree 
+               : sum(inr(n,N(m,t1,t2))) = plus(n,sum(N(m,t1,t2)))
+sum(inr(n,N(m,t1,t2))) 
+  {r2,lr,inr(n,N(m,t1,t2)),[]}
+= sum(N(m,t1,inr(n,t2)))
+  {s2,lr,sum(N(m,t1,inr(n,t2))),[m/n,inr(n,t2)/t2]}
+= plus(m,plus(sum(t1),sum(inr(n,t2))))
+  {IH2,lr,sum(inr(n,t2)),[]}
+= plus(m,plus(sum(t1),plus(n,sum(t2))))
+  {KommAsso,rl,plus(sum(t1),plus(n,sum(t2))),[sum(t1)/m,sum(t2)/k]}
+= plus(m,plus(n,plus(sum(t1),sum(t2))))
+  {KommAsso,rl,plus(m,plus(n,plus(sum(t1),sum(t2)))),[plus(sum(t1),sum(t2))/k]}
+= plus(n,plus(m,plus(sum(t1),sum(t2))))
+  {s2,rl,plus(m,plus(sum(t1),sum(t2))),[m/n]}
+= plus(n,sum(N(m,t1,t2)))
+
+lemma KommAsso: forall n:Nat, m:Nat, k:Nat : plus(n,plus(m,k)) = plus(m,plus(n,k))
+plus(n,plus(m,k)) 
+  {Asso,rl,plus(n,plus(m,k)),[]}
+= plus(plus(n,m),k)
+  {Komm,lr,plus(n,m),[]}
+= plus(plus(m,n),k)
+  {Asso,lr,plus(plus(m,n),k),[m/n,n/m]}
+= plus(m,plus(n,k))
+
+
+
+
+
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Task_Bsp.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Task_Bsp.task
new file mode 100644
index 0000000000000000000000000000000000000000..3941526262bb7ba1e74d32e36dc9f1f1a9f02361
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/ind-struk/Task_Bsp.task
@@ -0,0 +1,19 @@
+task forall n:Nat, t:NatTree : sum(inr(n,t)) = plus(n,sum(t))
+  induction t
+    case E maxpt 4 minsteps 4 maxsteps 6
+    case B maxpt 5 minsteps 5 maxsteps 7
+    case N maxpt 9 minsteps 9 maxsteps 10
+    IH maxpt 1
+
+proof lemmata 
+  Komm: forall n:Nat, m:Nat : plus(n,m) = plus(m,n)
+    induction n
+      case null maxpt 2 minsteps 2 maxsteps 3
+      case inc  maxpt 3 minsteps 3 maxsteps 4
+      IH maxpt 1
+  Asso: forall n:Nat, m:Nat, k:Nat : plus(plus(n,m),k) = plus(n,plus(m,k))
+    maxpt 7 minsteps 7 maxsteps 10
+
+lemmata
+  L1: forall        m:Nat : plus(null,m)   = m
+  L2: forall n:Nat, m:Nat : plus(inc(n),m) = inc(plus(n,m))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/ADT_Bsp.adt b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/ADT_Bsp.adt
new file mode 100644
index 0000000000000000000000000000000000000000..d79ca5ccf2688d8c6ed53d3cf476470b6c7b34b0
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/ADT_Bsp.adt
@@ -0,0 +1,14 @@
+sorts Nat, Bool
+operations 
+	null: Nat
+	inc: Nat -> Nat
+	wahr: Bool
+	falsch: Bool
+	gerade: Nat -> Bool
+	ungerade: Nat -> Bool
+vars n : Nat, m : Nat
+axioms 
+	a1: gerade(null) = wahr
+	a2: gerade(inc(null)) = falsch
+	a3: gerade(inc(inc(n))) = gerade(n)
+	a4: ungerade(n) = gerade(inc(n))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T2_correct_0.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T2_correct_0.proof
new file mode 100644
index 0000000000000000000000000000000000000000..682e73c5f59f6c6bb4377f5264b532822b5629bd
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T2_correct_0.proof
@@ -0,0 +1,10 @@
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3,4_error_20,21.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3,4_error_20,21.proof
new file mode 100644
index 0000000000000000000000000000000000000000..e880512efb71bae0673b986ddd270da0499e26ba
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3,4_error_20,21.proof
@@ -0,0 +1,20 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32_,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G32_: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21-2.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21-2.proof
new file mode 100644
index 0000000000000000000000000000000000000000..154ec1b99e6546f779deb4e7ed1d0770d1e5bd22
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21-2.proof
@@ -0,0 +1,19 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+  {G32,rl,gerade(n),[]}
+= gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7a13ccf012460ce6f164d10dc722c8f2f232985d
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_21.proof
@@ -0,0 +1,33 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+  {T,lr,gerade(n),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {A4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/m]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {T,lr,gerade(null),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma A4: forall m:Nat : ungerade(m) = gerade(inc(m))
+ungerade(m) 
+  {a4,lr,ungerade(m),[]}
+= gerade(inc(m))
+
+lemma T: forall n:Nat : gerade(n) = gerade(n)
+gerade(n)
+  {a3,rl,gerade(n),[]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_22.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_22.proof
new file mode 100644
index 0000000000000000000000000000000000000000..1880fc314a205d63a66d7adfb2cffe954b76a9bc
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_22.proof
@@ -0,0 +1,22 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(inc(inc(inc(inc(n))))))))) = gerade(n)
+gerade(inc(inc(inc(inc(inc(inc(inc(inc(n)))))))))
+  {G32_,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(n))))))))),[inc(inc(inc(inc(n))))/n]}
+= gerade(inc(inc(inc(inc(n)))))
+  {G32_,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
+lemma G32_: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_23.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_23.proof
new file mode 100644
index 0000000000000000000000000000000000000000..91c7061c281130984e0e023183dedaa7e2c13bcf
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T3_error_23.proof
@@ -0,0 +1,21 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {a3,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(inc(inc(null))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(null)))))))
+  {a3,lr,gerade(inc(inc(inc(inc(inc(inc(null))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {a3,lr,gerade(inc(inc(inc(inc(null))))),[inc(inc(null))/n]}
+= gerade(inc(inc(null)))
+  {a3,lr,gerade(inc(inc(null))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T4_error_20,21.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T4_error_20,21.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7ffa851d0ea14cd4ddb3311beca348e9eea9cb96
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_T4_error_20,21.proof
@@ -0,0 +1,30 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32_2,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G32_2: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
+lemma G32_: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+  {G32,rl,gerade(n),[]}
+= gerade(inc(inc(inc(inc(n)))))
+  {G32,lr,gerade(inc(inc(inc(inc(n))))),[]}
+= gerade(n)
+
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_0.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_0.proof
new file mode 100644
index 0000000000000000000000000000000000000000..b575570e355a41a1eaeb347077ad1e28576ea701
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_0.proof
@@ -0,0 +1,17 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_1.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_1.proof
new file mode 100644
index 0000000000000000000000000000000000000000..16fc648b7702958aa40a441b3aef0db8feced894
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_1.proof
@@ -0,0 +1,17 @@
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_2.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_2.proof
new file mode 100644
index 0000000000000000000000000000000000000000..ee886a17b72576ca9867c0b51ecf58d740cae81b
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_correct_2.proof
@@ -0,0 +1,27 @@
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {G3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {G3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {A4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G3: forall n:Nat : gerade(inc(inc(n))) = gerade(n)
+gerade(inc(inc(n))) 
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+lemma A4: forall n:Nat : ungerade(n) = gerade(inc(n))
+ungerade(n) 
+  {a4,lr,ungerade(n),[]}
+= gerade(inc(n))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_error_20,21.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_error_20,21.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7ed6333de975553c0f6aeb066a8cff1c0f57ae77
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Proof_error_20,21.proof
@@ -0,0 +1,46 @@
+lemma uc: wahr = wahr
+wahr
+  {c1,lr,wahr,[]}
+= wahr
+
+lemma nc: wahr = wahr
+wahr
+  {a1,rl,wahr,[]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+gerade(inc(inc(inc(inc(n)))))
+  {a3,lr,gerade(inc(inc(inc(inc(n))))),[inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+  {a3,lr,gerade(inc(inc(n))),[]}
+= gerade(n)
+
+proof
+ungerade(inc(inc(inc(inc(inc(inc(inc(null))))))))
+  {a4,lr,ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))),[inc(inc(inc(inc(inc(inc(inc(null)))))))/n]}
+= gerade(inc(inc(inc(inc(inc(inc(inc(inc(null)))))))))
+  {G32,lr,gerade(inc(inc(inc(inc(inc(inc(inc(inc(null))))))))),[inc(inc(inc(inc(null))))/n]}
+= gerade(inc(inc(inc(inc(null)))))
+  {G32,lr,gerade(inc(inc(inc(inc(null))))),[null/n]}
+= gerade(null)
+  {a1,lr,gerade(null),[]}
+= wahr
+
+lemma c1: wahr = wahr
+wahr
+  {c2,lr,wahr,[]}
+= wahr
+
+lemma c2: wahr = wahr
+wahr
+  {c3,lr,wahr,[]}
+= wahr
+  {nc,lr,wahr,[]}
+= wahr
+
+lemma c3: wahr = wahr
+wahr
+  {c1,lr,wahr,[]}
+= wahr
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp.task
new file mode 100644
index 0000000000000000000000000000000000000000..76b939bbf23a457df0c804e6bc348c704a8b5592
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp.task
@@ -0,0 +1,2 @@
+task ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))) = wahr 
+maxpt 8 minsteps 4 maxsteps 6
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp2.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp2.task
new file mode 100644
index 0000000000000000000000000000000000000000..bd4093371564e758602a0debd6422d2955694602
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp2.task
@@ -0,0 +1,3 @@
+task ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))) = wahr
+  maxpt 8 minsteps 4 maxsteps 6
+lemmata G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp3.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp3.task
new file mode 100644
index 0000000000000000000000000000000000000000..57eef18fa7196ab99e1ddfcdb46d08dc0acaa02e
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp3.task
@@ -0,0 +1,4 @@
+task ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))) = wahr
+  maxpt 8 minsteps 4 maxsteps 6
+proof lemmata G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+  maxpt 2 minsteps 2 maxsteps 2
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp4.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp4.task
new file mode 100644
index 0000000000000000000000000000000000000000..6fed621b5ae2811ee9df04d7e1d2c5fb275720d4
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/lemma/Task_Bsp4.task
@@ -0,0 +1,6 @@
+task ungerade(inc(inc(inc(inc(inc(inc(inc(null)))))))) = wahr
+  maxpt 6 minsteps 4 maxsteps 6
+proof lemmata G32: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+                   maxpt 2 minsteps 2 maxsteps 2
+              G32_: forall n:Nat : gerade(inc(inc(inc(inc(n))))) = gerade(n)
+                    maxpt 2 minsteps 2 maxsteps 2
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/ADT_Bsp.adt b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/ADT_Bsp.adt
new file mode 100644
index 0000000000000000000000000000000000000000..d79ca5ccf2688d8c6ed53d3cf476470b6c7b34b0
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/ADT_Bsp.adt
@@ -0,0 +1,14 @@
+sorts Nat, Bool
+operations 
+	null: Nat
+	inc: Nat -> Nat
+	wahr: Bool
+	falsch: Bool
+	gerade: Nat -> Bool
+	ungerade: Nat -> Bool
+vars n : Nat, m : Nat
+axioms 
+	a1: gerade(null) = wahr
+	a2: gerade(inc(null)) = falsch
+	a3: gerade(inc(inc(n))) = gerade(n)
+	a4: ungerade(n) = gerade(inc(n))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7b24edf20981ece2cea65895d82b44f4ec5b425e
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct_rl.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct_rl.proof
new file mode 100644
index 0000000000000000000000000000000000000000..d18bf8260870ee36047368d286b84eaa75e58450
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_correct_rl.proof
@@ -0,0 +1,8 @@
+proof
+gerade(n)
+	{a3, rl, gerade(n), []}
+= gerade(inc(inc(n)))
+	{a4, rl, gerade(inc(inc(n))), [inc(n)/n]}
+= ungerade(inc(n))
+	
+	
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_1.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_1.proof
new file mode 100644
index 0000000000000000000000000000000000000000..7f9ffcde954941c85ac15b42c3a665d7febf96ef
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_1.proof
@@ -0,0 +1,4 @@
+proof
+gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_10.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_10.proof
new file mode 100644
index 0000000000000000000000000000000000000000..403511634a0c2805c4009bd94aa7cf39d6053b23
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_10.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, rl, ungerade(inc(n)), [inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_11.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_11.proof
new file mode 100644
index 0000000000000000000000000000000000000000..57f2b13d8212d4257e9f176dd2616b25ffec523e
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_11.proof
@@ -0,0 +1,4 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_12.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_12.proof
new file mode 100644
index 0000000000000000000000000000000000000000..af7746848b0e0f4aaf4efccbd0b8b37e6c0c23c3
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_12.proof
@@ -0,0 +1,4 @@
+proof
+ungerade(inc(n))
+	{a4, rl, ungerade(inc(n)), [inc(n)/n]}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_13.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_13.proof
new file mode 100644
index 0000000000000000000000000000000000000000..38375852f92120197c434e69b21bb7ed5db62bae
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_13.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n, m/m]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_2.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_2.proof
new file mode 100644
index 0000000000000000000000000000000000000000..dc3fb8a398ea175c2c65f493bf7aaf1c9d6795b5
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_2.proof
@@ -0,0 +1,4 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(inc(inc(n)))
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_3.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_3.proof
new file mode 100644
index 0000000000000000000000000000000000000000..d807642933708dc879e1dea0dcff25b617025baa
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_3.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n,n/k]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_4.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_4.proof
new file mode 100644
index 0000000000000000000000000000000000000000..cad50e742f1f3572df41577f088d25c6d6773a17
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_4.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [gerade(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_5.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_5.proof
new file mode 100644
index 0000000000000000000000000000000000000000..81be2fabec1aefeae4ef4d492f43ad538d717095
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_5.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= inc(inc(n))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_6.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_6.proof
new file mode 100644
index 0000000000000000000000000000000000000000..dc546564f8d5aee68ec3624b55ed21a68eb20fbd
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_6.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, ungerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_7.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_7.proof
new file mode 100644
index 0000000000000000000000000000000000000000..e8e4f12c1844bf35865d1de39d5cb662976030f7
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_7.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, inc(n), [inc(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_8.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_8.proof
new file mode 100644
index 0000000000000000000000000000000000000000..8259e389495f6f647dec4576bbadedb7f06351d2
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_8.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(n)/n]}
+= gerade(inc(inc(n)))
+	{a3, rl, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_9.proof b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_9.proof
new file mode 100644
index 0000000000000000000000000000000000000000..f5d4584304f8cffec0cdc9d9fe39a5f35076fc7e
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Proof_error_9.proof
@@ -0,0 +1,6 @@
+proof
+ungerade(inc(n))
+	{a4, lr, ungerade(inc(n)), [inc(inc(n))/n]}
+= gerade(inc(inc(n)))
+	{a3, lr, gerade(inc(inc(n))), []}
+= gerade(n)
\ No newline at end of file
diff --git a/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Task_Bsp.task b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Task_Bsp.task
new file mode 100644
index 0000000000000000000000000000000000000000..db3b841f4450b3d34458f2ebb89a30dc1f7fd35e
--- /dev/null
+++ b/BaumtransformationBewerter/bin/Debug/netcoreapp3.1/Tests/simpl/Task_Bsp.task
@@ -0,0 +1 @@
+task forall n:Nat : ungerade(inc(n)) = gerade(n) maxpt 50 minsteps 1 maxsteps 100
\ No newline at end of file
diff --git a/Create_And_Test_Parsers.bat b/Create_And_Test_Parsers.bat
new file mode 100644
index 0000000000000000000000000000000000000000..a37da4bb9ced6b2f76edc1997ad1130b4703c6b5
--- /dev/null
+++ b/Create_And_Test_Parsers.bat
@@ -0,0 +1,29 @@
+@echo off
+call SET START_PATH=%~dp0
+
+echo calculating ADT
+call cd ANTRL-Grammatiken\ADT
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" ADT.g4
+call javac ADT*.java
+call grun ADT adt -gui ADT_Bsp_NatTree.txt
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" -o "%START_PATH%BaumtransformationBewerter\Eingabeverwaltung\Parser\ADT_Parser" -Dlanguage=CSharp -package "Eingabeverwaltung.Parser.ADT_Parser" ADT.g4
+
+call cd %START_PATH%
+
+echo calculating Task 
+call cd ANTRL-Grammatiken\Aufgabenstellung
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" Task.g4
+call javac Task*.java
+call grun Task task -gui Task_Bsp_plus_komm.txt
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" -o "%START_PATH%BaumtransformationBewerter\Eingabeverwaltung\Parser\Task_Parser" -Dlanguage=CSharp -package "Eingabeverwaltung.Parser.Task_Parser" Task.g4
+
+call cd %START_PATH%
+
+echo calculating Proof
+call cd ANTRL-Grammatiken\Beweis
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" Proof.g4
+call javac Proof*.java
+call grun Proof proof -gui Induction_Bsp_plus_komm.txt
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" -o "%START_PATH%BaumtransformationBewerter\Eingabeverwaltung\Parser\Proof_Parser" -Dlanguage=CSharp -package "Eingabeverwaltung.Parser.Proof_Parser" Proof.g4
+
+call cd %START_PATH%
\ No newline at end of file
diff --git a/RenameExamples.bat b/RenameExamples.bat
new file mode 100644
index 0000000000000000000000000000000000000000..ff9ec64dc1fc851fe17c5d5c08476e8c55809389
--- /dev/null
+++ b/RenameExamples.bat
@@ -0,0 +1,63 @@
+@ECHO OFF
+
+FOR /F "TOKENS=*" %%A IN ('"DIR /B "ADT_*.txt""') DO (
+
+    rem fullFileName=%%~NXA
+
+    rem fileNameNoExtension=%%~NA
+
+    rem fileExtension=%%~XA 
+ 
+    CALL :RenameLogicADT "%%~NXA" "%%~NA"
+
+)
+GOTO :Task
+
+:RenameLogicADT
+set FnameNoExt=%~2
+FOR /F "TOKENS=1 DELIMS= " %%R IN ("%FnameNoExt%") DO (SET FnamePart1=%%R)
+echo Parsed Scan: %FnamePart1%
+
+ren "%~1" "%FnamePart1%.adt"
+
+:Task
+FOR /F "TOKENS=*" %%A IN ('"DIR /B "Task_*.txt""') DO (
+
+    rem fullFileName=%%~NXA
+
+    rem fileNameNoExtension=%%~NA
+
+    rem fileExtension=%%~XA 
+ 
+    CALL :RenameLogicTask "%%~NXA" "%%~NA"
+
+)
+GOTO :Proof
+
+:RenameLogicTask
+set FnameNoExt=%~2
+FOR /F "TOKENS=1 DELIMS= " %%R IN ("%FnameNoExt%") DO (SET FnamePart1=%%R)
+echo Parsed Scan: %FnamePart1%
+
+ren "%~1" "%FnamePart1%.task"
+
+:Proof
+FOR /F "TOKENS=*" %%A IN ('"DIR /B "Proof_*.txt""') DO (
+
+    rem fullFileName=%%~NXA
+
+    rem fileNameNoExtension=%%~NA
+
+    rem fileExtension=%%~XA 
+ 
+    CALL :RenameLogicTask "%%~NXA" "%%~NA"
+
+)
+GOTO :EOF
+
+:RenameLogicTask
+set FnameNoExt=%~2
+FOR /F "TOKENS=1 DELIMS= " %%R IN ("%FnameNoExt%") DO (SET FnamePart1=%%R)
+echo Parsed Scan: %FnamePart1%
+
+ren "%~1" "%FnamePart1%.proof"
diff --git a/Test_Parsers.bat b/Test_Parsers.bat
new file mode 100644
index 0000000000000000000000000000000000000000..e675819a5de4c0cbbb9444511645555bb5b69cc6
--- /dev/null
+++ b/Test_Parsers.bat
@@ -0,0 +1,26 @@
+@echo off
+call SET START_PATH=%~dp0
+
+echo calculating ADT
+call cd ANTRL-Grammatiken\ADT
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" ADT.g4
+call javac ADT*.java
+call grun ADT adt -gui ADT_Bsp_NatTree.txt
+
+call cd %START_PATH%
+
+echo calculating Task 
+call cd ANTRL-Grammatiken\Aufgabenstellung
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" Task.g4
+call javac Task*.java
+call grun Task task -gui Task_Bsp_NatTree.txt
+
+call cd %START_PATH%
+
+echo calculating Proof
+call cd ANTRL-Grammatiken\Beweis
+call antlr4 -lib "%START_PATH%ANTRL-Grammatiken\Lib" Proof.g4
+call javac Proof*.java
+call grun Proof proof -gui demo).proof
+
+call cd %START_PATH%
\ No newline at end of file
diff --git a/antlr-4.8-complete.jar b/antlr-4.8-complete.jar
new file mode 100644
index 0000000000000000000000000000000000000000..89a0640e2688aa1ad5a851ae52c51d9c6774c31d
Binary files /dev/null and b/antlr-4.8-complete.jar differ