TSTP Solution File: SYN986+1.003 by JavaRes---1.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN986+1.003 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Mar 28 18:32:00 EDT 2022
% Result : Theorem 3.66s 2.39s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN986+1.003 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.13 % Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Mar 10 19:41:42 EST 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.46 # Using default include path : /export/starexec/sandbox/benchmark
% 0.20/0.47 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.20/0.47 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.20/0.49 # INFO in Formula.command2clauses(): include file: /export/starexec/sandbox/benchmark/Axioms/SYN002+0.ax
% 0.20/0.52 # hasConjecture: true isFOF: true
% 0.20/0.52 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.20/0.52 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 3.66/2.39 # -----------------
% 3.66/2.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/2.39
% 3.66/2.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.39 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.39 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.39 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.39 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.39 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.39 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.39 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.39 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.39 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.39 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.39 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.39 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.39 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.39 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.39 cnf(c3,plain,~r(X19,succ(zero),X20)|r(X19,succ(succ(zero)),succ(succ(X20))),inference(resolution, status(thm), [c2, cnf1])).
% 3.66/2.39 cnf(c15,plain,r(X21,succ(succ(zero)),succ(succ(succ(succ(X21))))),inference(resolution, status(thm), [c3, c2])).
% 3.66/2.39 fof(ck,conjecture,(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0)))))),input).
% 3.66/2.39 fof(f12,negated_conjecture,(~(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0))))))),inference(assume_negation, status(cth), [ck])).
% 3.66/2.39 fof(f15,negated_conjecture,(~(?[Z3]:(?[Z2]:(?[Z1]:(?[Z0]:(((r(zero,zero,Z3)&r(zero,Z3,Z2))&r(zero,Z2,Z1))&r(zero,Z1,Z0))))))),inference(fof_simplification, status(thm), [f12])).
% 3.66/2.39 fof(f16,negated_conjecture,(![Z3]:(![Z2]:(![Z1]:(![Z0]:(((~r(zero,zero,Z3)|~r(zero,Z3,Z2))|~r(zero,Z2,Z1))|~r(zero,Z1,Z0)))))),inference(fof_nnf, status(thm), [f15])).
% 3.66/2.39 fof(f17,negated_conjecture,(![VAR8]:(![VAR7]:(![VAR6]:(![VAR5]:(((~r(zero,zero,VAR8)|~r(zero,VAR8,VAR7))|~r(zero,VAR7,VAR6))|~r(zero,VAR6,VAR5)))))),inference(variable_rename, status(thm), [f16])).
% 3.66/2.39 fof(f18,negated_conjecture,(((~r(zero,zero,VAR8)|~r(zero,VAR8,VAR7))|~r(zero,VAR7,VAR6))|~r(zero,VAR6,VAR5)),inference(shift_quantors, status(thm), [f17])).
% 3.66/2.39 cnf(cnf2,negated_conjecture,~r(zero,zero,X11)|~r(zero,X11,X12)|~r(zero,X12,X13)|~r(zero,X13,X14),inference(split_conjunct, status(thm), [f18])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.39 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.39 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.39 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.39 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.39 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.39 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.39 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.39 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.39 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.39 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.39 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.39 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.40 cnf(c3,plain,~r(X19,succ(zero),X20)|r(X19,succ(succ(zero)),succ(succ(X20))),inference(resolution, status(thm), [c2, cnf1])).
% 3.66/2.40 cnf(c15,plain,r(X21,succ(succ(zero)),succ(succ(succ(succ(X21))))),inference(resolution, status(thm), [c3, c2])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.40 cnf(c3,plain,~r(X19,succ(zero),X20)|r(X19,succ(succ(zero)),succ(succ(X20))),inference(resolution, status(thm), [c2, cnf1])).
% 3.66/2.40 cnf(c15,plain,r(X21,succ(succ(zero)),succ(succ(succ(succ(X21))))),inference(resolution, status(thm), [c3, c2])).
% 3.66/2.40 cnf(c17,plain,~r(X35,succ(succ(zero)),X36)|r(X35,succ(succ(succ(zero))),succ(succ(succ(succ(X36))))),inference(resolution, status(thm), [c15, cnf1])).
% 3.66/2.40 cnf(c30,plain,r(X37,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X37))))))))),inference(resolution, status(thm), [c17, c15])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.66/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.66/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.66/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.66/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.66/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.66/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.66/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.66/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.66/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.66/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.66/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.74/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.74/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.74/2.40 cnf(c3,plain,~r(X19,succ(zero),X20)|r(X19,succ(succ(zero)),succ(succ(X20))),inference(resolution, status(thm), [c2, cnf1])).
% 3.74/2.40 cnf(c15,plain,r(X21,succ(succ(zero)),succ(succ(succ(succ(X21))))),inference(resolution, status(thm), [c3, c2])).
% 3.74/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.74/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.74/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.74/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.74/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.74/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.74/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.74/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.74/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.74/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.74/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.74/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.74/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.74/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.74/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.74/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.74/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.74/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.74/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.74/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.74/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.74/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.74/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.74/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.74/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.74/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.74/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.74/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.74/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.74/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.74/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.74/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.74/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.74/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.74/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.74/2.40 fof(hyp1,axiom,(![Y]:r(Y,zero,succ(Y))),input).
% 3.74/2.40 fof(f2,axiom,(![Y]:r(Y,zero,succ(Y))),inference(fof_simplification, status(thm), [hyp1])).
% 3.74/2.40 fof(f3,axiom,(![VAR0]:r(VAR0,zero,succ(VAR0))),inference(variable_rename, status(thm), [f2])).
% 3.74/2.40 fof(f4,axiom,r(VAR0,zero,succ(VAR0)),inference(shift_quantors, status(thm), [f3])).
% 3.74/2.40 cnf(cnf0,axiom,r(X1,zero,succ(X1)),inference(split_conjunct, status(thm), [f4])).
% 3.74/2.40 fof(hyp2,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),input).
% 3.74/2.40 fof(f7,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(r(Y,X,Z)=>(r(Z,X,Z1)=>r(Y,succ(X),Z1))))))),inference(fof_simplification, status(thm), [hyp2])).
% 3.74/2.40 fof(f8,axiom,(![Y]:(![X]:(![Z]:(![Z1]:(~r(Y,X,Z)|(~r(Z,X,Z1)|r(Y,succ(X),Z1))))))),inference(fof_nnf, status(thm), [f7])).
% 3.74/2.40 fof(f9,axiom,(![VAR4]:(![VAR3]:(![VAR2]:(![VAR1]:(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))))))),inference(variable_rename, status(thm), [f8])).
% 3.74/2.40 fof(f10,axiom,(~r(VAR4,VAR3,VAR2)|(~r(VAR2,VAR3,VAR1)|r(VAR4,succ(VAR3),VAR1))),inference(shift_quantors, status(thm), [f9])).
% 3.74/2.40 cnf(cnf1,axiom,~r(X2,X3,X4)|~r(X4,X3,X5)|r(X2,succ(X3),X5),inference(split_conjunct, status(thm), [f10])).
% 3.74/2.40 cnf(c1,plain,~r(X8,zero,X9)|r(X8,succ(zero),succ(X9)),inference(resolution, status(thm), [cnf1, cnf0])).
% 3.74/2.40 cnf(c2,plain,r(X10,succ(zero),succ(succ(X10))),inference(resolution, status(thm), [c1, cnf0])).
% 3.74/2.40 cnf(c3,plain,~r(X19,succ(zero),X20)|r(X19,succ(succ(zero)),succ(succ(X20))),inference(resolution, status(thm), [c2, cnf1])).
% 3.74/2.40 cnf(c15,plain,r(X21,succ(succ(zero)),succ(succ(succ(succ(X21))))),inference(resolution, status(thm), [c3, c2])).
% 3.74/2.40 cnf(c17,plain,~r(X35,succ(succ(zero)),X36)|r(X35,succ(succ(succ(zero))),succ(succ(succ(succ(X36))))),inference(resolution, status(thm), [c15, cnf1])).
% 3.74/2.40 cnf(c30,plain,r(X37,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X37))))))))),inference(resolution, status(thm), [c17, c15])).
% 3.74/2.40 cnf(c32,plain,~r(X40,succ(succ(succ(zero))),X41)|r(X40,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(X41))))))))),inference(resolution, status(thm), [c30, cnf1])).
% 3.74/2.40 cnf(c36,plain,r(X42,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X42))))))))))))))))),inference(resolution, status(thm), [c32, c30])).
% 3.74/2.40 cnf(c39,plain,~r(zero,zero,X43)|~r(zero,X43,X44)|~r(zero,X44,succ(succ(succ(succ(zero))))),inference(resolution, status(thm), [c36, cnf2])).
% 3.74/2.40 cnf(c42,plain,~r(zero,zero,X45)|~r(zero,X45,succ(succ(zero))),inference(resolution, status(thm), [c39, c15])).
% 3.74/2.40 cnf(c43,plain,~r(zero,zero,succ(zero)),inference(resolution, status(thm), [c42, c2])).
% 3.74/2.40 cnf(c44,plain,$false,inference(resolution, status(thm), [c43, cnf0])).
% 3.74/2.40 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.74/2.40 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.74/2.40 # Indexed : true
% 3.74/2.40 # Eval function name : PickGiven5
% 3.74/2.40 # Initial clauses : 3
% 3.74/2.40 # Processed clauses : 29
% 3.74/2.40 # Factors computed : 20
% 3.74/2.40 # Resolvents computed: 25
% 3.74/2.40 # Tautologies deleted: 0
% 3.74/2.40 # Forward subsumed : 15
% 3.74/2.40 # Backward subsumed : 2
% 3.74/2.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.74/2.40 # SZS Expected : Theorem
% 3.74/2.40 # time : 1867ms
% 3.74/2.40
%------------------------------------------------------------------------------