TSTP Solution File: SYN940+1 by JavaRes---1.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN940+1 : TPTP v7.5.0. Released v3.1.0.
% 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 : n032.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 18:31:51 EDT 2022
% Result : Theorem 0.12s 0.49s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : SYN940+1 : TPTP v7.5.0. Released v3.1.0.
% 0.02/0.13 % 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
% 0.08/0.32 % Computer : n032.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % RAMPerCPU : 8042.1875MB
% 0.08/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 600
% 0.08/0.32 % DateTime : Thu Mar 10 17:50:46 EST 2022
% 0.08/0.32 % CPUTime :
% 0.12/0.41 # Using default include path : /export/starexec/sandbox/benchmark
% 0.12/0.41 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 # 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}
% 0.12/0.41 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.12/0.45 # hasConjecture: true isFOF: true
% 0.12/0.45 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.12/0.45 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.12/0.49 # -----------------
% 0.12/0.49 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.49
% 0.12/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf1,negated_conjecture,p(f(X2))|~q(X3),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 cnf(c0,plain,p(f(X4)),inference(resolution, status(thm), [cnf1, cnf0])).
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf2,negated_conjecture,~p(X5)|r(X6)|~q(X5),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 cnf(c1,plain,~p(f(X7))|r(X8),inference(resolution, status(thm), [cnf2, cnf0])).
% 0.12/0.49 cnf(c2,plain,r(X10),inference(resolution, status(thm), [c1, c0])).
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.49 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.49 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.49 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.49 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.49 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.49 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.49 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.49 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.49 cnf(cnf1,negated_conjecture,p(f(X2))|~q(X3),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.49 cnf(c0,plain,p(f(X4)),inference(resolution, status(thm), [cnf1, cnf0])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf2,negated_conjecture,~p(X5)|r(X6)|~q(X5),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 cnf(c1,plain,~p(f(X7))|r(X8),inference(resolution, status(thm), [cnf2, cnf0])).
% 0.12/0.50 cnf(c2,plain,r(X10),inference(resolution, status(thm), [c1, c0])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf1,negated_conjecture,p(f(X2))|~q(X3),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 cnf(c0,plain,p(f(X4)),inference(resolution, status(thm), [cnf1, cnf0])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 fof(prove_this,conjecture,(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X))))))),input).
% 0.12/0.50 fof(f1,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(assume_negation, status(cth), [prove_this])).
% 0.12/0.50 fof(f4,negated_conjecture,(~(![B]:(![C]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:((p(f(Y))=>(p(X)&(r(Y)=>(r(B)&r(C)))))&q(X)))))))),inference(fof_simplification, status(thm), [f1])).
% 0.12/0.50 fof(f5,negated_conjecture,(?[B]:(?[C]:((![Z]:q(f(Z)))&(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(fof_nnf, status(thm), [f4])).
% 0.12/0.50 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[B]:(?[C]:(![X]:(![Y]:((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 0.12/0.50 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(VAR4)|~r(VAR3)))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 0.12/0.50 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 0.12/0.50 fof(f9,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))&(~p(VAR2)|(r(VAR1)&(~r(skf5)|~r(skf6)))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 0.12/0.50 fof(f10,negated_conjecture,(q(f(VAR0))&((p(f(VAR1))|~q(VAR2))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf5)|~r(skf6)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 0.12/0.50 cnf(cnf3,negated_conjecture,~p(X9)|~r(skf5)|~r(skf6)|~q(X9),inference(split_conjunct, status(thm), [f10])).
% 0.12/0.50 cnf(c3,plain,~p(f(X11))|~r(skf5)|~r(skf6),inference(resolution, status(thm), [cnf3, cnf0])).
% 0.12/0.50 cnf(c4,plain,~r(skf5)|~r(skf6),inference(resolution, status(thm), [c3, c0])).
% 0.12/0.50 cnf(c5,plain,~r(skf5),inference(resolution, status(thm), [c4, c2])).
% 0.12/0.50 cnf(c6,plain,$false,inference(resolution, status(thm), [c5, c2])).
% 0.12/0.50 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.50 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.50 # Indexed : true
% 0.12/0.50 # Eval function name : PickGiven5
% 0.12/0.50 # Initial clauses : 4
% 0.12/0.50 # Processed clauses : 10
% 0.12/0.50 # Factors computed : 0
% 0.12/0.50 # Resolvents computed: 7
% 0.12/0.50 # Tautologies deleted: 0
% 0.12/0.50 # Forward subsumed : 0
% 0.12/0.50 # Backward subsumed : 8
% 0.12/0.50 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.50 # SZS Expected : Theorem
% 0.12/0.50 # time : 39ms
% 0.12/0.50
%------------------------------------------------------------------------------