TSTP Solution File: SYN939+1 by JavaRes---1.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN939+1 : TPTP v7.5.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n003.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 2.02s 1.01s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN939+1 : TPTP v7.5.0. Released v3.1.0.
% 0.06/0.13 % Command : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % RAMPerCPU : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Mar 10 17:50:25 EST 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 # Using default include path : /export/starexec/sandbox2/benchmark
% 0.19/0.48 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox2/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.19/0.48 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.43/0.52 # hasConjecture: true isFOF: true
% 0.43/0.52 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.43/0.52 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 2.02/1.01 # -----------------
% 2.02/1.01 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/1.01
% 2.02/1.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/1.01 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.01 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.01 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.01 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.01 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.01 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.01 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.01 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.01 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.01 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.01 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.01 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.01 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.01 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.01 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.01 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.01 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.01 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.01 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.01 cnf(cnf3,negated_conjecture,~p(X2)|r(X3)|~q(X2),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.01 cnf(c0,plain,~p(f(X4))|r(X5),inference(resolution, status(thm), [cnf3, cnf0])).
% 2.02/1.01 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.01 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.01 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf1,negated_conjecture,p(f(X6))|r(X6)|~q(X7),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c1,plain,p(f(X8))|r(X8),inference(resolution, status(thm), [cnf1, cnf0])).
% 2.02/1.02 cnf(c2,plain,r(X11)|r(X12),inference(resolution, status(thm), [c1, c0])).
% 2.02/1.02 cnf(c4,plain,r(X13),inference(factor, status(thm), [c2])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf3,negated_conjecture,~p(X2)|r(X3)|~q(X2),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c0,plain,~p(f(X4))|r(X5),inference(resolution, status(thm), [cnf3, cnf0])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf1,negated_conjecture,p(f(X6))|r(X6)|~q(X7),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c1,plain,p(f(X8))|r(X8),inference(resolution, status(thm), [cnf1, cnf0])).
% 2.02/1.02 cnf(c2,plain,r(X11)|r(X12),inference(resolution, status(thm), [c1, c0])).
% 2.02/1.02 cnf(c4,plain,r(X13),inference(factor, status(thm), [c2])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf3,negated_conjecture,~p(X2)|r(X3)|~q(X2),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c0,plain,~p(f(X4))|r(X5),inference(resolution, status(thm), [cnf3, cnf0])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf1,negated_conjecture,p(f(X6))|r(X6)|~q(X7),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c1,plain,p(f(X8))|r(X8),inference(resolution, status(thm), [cnf1, cnf0])).
% 2.02/1.02 cnf(c2,plain,r(X11)|r(X12),inference(resolution, status(thm), [c1, c0])).
% 2.02/1.02 cnf(c4,plain,r(X13),inference(factor, status(thm), [c2])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf3,negated_conjecture,~p(X2)|r(X3)|~q(X2),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c0,plain,~p(f(X4))|r(X5),inference(resolution, status(thm), [cnf3, cnf0])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf1,negated_conjecture,p(f(X6))|r(X6)|~q(X7),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c1,plain,p(f(X8))|r(X8),inference(resolution, status(thm), [cnf1, cnf0])).
% 2.02/1.02 cnf(c2,plain,r(X11)|r(X12),inference(resolution, status(thm), [c1, c0])).
% 2.02/1.02 cnf(c4,plain,r(X13),inference(factor, status(thm), [c2])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.02 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.02 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.02 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.02 cnf(cnf2,negated_conjecture,p(f(X9))|~r(skf6)|~r(skf5)|~q(X10),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.02 cnf(c3,plain,p(f(X14))|~r(skf6)|~r(skf5),inference(resolution, status(thm), [cnf2, cnf0])).
% 2.02/1.02 cnf(c5,plain,p(f(X15))|~r(skf6),inference(resolution, status(thm), [c3, c4])).
% 2.02/1.02 cnf(c7,plain,p(f(X16)),inference(resolution, status(thm), [c5, c4])).
% 2.02/1.02 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.02 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.02 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.02 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.02 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.03 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.03 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.03 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.03 cnf(cnf0,negated_conjecture,q(f(X1)),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.03 fof(prove_this,conjecture,(![C]:(![B]:((![Z]:q(f(Z)))=>(?[X]:(?[Y]:(((p(f(Y))=>p(X))&(r(Y)=>(r(B)&r(C))))&q(X))))))),input).
% 2.02/1.03 fof(f1,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.03 fof(f4,negated_conjecture,(~(![C]:(![B]:((![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])).
% 2.02/1.03 fof(f5,negated_conjecture,(?[C]:(?[B]:((![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])).
% 2.02/1.03 fof(f6,negated_conjecture,((![Z]:q(f(Z)))&(?[C]:(?[B]:(![X]:(![Y]:(((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X))))))),inference(shift_quantors, status(thm), [f5])).
% 2.02/1.03 fof(f7,negated_conjecture,((![VAR0]:q(f(VAR0)))&(?[VAR4]:(?[VAR3]:(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(VAR3)|~r(VAR4))))|~q(VAR2))))))),inference(variable_rename, status(thm), [f6])).
% 2.02/1.03 fof(f8,negated_conjecture,((![VAR0]:q(f(VAR0)))&(![VAR2]:(![VAR1]:(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))))),inference(skolemize, status(esa), [f7])).
% 2.02/1.03 fof(f9,negated_conjecture,(q(f(VAR0))&(((p(f(VAR1))&~p(VAR2))|(r(VAR1)&(~r(skf6)|~r(skf5))))|~q(VAR2))),inference(shift_quantors, status(thm), [f8])).
% 2.02/1.03 fof(f10,negated_conjecture,(q(f(VAR0))&((((p(f(VAR1))|r(VAR1))|~q(VAR2))&((p(f(VAR1))|(~r(skf6)|~r(skf5)))|~q(VAR2)))&(((~p(VAR2)|r(VAR1))|~q(VAR2))&((~p(VAR2)|(~r(skf6)|~r(skf5)))|~q(VAR2))))),inference(distribute, status(thm), [f9])).
% 2.02/1.03 cnf(cnf4,negated_conjecture,~p(X17)|~r(skf6)|~r(skf5)|~q(X17),inference(split_conjunct, status(thm), [f10])).
% 2.02/1.03 cnf(c10,plain,~p(f(X20))|~r(skf6)|~r(skf5),inference(resolution, status(thm), [cnf4, cnf0])).
% 2.02/1.03 cnf(c11,plain,~r(skf6)|~r(skf5),inference(resolution, status(thm), [c10, c7])).
% 2.02/1.03 cnf(c13,plain,~r(skf6),inference(resolution, status(thm), [c11, c4])).
% 2.02/1.03 cnf(c15,plain,$false,inference(resolution, status(thm), [c13, c4])).
% 2.02/1.03 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/1.03 # Filename : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/1.03 # Indexed : true
% 2.02/1.03 # Eval function name : PickGiven5
% 2.02/1.03 # Initial clauses : 5
% 2.02/1.03 # Processed clauses : 15
% 2.02/1.03 # Factors computed : 1
% 2.02/1.03 # Resolvents computed: 16
% 2.02/1.03 # Tautologies deleted: 0
% 2.02/1.03 # Forward subsumed : 3
% 2.02/1.03 # Backward subsumed : 24
% 2.02/1.03 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.02/1.03 # SZS Expected : Theorem
% 2.02/1.03 # time : 485ms
% 2.02/1.03
%------------------------------------------------------------------------------