TSTP Solution File: SYN918+1 by JavaRes---1.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN918+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 : n009.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 18:31:48 EDT 2022
% Result : Theorem 2.89s 1.26s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN918+1 : TPTP v7.5.0. Released v3.1.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % RAMPerCPU : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Mar 10 17:24:07 EST 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 # Using default include path : /export/starexec/sandbox2/benchmark
% 0.20/0.50 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 # 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}
% 0.20/0.50 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.47/0.59 # hasConjecture: true isFOF: true
% 0.47/0.59 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.47/0.59 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 2.89/1.26 # -----------------
% 2.89/1.26 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.26
% 2.89/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.26 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.26 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.26 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.26 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.26 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.26 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.26 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.26 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.26 cnf(cnf4,negated_conjecture,~h(X5)|f(skf6(X5)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.26 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.26 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.26 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.26 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.26 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.26 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.26 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.26 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.26 cnf(cnf0,negated_conjecture,f(X1)|f(skf6(X1)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.26 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.26 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.26 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.26 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.26 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.26 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.26 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.26 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.26 cnf(cnf2,negated_conjecture,g(X3)|f(skf6(X3)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.26 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.26 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.26 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.26 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf8,negated_conjecture,~f(X8)|~g(X8)|h(X8),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 cnf(c3,plain,~f(X15)|h(X15)|f(skf6(X15)),inference(resolution, status(thm), [cnf8, cnf2])).
% 2.89/1.27 cnf(c24,plain,h(X16)|f(skf6(X16)),inference(resolution, status(thm), [c3, cnf0])).
% 2.89/1.27 cnf(c27,plain,f(skf6(X17)),inference(resolution, status(thm), [c24, cnf4])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf8,negated_conjecture,~f(X8)|~g(X8)|h(X8),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf6,negated_conjecture,~f(X12)|g(X12)|~f(X13)|h(X13),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 cnf(c8,plain,~f(X14)|g(X14)|h(X14),inference(factor, status(thm), [cnf6])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf4,negated_conjecture,~h(X5)|f(skf6(X5)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf0,negated_conjecture,f(X1)|f(skf6(X1)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf2,negated_conjecture,g(X3)|f(skf6(X3)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf8,negated_conjecture,~f(X8)|~g(X8)|h(X8),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 cnf(c3,plain,~f(X15)|h(X15)|f(skf6(X15)),inference(resolution, status(thm), [cnf8, cnf2])).
% 2.89/1.27 cnf(c24,plain,h(X16)|f(skf6(X16)),inference(resolution, status(thm), [c3, cnf0])).
% 2.89/1.27 cnf(c27,plain,f(skf6(X17)),inference(resolution, status(thm), [c24, cnf4])).
% 2.89/1.27 cnf(c35,plain,g(skf6(X18))|h(skf6(X18)),inference(resolution, status(thm), [c27, c8])).
% 2.89/1.27 cnf(c39,plain,h(skf6(X23))|~f(skf6(X23)),inference(resolution, status(thm), [c35, cnf8])).
% 2.89/1.27 cnf(c60,plain,h(skf6(X24)),inference(resolution, status(thm), [c39, c27])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf5,negated_conjecture,~h(X6)|~g(skf6(X6)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf4,negated_conjecture,~h(X5)|f(skf6(X5)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf0,negated_conjecture,f(X1)|f(skf6(X1)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf2,negated_conjecture,g(X3)|f(skf6(X3)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf8,negated_conjecture,~f(X8)|~g(X8)|h(X8),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 cnf(c3,plain,~f(X15)|h(X15)|f(skf6(X15)),inference(resolution, status(thm), [cnf8, cnf2])).
% 2.89/1.27 cnf(c24,plain,h(X16)|f(skf6(X16)),inference(resolution, status(thm), [c3, cnf0])).
% 2.89/1.27 cnf(c27,plain,f(skf6(X17)),inference(resolution, status(thm), [c24, cnf4])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf7,negated_conjecture,~f(X7)|~h(X7)|g(X7),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf6,negated_conjecture,~f(X12)|g(X12)|~f(X13)|h(X13),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 cnf(c8,plain,~f(X14)|g(X14)|h(X14),inference(factor, status(thm), [cnf6])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf4,negated_conjecture,~h(X5)|f(skf6(X5)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.27 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.27 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.27 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.27 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.27 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.27 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.27 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.27 cnf(cnf0,negated_conjecture,f(X1)|f(skf6(X1)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.27 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.28 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.28 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.28 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.28 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.28 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.28 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.28 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.28 cnf(cnf2,negated_conjecture,g(X3)|f(skf6(X3)),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.28 fof(prove_this,conjecture,(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V)))))),input).
% 2.89/1.28 fof(f1,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&(~g(Y))))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&(~h(V))))))),inference(assume_negation, status(cth), [prove_this])).
% 2.89/1.28 fof(f4,negated_conjecture,(~(((![X]:(((f(X)&g(X))=>h(X))=>(?[Y]:(f(Y)&~g(Y)))))&((![W]:(f(W)=>g(W)))|(![Z]:(f(Z)=>h(Z)))))=>((![R]:((f(R)&h(R))=>g(R)))=>(?[V]:((f(V)&g(V))&~h(V)))))),inference(fof_simplification, status(thm), [f1])).
% 2.89/1.28 fof(f5,negated_conjecture,(((![X]:(((f(X)&g(X))&~h(X))|(?[Y]:(f(Y)&~g(Y)))))&((![W]:(~f(W)|g(W)))|(![Z]:(~f(Z)|h(Z)))))&((![R]:((~f(R)|~h(R))|g(R)))&(![V]:((~f(V)|~g(V))|h(V))))),inference(fof_nnf, status(thm), [f4])).
% 2.89/1.28 fof(f6,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(?[VAR0]:(f(VAR0)&~g(VAR0)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 2.89/1.28 fof(f7,negated_conjecture,(((![VAR1]:(((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1)))))&((![VAR2]:(~f(VAR2)|g(VAR2)))|(![VAR3]:(~f(VAR3)|h(VAR3)))))&((![VAR4]:((~f(VAR4)|~h(VAR4))|g(VAR4)))&(![VAR5]:((~f(VAR5)|~g(VAR5))|h(VAR5))))),inference(skolemize, status(esa), [f6])).
% 2.89/1.28 fof(f8,negated_conjecture,(((((f(VAR1)&g(VAR1))&~h(VAR1))|(f(skf6(VAR1))&~g(skf6(VAR1))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 2.89/1.28 fof(f9,negated_conjecture,((((((f(VAR1)|f(skf6(VAR1)))&(f(VAR1)|~g(skf6(VAR1))))&((g(VAR1)|f(skf6(VAR1)))&(g(VAR1)|~g(skf6(VAR1)))))&((~h(VAR1)|f(skf6(VAR1)))&(~h(VAR1)|~g(skf6(VAR1)))))&((~f(VAR2)|g(VAR2))|(~f(VAR3)|h(VAR3))))&(((~f(VAR4)|~h(VAR4))|g(VAR4))&((~f(VAR5)|~g(VAR5))|h(VAR5)))),inference(distribute, status(thm), [f8])).
% 2.89/1.28 cnf(cnf8,negated_conjecture,~f(X8)|~g(X8)|h(X8),inference(split_conjunct, status(thm), [f9])).
% 2.89/1.28 cnf(c3,plain,~f(X15)|h(X15)|f(skf6(X15)),inference(resolution, status(thm), [cnf8, cnf2])).
% 2.89/1.28 cnf(c24,plain,h(X16)|f(skf6(X16)),inference(resolution, status(thm), [c3, cnf0])).
% 2.89/1.28 cnf(c27,plain,f(skf6(X17)),inference(resolution, status(thm), [c24, cnf4])).
% 2.89/1.28 cnf(c35,plain,g(skf6(X18))|h(skf6(X18)),inference(resolution, status(thm), [c27, c8])).
% 2.89/1.28 cnf(c42,plain,g(skf6(X33))|~f(skf6(X33)),inference(resolution, status(thm), [c35, cnf7])).
% 2.89/1.28 cnf(c73,plain,g(skf6(X34)),inference(resolution, status(thm), [c42, c27])).
% 2.89/1.28 cnf(c83,plain,~h(X36),inference(resolution, status(thm), [c73, cnf5])).
% 2.89/1.28 cnf(c91,plain,$false,inference(resolution, status(thm), [c83, c60])).
% 2.89/1.28 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.28 # Filename : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.28 # Indexed : true
% 2.89/1.28 # Eval function name : PickGiven5
% 2.89/1.28 # Initial clauses : 9
% 2.89/1.28 # Processed clauses : 26
% 2.89/1.28 # Factors computed : 1
% 2.89/1.28 # Resolvents computed: 94
% 2.89/1.28 # Tautologies deleted: 0
% 2.89/1.28 # Forward subsumed : 10
% 2.89/1.28 # Backward subsumed : 31
% 2.89/1.28 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/1.28 # SZS Expected : Theorem
% 2.89/1.28 # time : 666ms
% 2.89/1.28
%------------------------------------------------------------------------------