TSTP Solution File: SYN920+1 by JavaRes---1.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN920+1 : TPTP v7.5.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% Computer : n007.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 3.24s 1.72s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN920+1 : TPTP v7.5.0. Released v3.1.0.
% 0.10/0.13 % Command : java -Xmx15G -cp /export/starexec/sandbox/solver/bin atp.ProverFOF -i /export/starexec/sandbox/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.13/0.34 % Computer : n007.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 17:07:14 EST 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 # Using default include path : /export/starexec/sandbox/benchmark
% 0.19/0.48 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.19/0.48 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.19/0.54 # hasConjecture: true isFOF: true
% 0.19/0.54 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.54 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 3.24/1.72 # -----------------
% 3.24/1.72 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.72
% 3.24/1.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.72 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.72 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.72 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.72 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.72 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.72 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.72 cnf(cnf5,negated_conjecture,~h(skf6)|~g(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.72 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.72 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.72 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.72 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.72 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.72 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.72 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.72 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.72 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.72 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.72 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.72 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.72 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.72 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.72 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.72 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.72 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.73 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.73 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf7,negated_conjecture,~f(X1)|~h(X1)|g(X1),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf6,negated_conjecture,~f(X3)|g(X3)|~f(X4)|h(X4),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 cnf(c1,plain,~f(X5)|g(X5)|h(X5),inference(factor, status(thm), [cnf6])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.73 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.73 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.73 cnf(c18,plain,g(skf7)|h(skf7),inference(resolution, status(thm), [c12, c1])).
% 3.24/1.73 cnf(c24,plain,g(skf7)|~f(skf7),inference(resolution, status(thm), [c18, cnf7])).
% 3.24/1.73 cnf(c30,plain,g(skf7),inference(resolution, status(thm), [c24, c12])).
% 3.24/1.73 cnf(c35,plain,~h(skf6),inference(resolution, status(thm), [c30, cnf5])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf1,negated_conjecture,f(skf6)|~g(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.73 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.73 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf7,negated_conjecture,~f(X1)|~h(X1)|g(X1),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf6,negated_conjecture,~f(X3)|g(X3)|~f(X4)|h(X4),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 cnf(c1,plain,~f(X5)|g(X5)|h(X5),inference(factor, status(thm), [cnf6])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.73 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.73 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.73 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.73 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.73 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.73 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.73 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.73 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.74 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.74 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.74 cnf(c18,plain,g(skf7)|h(skf7),inference(resolution, status(thm), [c12, c1])).
% 3.24/1.74 cnf(c24,plain,g(skf7)|~f(skf7),inference(resolution, status(thm), [c18, cnf7])).
% 3.24/1.74 cnf(c30,plain,g(skf7),inference(resolution, status(thm), [c24, c12])).
% 3.24/1.74 cnf(c37,plain,f(skf6),inference(resolution, status(thm), [c30, cnf1])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf3,negated_conjecture,g(skf6)|~g(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.74 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.74 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf7,negated_conjecture,~f(X1)|~h(X1)|g(X1),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf6,negated_conjecture,~f(X3)|g(X3)|~f(X4)|h(X4),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 cnf(c1,plain,~f(X5)|g(X5)|h(X5),inference(factor, status(thm), [cnf6])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf4,negated_conjecture,~h(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf0,negated_conjecture,f(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf2,negated_conjecture,g(skf6)|f(skf7),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 fof(prove_this,conjecture,((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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).
% 3.24/1.74 fof(f1,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&(~g(X)))))&((![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])).
% 3.24/1.74 fof(f4,negated_conjecture,(~((((![X]:((f(X)&g(X))=>h(X)))=>(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f5,negated_conjecture,((((?[X]:((f(X)&g(X))&~h(X)))|(?[X]:(f(X)&~g(X))))&((![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])).
% 3.24/1.74 fof(f6,negated_conjecture,((((?[VAR0]:((f(VAR0)&g(VAR0))&~h(VAR0)))|(?[VAR1]:(f(VAR1)&~g(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(variable_rename, status(thm), [f5])).
% 3.24/1.74 fof(f7,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((![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])).
% 3.24/1.74 fof(f8,negated_conjecture,(((((f(skf6)&g(skf6))&~h(skf6))|(f(skf7)&~g(skf7)))&((~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])).
% 3.24/1.74 fof(f9,negated_conjecture,((((((f(skf6)|f(skf7))&(f(skf6)|~g(skf7)))&((g(skf6)|f(skf7))&(g(skf6)|~g(skf7))))&((~h(skf6)|f(skf7))&(~h(skf6)|~g(skf7))))&((~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])).
% 3.24/1.74 cnf(cnf8,negated_conjecture,~f(X2)|~g(X2)|h(X2),inference(split_conjunct, status(thm), [f9])).
% 3.24/1.74 cnf(c0,plain,~f(skf6)|h(skf6)|f(skf7),inference(resolution, status(thm), [cnf8, cnf2])).
% 3.24/1.74 cnf(c8,plain,h(skf6)|f(skf7),inference(resolution, status(thm), [c0, cnf0])).
% 3.24/1.74 cnf(c12,plain,f(skf7),inference(resolution, status(thm), [c8, cnf4])).
% 3.24/1.74 cnf(c18,plain,g(skf7)|h(skf7),inference(resolution, status(thm), [c12, c1])).
% 3.24/1.74 cnf(c24,plain,g(skf7)|~f(skf7),inference(resolution, status(thm), [c18, cnf7])).
% 3.24/1.74 cnf(c30,plain,g(skf7),inference(resolution, status(thm), [c24, c12])).
% 3.24/1.74 cnf(c36,plain,g(skf6),inference(resolution, status(thm), [c30, cnf3])).
% 3.24/1.74 cnf(c39,plain,~f(skf6)|h(skf6),inference(resolution, status(thm), [c36, cnf8])).
% 3.24/1.74 cnf(c45,plain,h(skf6),inference(resolution, status(thm), [c39, c37])).
% 3.24/1.74 cnf(c48,plain,$false,inference(resolution, status(thm), [c45, c35])).
% 3.24/1.74 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.74 # Filename : /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.74 # Indexed : true
% 3.24/1.74 # Eval function name : PickGiven5
% 3.24/1.74 # Initial clauses : 9
% 3.24/1.74 # Processed clauses : 24
% 3.24/1.74 # Factors computed : 1
% 3.24/1.74 # Resolvents computed: 48
% 3.24/1.74 # Tautologies deleted: 0
% 3.24/1.74 # Forward subsumed : 16
% 3.24/1.74 # Backward subsumed : 23
% 3.24/1.74 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/1.74 # SZS Expected : Theorem
% 3.24/1.74 # time : 1175ms
% 3.24/1.74
%------------------------------------------------------------------------------