TSTP Solution File: SYN966+1 by JavaRes---1.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : JavaRes---1.3.0
% Problem : SYN966+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 : n002.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 18:31:56 EDT 2022
% Result : Theorem 1.31s 0.76s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN966+1 : TPTP v7.5.0. Released v3.1.0.
% 0.11/0.12 % Command : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Mar 10 18:36:08 EST 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 # Using default include path : /export/starexec/sandbox2/benchmark
% 0.18/0.47 # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # 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}
% 0.18/0.47 # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.18/0.52 # hasConjecture: true isFOF: true
% 0.18/0.52 # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.18/0.52 # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 1.31/0.76 # -----------------
% 1.31/0.76 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.76
% 1.31/0.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.76 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.31/0.76 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.31/0.76 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.31/0.76 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.31/0.76 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.31/0.76 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.31/0.76 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.31/0.76 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.31/0.76 cnf(cnf5,negated_conjecture,~eq(skf8,skf7),inference(split_conjunct, status(thm), [f9])).
% 1.31/0.76 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.31/0.76 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.31/0.76 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.31/0.76 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.31/0.76 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.31/0.76 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.31/0.76 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.31/0.76 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.31/0.76 cnf(cnf4,negated_conjecture,eq(skf7,skf8),inference(split_conjunct, status(thm), [f9])).
% 1.31/0.76 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.31/0.76 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.31/0.76 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.31/0.76 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.31/0.76 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.31/0.76 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.31/0.76 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.31/0.76 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.31/0.76 cnf(cnf0,negated_conjecture,~eq(X1,X2)|~a_member_of(X3,X1)|a_member_of(X3,X2),inference(split_conjunct, status(thm), [f9])).
% 1.31/0.76 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.31/0.76 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.31/0.76 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.31/0.76 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf5,negated_conjecture,~eq(skf8,skf7),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf4,negated_conjecture,eq(skf7,skf8),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf1,negated_conjecture,~eq(X4,X5)|~a_member_of(X6,X5)|a_member_of(X6,X4),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf3,negated_conjecture,a_member_of(skf6(X9,X10),X9)|a_member_of(skf6(X9,X10),X10)|eq(X9,X10),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 cnf(c2,plain,a_member_of(skf6(X16,X17),X17)|eq(X16,X17)|~eq(X18,X16)|a_member_of(skf6(X16,X17),X18),inference(resolution, status(thm), [cnf3, cnf1])).
% 1.48/0.77 cnf(c17,plain,a_member_of(skf6(skf8,X44),X44)|eq(skf8,X44)|a_member_of(skf6(skf8,X44),skf7),inference(resolution, status(thm), [c2, cnf4])).
% 1.48/0.77 cnf(c44,plain,a_member_of(skf6(skf8,skf7),skf7),inference(resolution, status(thm), [c17, cnf5])).
% 1.48/0.77 cnf(c51,plain,~eq(skf7,X56)|a_member_of(skf6(skf8,skf7),X56),inference(resolution, status(thm), [c44, cnf0])).
% 1.48/0.77 cnf(c86,plain,a_member_of(skf6(skf8,skf7),skf8),inference(resolution, status(thm), [c51, cnf4])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf2,negated_conjecture,~a_member_of(skf6(X7,X8),X7)|~a_member_of(skf6(X7,X8),X8)|eq(X7,X8),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf5,negated_conjecture,~eq(skf8,skf7),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf4,negated_conjecture,eq(skf7,skf8),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf1,negated_conjecture,~eq(X4,X5)|~a_member_of(X6,X5)|a_member_of(X6,X4),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 1.48/0.77 fof(f1,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation, status(cth), [prove_this])).
% 1.48/0.77 fof(f4,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(fof_simplification, status(thm), [f1])).
% 1.48/0.77 fof(f5,negated_conjecture,((![X]:(![Y]:((~eq(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf, status(thm), [f4])).
% 1.48/0.77 fof(f6,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&((?[VAR1]:((~a_member_of(VAR1,VAR3)|~a_member_of(VAR1,VAR2))&(a_member_of(VAR1,VAR3)|a_member_of(VAR1,VAR2))))|eq(VAR3,VAR2)))))&(?[VAR5]:(?[VAR4]:(eq(VAR5,VAR4)&~eq(VAR4,VAR5))))),inference(variable_rename, status(thm), [f5])).
% 1.48/0.77 fof(f7,negated_conjecture,((![VAR3]:(![VAR2]:((~eq(VAR3,VAR2)|(![VAR0]:((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3)))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(skolemize, status(esa), [f6])).
% 1.48/0.77 fof(f8,negated_conjecture,(((~eq(VAR3,VAR2)|((~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2))&(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))&(a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2)))|eq(VAR3,VAR2)))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(shift_quantors, status(thm), [f7])).
% 1.48/0.77 fof(f9,negated_conjecture,((((~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR3)|a_member_of(VAR0,VAR2)))&(~eq(VAR3,VAR2)|(~a_member_of(VAR0,VAR2)|a_member_of(VAR0,VAR3))))&(((~a_member_of(skf6(VAR3,VAR2),VAR3)|~a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))&((a_member_of(skf6(VAR3,VAR2),VAR3)|a_member_of(skf6(VAR3,VAR2),VAR2))|eq(VAR3,VAR2))))&(eq(skf7,skf8)&~eq(skf8,skf7))),inference(distribute, status(thm), [f8])).
% 1.48/0.77 cnf(cnf3,negated_conjecture,a_member_of(skf6(X9,X10),X9)|a_member_of(skf6(X9,X10),X10)|eq(X9,X10),inference(split_conjunct, status(thm), [f9])).
% 1.48/0.77 cnf(c2,plain,a_member_of(skf6(X16,X17),X17)|eq(X16,X17)|~eq(X18,X16)|a_member_of(skf6(X16,X17),X18),inference(resolution, status(thm), [cnf3, cnf1])).
% 1.48/0.77 cnf(c17,plain,a_member_of(skf6(skf8,X44),X44)|eq(skf8,X44)|a_member_of(skf6(skf8,X44),skf7),inference(resolution, status(thm), [c2, cnf4])).
% 1.48/0.77 cnf(c44,plain,a_member_of(skf6(skf8,skf7),skf7),inference(resolution, status(thm), [c17, cnf5])).
% 1.48/0.77 cnf(c50,plain,~a_member_of(skf6(skf8,skf7),skf8)|eq(skf8,skf7),inference(resolution, status(thm), [c44, cnf2])).
% 1.48/0.77 cnf(c139,plain,eq(skf8,skf7),inference(resolution, status(thm), [c50, c86])).
% 1.48/0.77 cnf(c143,plain,$false,inference(resolution, status(thm), [c139, cnf5])).
% 1.48/0.77 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.77 # Filename : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.77 # Indexed : true
% 1.48/0.77 # Eval function name : PickGiven5
% 1.48/0.77 # Initial clauses : 6
% 1.48/0.77 # Processed clauses : 26
% 1.48/0.77 # Factors computed : 16
% 1.48/0.77 # Resolvents computed: 146
% 1.48/0.77 # Tautologies deleted: 2
% 1.48/0.77 # Forward subsumed : 26
% 1.48/0.77 # Backward subsumed : 5
% 1.48/0.77 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.77 # SZS Expected : Theorem
% 1.48/0.77 # time : 238ms
% 1.48/0.77
%------------------------------------------------------------------------------