TSTP Solution File: SET954+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET954+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 : 300s
% DateTime : Thu May 9 17:40:25 EDT 2024
% Result : Theorem 0.37s 0.58s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET954+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 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 : 300
% 0.13/0.34 % DateTime : Wed May 8 18:16:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.37/0.58 % Version: 1.5
% 0.37/0.58 % SZS status Theorem
% 0.37/0.58 % SZS output start CNFRefutation
% 0.37/0.58 fof(t107_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))=>in(ordered_pair(B,A),cartesian_product2(D,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t107_zfmisc_1)).
% 0.37/0.58 fof(c6,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))=>in(ordered_pair(B,A),cartesian_product2(D,C)))))))),inference(assume_negation,[status(cth)],[t107_zfmisc_1])).
% 0.37/0.58 fof(c7,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(in(ordered_pair(A,B),cartesian_product2(C,D))&~in(ordered_pair(B,A),cartesian_product2(D,C))))))),inference(fof_nnf,[status(thm)],[c6])).
% 0.37/0.58 fof(c8,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(in(ordered_pair(X2,X3),cartesian_product2(X4,X5))&~in(ordered_pair(X3,X2),cartesian_product2(X5,X4))))))),inference(variable_rename,[status(thm)],[c7])).
% 0.37/0.58 fof(c9,negated_conjecture,(in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004))&~in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003))),inference(skolemize,[status(esa)],[c8])).
% 0.37/0.58 cnf(c11,negated_conjecture,~in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003)),inference(split_conjunct,[status(thm)],[c9])).
% 0.37/0.58 cnf(c10,negated_conjecture,in(ordered_pair(skolem0001,skolem0002),cartesian_product2(skolem0003,skolem0004)),inference(split_conjunct,[status(thm)],[c9])).
% 0.37/0.58 fof(l55_zfmisc_1,axiom,(![A]:(![B]:(![C]:(![D]:(in(ordered_pair(A,B),cartesian_product2(C,D))<=>(in(A,C)&in(B,D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 0.37/0.58 fof(c19,plain,(![A]:(![B]:(![C]:(![D]:((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(fof_nnf,[status(thm)],[l55_zfmisc_1])).
% 0.37/0.58 fof(c20,plain,((![A]:(![B]:(![C]:(![D]:(~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))))))&(![A]:(![B]:(![C]:(![D]:((~in(A,C)|~in(B,D))|in(ordered_pair(A,B),cartesian_product2(C,D)))))))),inference(shift_quantors,[status(thm)],[c19])).
% 0.37/0.58 fof(c22,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(shift_quantors,[status(thm)],[fof(c21,plain,((![X8]:(![X9]:(![X10]:(![X11]:(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|(in(X8,X10)&in(X9,X11)))))))&(![X12]:(![X13]:(![X14]:(![X15]:((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))),inference(variable_rename,[status(thm)],[c20])).])).
% 0.37/0.58 fof(c23,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X8,X10))&(~in(ordered_pair(X8,X9),cartesian_product2(X10,X11))|in(X9,X11)))&((~in(X12,X14)|~in(X13,X15))|in(ordered_pair(X12,X13),cartesian_product2(X14,X15)))))))))))),inference(distribute,[status(thm)],[c22])).
% 0.37/0.58 cnf(c25,plain,~in(ordered_pair(X68,X70),cartesian_product2(X69,X67))|in(X70,X67),inference(split_conjunct,[status(thm)],[c23])).
% 0.37/0.58 cnf(c60,plain,in(skolem0002,skolem0004),inference(resolution,[status(thm)],[c25, c10])).
% 0.37/0.58 cnf(c24,plain,~in(ordered_pair(X60,X62),cartesian_product2(X61,X59))|in(X60,X61),inference(split_conjunct,[status(thm)],[c23])).
% 0.37/0.58 cnf(c55,plain,in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c24, c10])).
% 0.37/0.58 cnf(c26,plain,~in(X86,X87)|~in(X89,X88)|in(ordered_pair(X86,X89),cartesian_product2(X87,X88)),inference(split_conjunct,[status(thm)],[c23])).
% 0.37/0.58 cnf(c72,plain,~in(X156,X155)|in(ordered_pair(X156,skolem0001),cartesian_product2(X155,skolem0003)),inference(resolution,[status(thm)],[c26, c55])).
% 0.37/0.58 cnf(c227,plain,in(ordered_pair(skolem0002,skolem0001),cartesian_product2(skolem0004,skolem0003)),inference(resolution,[status(thm)],[c72, c60])).
% 0.37/0.58 cnf(c233,plain,$false,inference(resolution,[status(thm)],[c227, c11])).
% 0.37/0.58 % SZS output end CNFRefutation
% 0.37/0.58
% 0.37/0.58 % Initial clauses : 20
% 0.37/0.58 % Processed clauses : 55
% 0.37/0.58 % Factors computed : 6
% 0.37/0.58 % Resolvents computed: 194
% 0.37/0.58 % Tautologies deleted: 3
% 0.37/0.58 % Forward subsumed : 22
% 0.37/0.58 % Backward subsumed : 0
% 0.37/0.58 % -------- CPU Time ---------
% 0.37/0.58 % User time : 0.224 s
% 0.37/0.58 % System time : 0.015 s
% 0.37/0.58 % Total time : 0.239 s
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