TSTP Solution File: SET930+1 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET930+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:40:23 EDT 2024
% Result : Theorem 23.67s 23.91s
% Output : Refutation 23.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET930+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:22:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 23.67/23.91 % Version: 1.5
% 23.67/23.91 % SZS status Theorem
% 23.67/23.91 % SZS output start CNFRefutation
% 23.67/23.91 fof(t74_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(~(((set_difference(unordered_pair(A,B),C)!=empty_set&set_difference(unordered_pair(A,B),C)!=singleton(A))&set_difference(unordered_pair(A,B),C)!=singleton(B))&set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t74_zfmisc_1)).
% 23.67/23.91 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(~(((set_difference(unordered_pair(A,B),C)!=empty_set&set_difference(unordered_pair(A,B),C)!=singleton(A))&set_difference(unordered_pair(A,B),C)!=singleton(B))&set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B))))))),inference(assume_negation,[status(cth)],[t74_zfmisc_1])).
% 23.67/23.91 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:(((set_difference(unordered_pair(A,B),C)!=empty_set&set_difference(unordered_pair(A,B),C)!=singleton(A))&set_difference(unordered_pair(A,B),C)!=singleton(B))&set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B))))),inference(fof_nnf,[status(thm)],[c5])).
% 23.67/23.91 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((set_difference(unordered_pair(X2,X3),X4)!=empty_set&set_difference(unordered_pair(X2,X3),X4)!=singleton(X2))&set_difference(unordered_pair(X2,X3),X4)!=singleton(X3))&set_difference(unordered_pair(X2,X3),X4)!=unordered_pair(X2,X3))))),inference(variable_rename,[status(thm)],[c6])).
% 23.67/23.91 fof(c8,negated_conjecture,(((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=empty_set&set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001))&set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0002))&set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=unordered_pair(skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c7])).
% 23.67/23.91 cnf(c9,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 23.67/23.91 cnf(symmetry,axiom,X31!=X30|X30=X31,theory(equality)).
% 23.67/23.91 cnf(transitivity,axiom,X33!=X32|X32!=X34|X33=X34,theory(equality)).
% 23.67/23.91 fof(commutativity_k2_tarski,axiom,(![A]:(![B]:unordered_pair(A,B)=unordered_pair(B,A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 23.67/23.91 fof(c48,plain,(![X25]:(![X26]:unordered_pair(X25,X26)=unordered_pair(X26,X25))),inference(variable_rename,[status(thm)],[commutativity_k2_tarski])).
% 23.67/23.91 cnf(c49,plain,unordered_pair(X49,X50)=unordered_pair(X50,X49),inference(split_conjunct,[status(thm)],[c48])).
% 23.67/23.91 cnf(reflexivity,axiom,X29=X29,theory(equality)).
% 23.67/23.91 cnf(c1,axiom,X58!=X55|X56!=X57|set_difference(X58,X56)=set_difference(X55,X57),theory(equality)).
% 23.67/23.91 cnf(c68,plain,X88!=X87|set_difference(X88,X86)=set_difference(X87,X86),inference(resolution,[status(thm)],[c1, reflexivity])).
% 23.67/23.91 cnf(c89,plain,set_difference(unordered_pair(X109,X107),X108)=set_difference(unordered_pair(X107,X109),X108),inference(resolution,[status(thm)],[c68, c49])).
% 23.67/23.91 cnf(c104,plain,X416!=set_difference(unordered_pair(X419,X418),X417)|X416=set_difference(unordered_pair(X418,X419),X417),inference(resolution,[status(thm)],[c89, transitivity])).
% 23.67/23.91 fof(t73_zfmisc_1,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=empty_set<=>(in(A,C)&in(B,C)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t73_zfmisc_1)).
% 23.67/23.91 fof(c13,plain,(![A]:(![B]:(![C]:((set_difference(unordered_pair(A,B),C)!=empty_set|(in(A,C)&in(B,C)))&((~in(A,C)|~in(B,C))|set_difference(unordered_pair(A,B),C)=empty_set))))),inference(fof_nnf,[status(thm)],[t73_zfmisc_1])).
% 23.67/23.91 fof(c14,plain,((![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)!=empty_set|(in(A,C)&in(B,C))))))&(![A]:(![B]:(![C]:((~in(A,C)|~in(B,C))|set_difference(unordered_pair(A,B),C)=empty_set))))),inference(shift_quantors,[status(thm)],[c13])).
% 23.67/23.91 fof(c16,plain,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((set_difference(unordered_pair(X5,X6),X7)!=empty_set|(in(X5,X7)&in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|set_difference(unordered_pair(X8,X9),X10)=empty_set)))))))),inference(shift_quantors,[status(thm)],[fof(c15,plain,((![X5]:(![X6]:(![X7]:(set_difference(unordered_pair(X5,X6),X7)!=empty_set|(in(X5,X7)&in(X6,X7))))))&(![X8]:(![X9]:(![X10]:((~in(X8,X10)|~in(X9,X10))|set_difference(unordered_pair(X8,X9),X10)=empty_set))))),inference(variable_rename,[status(thm)],[c14])).])).
% 23.67/23.91 fof(c17,plain,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(((set_difference(unordered_pair(X5,X6),X7)!=empty_set|in(X5,X7))&(set_difference(unordered_pair(X5,X6),X7)!=empty_set|in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|set_difference(unordered_pair(X8,X9),X10)=empty_set)))))))),inference(distribute,[status(thm)],[c16])).
% 23.67/23.91 cnf(c20,plain,~in(X121,X120)|~in(X119,X120)|set_difference(unordered_pair(X121,X119),X120)=empty_set,inference(split_conjunct,[status(thm)],[c17])).
% 23.67/23.91 cnf(c10,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001),inference(split_conjunct,[status(thm)],[c8])).
% 23.67/23.91 cnf(c12,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=unordered_pair(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 23.67/23.91 fof(t72_zfmisc_1,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)<=>((~in(A,C))&(~in(B,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t72_zfmisc_1)).
% 23.67/23.91 fof(c21,plain,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)<=>(~in(A,C)&~in(B,C)))))),inference(fof_simplification,[status(thm)],[t72_zfmisc_1])).
% 23.67/23.91 fof(c22,plain,(![A]:(![B]:(![C]:((set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B)|(~in(A,C)&~in(B,C)))&((in(A,C)|in(B,C))|set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)))))),inference(fof_nnf,[status(thm)],[c21])).
% 23.67/23.91 fof(c23,plain,((![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)!=unordered_pair(A,B)|(~in(A,C)&~in(B,C))))))&(![A]:(![B]:(![C]:((in(A,C)|in(B,C))|set_difference(unordered_pair(A,B),C)=unordered_pair(A,B)))))),inference(shift_quantors,[status(thm)],[c22])).
% 23.67/23.91 fof(c25,plain,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:((set_difference(unordered_pair(X11,X12),X13)!=unordered_pair(X11,X12)|(~in(X11,X13)&~in(X12,X13)))&((in(X14,X16)|in(X15,X16))|set_difference(unordered_pair(X14,X15),X16)=unordered_pair(X14,X15))))))))),inference(shift_quantors,[status(thm)],[fof(c24,plain,((![X11]:(![X12]:(![X13]:(set_difference(unordered_pair(X11,X12),X13)!=unordered_pair(X11,X12)|(~in(X11,X13)&~in(X12,X13))))))&(![X14]:(![X15]:(![X16]:((in(X14,X16)|in(X15,X16))|set_difference(unordered_pair(X14,X15),X16)=unordered_pair(X14,X15)))))),inference(variable_rename,[status(thm)],[c23])).])).
% 23.67/23.91 fof(c26,plain,(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(((set_difference(unordered_pair(X11,X12),X13)!=unordered_pair(X11,X12)|~in(X11,X13))&(set_difference(unordered_pair(X11,X12),X13)!=unordered_pair(X11,X12)|~in(X12,X13)))&((in(X14,X16)|in(X15,X16))|set_difference(unordered_pair(X14,X15),X16)=unordered_pair(X14,X15))))))))),inference(distribute,[status(thm)],[c25])).
% 23.67/23.91 cnf(c29,plain,in(X155,X154)|in(X153,X154)|set_difference(unordered_pair(X155,X153),X154)=unordered_pair(X155,X153),inference(split_conjunct,[status(thm)],[c26])).
% 23.67/23.91 cnf(c165,plain,in(skolem0001,skolem0003)|in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c29, c12])).
% 23.67/23.91 fof(l39_zfmisc_1,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l39_zfmisc_1)).
% 23.67/23.91 fof(c37,plain,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>(~in(A,C)&(in(B,C)|A=B)))))),inference(fof_simplification,[status(thm)],[l39_zfmisc_1])).
% 23.67/23.91 fof(c38,plain,(![A]:(![B]:(![C]:((set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B)))&((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(fof_nnf,[status(thm)],[c37])).
% 23.67/23.91 fof(c39,plain,((![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B))))))&(![A]:(![B]:(![C]:((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(shift_quantors,[status(thm)],[c38])).
% 23.67/23.91 fof(c41,plain,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((set_difference(unordered_pair(X19,X20),X21)!=singleton(X19)|(~in(X19,X21)&(in(X20,X21)|X19=X20)))&((in(X22,X24)|(~in(X23,X24)&X22!=X23))|set_difference(unordered_pair(X22,X23),X24)=singleton(X22))))))))),inference(shift_quantors,[status(thm)],[fof(c40,plain,((![X19]:(![X20]:(![X21]:(set_difference(unordered_pair(X19,X20),X21)!=singleton(X19)|(~in(X19,X21)&(in(X20,X21)|X19=X20))))))&(![X22]:(![X23]:(![X24]:((in(X22,X24)|(~in(X23,X24)&X22!=X23))|set_difference(unordered_pair(X22,X23),X24)=singleton(X22)))))),inference(variable_rename,[status(thm)],[c39])).])).
% 23.67/23.91 fof(c42,plain,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(((set_difference(unordered_pair(X19,X20),X21)!=singleton(X19)|~in(X19,X21))&(set_difference(unordered_pair(X19,X20),X21)!=singleton(X19)|(in(X20,X21)|X19=X20)))&(((in(X22,X24)|~in(X23,X24))|set_difference(unordered_pair(X22,X23),X24)=singleton(X22))&((in(X22,X24)|X22!=X23)|set_difference(unordered_pair(X22,X23),X24)=singleton(X22)))))))))),inference(distribute,[status(thm)],[c41])).
% 23.67/23.91 cnf(c45,plain,in(X176,X174)|~in(X175,X174)|set_difference(unordered_pair(X176,X175),X174)=singleton(X176),inference(split_conjunct,[status(thm)],[c42])).
% 23.67/23.91 cnf(c220,plain,in(X1318,skolem0003)|set_difference(unordered_pair(X1318,skolem0002),skolem0003)=singleton(X1318)|in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c45, c165])).
% 23.67/23.91 cnf(c9116,plain,in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c220, c10])).
% 23.67/23.91 cnf(c9183,plain,~in(X1461,skolem0003)|set_difference(unordered_pair(X1461,skolem0001),skolem0003)=empty_set,inference(resolution,[status(thm)],[c9116, c20])).
% 23.67/23.91 cnf(c11,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 23.67/23.91 cnf(c9191,plain,in(X2495,skolem0003)|set_difference(unordered_pair(X2495,skolem0001),skolem0003)=singleton(X2495),inference(resolution,[status(thm)],[c9116, c45])).
% 23.67/23.91 cnf(c30615,plain,in(X2863,skolem0003)|singleton(X2863)=set_difference(unordered_pair(X2863,skolem0001),skolem0003),inference(resolution,[status(thm)],[c9191, symmetry])).
% 23.67/23.91 cnf(c38815,plain,in(X3031,skolem0003)|singleton(X3031)=set_difference(unordered_pair(skolem0001,X3031),skolem0003),inference(resolution,[status(thm)],[c30615, c104])).
% 23.67/23.91 cnf(c42412,plain,in(X3084,skolem0003)|set_difference(unordered_pair(skolem0001,X3084),skolem0003)=singleton(X3084),inference(resolution,[status(thm)],[c38815, symmetry])).
% 23.67/23.91 cnf(c43384,plain,in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c42412, c11])).
% 23.67/23.91 cnf(c43523,plain,set_difference(unordered_pair(skolem0002,skolem0001),skolem0003)=empty_set,inference(resolution,[status(thm)],[c43384, c9183])).
% 23.67/23.91 cnf(c43910,plain,empty_set=set_difference(unordered_pair(skolem0002,skolem0001),skolem0003),inference(resolution,[status(thm)],[c43523, symmetry])).
% 23.67/23.91 cnf(c44173,plain,empty_set=set_difference(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c43910, c104])).
% 23.67/23.91 cnf(c44524,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set,inference(resolution,[status(thm)],[c44173, symmetry])).
% 23.67/23.91 cnf(c44987,plain,$false,inference(resolution,[status(thm)],[c44524, c9])).
% 23.67/23.91 % SZS output end CNFRefutation
% 23.67/23.91
% 23.67/23.91 % Initial clauses : 27
% 23.67/23.91 % Processed clauses : 814
% 23.67/23.91 % Factors computed : 28
% 23.67/23.91 % Resolvents computed: 44909
% 23.67/23.91 % Tautologies deleted: 36
% 23.67/23.91 % Forward subsumed : 1125
% 23.67/23.91 % Backward subsumed : 24
% 23.67/23.91 % -------- CPU Time ---------
% 23.67/23.91 % User time : 23.410 s
% 23.67/23.91 % System time : 0.101 s
% 23.67/23.91 % Total time : 23.511 s
%------------------------------------------------------------------------------