%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET901+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:40:19 EDT 2024
% Result : Theorem 17.97s 18.13s
% Output : Refutation 17.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET901+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 : n026.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 18:59:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 17.97/18.13 % Version: 1.5
% 17.97/18.13 % SZS status Theorem
% 17.97/18.13 % SZS output start CNFRefutation
% 17.97/18.13 fof(l46_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l46_zfmisc_1)).
% 17.97/18.13 fof(c4,plain,(![A]:(![B]:(![C]:((~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C)))&((((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))|subset(A,unordered_pair(B,C))))))),inference(fof_nnf,[status(thm)],[l46_zfmisc_1])).
% 17.97/18.13 fof(c5,plain,((![A]:(![B]:(![C]:(~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))))&(![A]:(![B]:(![C]:((((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))|subset(A,unordered_pair(B,C))))))),inference(shift_quantors,[status(thm)],[c4])).
% 17.97/18.13 fof(c7,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4)))&((((X5!=empty_set&X5!=singleton(X6))&X5!=singleton(X7))&X5!=unordered_pair(X6,X7))|subset(X5,unordered_pair(X6,X7)))))))))),inference(shift_quantors,[status(thm)],[fof(c6,plain,((![X2]:(![X3]:(![X4]:(~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4))))))&(![X5]:(![X6]:(![X7]:((((X5!=empty_set&X5!=singleton(X6))&X5!=singleton(X7))&X5!=unordered_pair(X6,X7))|subset(X5,unordered_pair(X6,X7))))))),inference(variable_rename,[status(thm)],[c5])).])).
% 17.97/18.13 fof(c8,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4)))&((((X5!=empty_set|subset(X5,unordered_pair(X6,X7)))&(X5!=singleton(X6)|subset(X5,unordered_pair(X6,X7))))&(X5!=singleton(X7)|subset(X5,unordered_pair(X6,X7))))&(X5!=unordered_pair(X6,X7)|subset(X5,unordered_pair(X6,X7))))))))))),inference(distribute,[status(thm)],[c7])).
% 17.97/18.13 cnf(c13,plain,X77!=unordered_pair(X75,X76)|subset(X77,unordered_pair(X75,X76)),inference(split_conjunct,[status(thm)],[c8])).
% 17.97/18.13 fof(t42_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t42_zfmisc_1)).
% 17.97/18.13 fof(c14,negated_conjecture,(~(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C)))))))),inference(assume_negation,[status(cth)],[t42_zfmisc_1])).
% 17.97/18.13 fof(c15,negated_conjecture,(?[A]:(?[B]:(?[C]:((~subset(A,unordered_pair(B,C))|(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C)))&(subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))))),inference(fof_nnf,[status(thm)],[c14])).
% 17.97/18.13 fof(c16,negated_conjecture,(?[X8]:(?[X9]:(?[X10]:((~subset(X8,unordered_pair(X9,X10))|(((X8!=empty_set&X8!=singleton(X9))&X8!=singleton(X10))&X8!=unordered_pair(X9,X10)))&(subset(X8,unordered_pair(X9,X10))|(((X8=empty_set|X8=singleton(X9))|X8=singleton(X10))|X8=unordered_pair(X9,X10))))))),inference(variable_rename,[status(thm)],[c15])).
% 17.97/18.13 fof(c17,negated_conjecture,((~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001!=empty_set&skolem0001!=singleton(skolem0002))&skolem0001!=singleton(skolem0003))&skolem0001!=unordered_pair(skolem0002,skolem0003)))&(subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001=empty_set|skolem0001=singleton(skolem0002))|skolem0001=singleton(skolem0003))|skolem0001=unordered_pair(skolem0002,skolem0003)))),inference(skolemize,[status(esa)],[c16])).
% 17.97/18.13 fof(c18,negated_conjecture,(((((~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=empty_set)&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0002)))&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0003)))&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=unordered_pair(skolem0002,skolem0003)))&(subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001=empty_set|skolem0001=singleton(skolem0002))|skolem0001=singleton(skolem0003))|skolem0001=unordered_pair(skolem0002,skolem0003)))),inference(distribute,[status(thm)],[c17])).
% 17.97/18.13 cnf(c23,negated_conjecture,subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|skolem0001=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c18])).
% 17.97/18.13 cnf(c153,plain,subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003),inference(resolution,[status(thm)],[c23, c13])).
% 17.97/18.13 cnf(c22,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c18])).
% 17.97/18.13 cnf(c9,plain,~subset(X72,unordered_pair(X70,X71))|X72=empty_set|X72=singleton(X70)|X72=singleton(X71)|X72=unordered_pair(X70,X71),inference(split_conjunct,[status(thm)],[c8])).
% 17.97/18.13 cnf(c110,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|skolem0001=unordered_pair(skolem0002,skolem0003),inference(resolution,[status(thm)],[c23, c9])).
% 17.97/18.13 cnf(c560,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|~subset(skolem0001,unordered_pair(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c110, c22])).
% 17.97/18.13 cnf(c20275,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003),inference(resolution,[status(thm)],[c560, c153])).
% 17.97/18.13 cnf(c20,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0002),inference(split_conjunct,[status(thm)],[c18])).
% 17.97/18.13 cnf(c11,plain,X50!=singleton(X48)|subset(X50,unordered_pair(X48,X49)),inference(split_conjunct,[status(thm)],[c8])).
% 17.97/18.13 cnf(c20332,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003)|subset(skolem0001,unordered_pair(skolem0002,X6121)),inference(resolution,[status(thm)],[c20275, c11])).
% 17.97/18.13 cnf(c27702,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003)|skolem0001!=singleton(skolem0002),inference(resolution,[status(thm)],[c20332, c20])).
% 17.97/18.13 cnf(c27732,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003),inference(resolution,[status(thm)],[c27702, c20275])).
% 17.97/18.13 cnf(c21,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0003),inference(split_conjunct,[status(thm)],[c18])).
% 17.97/18.13 cnf(c12,plain,X55!=singleton(X54)|subset(X55,unordered_pair(X53,X54)),inference(split_conjunct,[status(thm)],[c8])).
% 17.97/18.13 cnf(c27772,plain,skolem0001=empty_set|subset(skolem0001,unordered_pair(X6137,skolem0003)),inference(resolution,[status(thm)],[c27732, c12])).
% 17.97/18.13 cnf(c29333,plain,skolem0001=empty_set|skolem0001!=singleton(skolem0003),inference(resolution,[status(thm)],[c27772, c21])).
% 17.97/18.13 cnf(c29370,plain,skolem0001=empty_set,inference(resolution,[status(thm)],[c29333, c27732])).
% 17.97/18.13 cnf(c19,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=empty_set,inference(split_conjunct,[status(thm)],[c18])).
% 17.97/18.13 cnf(c10,plain,X39!=empty_set|subset(X39,unordered_pair(X37,X38)),inference(split_conjunct,[status(thm)],[c8])).
% 17.97/18.13 cnf(c29684,plain,subset(skolem0001,unordered_pair(X6145,X6144)),inference(resolution,[status(thm)],[c29370, c10])).
% 17.97/18.13 cnf(c29928,plain,skolem0001!=empty_set,inference(resolution,[status(thm)],[c29684, c19])).
% 17.97/18.13 cnf(c29933,plain,$false,inference(resolution,[status(thm)],[c29928, c29370])).
% 17.97/18.13 % SZS output end CNFRefutation
% 17.97/18.13
% 17.97/18.13 % Initial clauses : 22
% 17.97/18.13 % Processed clauses : 642
% 17.97/18.13 % Factors computed : 15
% 17.97/18.13 % Resolvents computed: 29882
% 17.97/18.13 % Tautologies deleted: 11
% 17.97/18.13 % Forward subsumed : 1281
% 17.97/18.13 % Backward subsumed : 220
% 17.97/18.13 % -------- CPU Time ---------
% 17.97/18.13 % User time : 17.665 s
% 17.97/18.13 % System time : 0.119 s
% 17.97/18.13 % Total time : 17.784 s
%------------------------------------------------------------------------------