%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET879+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 17:40:17 EDT 2024
% Result : Theorem 0.70s 0.90s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:05:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.70/0.90 % Version: 1.5
% 0.70/0.90 % SZS status Theorem
% 0.70/0.90 % SZS output start CNFRefutation
% 0.70/0.90 cnf(reflexivity,axiom,X19=X19,theory(equality)).
% 0.70/0.90 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.70/0.90 fof(c24,plain,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,[status(thm)],[d1_tarski])).
% 0.70/0.90 fof(c25,plain,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,[status(thm)],[c24])).
% 0.70/0.90 fof(c26,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|X16!=X14)&(in(X16,X15)|X16=X14)))|X15=singleton(X14))))),inference(variable_rename,[status(thm)],[c25])).
% 0.70/0.90 fof(c28,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=singleton(X10)|((~in(X12,X11)|X12=X10)&(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))),inference(skolemize,[status(esa)],[c26])).])).
% 0.70/0.90 fof(c29,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=singleton(X10)|(~in(X12,X11)|X12=X10))&(X11!=singleton(X10)|(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)|X15=singleton(X14))&((in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14)|X15=singleton(X14)))))))))),inference(distribute,[status(thm)],[c28])).
% 0.70/0.90 cnf(c31,plain,X44!=singleton(X45)|X43!=X45|in(X43,X44),inference(split_conjunct,[status(thm)],[c29])).
% 0.70/0.90 cnf(c45,plain,X51!=X50|in(X51,singleton(X50)),inference(resolution,[status(thm)],[c31, reflexivity])).
% 0.70/0.90 fof(t20_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),singleton(B))=singleton(A)<=>A!=B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_zfmisc_1)).
% 0.70/0.90 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),singleton(B))=singleton(A)<=>A!=B)))),inference(assume_negation,[status(cth)],[t20_zfmisc_1])).
% 0.70/0.90 fof(c5,negated_conjecture,(?[A]:(?[B]:((set_difference(singleton(A),singleton(B))!=singleton(A)|A=B)&(set_difference(singleton(A),singleton(B))=singleton(A)|A!=B)))),inference(fof_nnf,[status(thm)],[c4])).
% 0.70/0.90 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((set_difference(singleton(X2),singleton(X3))!=singleton(X2)|X2=X3)&(set_difference(singleton(X2),singleton(X3))=singleton(X2)|X2!=X3)))),inference(variable_rename,[status(thm)],[c5])).
% 0.70/0.90 fof(c7,negated_conjecture,((set_difference(singleton(skolem0001),singleton(skolem0002))!=singleton(skolem0001)|skolem0001=skolem0002)&(set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)|skolem0001!=skolem0002)),inference(skolemize,[status(esa)],[c6])).
% 0.70/0.90 cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))!=singleton(skolem0001)|skolem0001=skolem0002,inference(split_conjunct,[status(thm)],[c7])).
% 0.70/0.90 cnf(c30,plain,X39!=singleton(X40)|~in(X38,X39)|X38=X40,inference(split_conjunct,[status(thm)],[c29])).
% 0.70/0.90 cnf(c44,plain,~in(X42,singleton(X41))|X42=X41,inference(resolution,[status(thm)],[c30, reflexivity])).
% 0.70/0.90 fof(l34_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l34_zfmisc_1)).
% 0.70/0.90 fof(c17,plain,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,[status(thm)],[l34_zfmisc_1])).
% 0.70/0.90 fof(c18,plain,(![A]:(![B]:((set_difference(singleton(A),B)!=singleton(A)|~in(A,B))&(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(fof_nnf,[status(thm)],[c17])).
% 0.70/0.90 fof(c19,plain,((![A]:(![B]:(set_difference(singleton(A),B)!=singleton(A)|~in(A,B))))&(![A]:(![B]:(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(shift_quantors,[status(thm)],[c18])).
% 0.70/0.90 fof(c21,plain,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=singleton(X6)|~in(X6,X7))&(in(X8,X9)|set_difference(singleton(X8),X9)=singleton(X8))))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=singleton(X6)|~in(X6,X7))))&(![X8]:(![X9]:(in(X8,X9)|set_difference(singleton(X8),X9)=singleton(X8))))),inference(variable_rename,[status(thm)],[c19])).])).
% 0.70/0.90 cnf(c23,plain,in(X75,X76)|set_difference(singleton(X75),X76)=singleton(X75),inference(split_conjunct,[status(thm)],[c21])).
% 0.70/0.90 cnf(c57,plain,set_difference(singleton(X109),singleton(X108))=singleton(X109)|X109=X108,inference(resolution,[status(thm)],[c23, c44])).
% 0.70/0.90 cnf(c179,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c57, c8])).
% 0.70/0.90 cnf(c198,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c179, c45])).
% 0.70/0.90 cnf(c22,plain,set_difference(singleton(X74),X73)!=singleton(X74)|~in(X74,X73),inference(split_conjunct,[status(thm)],[c21])).
% 0.70/0.90 cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)|skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c7])).
% 0.70/0.90 cnf(c182,plain,set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001),inference(resolution,[status(thm)],[c57, c9])).
% 0.70/0.90 cnf(c1388,plain,~in(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c182, c22])).
% 0.70/0.90 cnf(c1403,plain,$false,inference(resolution,[status(thm)],[c1388, c198])).
% 0.70/0.90 % SZS output end CNFRefutation
% 0.70/0.90
% 0.70/0.90 % Initial clauses : 18
% 0.70/0.90 % Processed clauses : 136
% 0.70/0.90 % Factors computed : 5
% 0.70/0.90 % Resolvents computed: 1367
% 0.70/0.90 % Tautologies deleted: 4
% 0.70/0.90 % Forward subsumed : 121
% 0.70/0.90 % Backward subsumed : 2
% 0.70/0.90 % -------- CPU Time ---------
% 0.70/0.90 % User time : 0.513 s
% 0.70/0.90 % System time : 0.017 s
% 0.70/0.90 % Total time : 0.530 s
%------------------------------------------------------------------------------