%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET941+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:40:24 EDT 2024
% Result : Theorem 44.07s 44.23s
% Output : Refutation 44.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET941+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n005.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 18:19:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 44.07/44.23 % Version: 1.5
% 44.07/44.23 % SZS status Theorem
% 44.07/44.23 % SZS output start CNFRefutation
% 44.07/44.23 fof(t94_zfmisc_1,conjecture,(![A]:(![B]:((![C]:(in(C,A)=>subset(C,B)))=>subset(union(A),B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t94_zfmisc_1)).
% 44.07/44.23 fof(c4,negated_conjecture,(~(![A]:(![B]:((![C]:(in(C,A)=>subset(C,B)))=>subset(union(A),B))))),inference(assume_negation,[status(cth)],[t94_zfmisc_1])).
% 44.07/44.23 fof(c5,negated_conjecture,(?[A]:(?[B]:((![C]:(~in(C,A)|subset(C,B)))&~subset(union(A),B)))),inference(fof_nnf,[status(thm)],[c4])).
% 44.07/44.23 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((![X4]:(~in(X4,X2)|subset(X4,X3)))&~subset(union(X2),X3)))),inference(variable_rename,[status(thm)],[c5])).
% 44.07/44.23 fof(c8,negated_conjecture,(![X4]:((~in(X4,skolem0001)|subset(X4,skolem0002))&~subset(union(skolem0001),skolem0002))),inference(shift_quantors,[status(thm)],[fof(c7,negated_conjecture,((![X4]:(~in(X4,skolem0001)|subset(X4,skolem0002)))&~subset(union(skolem0001),skolem0002)),inference(skolemize,[status(esa)],[c6])).])).
% 44.07/44.23 cnf(c10,negated_conjecture,~subset(union(skolem0001),skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 44.07/44.23 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 44.07/44.23 fof(c33,plain,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[d3_tarski])).
% 44.07/44.23 fof(c34,plain,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c33])).
% 44.07/44.23 fof(c35,plain,((![X19]:(![X20]:(~subset(X19,X20)|(![X21]:(~in(X21,X19)|in(X21,X20))))))&(![X22]:(![X23]:((?[X24]:(in(X24,X22)&~in(X24,X23)))|subset(X22,X23))))),inference(variable_rename,[status(thm)],[c34])).
% 44.07/44.23 fof(c37,plain,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:((~subset(X19,X20)|(~in(X21,X19)|in(X21,X20)))&((in(skolem0008(X22,X23),X22)&~in(skolem0008(X22,X23),X23))|subset(X22,X23)))))))),inference(shift_quantors,[status(thm)],[fof(c36,plain,((![X19]:(![X20]:(~subset(X19,X20)|(![X21]:(~in(X21,X19)|in(X21,X20))))))&(![X22]:(![X23]:((in(skolem0008(X22,X23),X22)&~in(skolem0008(X22,X23),X23))|subset(X22,X23))))),inference(skolemize,[status(esa)],[c35])).])).
% 44.07/44.23 fof(c38,plain,(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:((~subset(X19,X20)|(~in(X21,X19)|in(X21,X20)))&((in(skolem0008(X22,X23),X22)|subset(X22,X23))&(~in(skolem0008(X22,X23),X23)|subset(X22,X23))))))))),inference(distribute,[status(thm)],[c37])).
% 44.07/44.23 cnf(c41,plain,~in(skolem0008(X55,X54),X54)|subset(X55,X54),inference(split_conjunct,[status(thm)],[c38])).
% 44.07/44.23 cnf(c9,negated_conjecture,~in(X47,skolem0001)|subset(X47,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 44.07/44.23 cnf(c40,plain,in(skolem0008(X53,X52),X53)|subset(X53,X52),inference(split_conjunct,[status(thm)],[c38])).
% 44.07/44.23 cnf(reflexivity,axiom,X27=X27,theory(equality)).
% 44.07/44.23 fof(d4_tarski,axiom,(![A]:(![B]:(B=union(A)<=>(![C]:(in(C,B)<=>(?[D]:(in(C,D)&in(D,A)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 44.07/44.23 fof(c21,plain,(![A]:(![B]:((B!=union(A)|(![C]:((~in(C,B)|(?[D]:(in(C,D)&in(D,A))))&((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(fof_nnf,[status(thm)],[d4_tarski])).
% 44.07/44.23 fof(c22,plain,((![A]:(![B]:(B!=union(A)|((![C]:(~in(C,B)|(?[D]:(in(C,D)&in(D,A)))))&(![C]:((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(shift_quantors,[status(thm)],[c21])).
% 44.07/44.23 fof(c23,plain,((![X8]:(![X9]:(X9!=union(X8)|((![X10]:(~in(X10,X9)|(?[X11]:(in(X10,X11)&in(X11,X8)))))&(![X12]:((![X13]:(~in(X12,X13)|~in(X13,X8)))|in(X12,X9)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|(![X17]:(~in(X16,X17)|~in(X17,X14))))&(in(X16,X15)|(?[X18]:(in(X16,X18)&in(X18,X14))))))|X15=union(X14))))),inference(variable_rename,[status(thm)],[c22])).
% 44.07/44.23 fof(c25,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X15]:(![X17]:((X9!=union(X8)|((~in(X10,X9)|(in(X10,skolem0005(X8,X9,X10))&in(skolem0005(X8,X9,X10),X8)))&((~in(X12,X13)|~in(X13,X8))|in(X12,X9))))&(((~in(skolem0006(X14,X15),X15)|(~in(skolem0006(X14,X15),X17)|~in(X17,X14)))&(in(skolem0006(X14,X15),X15)|(in(skolem0006(X14,X15),skolem0007(X14,X15))&in(skolem0007(X14,X15),X14))))|X15=union(X14))))))))))),inference(shift_quantors,[status(thm)],[fof(c24,plain,((![X8]:(![X9]:(X9!=union(X8)|((![X10]:(~in(X10,X9)|(in(X10,skolem0005(X8,X9,X10))&in(skolem0005(X8,X9,X10),X8))))&(![X12]:((![X13]:(~in(X12,X13)|~in(X13,X8)))|in(X12,X9)))))))&(![X14]:(![X15]:(((~in(skolem0006(X14,X15),X15)|(![X17]:(~in(skolem0006(X14,X15),X17)|~in(X17,X14))))&(in(skolem0006(X14,X15),X15)|(in(skolem0006(X14,X15),skolem0007(X14,X15))&in(skolem0007(X14,X15),X14))))|X15=union(X14))))),inference(skolemize,[status(esa)],[c23])).])).
% 44.07/44.23 fof(c26,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X13]:(![X14]:(![X15]:(![X17]:((((X9!=union(X8)|(~in(X10,X9)|in(X10,skolem0005(X8,X9,X10))))&(X9!=union(X8)|(~in(X10,X9)|in(skolem0005(X8,X9,X10),X8))))&(X9!=union(X8)|((~in(X12,X13)|~in(X13,X8))|in(X12,X9))))&(((~in(skolem0006(X14,X15),X15)|(~in(skolem0006(X14,X15),X17)|~in(X17,X14)))|X15=union(X14))&(((in(skolem0006(X14,X15),X15)|in(skolem0006(X14,X15),skolem0007(X14,X15)))|X15=union(X14))&((in(skolem0006(X14,X15),X15)|in(skolem0007(X14,X15),X14))|X15=union(X14))))))))))))),inference(distribute,[status(thm)],[c25])).
% 44.07/44.23 cnf(c28,plain,X85!=union(X86)|~in(X87,X85)|in(skolem0005(X86,X85,X87),X86),inference(split_conjunct,[status(thm)],[c26])).
% 44.07/44.23 cnf(c75,plain,~in(X88,union(X89))|in(skolem0005(X89,union(X89),X88),X89),inference(resolution,[status(thm)],[c28, reflexivity])).
% 44.07/44.23 cnf(c76,plain,in(skolem0005(X217,union(X217),skolem0008(union(X217),X218)),X217)|subset(union(X217),X218),inference(resolution,[status(thm)],[c75, c40])).
% 44.07/44.23 cnf(c495,plain,subset(union(skolem0001),X1707)|subset(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),X1707)),skolem0002),inference(resolution,[status(thm)],[c76, c9])).
% 44.07/44.23 cnf(c39,plain,~subset(X60,X61)|~in(X59,X60)|in(X59,X61),inference(split_conjunct,[status(thm)],[c38])).
% 44.07/44.23 cnf(c27,plain,X75!=union(X76)|~in(X77,X75)|in(X77,skolem0005(X76,X75,X77)),inference(split_conjunct,[status(thm)],[c26])).
% 44.07/44.23 cnf(c65,plain,~in(X84,union(X83))|in(X84,skolem0005(X83,union(X83),X84)),inference(resolution,[status(thm)],[c27, reflexivity])).
% 44.07/44.23 cnf(c73,plain,in(skolem0008(union(X199),X200),skolem0005(X199,union(X199),skolem0008(union(X199),X200)))|subset(union(X199),X200),inference(resolution,[status(thm)],[c65, c40])).
% 44.07/44.23 cnf(c418,plain,subset(union(X2977),X2975)|~subset(skolem0005(X2977,union(X2977),skolem0008(union(X2977),X2975)),X2976)|in(skolem0008(union(X2977),X2975),X2976),inference(resolution,[status(thm)],[c73, c39])).
% 44.07/44.23 cnf(c101069,plain,subset(union(skolem0001),X2978)|in(skolem0008(union(skolem0001),X2978),skolem0002),inference(resolution,[status(thm)],[c418, c495])).
% 44.07/44.23 cnf(c101151,plain,subset(union(skolem0001),skolem0002),inference(resolution,[status(thm)],[c101069, c41])).
% 44.07/44.23 cnf(c101180,plain,$false,inference(resolution,[status(thm)],[c101151, c10])).
% 44.07/44.23 % SZS output end CNFRefutation
% 44.07/44.23
% 44.07/44.23 % Initial clauses : 22
% 44.07/44.23 % Processed clauses : 997
% 44.07/44.23 % Factors computed : 103
% 44.07/44.23 % Resolvents computed: 101079
% 44.07/44.23 % Tautologies deleted: 6
% 44.07/44.23 % Forward subsumed : 541
% 44.07/44.23 % Backward subsumed : 10
% 44.07/44.23 % -------- CPU Time ---------
% 44.07/44.23 % User time : 43.582 s
% 44.07/44.23 % System time : 0.295 s
% 44.07/44.23 % Total time : 43.877 s
%------------------------------------------------------------------------------