%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:40:22 EDT 2024
% Result : Theorem 0.89s 1.06s
% Output : Refutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:13:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.89/1.06 % Version: 1.5
% 0.89/1.06 % SZS status Theorem
% 0.89/1.06 % SZS output start CNFRefutation
% 0.89/1.06 cnf(reflexivity,axiom,X25=X25,theory(equality)).
% 0.89/1.06 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.89/1.06 fof(c32,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])).
% 0.89/1.06 fof(c33,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)],[c32])).
% 0.89/1.06 fof(c34,plain,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|X22!=X20)&(in(X22,X21)|X22=X20)))|X21=singleton(X20))))),inference(variable_rename,[status(thm)],[c33])).
% 0.89/1.06 fof(c36,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X17!=singleton(X16)|((~in(X18,X17)|X18=X16)&(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))))))),inference(shift_quantors,[status(thm)],[fof(c35,plain,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))),inference(skolemize,[status(esa)],[c34])).])).
% 0.89/1.06 fof(c37,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X17!=singleton(X16)|(~in(X18,X17)|X18=X16))&(X17!=singleton(X16)|(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)|X21=singleton(X20))&((in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20)|X21=singleton(X20)))))))))),inference(distribute,[status(thm)],[c36])).
% 0.89/1.06 cnf(c39,plain,X50!=singleton(X49)|X51!=X49|in(X51,X50),inference(split_conjunct,[status(thm)],[c37])).
% 0.89/1.06 cnf(c53,plain,X57!=X56|in(X57,singleton(X56)),inference(resolution,[status(thm)],[c39, reflexivity])).
% 0.89/1.06 fof(d4_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&(~in(D,B))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.89/1.06 fof(c19,plain,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&~in(D,B)))))))),inference(fof_simplification,[status(thm)],[d4_xboole_0])).
% 0.89/1.06 fof(c20,plain,(![A]:(![B]:(![C]:((C!=set_difference(A,B)|(![D]:((~in(D,C)|(in(D,A)&~in(D,B)))&((~in(D,A)|in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(fof_nnf,[status(thm)],[c19])).
% 0.89/1.06 fof(c21,plain,((![A]:(![B]:(![C]:(C!=set_difference(A,B)|((![D]:(~in(D,C)|(in(D,A)&~in(D,B))))&(![D]:((~in(D,A)|in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(shift_quantors,[status(thm)],[c20])).
% 0.89/1.06 fof(c22,plain,((![X7]:(![X8]:(![X9]:(X9!=set_difference(X7,X8)|((![X10]:(~in(X10,X9)|(in(X10,X7)&~in(X10,X8))))&(![X11]:((~in(X11,X7)|in(X11,X8))|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|(~in(X15,X12)|in(X15,X13)))&(in(X15,X14)|(in(X15,X12)&~in(X15,X13)))))|X14=set_difference(X12,X13)))))),inference(variable_rename,[status(thm)],[c21])).
% 0.89/1.06 fof(c24,plain,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X9!=set_difference(X7,X8)|((~in(X10,X9)|(in(X10,X7)&~in(X10,X8)))&((~in(X11,X7)|in(X11,X8))|in(X11,X9))))&(((~in(skolem0006(X12,X13,X14),X14)|(~in(skolem0006(X12,X13,X14),X12)|in(skolem0006(X12,X13,X14),X13)))&(in(skolem0006(X12,X13,X14),X14)|(in(skolem0006(X12,X13,X14),X12)&~in(skolem0006(X12,X13,X14),X13))))|X14=set_difference(X12,X13))))))))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X7]:(![X8]:(![X9]:(X9!=set_difference(X7,X8)|((![X10]:(~in(X10,X9)|(in(X10,X7)&~in(X10,X8))))&(![X11]:((~in(X11,X7)|in(X11,X8))|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:(((~in(skolem0006(X12,X13,X14),X14)|(~in(skolem0006(X12,X13,X14),X12)|in(skolem0006(X12,X13,X14),X13)))&(in(skolem0006(X12,X13,X14),X14)|(in(skolem0006(X12,X13,X14),X12)&~in(skolem0006(X12,X13,X14),X13))))|X14=set_difference(X12,X13)))))),inference(skolemize,[status(esa)],[c22])).])).
% 0.89/1.06 fof(c25,plain,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((((X9!=set_difference(X7,X8)|(~in(X10,X9)|in(X10,X7)))&(X9!=set_difference(X7,X8)|(~in(X10,X9)|~in(X10,X8))))&(X9!=set_difference(X7,X8)|((~in(X11,X7)|in(X11,X8))|in(X11,X9))))&(((~in(skolem0006(X12,X13,X14),X14)|(~in(skolem0006(X12,X13,X14),X12)|in(skolem0006(X12,X13,X14),X13)))|X14=set_difference(X12,X13))&(((in(skolem0006(X12,X13,X14),X14)|in(skolem0006(X12,X13,X14),X12))|X14=set_difference(X12,X13))&((in(skolem0006(X12,X13,X14),X14)|~in(skolem0006(X12,X13,X14),X13))|X14=set_difference(X12,X13))))))))))))),inference(distribute,[status(thm)],[c24])).
% 0.89/1.06 cnf(c26,plain,X82!=set_difference(X79,X81)|~in(X80,X82)|in(X80,X79),inference(split_conjunct,[status(thm)],[c25])).
% 0.89/1.06 cnf(c64,plain,~in(X84,set_difference(X85,X83))|in(X84,X85),inference(resolution,[status(thm)],[c26, reflexivity])).
% 0.89/1.06 fof(t64_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(in(A,set_difference(B,singleton(C)))<=>(in(A,B)&A!=C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t64_zfmisc_1)).
% 0.89/1.06 fof(c4,negated_conjecture,(~(![A]:(![B]:(![C]:(in(A,set_difference(B,singleton(C)))<=>(in(A,B)&A!=C)))))),inference(assume_negation,[status(cth)],[t64_zfmisc_1])).
% 0.89/1.06 fof(c5,negated_conjecture,(?[A]:(?[B]:(?[C]:((~in(A,set_difference(B,singleton(C)))|(~in(A,B)|A=C))&(in(A,set_difference(B,singleton(C)))|(in(A,B)&A!=C)))))),inference(fof_nnf,[status(thm)],[c4])).
% 0.89/1.06 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~in(X2,set_difference(X3,singleton(X4)))|(~in(X2,X3)|X2=X4))&(in(X2,set_difference(X3,singleton(X4)))|(in(X2,X3)&X2!=X4)))))),inference(variable_rename,[status(thm)],[c5])).
% 0.89/1.06 fof(c7,negated_conjecture,((~in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|(~in(skolem0001,skolem0002)|skolem0001=skolem0003))&(in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|(in(skolem0001,skolem0002)&skolem0001!=skolem0003))),inference(skolemize,[status(esa)],[c6])).
% 0.89/1.06 fof(c8,negated_conjecture,((~in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|(~in(skolem0001,skolem0002)|skolem0001=skolem0003))&((in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|in(skolem0001,skolem0002))&(in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|skolem0001!=skolem0003))),inference(distribute,[status(thm)],[c7])).
% 0.89/1.06 cnf(c10,negated_conjecture,in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 0.89/1.06 cnf(c70,plain,in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c10, c64])).
% 0.89/1.06 cnf(c9,negated_conjecture,~in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|~in(skolem0001,skolem0002)|skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c8])).
% 0.89/1.06 cnf(c38,plain,X46!=singleton(X45)|~in(X44,X46)|X44=X45,inference(split_conjunct,[status(thm)],[c37])).
% 0.89/1.06 cnf(c52,plain,~in(X47,singleton(X48))|X47=X48,inference(resolution,[status(thm)],[c38, reflexivity])).
% 0.89/1.06 cnf(c28,plain,X99!=set_difference(X97,X98)|~in(X96,X97)|in(X96,X98)|in(X96,X99),inference(split_conjunct,[status(thm)],[c25])).
% 0.89/1.06 cnf(c77,plain,~in(X103,X104)|in(X103,X105)|in(X103,set_difference(X104,X105)),inference(resolution,[status(thm)],[c28, reflexivity])).
% 0.89/1.06 cnf(c80,plain,in(skolem0001,X135)|in(skolem0001,set_difference(skolem0002,X135)),inference(resolution,[status(thm)],[c77, c70])).
% 0.89/1.06 cnf(c197,plain,in(skolem0001,set_difference(skolem0002,singleton(X349)))|skolem0001=X349,inference(resolution,[status(thm)],[c80, c52])).
% 0.89/1.06 cnf(c1168,plain,skolem0001=skolem0003|~in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c197, c9])).
% 0.89/1.06 cnf(c1209,plain,skolem0001=skolem0003,inference(resolution,[status(thm)],[c1168, c70])).
% 0.89/1.06 cnf(c1216,plain,in(skolem0001,singleton(skolem0003)),inference(resolution,[status(thm)],[c1209, c53])).
% 0.89/1.06 cnf(c27,plain,X89!=set_difference(X86,X88)|~in(X87,X89)|~in(X87,X88),inference(split_conjunct,[status(thm)],[c25])).
% 0.89/1.06 cnf(c65,plain,~in(X92,set_difference(X91,X90))|~in(X92,X90),inference(resolution,[status(thm)],[c27, reflexivity])).
% 0.89/1.06 cnf(c11,negated_conjecture,in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|skolem0001!=skolem0003,inference(split_conjunct,[status(thm)],[c8])).
% 0.89/1.06 cnf(c1175,plain,in(skolem0001,set_difference(skolem0002,singleton(skolem0003))),inference(resolution,[status(thm)],[c197, c11])).
% 0.89/1.06 cnf(c1478,plain,~in(skolem0001,singleton(skolem0003)),inference(resolution,[status(thm)],[c1175, c65])).
% 0.89/1.06 cnf(c1532,plain,$false,inference(resolution,[status(thm)],[c1478, c1216])).
% 0.89/1.06 % SZS output end CNFRefutation
% 0.89/1.06
% 0.89/1.06 % Initial clauses : 23
% 0.89/1.06 % Processed clauses : 138
% 0.89/1.06 % Factors computed : 16
% 0.89/1.06 % Resolvents computed: 1476
% 0.89/1.06 % Tautologies deleted: 10
% 0.89/1.06 % Forward subsumed : 94
% 0.89/1.06 % Backward subsumed : 6
% 0.89/1.06 % -------- CPU Time ---------
% 0.89/1.06 % User time : 0.672 s
% 0.89/1.06 % System time : 0.022 s
% 0.89/1.06 % Total time : 0.694 s
%------------------------------------------------------------------------------