TSTP Solution File: SET921+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 : 600s
% DateTime : Tue Jul 19 04:41:20 EDT 2022
% Result : Theorem 0.78s 0.95s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET921+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jul 10 20:54:52 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.78/0.95 # Version: 1.3
% 0.78/0.95 # SZS status Theorem
% 0.78/0.95 # SZS output start CNFRefutation
% 0.78/0.95 cnf(reflexivity,axiom,X25=X25,eq_axiom).
% 0.78/0.95 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.78/0.95 fof(c32,axiom,(![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])).
% 0.78/0.95 fof(c33,axiom,((![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])).
% 0.78/0.95 fof(c34,axiom,((![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])).
% 0.78/0.95 fof(c36,axiom,(![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,axiom,((![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])).])).
% 0.78/0.95 fof(c37,axiom,(![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])).
% 0.78/0.95 cnf(c39,axiom,X51!=singleton(X52)|X53!=X52|in(X53,X51),inference(split_conjunct,status(thm),[c37])).
% 0.78/0.95 cnf(c52,plain,X55!=X54|in(X55,singleton(X54)),inference(resolution,status(thm),[c39, reflexivity])).
% 0.78/0.95 fof(d4_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&(~in(D,B))))))))),input).
% 0.78/0.95 fof(c19,axiom,(![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])).
% 0.78/0.95 fof(c20,axiom,(![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])).
% 0.78/0.95 fof(c21,axiom,((![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])).
% 0.78/0.95 fof(c22,axiom,((![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])).
% 0.78/0.95 fof(c24,axiom,(![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,axiom,((![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])).])).
% 0.78/0.95 fof(c25,axiom,(![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])).
% 0.78/0.95 cnf(c26,axiom,X77!=set_difference(X75,X76)|~in(X74,X77)|in(X74,X75),inference(split_conjunct,status(thm),[c25])).
% 0.78/0.95 cnf(c60,plain,~in(X80,set_difference(X79,X78))|in(X80,X79),inference(resolution,status(thm),[c26, reflexivity])).
% 0.78/0.95 fof(t64_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(in(A,set_difference(B,singleton(C)))<=>(in(A,B)&A!=C))))),input).
% 0.78/0.95 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])).
% 0.78/0.95 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])).
% 0.78/0.95 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])).
% 0.78/0.95 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])).
% 0.78/0.95 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])).
% 0.78/0.95 cnf(c10,negated_conjecture,in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c8])).
% 0.78/0.95 cnf(c61,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c10, c60])).
% 0.78/0.95 cnf(c9,negated_conjecture,~in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|~in(skolem0001,skolem0002)|skolem0001=skolem0003,inference(split_conjunct,status(thm),[c8])).
% 0.78/0.95 cnf(c38,axiom,X47!=singleton(X48)|~in(X46,X47)|X46=X48,inference(split_conjunct,status(thm),[c37])).
% 0.78/0.95 cnf(c51,plain,~in(X50,singleton(X49))|X50=X49,inference(resolution,status(thm),[c38, reflexivity])).
% 0.78/0.95 cnf(c28,axiom,X94!=set_difference(X91,X92)|~in(X93,X91)|in(X93,X92)|in(X93,X94),inference(split_conjunct,status(thm),[c25])).
% 0.78/0.95 cnf(c72,plain,~in(X97,X96)|in(X97,X95)|in(X97,set_difference(X96,X95)),inference(resolution,status(thm),[c28, reflexivity])).
% 0.78/0.95 cnf(c74,plain,in(skolem0001,X122)|in(skolem0001,set_difference(skolem0002,X122)),inference(resolution,status(thm),[c72, c61])).
% 0.78/0.95 cnf(c146,plain,in(skolem0001,set_difference(skolem0002,singleton(X318)))|skolem0001=X318,inference(resolution,status(thm),[c74, c51])).
% 0.78/0.95 cnf(c1002,plain,skolem0001=skolem0003|~in(skolem0001,skolem0002),inference(resolution,status(thm),[c146, c9])).
% 0.78/0.95 cnf(c1034,plain,skolem0001=skolem0003,inference(resolution,status(thm),[c1002, c61])).
% 0.78/0.95 cnf(c1038,plain,in(skolem0001,singleton(skolem0003)),inference(resolution,status(thm),[c1034, c52])).
% 0.78/0.95 cnf(c27,axiom,X87!=set_difference(X85,X86)|~in(X84,X87)|~in(X84,X86),inference(split_conjunct,status(thm),[c25])).
% 0.78/0.95 cnf(c71,plain,~in(X88,set_difference(X89,X90))|~in(X88,X90),inference(resolution,status(thm),[c27, reflexivity])).
% 0.78/0.95 cnf(c11,negated_conjecture,in(skolem0001,set_difference(skolem0002,singleton(skolem0003)))|skolem0001!=skolem0003,inference(split_conjunct,status(thm),[c8])).
% 0.78/0.95 cnf(c1023,plain,in(skolem0001,set_difference(skolem0002,singleton(skolem0003))),inference(resolution,status(thm),[c146, c11])).
% 0.78/0.95 cnf(c1280,plain,~in(skolem0001,singleton(skolem0003)),inference(resolution,status(thm),[c1023, c71])).
% 0.78/0.95 cnf(c1292,plain,$false,inference(resolution,status(thm),[c1280, c1038])).
% 0.78/0.95 # SZS output end CNFRefutation
% 0.78/0.95
% 0.78/0.95 # Initial clauses : 23
% 0.78/0.95 # Processed clauses : 132
% 0.78/0.95 # Factors computed : 9
% 0.78/0.95 # Resolvents computed: 1287
% 0.78/0.95 # Tautologies deleted: 9
% 0.78/0.95 # Forward subsumed : 99
% 0.78/0.95 # Backward subsumed : 10
% 0.78/0.95 # -------- CPU Time ---------
% 0.78/0.95 # User time : 0.569 s
% 0.78/0.95 # System time : 0.015 s
% 0.78/0.95 # Total time : 0.584 s
%------------------------------------------------------------------------------