TSTP Solution File: SET942+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 04:41:30 EDT 2022
% Result : Theorem 152.24s 152.48s
% Output : Refutation 152.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% 0.01/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 20:27:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 152.24/152.48 # Version: 1.3
% 152.24/152.48 # SZS status Theorem
% 152.24/152.48 # SZS output start CNFRefutation
% 152.24/152.48 fof(t95_zfmisc_1,conjecture,(![A]:(![B]:(subset(A,B)=>subset(union(A),union(B))))),input).
% 152.24/152.48 fof(c4,negated_conjecture,(~(![A]:(![B]:(subset(A,B)=>subset(union(A),union(B)))))),inference(assume_negation,status(cth),[t95_zfmisc_1])).
% 152.24/152.48 fof(c5,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&~subset(union(A),union(B))))),inference(fof_nnf,status(thm),[c4])).
% 152.24/152.48 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(subset(X2,X3)&~subset(union(X2),union(X3))))),inference(variable_rename,status(thm),[c5])).
% 152.24/152.48 fof(c7,negated_conjecture,(subset(skolem0001,skolem0002)&~subset(union(skolem0001),union(skolem0002))),inference(skolemize,status(esa),[c6])).
% 152.24/152.48 cnf(c9,negated_conjecture,~subset(union(skolem0001),union(skolem0002)),inference(split_conjunct,status(thm),[c7])).
% 152.24/152.48 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 152.24/152.48 fof(c32,axiom,(![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])).
% 152.24/152.48 fof(c33,axiom,((![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),[c32])).
% 152.24/152.48 fof(c34,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~in(X20,X18)|in(X20,X19))))))&(![X21]:(![X22]:((?[X23]:(in(X23,X21)&~in(X23,X22)))|subset(X21,X22))))),inference(variable_rename,status(thm),[c33])).
% 152.24/152.48 fof(c36,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~in(X20,X18)|in(X20,X19)))&((in(skolem0008(X21,X22),X21)&~in(skolem0008(X21,X22),X22))|subset(X21,X22)))))))),inference(shift_quantors,status(thm),[fof(c35,axiom,((![X18]:(![X19]:(~subset(X18,X19)|(![X20]:(~in(X20,X18)|in(X20,X19))))))&(![X21]:(![X22]:((in(skolem0008(X21,X22),X21)&~in(skolem0008(X21,X22),X22))|subset(X21,X22))))),inference(skolemize,status(esa),[c34])).])).
% 152.24/152.48 fof(c37,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:((~subset(X18,X19)|(~in(X20,X18)|in(X20,X19)))&((in(skolem0008(X21,X22),X21)|subset(X21,X22))&(~in(skolem0008(X21,X22),X22)|subset(X21,X22))))))))),inference(distribute,status(thm),[c36])).
% 152.24/152.48 cnf(c40,axiom,~in(skolem0008(X44,X43),X43)|subset(X44,X43),inference(split_conjunct,status(thm),[c37])).
% 152.24/152.48 cnf(c39,axiom,in(skolem0008(X42,X41),X42)|subset(X42,X41),inference(split_conjunct,status(thm),[c37])).
% 152.24/152.48 cnf(c49,plain,in(skolem0008(union(skolem0001),union(skolem0002)),union(skolem0001)),inference(resolution,status(thm),[c39, c9])).
% 152.24/152.48 cnf(reflexivity,axiom,X26=X26,eq_axiom).
% 152.24/152.48 fof(d4_tarski,axiom,(![A]:(![B]:(B=union(A)<=>(![C]:(in(C,B)<=>(?[D]:(in(C,D)&in(D,A)))))))),input).
% 152.24/152.48 fof(c20,axiom,(![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])).
% 152.24/152.48 fof(c21,axiom,((![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),[c20])).
% 152.24/152.48 fof(c22,axiom,((![X7]:(![X8]:(X8!=union(X7)|((![X9]:(~in(X9,X8)|(?[X10]:(in(X9,X10)&in(X10,X7)))))&(![X11]:((![X12]:(~in(X11,X12)|~in(X12,X7)))|in(X11,X8)))))))&(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|(![X16]:(~in(X15,X16)|~in(X16,X13))))&(in(X15,X14)|(?[X17]:(in(X15,X17)&in(X17,X13))))))|X14=union(X13))))),inference(variable_rename,status(thm),[c21])).
% 152.24/152.48 fof(c24,axiom,(![X7]:(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:(![X14]:(![X16]:((X8!=union(X7)|((~in(X9,X8)|(in(X9,skolem0005(X7,X8,X9))&in(skolem0005(X7,X8,X9),X7)))&((~in(X11,X12)|~in(X12,X7))|in(X11,X8))))&(((~in(skolem0006(X13,X14),X14)|(~in(skolem0006(X13,X14),X16)|~in(X16,X13)))&(in(skolem0006(X13,X14),X14)|(in(skolem0006(X13,X14),skolem0007(X13,X14))&in(skolem0007(X13,X14),X13))))|X14=union(X13))))))))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X7]:(![X8]:(X8!=union(X7)|((![X9]:(~in(X9,X8)|(in(X9,skolem0005(X7,X8,X9))&in(skolem0005(X7,X8,X9),X7))))&(![X11]:((![X12]:(~in(X11,X12)|~in(X12,X7)))|in(X11,X8)))))))&(![X13]:(![X14]:(((~in(skolem0006(X13,X14),X14)|(![X16]:(~in(skolem0006(X13,X14),X16)|~in(X16,X13))))&(in(skolem0006(X13,X14),X14)|(in(skolem0006(X13,X14),skolem0007(X13,X14))&in(skolem0007(X13,X14),X13))))|X14=union(X13))))),inference(skolemize,status(esa),[c22])).])).
% 152.24/152.48 fof(c25,axiom,(![X7]:(![X8]:(![X9]:(![X11]:(![X12]:(![X13]:(![X14]:(![X16]:((((X8!=union(X7)|(~in(X9,X8)|in(X9,skolem0005(X7,X8,X9))))&(X8!=union(X7)|(~in(X9,X8)|in(skolem0005(X7,X8,X9),X7))))&(X8!=union(X7)|((~in(X11,X12)|~in(X12,X7))|in(X11,X8))))&(((~in(skolem0006(X13,X14),X14)|(~in(skolem0006(X13,X14),X16)|~in(X16,X13)))|X14=union(X13))&(((in(skolem0006(X13,X14),X14)|in(skolem0006(X13,X14),skolem0007(X13,X14)))|X14=union(X13))&((in(skolem0006(X13,X14),X14)|in(skolem0007(X13,X14),X13))|X14=union(X13))))))))))))),inference(distribute,status(thm),[c24])).
% 152.24/152.48 cnf(c26,axiom,X76!=union(X75)|~in(X74,X76)|in(X74,skolem0005(X75,X76,X74)),inference(split_conjunct,status(thm),[c25])).
% 152.24/152.48 cnf(c68,plain,~in(X84,union(X85))|in(X84,skolem0005(X85,union(X85),X84)),inference(resolution,status(thm),[c26, reflexivity])).
% 152.24/152.48 cnf(c76,plain,in(skolem0008(union(skolem0001),union(skolem0002)),skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),union(skolem0002)))),inference(resolution,status(thm),[c68, c49])).
% 152.24/152.48 cnf(c28,axiom,X91!=union(X90)|~in(X89,X88)|~in(X88,X90)|in(X89,X91),inference(split_conjunct,status(thm),[c25])).
% 152.24/152.48 cnf(c79,plain,~in(X93,X92)|~in(X92,X94)|in(X93,union(X94)),inference(resolution,status(thm),[c28, reflexivity])).
% 152.24/152.48 cnf(c8,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c7])).
% 152.24/152.48 cnf(c38,axiom,~subset(X51,X52)|~in(X53,X51)|in(X53,X52),inference(split_conjunct,status(thm),[c37])).
% 152.24/152.48 cnf(c27,axiom,X83!=union(X82)|~in(X81,X83)|in(skolem0005(X82,X83,X81),X82),inference(split_conjunct,status(thm),[c25])).
% 152.24/152.48 cnf(c74,plain,~in(X86,union(X87))|in(skolem0005(X87,union(X87),X86),X87),inference(resolution,status(thm),[c27, reflexivity])).
% 152.24/152.48 cnf(c78,plain,in(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),union(skolem0002))),skolem0001),inference(resolution,status(thm),[c74, c49])).
% 152.24/152.48 cnf(c350,plain,~subset(skolem0001,X1516)|in(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),union(skolem0002))),X1516),inference(resolution,status(thm),[c78, c38])).
% 152.24/152.48 cnf(c21450,plain,in(skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),union(skolem0002))),skolem0002),inference(resolution,status(thm),[c350, c8])).
% 152.24/152.48 cnf(c21678,plain,~in(X5410,skolem0005(skolem0001,union(skolem0001),skolem0008(union(skolem0001),union(skolem0002))))|in(X5410,union(skolem0002)),inference(resolution,status(thm),[c21450, c79])).
% 152.24/152.48 cnf(c278214,plain,in(skolem0008(union(skolem0001),union(skolem0002)),union(skolem0002)),inference(resolution,status(thm),[c21678, c76])).
% 152.24/152.48 cnf(c278384,plain,subset(union(skolem0001),union(skolem0002)),inference(resolution,status(thm),[c278214, c40])).
% 152.24/152.48 cnf(c279154,plain,$false,inference(resolution,status(thm),[c278384, c9])).
% 152.24/152.48 # SZS output end CNFRefutation
% 152.24/152.48
% 152.24/152.48 # Initial clauses : 22
% 152.24/152.48 # Processed clauses : 1538
% 152.24/152.48 # Factors computed : 270
% 152.24/152.48 # Resolvents computed: 278860
% 152.24/152.48 # Tautologies deleted: 5
% 152.24/152.48 # Forward subsumed : 906
% 152.24/152.48 # Backward subsumed : 11
% 152.24/152.48 # -------- CPU Time ---------
% 152.24/152.48 # User time : 151.378 s
% 152.24/152.48 # System time : 0.726 s
% 152.24/152.48 # Total time : 152.104 s
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