TSTP Solution File: SEU160+3 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 13:36:03 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU160+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 Jun 19 07:56:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 # Version: 1.3
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% 0.19/0.54 fof(l4_zfmisc_1,axiom,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),input).
% 0.19/0.54 fof(c3,axiom,(![A]:(![B]:((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(fof_nnf,status(thm),[l4_zfmisc_1])).
% 0.19/0.54 fof(c4,axiom,((![A]:(![B]:(~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))&(![A]:(![B]:((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(shift_quantors,status(thm),[c3])).
% 0.19/0.54 fof(c6,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((~subset(X2,singleton(X3))|(X2=empty_set|X2=singleton(X3)))&((X4!=empty_set&X4!=singleton(X5))|subset(X4,singleton(X5)))))))),inference(shift_quantors,status(thm),[fof(c5,axiom,((![X2]:(![X3]:(~subset(X2,singleton(X3))|(X2=empty_set|X2=singleton(X3)))))&(![X4]:(![X5]:((X4!=empty_set&X4!=singleton(X5))|subset(X4,singleton(X5)))))),inference(variable_rename,status(thm),[c4])).])).
% 0.19/0.54 fof(c7,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((~subset(X2,singleton(X3))|(X2=empty_set|X2=singleton(X3)))&((X4!=empty_set|subset(X4,singleton(X5)))&(X4!=singleton(X5)|subset(X4,singleton(X5))))))))),inference(distribute,status(thm),[c6])).
% 0.19/0.54 cnf(c10,axiom,X30!=singleton(X31)|subset(X30,singleton(X31)),inference(split_conjunct,status(thm),[c7])).
% 0.19/0.54 fof(t39_zfmisc_1,conjecture,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),input).
% 0.19/0.54 fof(c11,negated_conjecture,(~(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B)))))),inference(assume_negation,status(cth),[t39_zfmisc_1])).
% 0.19/0.54 fof(c12,negated_conjecture,(?[A]:(?[B]:((~subset(A,singleton(B))|(A!=empty_set&A!=singleton(B)))&(subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))),inference(fof_nnf,status(thm),[c11])).
% 0.19/0.54 fof(c13,negated_conjecture,(?[X6]:(?[X7]:((~subset(X6,singleton(X7))|(X6!=empty_set&X6!=singleton(X7)))&(subset(X6,singleton(X7))|(X6=empty_set|X6=singleton(X7)))))),inference(variable_rename,status(thm),[c12])).
% 0.19/0.54 fof(c14,negated_conjecture,((~subset(skolem0001,singleton(skolem0002))|(skolem0001!=empty_set&skolem0001!=singleton(skolem0002)))&(subset(skolem0001,singleton(skolem0002))|(skolem0001=empty_set|skolem0001=singleton(skolem0002)))),inference(skolemize,status(esa),[c13])).
% 0.19/0.54 fof(c15,negated_conjecture,(((~subset(skolem0001,singleton(skolem0002))|skolem0001!=empty_set)&(~subset(skolem0001,singleton(skolem0002))|skolem0001!=singleton(skolem0002)))&(subset(skolem0001,singleton(skolem0002))|(skolem0001=empty_set|skolem0001=singleton(skolem0002)))),inference(distribute,status(thm),[c14])).
% 0.19/0.54 cnf(c18,negated_conjecture,subset(skolem0001,singleton(skolem0002))|skolem0001=empty_set|skolem0001=singleton(skolem0002),inference(split_conjunct,status(thm),[c15])).
% 0.19/0.54 cnf(c59,plain,subset(skolem0001,singleton(skolem0002))|skolem0001=empty_set,inference(resolution,status(thm),[c18, c10])).
% 0.19/0.54 cnf(c17,negated_conjecture,~subset(skolem0001,singleton(skolem0002))|skolem0001!=singleton(skolem0002),inference(split_conjunct,status(thm),[c15])).
% 0.19/0.54 cnf(c8,axiom,~subset(X46,singleton(X47))|X46=empty_set|X46=singleton(X47),inference(split_conjunct,status(thm),[c7])).
% 0.19/0.54 cnf(c45,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002),inference(resolution,status(thm),[c18, c8])).
% 0.19/0.54 cnf(c70,plain,skolem0001=empty_set|~subset(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c45, c17])).
% 0.19/0.54 cnf(c111,plain,skolem0001=empty_set,inference(resolution,status(thm),[c70, c59])).
% 0.19/0.54 cnf(c16,negated_conjecture,~subset(skolem0001,singleton(skolem0002))|skolem0001!=empty_set,inference(split_conjunct,status(thm),[c15])).
% 0.19/0.54 cnf(c9,axiom,X19!=empty_set|subset(X19,singleton(X20)),inference(split_conjunct,status(thm),[c7])).
% 0.19/0.54 cnf(c113,plain,subset(skolem0001,singleton(X55)),inference(resolution,status(thm),[c111, c9])).
% 0.19/0.54 cnf(c128,plain,skolem0001!=empty_set,inference(resolution,status(thm),[c113, c16])).
% 0.19/0.54 cnf(c131,plain,$false,inference(resolution,status(thm),[c128, c111])).
% 0.19/0.54 # SZS output end CNFRefutation
% 0.19/0.54
% 0.19/0.54 # Initial clauses : 16
% 0.19/0.54 # Processed clauses : 32
% 0.19/0.54 # Factors computed : 0
% 0.19/0.54 # Resolvents computed: 102
% 0.19/0.54 # Tautologies deleted: 4
% 0.19/0.54 # Forward subsumed : 9
% 0.19/0.54 # Backward subsumed : 7
% 0.19/0.54 # -------- CPU Time ---------
% 0.19/0.54 # User time : 0.183 s
% 0.19/0.54 # System time : 0.017 s
% 0.19/0.54 # Total time : 0.200 s
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