TSTP Solution File: SET901+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 04:41:11 EDT 2022
% Result : Theorem 17.28s 17.46s
% Output : Refutation 17.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 13:59:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 17.28/17.46 # Version: 1.3
% 17.28/17.46 # SZS status Theorem
% 17.28/17.46 # SZS output start CNFRefutation
% 17.28/17.46 fof(l46_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))))))),input).
% 17.28/17.46 fof(c4,axiom,(![A]:(![B]:(![C]:((~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C)))&((((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))|subset(A,unordered_pair(B,C))))))),inference(fof_nnf,status(thm),[l46_zfmisc_1])).
% 17.28/17.46 fof(c5,axiom,((![A]:(![B]:(![C]:(~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))))&(![A]:(![B]:(![C]:((((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))|subset(A,unordered_pair(B,C))))))),inference(shift_quantors,status(thm),[c4])).
% 17.28/17.46 fof(c7,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4)))&((((X5!=empty_set&X5!=singleton(X6))&X5!=singleton(X7))&X5!=unordered_pair(X6,X7))|subset(X5,unordered_pair(X6,X7)))))))))),inference(shift_quantors,status(thm),[fof(c6,axiom,((![X2]:(![X3]:(![X4]:(~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4))))))&(![X5]:(![X6]:(![X7]:((((X5!=empty_set&X5!=singleton(X6))&X5!=singleton(X7))&X5!=unordered_pair(X6,X7))|subset(X5,unordered_pair(X6,X7))))))),inference(variable_rename,status(thm),[c5])).])).
% 17.28/17.46 fof(c8,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((~subset(X2,unordered_pair(X3,X4))|(((X2=empty_set|X2=singleton(X3))|X2=singleton(X4))|X2=unordered_pair(X3,X4)))&((((X5!=empty_set|subset(X5,unordered_pair(X6,X7)))&(X5!=singleton(X6)|subset(X5,unordered_pair(X6,X7))))&(X5!=singleton(X7)|subset(X5,unordered_pair(X6,X7))))&(X5!=unordered_pair(X6,X7)|subset(X5,unordered_pair(X6,X7))))))))))),inference(distribute,status(thm),[c7])).
% 17.28/17.46 cnf(c13,axiom,X70!=unordered_pair(X71,X69)|subset(X70,unordered_pair(X71,X69)),inference(split_conjunct,status(thm),[c8])).
% 17.28/17.46 fof(t42_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C))))))),input).
% 17.28/17.46 fof(c14,negated_conjecture,(~(![A]:(![B]:(![C]:(subset(A,unordered_pair(B,C))<=>(~(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C)))))))),inference(assume_negation,status(cth),[t42_zfmisc_1])).
% 17.28/17.46 fof(c15,negated_conjecture,(?[A]:(?[B]:(?[C]:((~subset(A,unordered_pair(B,C))|(((A!=empty_set&A!=singleton(B))&A!=singleton(C))&A!=unordered_pair(B,C)))&(subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))))),inference(fof_nnf,status(thm),[c14])).
% 17.28/17.46 fof(c16,negated_conjecture,(?[X8]:(?[X9]:(?[X10]:((~subset(X8,unordered_pair(X9,X10))|(((X8!=empty_set&X8!=singleton(X9))&X8!=singleton(X10))&X8!=unordered_pair(X9,X10)))&(subset(X8,unordered_pair(X9,X10))|(((X8=empty_set|X8=singleton(X9))|X8=singleton(X10))|X8=unordered_pair(X9,X10))))))),inference(variable_rename,status(thm),[c15])).
% 17.28/17.46 fof(c17,negated_conjecture,((~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001!=empty_set&skolem0001!=singleton(skolem0002))&skolem0001!=singleton(skolem0003))&skolem0001!=unordered_pair(skolem0002,skolem0003)))&(subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001=empty_set|skolem0001=singleton(skolem0002))|skolem0001=singleton(skolem0003))|skolem0001=unordered_pair(skolem0002,skolem0003)))),inference(skolemize,status(esa),[c16])).
% 17.28/17.46 fof(c18,negated_conjecture,(((((~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=empty_set)&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0002)))&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0003)))&(~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=unordered_pair(skolem0002,skolem0003)))&(subset(skolem0001,unordered_pair(skolem0002,skolem0003))|(((skolem0001=empty_set|skolem0001=singleton(skolem0002))|skolem0001=singleton(skolem0003))|skolem0001=unordered_pair(skolem0002,skolem0003)))),inference(distribute,status(thm),[c17])).
% 17.28/17.46 cnf(c23,negated_conjecture,subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|skolem0001=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c18])).
% 17.28/17.46 cnf(c155,plain,subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003),inference(resolution,status(thm),[c23, c13])).
% 17.28/17.46 cnf(c22,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c18])).
% 17.28/17.46 cnf(c9,axiom,~subset(X74,unordered_pair(X73,X72))|X74=empty_set|X74=singleton(X73)|X74=singleton(X72)|X74=unordered_pair(X73,X72),inference(split_conjunct,status(thm),[c8])).
% 17.28/17.46 cnf(c119,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|skolem0001=unordered_pair(skolem0002,skolem0003),inference(resolution,status(thm),[c23, c9])).
% 17.28/17.46 cnf(c606,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003)|~subset(skolem0001,unordered_pair(skolem0002,skolem0003)),inference(resolution,status(thm),[c119, c22])).
% 17.28/17.46 cnf(c19699,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002)|skolem0001=singleton(skolem0003),inference(resolution,status(thm),[c606, c155])).
% 17.28/17.46 cnf(c20,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0002),inference(split_conjunct,status(thm),[c18])).
% 17.28/17.46 cnf(c11,axiom,X48!=singleton(X49)|subset(X48,unordered_pair(X49,X47)),inference(split_conjunct,status(thm),[c8])).
% 17.28/17.46 cnf(c19913,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003)|subset(skolem0001,unordered_pair(skolem0002,X6267)),inference(resolution,status(thm),[c19699, c11])).
% 17.28/17.46 cnf(c26429,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003)|skolem0001!=singleton(skolem0002),inference(resolution,status(thm),[c19913, c20])).
% 17.28/17.46 cnf(c26499,plain,skolem0001=empty_set|skolem0001=singleton(skolem0003),inference(resolution,status(thm),[c26429, c19699])).
% 17.28/17.46 cnf(c21,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=singleton(skolem0003),inference(split_conjunct,status(thm),[c18])).
% 17.28/17.46 cnf(c12,axiom,X53!=singleton(X52)|subset(X53,unordered_pair(X54,X52)),inference(split_conjunct,status(thm),[c8])).
% 17.28/17.46 cnf(c26564,plain,skolem0001=empty_set|subset(skolem0001,unordered_pair(X6274,skolem0003)),inference(resolution,status(thm),[c26499, c12])).
% 17.28/17.46 cnf(c27211,plain,skolem0001=empty_set|skolem0001!=singleton(skolem0003),inference(resolution,status(thm),[c26564, c21])).
% 17.28/17.46 cnf(c27215,plain,skolem0001=empty_set,inference(resolution,status(thm),[c27211, c26499])).
% 17.28/17.46 cnf(c19,negated_conjecture,~subset(skolem0001,unordered_pair(skolem0002,skolem0003))|skolem0001!=empty_set,inference(split_conjunct,status(thm),[c18])).
% 17.28/17.46 cnf(c10,axiom,X37!=empty_set|subset(X37,unordered_pair(X38,X36)),inference(split_conjunct,status(thm),[c8])).
% 17.28/17.46 cnf(c27244,plain,subset(skolem0001,unordered_pair(X6277,X6278)),inference(resolution,status(thm),[c27215, c10])).
% 17.28/17.46 cnf(c27286,plain,skolem0001!=empty_set,inference(resolution,status(thm),[c27244, c19])).
% 17.28/17.46 cnf(c27290,plain,$false,inference(resolution,status(thm),[c27286, c27215])).
% 17.28/17.46 # SZS output end CNFRefutation
% 17.28/17.46
% 17.28/17.46 # Initial clauses : 22
% 17.28/17.46 # Processed clauses : 620
% 17.28/17.46 # Factors computed : 5
% 17.28/17.46 # Resolvents computed: 27249
% 17.28/17.46 # Tautologies deleted: 11
% 17.28/17.46 # Forward subsumed : 1277
% 17.28/17.46 # Backward subsumed : 203
% 17.28/17.46 # -------- CPU Time ---------
% 17.28/17.46 # User time : 17.022 s
% 17.28/17.46 # System time : 0.102 s
% 17.28/17.46 # Total time : 17.124 s
%------------------------------------------------------------------------------