TSTP Solution File: SET879+1 by PyRes---1.3

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 04:41:02 EDT 2022

% Result   : Theorem 0.50s 0.71s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n027.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  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 17:41:18 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.50/0.71  # Version:  1.3
% 0.50/0.71  # SZS status Theorem
% 0.50/0.71  # SZS output start CNFRefutation
% 0.50/0.71  cnf(reflexivity,axiom,X19=X19,eq_axiom).
% 0.50/0.71  fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.50/0.71  fof(c24,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])).
% 0.50/0.71  fof(c25,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),[c24])).
% 0.50/0.71  fof(c26,axiom,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|X16!=X14)&(in(X16,X15)|X16=X14)))|X15=singleton(X14))))),inference(variable_rename,status(thm),[c25])).
% 0.50/0.71  fof(c28,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=singleton(X10)|((~in(X12,X11)|X12=X10)&(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))))))),inference(shift_quantors,status(thm),[fof(c27,axiom,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))),inference(skolemize,status(esa),[c26])).])).
% 0.50/0.71  fof(c29,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=singleton(X10)|(~in(X12,X11)|X12=X10))&(X11!=singleton(X10)|(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)|X15=singleton(X14))&((in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14)|X15=singleton(X14)))))))))),inference(distribute,status(thm),[c28])).
% 0.50/0.71  cnf(c31,axiom,X45!=singleton(X47)|X46!=X47|in(X46,X45),inference(split_conjunct,status(thm),[c29])).
% 0.50/0.71  cnf(c44,plain,X49!=X48|in(X49,singleton(X48)),inference(resolution,status(thm),[c31, reflexivity])).
% 0.50/0.71  fof(t20_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),singleton(B))=singleton(A)<=>A!=B))),input).
% 0.50/0.71  fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),singleton(B))=singleton(A)<=>A!=B)))),inference(assume_negation,status(cth),[t20_zfmisc_1])).
% 0.50/0.71  fof(c5,negated_conjecture,(?[A]:(?[B]:((set_difference(singleton(A),singleton(B))!=singleton(A)|A=B)&(set_difference(singleton(A),singleton(B))=singleton(A)|A!=B)))),inference(fof_nnf,status(thm),[c4])).
% 0.50/0.71  fof(c6,negated_conjecture,(?[X2]:(?[X3]:((set_difference(singleton(X2),singleton(X3))!=singleton(X2)|X2=X3)&(set_difference(singleton(X2),singleton(X3))=singleton(X2)|X2!=X3)))),inference(variable_rename,status(thm),[c5])).
% 0.50/0.71  fof(c7,negated_conjecture,((set_difference(singleton(skolem0001),singleton(skolem0002))!=singleton(skolem0001)|skolem0001=skolem0002)&(set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)|skolem0001!=skolem0002)),inference(skolemize,status(esa),[c6])).
% 0.50/0.71  cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))!=singleton(skolem0001)|skolem0001=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 0.50/0.71  fof(l34_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),input).
% 0.50/0.71  fof(c17,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,status(thm),[l34_zfmisc_1])).
% 0.50/0.71  fof(c18,axiom,(![A]:(![B]:((set_difference(singleton(A),B)!=singleton(A)|~in(A,B))&(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(fof_nnf,status(thm),[c17])).
% 0.50/0.71  fof(c19,axiom,((![A]:(![B]:(set_difference(singleton(A),B)!=singleton(A)|~in(A,B))))&(![A]:(![B]:(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(shift_quantors,status(thm),[c18])).
% 0.50/0.71  fof(c21,axiom,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=singleton(X6)|~in(X6,X7))&(in(X8,X9)|set_difference(singleton(X8),X9)=singleton(X8))))))),inference(shift_quantors,status(thm),[fof(c20,axiom,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=singleton(X6)|~in(X6,X7))))&(![X8]:(![X9]:(in(X8,X9)|set_difference(singleton(X8),X9)=singleton(X8))))),inference(variable_rename,status(thm),[c19])).])).
% 0.50/0.71  cnf(c23,axiom,in(X71,X70)|set_difference(singleton(X71),X70)=singleton(X71),inference(split_conjunct,status(thm),[c21])).
% 0.50/0.71  cnf(c65,plain,in(skolem0001,singleton(skolem0002))|skolem0001=skolem0002,inference(resolution,status(thm),[c23, c8])).
% 0.50/0.71  cnf(c73,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c65, c44])).
% 0.50/0.71  cnf(c22,axiom,set_difference(singleton(X68),X69)!=singleton(X68)|~in(X68,X69),inference(split_conjunct,status(thm),[c21])).
% 0.50/0.71  cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001)|skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 0.50/0.71  cnf(c30,axiom,X41!=singleton(X42)|~in(X40,X41)|X40=X42,inference(split_conjunct,status(thm),[c29])).
% 0.50/0.71  cnf(c43,plain,~in(X43,singleton(X44))|X43=X44,inference(resolution,status(thm),[c30, reflexivity])).
% 0.50/0.71  cnf(c68,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c65, c43])).
% 0.50/0.71  cnf(c88,plain,set_difference(singleton(skolem0001),singleton(skolem0002))=singleton(skolem0001),inference(resolution,status(thm),[c68, c9])).
% 0.50/0.71  cnf(c700,plain,~in(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c88, c22])).
% 0.50/0.71  cnf(c706,plain,$false,inference(resolution,status(thm),[c700, c73])).
% 0.50/0.71  # SZS output end CNFRefutation
% 0.50/0.71  
% 0.50/0.71  # Initial clauses    : 18
% 0.50/0.71  # Processed clauses  : 93
% 0.50/0.71  # Factors computed   : 0
% 0.50/0.71  # Resolvents computed: 676
% 0.50/0.71  # Tautologies deleted: 3
% 0.50/0.71  # Forward subsumed   : 73
% 0.50/0.71  # Backward subsumed  : 3
% 0.50/0.71  # -------- CPU Time ---------
% 0.50/0.71  # User time          : 0.334 s
% 0.50/0.71  # System time        : 0.015 s
% 0.50/0.71  # Total time         : 0.349 s
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