TSTP Solution File: SET900+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n004.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 Jul 10 00:51:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.54 # Version: 1.3
% 0.37/0.54 # SZS status Theorem
% 0.37/0.54 # SZS output start CNFRefutation
% 0.37/0.54 fof(t41_zfmisc_1,conjecture,(![A]:(![B]:(~((A!=singleton(B)&A!=empty_set)&(![C]:(~(in(C,A)&C!=B))))))),input).
% 0.37/0.54 fof(c9,negated_conjecture,(~(![A]:(![B]:(~((A!=singleton(B)&A!=empty_set)&(![C]:(~(in(C,A)&C!=B)))))))),inference(assume_negation,status(cth),[t41_zfmisc_1])).
% 0.37/0.54 fof(c10,negated_conjecture,(?[A]:(?[B]:((A!=singleton(B)&A!=empty_set)&(![C]:(~in(C,A)|C=B))))),inference(fof_nnf,status(thm),[c9])).
% 0.37/0.54 fof(c11,negated_conjecture,(?[X5]:(?[X6]:((X5!=singleton(X6)&X5!=empty_set)&(![X7]:(~in(X7,X5)|X7=X6))))),inference(variable_rename,status(thm),[c10])).
% 0.37/0.54 fof(c13,negated_conjecture,(![X7]:((skolem0002!=singleton(skolem0003)&skolem0002!=empty_set)&(~in(X7,skolem0002)|X7=skolem0003))),inference(shift_quantors,status(thm),[fof(c12,negated_conjecture,((skolem0002!=singleton(skolem0003)&skolem0002!=empty_set)&(![X7]:(~in(X7,skolem0002)|X7=skolem0003))),inference(skolemize,status(esa),[c11])).])).
% 0.37/0.54 cnf(c15,negated_conjecture,skolem0002!=empty_set,inference(split_conjunct,status(thm),[c13])).
% 0.37/0.54 cnf(c14,negated_conjecture,skolem0002!=singleton(skolem0003),inference(split_conjunct,status(thm),[c13])).
% 0.37/0.54 cnf(c16,negated_conjecture,~in(X26,skolem0002)|X26=skolem0003,inference(split_conjunct,status(thm),[c13])).
% 0.37/0.54 fof(l45_zfmisc_1,axiom,(![A]:(![B]:(~((A!=singleton(B)&A!=empty_set)&(![C]:(~(in(C,A)&C!=B))))))),input).
% 0.37/0.54 fof(c3,axiom,(![A]:(![B]:((A=singleton(B)|A=empty_set)|(?[C]:(in(C,A)&C!=B))))),inference(fof_nnf,status(thm),[l45_zfmisc_1])).
% 0.37/0.54 fof(c4,axiom,(![X2]:(![X3]:((X2=singleton(X3)|X2=empty_set)|(?[X4]:(in(X4,X2)&X4!=X3))))),inference(variable_rename,status(thm),[c3])).
% 0.37/0.54 fof(c5,axiom,(![X2]:(![X3]:((X2=singleton(X3)|X2=empty_set)|(in(skolem0001(X2,X3),X2)&skolem0001(X2,X3)!=X3)))),inference(skolemize,status(esa),[c4])).
% 0.37/0.54 fof(c6,axiom,(![X2]:(![X3]:(((X2=singleton(X3)|X2=empty_set)|in(skolem0001(X2,X3),X2))&((X2=singleton(X3)|X2=empty_set)|skolem0001(X2,X3)!=X3)))),inference(distribute,status(thm),[c5])).
% 0.37/0.54 cnf(c7,axiom,X34=singleton(X35)|X34=empty_set|in(skolem0001(X34,X35),X34),inference(split_conjunct,status(thm),[c6])).
% 0.37/0.54 cnf(c37,plain,skolem0002=empty_set|in(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c7, c14])).
% 0.37/0.54 cnf(c49,plain,in(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c37, c15])).
% 0.37/0.54 cnf(c55,plain,skolem0001(skolem0002,skolem0003)=skolem0003,inference(resolution,status(thm),[c49, c16])).
% 0.37/0.54 cnf(c8,axiom,X36=singleton(X37)|X36=empty_set|skolem0001(X36,X37)!=X37,inference(split_conjunct,status(thm),[c6])).
% 0.37/0.54 cnf(c65,plain,skolem0002=singleton(skolem0003)|skolem0002=empty_set,inference(resolution,status(thm),[c8, c55])).
% 0.37/0.54 cnf(c109,plain,skolem0002=empty_set,inference(resolution,status(thm),[c65, c14])).
% 0.37/0.54 cnf(c119,plain,$false,inference(resolution,status(thm),[c109, c15])).
% 0.37/0.54 # SZS output end CNFRefutation
% 0.37/0.54
% 0.37/0.54 # Initial clauses : 15
% 0.37/0.54 # Processed clauses : 30
% 0.37/0.54 # Factors computed : 0
% 0.37/0.54 # Resolvents computed: 93
% 0.37/0.54 # Tautologies deleted: 2
% 0.37/0.54 # Forward subsumed : 6
% 0.37/0.54 # Backward subsumed : 2
% 0.37/0.54 # -------- CPU Time ---------
% 0.37/0.54 # User time : 0.188 s
% 0.37/0.54 # System time : 0.017 s
% 0.37/0.54 # Total time : 0.205 s
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