TSTP Solution File: SET924+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 04:41:21 EDT 2022
% Result : Theorem 0.19s 0.52s
% 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
% 0.12/0.12 % Problem : SET924+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.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 15:33:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.52 # Version: 1.3
% 0.19/0.52 # SZS status Theorem
% 0.19/0.52 # SZS output start CNFRefutation
% 0.19/0.52 fof(l34_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),input).
% 0.19/0.52 fof(c4,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,status(thm),[l34_zfmisc_1])).
% 0.19/0.52 fof(c5,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),[c4])).
% 0.19/0.52 fof(c6,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),[c5])).
% 0.19/0.52 fof(c8,axiom,(![X2]:(![X3]:(![X4]:(![X5]:((set_difference(singleton(X2),X3)!=singleton(X2)|~in(X2,X3))&(in(X4,X5)|set_difference(singleton(X4),X5)=singleton(X4))))))),inference(shift_quantors,status(thm),[fof(c7,axiom,((![X2]:(![X3]:(set_difference(singleton(X2),X3)!=singleton(X2)|~in(X2,X3))))&(![X4]:(![X5]:(in(X4,X5)|set_difference(singleton(X4),X5)=singleton(X4))))),inference(variable_rename,status(thm),[c6])).])).
% 0.19/0.52 cnf(c10,axiom,in(X41,X40)|set_difference(singleton(X41),X40)=singleton(X41),inference(split_conjunct,status(thm),[c8])).
% 0.19/0.52 fof(t67_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),input).
% 0.19/0.52 fof(c11,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B)))))),inference(assume_negation,status(cth),[t67_zfmisc_1])).
% 0.19/0.52 fof(c12,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B))))),inference(fof_simplification,status(thm),[c11])).
% 0.19/0.52 fof(c13,negated_conjecture,(?[A]:(?[B]:((set_difference(singleton(A),B)!=singleton(A)|in(A,B))&(set_difference(singleton(A),B)=singleton(A)|~in(A,B))))),inference(fof_nnf,status(thm),[c12])).
% 0.19/0.52 fof(c14,negated_conjecture,(?[X6]:(?[X7]:((set_difference(singleton(X6),X7)!=singleton(X6)|in(X6,X7))&(set_difference(singleton(X6),X7)=singleton(X6)|~in(X6,X7))))),inference(variable_rename,status(thm),[c13])).
% 0.19/0.52 fof(c15,negated_conjecture,((set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001)|in(skolem0001,skolem0002))&(set_difference(singleton(skolem0001),skolem0002)=singleton(skolem0001)|~in(skolem0001,skolem0002))),inference(skolemize,status(esa),[c14])).
% 0.19/0.52 cnf(c16,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001)|in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 0.19/0.52 cnf(c56,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c16, c10])).
% 0.19/0.52 cnf(c9,axiom,set_difference(singleton(X39),X38)!=singleton(X39)|~in(X39,X38),inference(split_conjunct,status(thm),[c8])).
% 0.19/0.52 cnf(c17,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)=singleton(skolem0001)|~in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 0.19/0.52 cnf(c77,plain,set_difference(singleton(skolem0001),skolem0002)=singleton(skolem0001),inference(resolution,status(thm),[c17, c10])).
% 0.19/0.52 cnf(c81,plain,~in(skolem0001,skolem0002),inference(resolution,status(thm),[c77, c9])).
% 0.19/0.52 cnf(c90,plain,$false,inference(resolution,status(thm),[c81, c56])).
% 0.19/0.52 # SZS output end CNFRefutation
% 0.19/0.52
% 0.19/0.52 # Initial clauses : 14
% 0.19/0.52 # Processed clauses : 27
% 0.19/0.52 # Factors computed : 0
% 0.19/0.52 # Resolvents computed: 62
% 0.19/0.52 # Tautologies deleted: 3
% 0.19/0.52 # Forward subsumed : 10
% 0.19/0.52 # Backward subsumed : 2
% 0.19/0.52 # -------- CPU Time ---------
% 0.19/0.52 # User time : 0.173 s
% 0.19/0.52 # System time : 0.011 s
% 0.19/0.52 # Total time : 0.184 s
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