TSTP Solution File: SEU152+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 13:35:59 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% 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 : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 02:38:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55 # Version: 1.3
% 0.21/0.55 # SZS status Theorem
% 0.21/0.55 # SZS output start CNFRefutation
% 0.21/0.55 fof(l23_zfmisc_1,conjecture,(![A]:(![B]:(in(A,B)=>set_union2(singleton(A),B)=B))),input).
% 0.21/0.55 fof(c16,negated_conjecture,(~(![A]:(![B]:(in(A,B)=>set_union2(singleton(A),B)=B)))),inference(assume_negation,status(cth),[l23_zfmisc_1])).
% 0.21/0.55 fof(c17,negated_conjecture,(?[A]:(?[B]:(in(A,B)&set_union2(singleton(A),B)!=B))),inference(fof_nnf,status(thm),[c16])).
% 0.21/0.55 fof(c18,negated_conjecture,(?[X9]:(?[X10]:(in(X9,X10)&set_union2(singleton(X9),X10)!=X10))),inference(variable_rename,status(thm),[c17])).
% 0.21/0.55 fof(c19,negated_conjecture,(in(skolem0001,skolem0002)&set_union2(singleton(skolem0001),skolem0002)!=skolem0002),inference(skolemize,status(esa),[c18])).
% 0.21/0.55 cnf(c21,negated_conjecture,set_union2(singleton(skolem0001),skolem0002)!=skolem0002,inference(split_conjunct,status(thm),[c19])).
% 0.21/0.55 cnf(c20,negated_conjecture,in(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c19])).
% 0.21/0.55 fof(l2_zfmisc_1,axiom,(![A]:(![B]:(subset(singleton(A),B)<=>in(A,B)))),input).
% 0.21/0.55 fof(c10,axiom,(![A]:(![B]:((~subset(singleton(A),B)|in(A,B))&(~in(A,B)|subset(singleton(A),B))))),inference(fof_nnf,status(thm),[l2_zfmisc_1])).
% 0.21/0.55 fof(c11,axiom,((![A]:(![B]:(~subset(singleton(A),B)|in(A,B))))&(![A]:(![B]:(~in(A,B)|subset(singleton(A),B))))),inference(shift_quantors,status(thm),[c10])).
% 0.21/0.55 fof(c13,axiom,(![X5]:(![X6]:(![X7]:(![X8]:((~subset(singleton(X5),X6)|in(X5,X6))&(~in(X7,X8)|subset(singleton(X7),X8))))))),inference(shift_quantors,status(thm),[fof(c12,axiom,((![X5]:(![X6]:(~subset(singleton(X5),X6)|in(X5,X6))))&(![X7]:(![X8]:(~in(X7,X8)|subset(singleton(X7),X8))))),inference(variable_rename,status(thm),[c11])).])).
% 0.21/0.55 cnf(c15,axiom,~in(X40,X39)|subset(singleton(X40),X39),inference(split_conjunct,status(thm),[c13])).
% 0.21/0.55 cnf(c46,plain,subset(singleton(skolem0001),skolem0002),inference(resolution,status(thm),[c15, c20])).
% 0.21/0.55 fof(t12_xboole_1,axiom,(![A]:(![B]:(subset(A,B)=>set_union2(A,B)=B))),input).
% 0.21/0.55 fof(c4,axiom,(![A]:(![B]:(~subset(A,B)|set_union2(A,B)=B))),inference(fof_nnf,status(thm),[t12_xboole_1])).
% 0.21/0.55 fof(c5,axiom,(![X2]:(![X3]:(~subset(X2,X3)|set_union2(X2,X3)=X3))),inference(variable_rename,status(thm),[c4])).
% 0.21/0.55 cnf(c6,axiom,~subset(X50,X49)|set_union2(X50,X49)=X49,inference(split_conjunct,status(thm),[c5])).
% 0.21/0.55 cnf(c55,plain,set_union2(singleton(skolem0001),skolem0002)=skolem0002,inference(resolution,status(thm),[c6, c46])).
% 0.21/0.55 cnf(c82,plain,$false,inference(resolution,status(thm),[c55, c21])).
% 0.21/0.55 # SZS output end CNFRefutation
% 0.21/0.55
% 0.21/0.55 # Initial clauses : 18
% 0.21/0.55 # Processed clauses : 27
% 0.21/0.55 # Factors computed : 0
% 0.21/0.55 # Resolvents computed: 52
% 0.21/0.55 # Tautologies deleted: 1
% 0.21/0.55 # Forward subsumed : 15
% 0.21/0.55 # Backward subsumed : 0
% 0.21/0.55 # -------- CPU Time ---------
% 0.21/0.55 # User time : 0.185 s
% 0.21/0.55 # System time : 0.019 s
% 0.21/0.55 # Total time : 0.204 s
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