TSTP Solution File: SET924+1 by PyRes---1.5
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- Process Solution
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% File : PyRes---1.5
% Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 : 300s
% DateTime : Thu May 9 17:40:22 EDT 2024
% Result : Theorem 0.42s 0.57s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 19:02:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.42/0.57 % Version: 1.5
% 0.42/0.57 % SZS status Theorem
% 0.42/0.57 % SZS output start CNFRefutation
% 0.42/0.57 fof(l34_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l34_zfmisc_1)).
% 0.42/0.57 fof(c4,plain,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,[status(thm)],[l34_zfmisc_1])).
% 0.42/0.57 fof(c5,plain,(![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])).
% 0.42/0.57 fof(c6,plain,((![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])).
% 0.42/0.57 fof(c8,plain,(![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,plain,((![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])).])).
% 0.42/0.57 cnf(c10,plain,in(X50,X49)|set_difference(singleton(X50),X49)=singleton(X50),inference(split_conjunct,[status(thm)],[c8])).
% 0.42/0.57 fof(t67_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t67_zfmisc_1)).
% 0.42/0.57 fof(c11,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B)))))),inference(assume_negation,[status(cth)],[t67_zfmisc_1])).
% 0.42/0.57 fof(c12,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B))))),inference(fof_simplification,[status(thm)],[c11])).
% 0.42/0.57 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])).
% 0.42/0.57 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])).
% 0.42/0.57 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])).
% 0.42/0.57 cnf(c16,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001)|in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 0.42/0.57 cnf(c50,plain,in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c16, c10])).
% 0.42/0.57 cnf(c9,plain,set_difference(singleton(X47),X48)!=singleton(X47)|~in(X47,X48),inference(split_conjunct,[status(thm)],[c8])).
% 0.42/0.57 cnf(c17,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)=singleton(skolem0001)|~in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 0.42/0.57 cnf(c69,plain,set_difference(singleton(skolem0001),skolem0002)=singleton(skolem0001),inference(resolution,[status(thm)],[c17, c50])).
% 0.42/0.57 cnf(c91,plain,~in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c69, c9])).
% 0.42/0.57 cnf(c96,plain,$false,inference(resolution,[status(thm)],[c91, c50])).
% 0.42/0.57 % SZS output end CNFRefutation
% 0.42/0.57
% 0.42/0.57 % Initial clauses : 14
% 0.42/0.57 % Processed clauses : 30
% 0.42/0.57 % Factors computed : 4
% 0.42/0.57 % Resolvents computed: 67
% 0.42/0.57 % Tautologies deleted: 4
% 0.42/0.57 % Forward subsumed : 8
% 0.42/0.57 % Backward subsumed : 2
% 0.42/0.57 % -------- CPU Time ---------
% 0.42/0.57 % User time : 0.173 s
% 0.42/0.57 % System time : 0.021 s
% 0.42/0.57 % Total time : 0.194 s
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