%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:40:23 EDT 2024
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.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 : 300
% 0.14/0.36 % DateTime : Wed May 8 18:50:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.56 % Version: 1.5
% 0.21/0.56 % SZS status Theorem
% 0.21/0.56 % SZS output start CNFRefutation
% 0.21/0.56 fof(t69_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set|set_difference(singleton(A),B)=singleton(A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t69_zfmisc_1)).
% 0.21/0.56 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=empty_set|set_difference(singleton(A),B)=singleton(A))))),inference(assume_negation,[status(cth)],[t69_zfmisc_1])).
% 0.21/0.56 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_difference(singleton(A),B)!=empty_set&set_difference(singleton(A),B)!=singleton(A)))),inference(fof_nnf,[status(thm)],[c4])).
% 0.21/0.56 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_difference(singleton(X2),X3)!=empty_set&set_difference(singleton(X2),X3)!=singleton(X2)))),inference(variable_rename,[status(thm)],[c5])).
% 0.21/0.56 fof(c7,negated_conjecture,(set_difference(singleton(skolem0001),skolem0002)!=empty_set&set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001)),inference(skolemize,[status(esa)],[c6])).
% 0.21/0.56 cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.56 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.21/0.56 fof(c17,plain,(![A]:(![B]:((set_difference(singleton(A),B)!=empty_set|in(A,B))&(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(fof_nnf,[status(thm)],[l36_zfmisc_1])).
% 0.21/0.56 fof(c18,plain,((![A]:(![B]:(set_difference(singleton(A),B)!=empty_set|in(A,B))))&(![A]:(![B]:(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(shift_quantors,[status(thm)],[c17])).
% 0.21/0.56 fof(c20,plain,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))&(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))))),inference(shift_quantors,[status(thm)],[fof(c19,plain,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))))&(![X8]:(![X9]:(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))),inference(variable_rename,[status(thm)],[c18])).])).
% 0.21/0.56 cnf(c22,plain,~in(X46,X45)|set_difference(singleton(X46),X45)=empty_set,inference(split_conjunct,[status(thm)],[c20])).
% 0.21/0.56 cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001),inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.56 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)).
% 0.21/0.56 fof(c23,plain,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,[status(thm)],[l34_zfmisc_1])).
% 0.21/0.56 fof(c24,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)],[c23])).
% 0.21/0.56 fof(c25,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)],[c24])).
% 0.21/0.56 fof(c27,plain,(![X10]:(![X11]:(![X12]:(![X13]:((set_difference(singleton(X10),X11)!=singleton(X10)|~in(X10,X11))&(in(X12,X13)|set_difference(singleton(X12),X13)=singleton(X12))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X10]:(![X11]:(set_difference(singleton(X10),X11)!=singleton(X10)|~in(X10,X11))))&(![X12]:(![X13]:(in(X12,X13)|set_difference(singleton(X12),X13)=singleton(X12))))),inference(variable_rename,[status(thm)],[c25])).])).
% 0.21/0.56 cnf(c29,plain,in(X58,X57)|set_difference(singleton(X58),X57)=singleton(X58),inference(split_conjunct,[status(thm)],[c27])).
% 0.21/0.56 cnf(c49,plain,in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c29, c9])).
% 0.21/0.56 cnf(c60,plain,set_difference(singleton(skolem0001),skolem0002)=empty_set,inference(resolution,[status(thm)],[c49, c22])).
% 0.21/0.56 cnf(c91,plain,$false,inference(resolution,[status(thm)],[c60, c8])).
% 0.21/0.56 % SZS output end CNFRefutation
% 0.21/0.56
% 0.21/0.56 % Initial clauses : 17
% 0.21/0.56 % Processed clauses : 27
% 0.21/0.56 % Factors computed : 4
% 0.21/0.56 % Resolvents computed: 55
% 0.21/0.56 % Tautologies deleted: 4
% 0.21/0.56 % Forward subsumed : 6
% 0.21/0.56 % Backward subsumed : 0
% 0.21/0.56 % -------- CPU Time ---------
% 0.21/0.56 % User time : 0.181 s
% 0.21/0.56 % System time : 0.014 s
% 0.21/0.56 % Total time : 0.195 s
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