%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed May 8 19:39:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.16/0.54 % Version: 1.5
% 0.16/0.54 % SZS status Theorem
% 0.16/0.54 % SZS output start CNFRefutation
% 0.16/0.54 fof(t66_zfmisc_1,conjecture,(![A]:(![B]:(~((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t66_zfmisc_1)).
% 0.16/0.54 fof(c4,negated_conjecture,(~(![A]:(![B]:(~((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B)))))),inference(assume_negation,[status(cth)],[t66_zfmisc_1])).
% 0.16/0.54 fof(c5,negated_conjecture,(?[A]:(?[B]:((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B)))),inference(fof_nnf,[status(thm)],[c4])).
% 0.16/0.54 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((set_difference(X2,singleton(X3))=empty_set&X2!=empty_set)&X2!=singleton(X3)))),inference(variable_rename,[status(thm)],[c5])).
% 0.16/0.54 fof(c7,negated_conjecture,((set_difference(skolem0001,singleton(skolem0002))=empty_set&skolem0001!=empty_set)&skolem0001!=singleton(skolem0002)),inference(skolemize,[status(esa)],[c6])).
% 0.16/0.54 cnf(c9,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.16/0.54 cnf(c10,negated_conjecture,skolem0001!=singleton(skolem0002),inference(split_conjunct,[status(thm)],[c7])).
% 0.16/0.54 cnf(c8,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.16/0.54 fof(t37_xboole_1,axiom,(![A]:(![B]:(set_difference(A,B)=empty_set<=>subset(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t37_xboole_1)).
% 0.16/0.54 fof(c11,plain,(![A]:(![B]:((set_difference(A,B)!=empty_set|subset(A,B))&(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(fof_nnf,[status(thm)],[t37_xboole_1])).
% 0.16/0.54 fof(c12,plain,((![A]:(![B]:(set_difference(A,B)!=empty_set|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(shift_quantors,[status(thm)],[c11])).
% 0.16/0.54 fof(c14,plain,(![X4]:(![X5]:(![X6]:(![X7]:((set_difference(X4,X5)!=empty_set|subset(X4,X5))&(~subset(X6,X7)|set_difference(X6,X7)=empty_set)))))),inference(shift_quantors,[status(thm)],[fof(c13,plain,((![X4]:(![X5]:(set_difference(X4,X5)!=empty_set|subset(X4,X5))))&(![X6]:(![X7]:(~subset(X6,X7)|set_difference(X6,X7)=empty_set)))),inference(variable_rename,[status(thm)],[c12])).])).
% 0.16/0.54 cnf(c15,plain,set_difference(X40,X39)!=empty_set|subset(X40,X39),inference(split_conjunct,[status(thm)],[c14])).
% 0.16/0.54 cnf(c50,plain,subset(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c15, c8])).
% 0.16/0.54 fof(l4_zfmisc_1,axiom,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_zfmisc_1)).
% 0.16/0.54 fof(c27,plain,(![A]:(![B]:((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(fof_nnf,[status(thm)],[l4_zfmisc_1])).
% 0.16/0.54 fof(c28,plain,((![A]:(![B]:(~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))&(![A]:(![B]:((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(shift_quantors,[status(thm)],[c27])).
% 0.16/0.54 fof(c30,plain,(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))&((X13!=empty_set&X13!=singleton(X14))|subset(X13,singleton(X14)))))))),inference(shift_quantors,[status(thm)],[fof(c29,plain,((![X11]:(![X12]:(~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))))&(![X13]:(![X14]:((X13!=empty_set&X13!=singleton(X14))|subset(X13,singleton(X14)))))),inference(variable_rename,[status(thm)],[c28])).])).
% 0.16/0.54 fof(c31,plain,(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))&((X13!=empty_set|subset(X13,singleton(X14)))&(X13!=singleton(X14)|subset(X13,singleton(X14))))))))),inference(distribute,[status(thm)],[c30])).
% 0.16/0.54 cnf(c32,plain,~subset(X54,singleton(X53))|X54=empty_set|X54=singleton(X53),inference(split_conjunct,[status(thm)],[c31])).
% 0.16/0.54 cnf(c71,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002),inference(resolution,[status(thm)],[c32, c50])).
% 0.16/0.54 cnf(c346,plain,skolem0001=empty_set,inference(resolution,[status(thm)],[c71, c10])).
% 0.16/0.54 cnf(c368,plain,$false,inference(resolution,[status(thm)],[c346, c9])).
% 0.16/0.54 % SZS output end CNFRefutation
% 0.16/0.54
% 0.16/0.54 % Initial clauses : 19
% 0.16/0.54 % Processed clauses : 72
% 0.16/0.54 % Factors computed : 3
% 0.16/0.54 % Resolvents computed: 330
% 0.16/0.54 % Tautologies deleted: 3
% 0.16/0.54 % Forward subsumed : 46
% 0.16/0.54 % Backward subsumed : 3
% 0.16/0.54 % -------- CPU Time ---------
% 0.16/0.54 % User time : 0.224 s
% 0.16/0.54 % System time : 0.016 s
% 0.16/0.54 % Total time : 0.240 s
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