%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:40:43 EDT 2024
% Result : Theorem 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n009.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 : 300
% 0.12/0.33 % DateTime : Wed May 8 11:08:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.37/0.57 % Version: 1.5
% 0.37/0.57 % SZS status Theorem
% 0.37/0.57 % SZS output start CNFRefutation
% 0.37/0.57 fof(t65_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(A,singleton(B))=A<=>(~in(B,A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t65_zfmisc_1)).
% 0.37/0.57 fof(c10,negated_conjecture,(~(![A]:(![B]:(set_difference(A,singleton(B))=A<=>(~in(B,A)))))),inference(assume_negation,[status(cth)],[t65_zfmisc_1])).
% 0.37/0.57 fof(c11,negated_conjecture,(~(![A]:(![B]:(set_difference(A,singleton(B))=A<=>~in(B,A))))),inference(fof_simplification,[status(thm)],[c10])).
% 0.37/0.57 fof(c12,negated_conjecture,(?[A]:(?[B]:((set_difference(A,singleton(B))!=A|in(B,A))&(set_difference(A,singleton(B))=A|~in(B,A))))),inference(fof_nnf,[status(thm)],[c11])).
% 0.37/0.57 fof(c13,negated_conjecture,(?[X6]:(?[X7]:((set_difference(X6,singleton(X7))!=X6|in(X7,X6))&(set_difference(X6,singleton(X7))=X6|~in(X7,X6))))),inference(variable_rename,[status(thm)],[c12])).
% 0.37/0.57 fof(c14,negated_conjecture,((set_difference(skolem0001,singleton(skolem0002))!=skolem0001|in(skolem0002,skolem0001))&(set_difference(skolem0001,singleton(skolem0002))=skolem0001|~in(skolem0002,skolem0001))),inference(skolemize,[status(esa)],[c13])).
% 0.37/0.57 cnf(c15,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))!=skolem0001|in(skolem0002,skolem0001),inference(split_conjunct,[status(thm)],[c14])).
% 0.37/0.57 fof(symmetry_r1_xboole_0,axiom,(![A]:(![B]:(disjoint(A,B)=>disjoint(B,A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetry_r1_xboole_0)).
% 0.37/0.57 fof(c17,plain,(![A]:(![B]:(~disjoint(A,B)|disjoint(B,A)))),inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])).
% 0.37/0.57 fof(c18,plain,(![X8]:(![X9]:(~disjoint(X8,X9)|disjoint(X9,X8)))),inference(variable_rename,[status(thm)],[c17])).
% 0.37/0.57 cnf(c19,plain,~disjoint(X24,X23)|disjoint(X23,X24),inference(split_conjunct,[status(thm)],[c18])).
% 0.37/0.57 fof(l28_zfmisc_1,axiom,(![A]:(![B]:((~in(A,B))=>disjoint(singleton(A),B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 0.37/0.57 fof(c20,plain,(![A]:(![B]:(~in(A,B)=>disjoint(singleton(A),B)))),inference(fof_simplification,[status(thm)],[l28_zfmisc_1])).
% 0.37/0.57 fof(c21,plain,(![A]:(![B]:(in(A,B)|disjoint(singleton(A),B)))),inference(fof_nnf,[status(thm)],[c20])).
% 0.37/0.57 fof(c22,plain,(![X10]:(![X11]:(in(X10,X11)|disjoint(singleton(X10),X11)))),inference(variable_rename,[status(thm)],[c21])).
% 0.37/0.57 cnf(c23,plain,in(X34,X35)|disjoint(singleton(X34),X35),inference(split_conjunct,[status(thm)],[c22])).
% 0.37/0.57 cnf(c40,plain,in(X56,X55)|disjoint(X55,singleton(X56)),inference(resolution,[status(thm)],[c23, c19])).
% 0.37/0.57 fof(t83_xboole_1,axiom,(![A]:(![B]:(disjoint(A,B)<=>set_difference(A,B)=A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t83_xboole_1)).
% 0.37/0.57 fof(c4,plain,(![A]:(![B]:((~disjoint(A,B)|set_difference(A,B)=A)&(set_difference(A,B)!=A|disjoint(A,B))))),inference(fof_nnf,[status(thm)],[t83_xboole_1])).
% 0.37/0.57 fof(c5,plain,((![A]:(![B]:(~disjoint(A,B)|set_difference(A,B)=A)))&(![A]:(![B]:(set_difference(A,B)!=A|disjoint(A,B))))),inference(shift_quantors,[status(thm)],[c4])).
% 0.37/0.57 fof(c7,plain,(![X2]:(![X3]:(![X4]:(![X5]:((~disjoint(X2,X3)|set_difference(X2,X3)=X2)&(set_difference(X4,X5)!=X4|disjoint(X4,X5))))))),inference(shift_quantors,[status(thm)],[fof(c6,plain,((![X2]:(![X3]:(~disjoint(X2,X3)|set_difference(X2,X3)=X2)))&(![X4]:(![X5]:(set_difference(X4,X5)!=X4|disjoint(X4,X5))))),inference(variable_rename,[status(thm)],[c5])).])).
% 0.37/0.57 cnf(c8,plain,~disjoint(X68,X69)|set_difference(X68,X69)=X68,inference(split_conjunct,[status(thm)],[c7])).
% 0.37/0.57 cnf(c66,plain,set_difference(X119,singleton(X118))=X119|in(X118,X119),inference(resolution,[status(thm)],[c8, c40])).
% 0.37/0.57 cnf(c130,plain,in(skolem0002,skolem0001),inference(resolution,[status(thm)],[c66, c15])).
% 0.37/0.57 fof(l25_zfmisc_1,axiom,(![A]:(![B]:(~(disjoint(singleton(A),B)&in(A,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l25_zfmisc_1)).
% 0.37/0.57 fof(c24,plain,(![A]:(![B]:(~disjoint(singleton(A),B)|~in(A,B)))),inference(fof_nnf,[status(thm)],[l25_zfmisc_1])).
% 0.37/0.57 fof(c25,plain,(![X12]:(![X13]:(~disjoint(singleton(X12),X13)|~in(X12,X13)))),inference(variable_rename,[status(thm)],[c24])).
% 0.37/0.57 cnf(c26,plain,~disjoint(singleton(X43),X44)|~in(X43,X44),inference(split_conjunct,[status(thm)],[c25])).
% 0.37/0.57 cnf(c9,plain,set_difference(X74,X73)!=X74|disjoint(X74,X73),inference(split_conjunct,[status(thm)],[c7])).
% 0.37/0.57 cnf(c16,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))=skolem0001|~in(skolem0002,skolem0001),inference(split_conjunct,[status(thm)],[c14])).
% 0.37/0.57 cnf(c136,plain,set_difference(skolem0001,singleton(skolem0002))=skolem0001,inference(resolution,[status(thm)],[c66, c16])).
% 0.37/0.57 cnf(c179,plain,disjoint(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c136, c9])).
% 0.37/0.57 cnf(c185,plain,disjoint(singleton(skolem0002),skolem0001),inference(resolution,[status(thm)],[c179, c19])).
% 0.37/0.57 cnf(c190,plain,~in(skolem0002,skolem0001),inference(resolution,[status(thm)],[c185, c26])).
% 0.37/0.57 cnf(c193,plain,$false,inference(resolution,[status(thm)],[c190, c130])).
% 0.37/0.57 % SZS output end CNFRefutation
% 0.37/0.57
% 0.37/0.57 % Initial clauses : 17
% 0.37/0.57 % Processed clauses : 45
% 0.37/0.57 % Factors computed : 8
% 0.37/0.57 % Resolvents computed: 154
% 0.37/0.57 % Tautologies deleted: 3
% 0.37/0.57 % Forward subsumed : 34
% 0.37/0.57 % Backward subsumed : 2
% 0.37/0.57 % -------- CPU Time ---------
% 0.37/0.57 % User time : 0.222 s
% 0.37/0.57 % System time : 0.011 s
% 0.37/0.57 % Total time : 0.233 s
%------------------------------------------------------------------------------