%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:40:07 EDT 2024
% Result : Theorem 0.50s 0.67s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 19:03:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.50/0.67 % Version: 1.5
% 0.50/0.67 % SZS status Theorem
% 0.50/0.67 % SZS output start CNFRefutation
% 0.50/0.67 fof(thV12,conjecture,(![A]:(member(A,on)=>member(A,suc(A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thV12)).
% 0.50/0.67 fof(c18,negated_conjecture,(~(![A]:(member(A,on)=>member(A,suc(A))))),inference(assume_negation,[status(cth)],[thV12])).
% 0.50/0.67 fof(c19,negated_conjecture,(?[A]:(member(A,on)&~member(A,suc(A)))),inference(fof_nnf,[status(thm)],[c18])).
% 0.50/0.67 fof(c20,negated_conjecture,(?[X2]:(member(X2,on)&~member(X2,suc(X2)))),inference(variable_rename,[status(thm)],[c19])).
% 0.50/0.67 fof(c21,negated_conjecture,(member(skolem0001,on)&~member(skolem0001,suc(skolem0001))),inference(skolemize,[status(esa)],[c20])).
% 0.50/0.67 cnf(c23,negated_conjecture,~member(skolem0001,suc(skolem0001)),inference(split_conjunct,[status(thm)],[c21])).
% 0.50/0.67 cnf(reflexivity,axiom,X112=X112,theory(equality)).
% 0.50/0.67 fof(singleton,axiom,(![X]:(![A]:(member(X,singleton(A))<=>X=A))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', singleton)).
% 0.50/0.67 fof(c139,plain,(![X]:(![A]:((~member(X,singleton(A))|X=A)&(X!=A|member(X,singleton(A)))))),inference(fof_nnf,[status(thm)],[singleton])).
% 0.50/0.67 fof(c140,plain,((![X]:(![A]:(~member(X,singleton(A))|X=A)))&(![X]:(![A]:(X!=A|member(X,singleton(A)))))),inference(shift_quantors,[status(thm)],[c139])).
% 0.50/0.67 fof(c142,plain,(![X75]:(![X76]:(![X77]:(![X78]:((~member(X75,singleton(X76))|X75=X76)&(X77!=X78|member(X77,singleton(X78)))))))),inference(shift_quantors,[status(thm)],[fof(c141,plain,((![X75]:(![X76]:(~member(X75,singleton(X76))|X75=X76)))&(![X77]:(![X78]:(X77!=X78|member(X77,singleton(X78)))))),inference(variable_rename,[status(thm)],[c140])).])).
% 0.50/0.67 cnf(c144,plain,X161!=X160|member(X161,singleton(X160)),inference(split_conjunct,[status(thm)],[c142])).
% 0.50/0.67 cnf(c213,plain,member(X162,singleton(X162)),inference(resolution,[status(thm)],[c144, reflexivity])).
% 0.50/0.67 fof(union,axiom,(![X]:(![A]:(![B]:(member(X,union(A,B))<=>(member(X,A)|member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', union)).
% 0.50/0.67 fof(c157,plain,(![X]:(![A]:(![B]:((~member(X,union(A,B))|(member(X,A)|member(X,B)))&((~member(X,A)&~member(X,B))|member(X,union(A,B))))))),inference(fof_nnf,[status(thm)],[union])).
% 0.50/0.67 fof(c158,plain,((![X]:(![A]:(![B]:(~member(X,union(A,B))|(member(X,A)|member(X,B))))))&(![X]:(![A]:(![B]:((~member(X,A)&~member(X,B))|member(X,union(A,B))))))),inference(shift_quantors,[status(thm)],[c157])).
% 0.50/0.67 fof(c160,plain,(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:((~member(X86,union(X87,X88))|(member(X86,X87)|member(X86,X88)))&((~member(X89,X90)&~member(X89,X91))|member(X89,union(X90,X91)))))))))),inference(shift_quantors,[status(thm)],[fof(c159,plain,((![X86]:(![X87]:(![X88]:(~member(X86,union(X87,X88))|(member(X86,X87)|member(X86,X88))))))&(![X89]:(![X90]:(![X91]:((~member(X89,X90)&~member(X89,X91))|member(X89,union(X90,X91))))))),inference(variable_rename,[status(thm)],[c158])).])).
% 0.50/0.67 fof(c161,plain,(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:((~member(X86,union(X87,X88))|(member(X86,X87)|member(X86,X88)))&((~member(X89,X90)|member(X89,union(X90,X91)))&(~member(X89,X91)|member(X89,union(X90,X91))))))))))),inference(distribute,[status(thm)],[c160])).
% 0.50/0.67 cnf(c164,plain,~member(X235,X233)|member(X235,union(X234,X233)),inference(split_conjunct,[status(thm)],[c161])).
% 0.50/0.67 cnf(c256,plain,member(X236,union(X237,singleton(X236))),inference(resolution,[status(thm)],[c164, c213])).
% 0.50/0.67 fof(successor,axiom,(![A]:(![X]:(member(X,suc(A))<=>member(X,union(A,singleton(A)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax', successor)).
% 0.50/0.67 fof(c24,plain,(![A]:(![X]:((~member(X,suc(A))|member(X,union(A,singleton(A))))&(~member(X,union(A,singleton(A)))|member(X,suc(A)))))),inference(fof_nnf,[status(thm)],[successor])).
% 0.50/0.67 fof(c25,plain,((![A]:(![X]:(~member(X,suc(A))|member(X,union(A,singleton(A))))))&(![A]:(![X]:(~member(X,union(A,singleton(A)))|member(X,suc(A)))))),inference(shift_quantors,[status(thm)],[c24])).
% 0.50/0.67 fof(c27,plain,(![X3]:(![X4]:(![X5]:(![X6]:((~member(X4,suc(X3))|member(X4,union(X3,singleton(X3))))&(~member(X6,union(X5,singleton(X5)))|member(X6,suc(X5)))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X3]:(![X4]:(~member(X4,suc(X3))|member(X4,union(X3,singleton(X3))))))&(![X5]:(![X6]:(~member(X6,union(X5,singleton(X5)))|member(X6,suc(X5)))))),inference(variable_rename,[status(thm)],[c25])).])).
% 0.50/0.67 cnf(c29,plain,~member(X343,union(X344,singleton(X344)))|member(X343,suc(X344)),inference(split_conjunct,[status(thm)],[c27])).
% 0.50/0.67 cnf(c369,plain,member(X345,suc(X345)),inference(resolution,[status(thm)],[c29, c256])).
% 0.50/0.67 cnf(c375,plain,$false,inference(resolution,[status(thm)],[c369, c23])).
% 0.50/0.67 % SZS output end CNFRefutation
% 0.50/0.67
% 0.50/0.67 % Initial clauses : 101
% 0.50/0.67 % Processed clauses : 94
% 0.50/0.67 % Factors computed : 7
% 0.50/0.67 % Resolvents computed: 176
% 0.50/0.67 % Tautologies deleted: 3
% 0.50/0.67 % Forward subsumed : 24
% 0.50/0.67 % Backward subsumed : 0
% 0.50/0.67 % -------- CPU Time ---------
% 0.50/0.67 % User time : 0.285 s
% 0.50/0.67 % System time : 0.023 s
% 0.50/0.67 % Total time : 0.308 s
%------------------------------------------------------------------------------