%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO225+2 : TPTP v8.1.2. Released v3.3.0.
% 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 17:21:37 EDT 2024
% Result : Theorem 0.41s 0.60s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO225+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu May 9 07:51:22 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.41/0.60 % Version: 1.5
% 0.41/0.60 % SZS status Theorem
% 0.41/0.60 % SZS output start CNFRefutation
% 0.41/0.60 fof(apart1,axiom,(![X]:(~distinct_points(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.41/0.60 fof(c75,plain,(![X]:~distinct_points(X,X)),inference(fof_simplification,[status(thm)],[apart1])).
% 0.41/0.60 fof(c76,plain,(![X43]:~distinct_points(X43,X43)),inference(variable_rename,[status(thm)],[c75])).
% 0.41/0.60 cnf(c77,plain,~distinct_points(X47,X47),inference(split_conjunct,[status(thm)],[c76])).
% 0.41/0.60 fof(con,conjecture,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.41/0.60 fof(c0,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>((~apart_point_and_line(A,X))&(~apart_point_and_line(B,X))))))))),inference(assume_negation,[status(cth)],[con])).
% 0.41/0.60 fof(c1,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(~apart_point_and_line(A,X)&~apart_point_and_line(B,X)))))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.41/0.60 fof(c2,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&(![X]:(line(X)&(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(fof_nnf,[status(thm)],[c1])).
% 0.41/0.60 fof(c3,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&((![X]:line(X))&(![X]:(apart_point_and_line(A,X)|apart_point_and_line(B,X))))))),inference(shift_quantors,[status(thm)],[c2])).
% 0.41/0.60 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(((point(X2)&point(X3))&distinct_points(X2,X3))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(X2,X5)|apart_point_and_line(X3,X5))))))),inference(variable_rename,[status(thm)],[c3])).
% 0.41/0.60 fof(c6,negated_conjecture,(![X4]:(![X5]:(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&(line(X4)&(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5)))))),inference(shift_quantors,[status(thm)],[fof(c5,negated_conjecture,(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&((![X4]:line(X4))&(![X5]:(apart_point_and_line(skolem0001,X5)|apart_point_and_line(skolem0002,X5))))),inference(skolemize,[status(esa)],[c4])).])).
% 0.41/0.60 cnf(c9,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.41/0.60 fof(apart4,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(distinct_points(X,Z)|distinct_points(Y,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.41/0.60 fof(c64,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(fof_nnf,[status(thm)],[apart4])).
% 0.41/0.60 fof(c65,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(distinct_points(X,Z)|distinct_points(Y,Z)))))),inference(shift_quantors,[status(thm)],[c64])).
% 0.41/0.60 fof(c67,plain,(![X38]:(![X39]:(![X40]:(~distinct_points(X38,X39)|(distinct_points(X38,X40)|distinct_points(X39,X40)))))),inference(shift_quantors,[status(thm)],[fof(c66,plain,(![X38]:(![X39]:(~distinct_points(X38,X39)|(![X40]:(distinct_points(X38,X40)|distinct_points(X39,X40)))))),inference(variable_rename,[status(thm)],[c65])).])).
% 0.41/0.60 cnf(c68,plain,~distinct_points(X69,X71)|distinct_points(X69,X70)|distinct_points(X71,X70),inference(split_conjunct,[status(thm)],[c67])).
% 0.41/0.60 cnf(c82,plain,distinct_points(skolem0001,X74)|distinct_points(skolem0002,X74),inference(resolution,[status(thm)],[c68, c9])).
% 0.41/0.60 cnf(c83,plain,distinct_points(skolem0002,skolem0001),inference(resolution,[status(thm)],[c82, c77])).
% 0.41/0.60 fof(con1,axiom,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>(distinct_points(Z,X)&distinct_points(Z,Y))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.41/0.60 fof(c47,plain,(![X]:(![Y]:(![Z]:(~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(fof_nnf,[status(thm)],[con1])).
% 0.41/0.60 fof(c48,plain,(![X]:(![Y]:(~distinct_points(X,Y)|(![Z]:(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))))),inference(shift_quantors,[status(thm)],[c47])).
% 0.41/0.60 fof(c50,plain,(![X29]:(![X30]:(![X31]:(~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|(distinct_points(X31,X29)&distinct_points(X31,X30))))))),inference(shift_quantors,[status(thm)],[fof(c49,plain,(![X29]:(![X30]:(~distinct_points(X29,X30)|(![X31]:(~apart_point_and_line(X31,line_connecting(X29,X30))|(distinct_points(X31,X29)&distinct_points(X31,X30))))))),inference(variable_rename,[status(thm)],[c48])).])).
% 0.41/0.60 fof(c51,plain,(![X29]:(![X30]:(![X31]:((~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|distinct_points(X31,X29)))&(~distinct_points(X29,X30)|(~apart_point_and_line(X31,line_connecting(X29,X30))|distinct_points(X31,X30))))))),inference(distribute,[status(thm)],[c50])).
% 0.41/0.60 cnf(c53,plain,~distinct_points(X113,X115)|~apart_point_and_line(X114,line_connecting(X113,X115))|distinct_points(X114,X115),inference(split_conjunct,[status(thm)],[c51])).
% 0.41/0.60 cnf(c84,plain,distinct_points(skolem0002,X97)|distinct_points(skolem0001,X98)|distinct_points(X97,X98),inference(resolution,[status(thm)],[c82, c68])).
% 0.41/0.60 cnf(c130,plain,distinct_points(skolem0002,X103)|distinct_points(X103,skolem0001),inference(resolution,[status(thm)],[c84, c77])).
% 0.41/0.60 cnf(c11,negated_conjecture,apart_point_and_line(skolem0001,X50)|apart_point_and_line(skolem0002,X50),inference(split_conjunct,[status(thm)],[c6])).
% 0.41/0.60 cnf(c52,plain,~distinct_points(X105,X107)|~apart_point_and_line(X106,line_connecting(X105,X107))|distinct_points(X106,X105),inference(split_conjunct,[status(thm)],[c51])).
% 0.41/0.60 cnf(c148,plain,~distinct_points(X202,X201)|distinct_points(skolem0002,X202)|apart_point_and_line(skolem0001,line_connecting(X202,X201)),inference(resolution,[status(thm)],[c52, c11])).
% 0.41/0.60 cnf(c346,plain,distinct_points(skolem0002,X206)|apart_point_and_line(skolem0001,line_connecting(X206,skolem0001)),inference(resolution,[status(thm)],[c148, c130])).
% 0.41/0.60 cnf(c367,plain,apart_point_and_line(skolem0001,line_connecting(skolem0002,skolem0001)),inference(resolution,[status(thm)],[c346, c77])).
% 0.41/0.60 cnf(c378,plain,~distinct_points(skolem0002,skolem0001)|distinct_points(skolem0001,skolem0001),inference(resolution,[status(thm)],[c367, c53])).
% 0.41/0.60 cnf(c388,plain,distinct_points(skolem0001,skolem0001),inference(resolution,[status(thm)],[c378, c83])).
% 0.41/0.60 cnf(c401,plain,$false,inference(resolution,[status(thm)],[c388, c77])).
% 0.41/0.60 % SZS output end CNFRefutation
% 0.41/0.60
% 0.41/0.60 % Initial clauses : 23
% 0.41/0.60 % Processed clauses : 49
% 0.41/0.60 % Factors computed : 18
% 0.41/0.60 % Resolvents computed: 307
% 0.41/0.60 % Tautologies deleted: 0
% 0.41/0.60 % Forward subsumed : 57
% 0.41/0.60 % Backward subsumed : 1
% 0.41/0.60 % -------- CPU Time ---------
% 0.41/0.60 % User time : 0.251 s
% 0.41/0.60 % System time : 0.018 s
% 0.41/0.60 % Total time : 0.269 s
%------------------------------------------------------------------------------