%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:21:38 EDT 2024
% Result : Theorem 0.38s 0.62s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 9 08:21:53 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.38/0.62 % Version: 1.5
% 0.38/0.62 % SZS status Theorem
% 0.38/0.62 % SZS output start CNFRefutation
% 0.38/0.62 fof(con,conjecture,(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(incident_point_and_line(A,X)&incident_point_and_line(B,X))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/0.62 fof(c0,negated_conjecture,(~(![A]:(![B]:(((point(A)&point(B))&distinct_points(A,B))=>(?[X]:(line(X)=>(incident_point_and_line(A,X)&incident_point_and_line(B,X)))))))),inference(assume_negation,[status(cth)],[con])).
% 0.38/0.62 fof(c1,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&(![X]:(line(X)&(~incident_point_and_line(A,X)|~incident_point_and_line(B,X))))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.38/0.62 fof(c2,negated_conjecture,(?[A]:(?[B]:(((point(A)&point(B))&distinct_points(A,B))&((![X]:line(X))&(![X]:(~incident_point_and_line(A,X)|~incident_point_and_line(B,X))))))),inference(shift_quantors,[status(thm)],[c1])).
% 0.38/0.62 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(((point(X2)&point(X3))&distinct_points(X2,X3))&((![X4]:line(X4))&(![X5]:(~incident_point_and_line(X2,X5)|~incident_point_and_line(X3,X5))))))),inference(variable_rename,[status(thm)],[c2])).
% 0.38/0.62 fof(c5,negated_conjecture,(![X4]:(![X5]:(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&(line(X4)&(~incident_point_and_line(skolem0001,X5)|~incident_point_and_line(skolem0002,X5)))))),inference(shift_quantors,[status(thm)],[fof(c4,negated_conjecture,(((point(skolem0001)&point(skolem0002))&distinct_points(skolem0001,skolem0002))&((![X4]:line(X4))&(![X5]:(~incident_point_and_line(skolem0001,X5)|~incident_point_and_line(skolem0002,X5))))),inference(skolemize,[status(esa)],[c3])).])).
% 0.38/0.62 cnf(c8,negated_conjecture,distinct_points(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c5])).
% 0.38/0.62 fof(ci1,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(X,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.38/0.62 fof(c138,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci1])).
% 0.38/0.62 fof(c139,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c138])).
% 0.38/0.62 fof(c140,plain,(![X83]:(![X84]:(~distinct_points(X83,X84)|~apart_point_and_line(X83,line_connecting(X83,X84))))),inference(variable_rename,[status(thm)],[c139])).
% 0.38/0.62 cnf(c141,plain,~distinct_points(X267,X266)|~apart_point_and_line(X267,line_connecting(X267,X266)),inference(split_conjunct,[status(thm)],[c140])).
% 0.38/0.62 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.38/0.62 fof(c18,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 0.38/0.62 fof(c19,plain,(![X]:(![Y]:((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(fof_nnf,[status(thm)],[c18])).
% 0.38/0.62 fof(c20,plain,((![X]:(![Y]:(~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))))&(![X]:(![Y]:(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(shift_quantors,[status(thm)],[c19])).
% 0.38/0.62 fof(c22,plain,(![X10]:(![X11]:(![X12]:(![X13]:((~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))&(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))))),inference(shift_quantors,[status(thm)],[fof(c21,plain,((![X10]:(![X11]:(~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))))&(![X12]:(![X13]:(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))),inference(variable_rename,[status(thm)],[c20])).])).
% 0.38/0.62 cnf(c23,plain,~incident_point_and_line(X116,X117)|~apart_point_and_line(X116,X117),inference(split_conjunct,[status(thm)],[c22])).
% 0.38/0.62 cnf(c24,plain,apart_point_and_line(X118,X119)|incident_point_and_line(X118,X119),inference(split_conjunct,[status(thm)],[c22])).
% 0.38/0.62 cnf(c10,negated_conjecture,~incident_point_and_line(skolem0001,X109)|~incident_point_and_line(skolem0002,X109),inference(split_conjunct,[status(thm)],[c5])).
% 0.38/0.62 cnf(c171,plain,apart_point_and_line(skolem0002,X228)|~incident_point_and_line(skolem0001,X228),inference(resolution,[status(thm)],[c24, c10])).
% 0.38/0.62 cnf(c232,plain,apart_point_and_line(skolem0002,X239)|apart_point_and_line(skolem0001,X239),inference(resolution,[status(thm)],[c171, c24])).
% 0.38/0.62 cnf(c238,plain,apart_point_and_line(skolem0001,X249)|~incident_point_and_line(skolem0002,X249),inference(resolution,[status(thm)],[c232, c23])).
% 0.38/0.62 fof(ci2,axiom,(![X]:(![Y]:(distinct_points(X,Y)=>(~apart_point_and_line(Y,line_connecting(X,Y)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.38/0.62 fof(c134,plain,(![X]:(![Y]:(distinct_points(X,Y)=>~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_simplification,[status(thm)],[ci2])).
% 0.38/0.62 fof(c135,plain,(![X]:(![Y]:(~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y))))),inference(fof_nnf,[status(thm)],[c134])).
% 0.38/0.62 fof(c136,plain,(![X81]:(![X82]:(~distinct_points(X81,X82)|~apart_point_and_line(X82,line_connecting(X81,X82))))),inference(variable_rename,[status(thm)],[c135])).
% 0.38/0.62 cnf(c137,plain,~distinct_points(X265,X264)|~apart_point_and_line(X264,line_connecting(X265,X264)),inference(split_conjunct,[status(thm)],[c136])).
% 0.38/0.62 cnf(c261,plain,~distinct_points(X303,X304)|incident_point_and_line(X304,line_connecting(X303,X304)),inference(resolution,[status(thm)],[c137, c24])).
% 0.38/0.62 cnf(c315,plain,incident_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c261, c8])).
% 0.38/0.62 cnf(c317,plain,apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c315, c238])).
% 0.38/0.62 cnf(c324,plain,~distinct_points(skolem0001,skolem0002),inference(resolution,[status(thm)],[c317, c141])).
% 0.38/0.62 cnf(c325,plain,$false,inference(resolution,[status(thm)],[c324, c8])).
% 0.38/0.62 % SZS output end CNFRefutation
% 0.38/0.62
% 0.38/0.62 % Initial clauses : 51
% 0.38/0.62 % Processed clauses : 81
% 0.38/0.62 % Factors computed : 0
% 0.38/0.62 % Resolvents computed: 161
% 0.38/0.62 % Tautologies deleted: 5
% 0.38/0.62 % Forward subsumed : 36
% 0.38/0.62 % Backward subsumed : 0
% 0.38/0.62 % -------- CPU Time ---------
% 0.38/0.62 % User time : 0.274 s
% 0.38/0.62 % System time : 0.011 s
% 0.38/0.62 % Total time : 0.285 s
%------------------------------------------------------------------------------