%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 0.68s 0.90s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 07:43:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.68/0.90 % Version: 1.5
% 0.68/0.90 % SZS status Theorem
% 0.68/0.90 % SZS output start CNFRefutation
% 0.68/0.90 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.68/0.90 fof(c29,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 0.68/0.90 fof(c30,plain,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c29])).
% 0.68/0.90 fof(c31,plain,((![X]:(![Y]:(~equal_lines(X,Y)|~distinct_lines(X,Y))))&(![X]:(![Y]:(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c30])).
% 0.68/0.90 fof(c33,plain,(![X17]:(![X18]:(![X19]:(![X20]:((~equal_lines(X17,X18)|~distinct_lines(X17,X18))&(distinct_lines(X19,X20)|equal_lines(X19,X20))))))),inference(shift_quantors,[status(thm)],[fof(c32,plain,((![X17]:(![X18]:(~equal_lines(X17,X18)|~distinct_lines(X17,X18))))&(![X19]:(![X20]:(distinct_lines(X19,X20)|equal_lines(X19,X20))))),inference(variable_rename,[status(thm)],[c31])).])).
% 0.68/0.90 cnf(c34,plain,~equal_lines(X129,X130)|~distinct_lines(X129,X130),inference(split_conjunct,[status(thm)],[c33])).
% 0.68/0.90 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.68/0.90 fof(c96,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 0.68/0.90 fof(c97,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c96])).
% 0.68/0.90 cnf(c98,plain,~apart_point_and_line(X104,parallel_through_point(X105,X104)),inference(split_conjunct,[status(thm)],[c97])).
% 0.68/0.90 fof(con,conjecture,(![X]:(![Y]:((point(X)&line(Y))=>(?[Z]:(point(Z)&incident_point_and_line(Z,Y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.68/0.90 fof(c0,negated_conjecture,(~(![X]:(![Y]:((point(X)&line(Y))=>(?[Z]:(point(Z)&incident_point_and_line(Z,Y))))))),inference(assume_negation,[status(cth)],[con])).
% 0.68/0.90 fof(c1,negated_conjecture,(?[X]:(?[Y]:((point(X)&line(Y))&(![Z]:(~point(Z)|~incident_point_and_line(Z,Y)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.68/0.90 fof(c2,negated_conjecture,(?[X2]:(?[X3]:((point(X2)&line(X3))&(![X4]:(~point(X4)|~incident_point_and_line(X4,X3)))))),inference(variable_rename,[status(thm)],[c1])).
% 0.68/0.90 fof(c4,negated_conjecture,(![X4]:((point(skolem0001)&line(skolem0002))&(~point(X4)|~incident_point_and_line(X4,skolem0002)))),inference(shift_quantors,[status(thm)],[fof(c3,negated_conjecture,((point(skolem0001)&line(skolem0002))&(![X4]:(~point(X4)|~incident_point_and_line(X4,skolem0002)))),inference(skolemize,[status(esa)],[c2])).])).
% 0.68/0.90 cnf(c5,negated_conjecture,point(skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 0.68/0.90 cnf(c7,negated_conjecture,~point(X99)|~incident_point_and_line(X99,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.68/0.90 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)).
% 0.68/0.90 fof(c15,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 0.68/0.90 fof(c16,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)],[c15])).
% 0.68/0.90 fof(c17,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)],[c16])).
% 0.68/0.90 fof(c19,plain,(![X9]:(![X10]:(![X11]:(![X12]:((~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))&(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))))),inference(shift_quantors,[status(thm)],[fof(c18,plain,((![X9]:(![X10]:(~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))))&(![X11]:(![X12]:(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))),inference(variable_rename,[status(thm)],[c17])).])).
% 0.68/0.90 cnf(c21,plain,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,[status(thm)],[c19])).
% 0.68/0.90 cnf(c168,plain,apart_point_and_line(X170,skolem0002)|~point(X170),inference(resolution,[status(thm)],[c21, c7])).
% 0.68/0.90 cnf(c193,plain,apart_point_and_line(skolem0001,skolem0002),inference(resolution,[status(thm)],[c168, c5])).
% 0.68/0.90 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.68/0.90 fof(c110,plain,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq2])).
% 0.68/0.90 fof(c111,plain,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,[status(thm)],[c110])).
% 0.68/0.90 fof(c113,plain,(![X66]:(![X67]:(![X68]:(~apart_point_and_line(X66,X67)|(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(shift_quantors,[status(thm)],[fof(c112,plain,(![X66]:(![X67]:(~apart_point_and_line(X66,X67)|(![X68]:(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(variable_rename,[status(thm)],[c111])).])).
% 0.68/0.90 cnf(c114,plain,~apart_point_and_line(X341,X343)|distinct_lines(X343,X342)|apart_point_and_line(X341,X342),inference(split_conjunct,[status(thm)],[c113])).
% 0.68/0.90 cnf(c341,plain,distinct_lines(skolem0002,X344)|apart_point_and_line(skolem0001,X344),inference(resolution,[status(thm)],[c114, c193])).
% 0.68/0.90 cnf(c352,plain,distinct_lines(skolem0002,parallel_through_point(X346,skolem0001)),inference(resolution,[status(thm)],[c341, c98])).
% 0.68/0.90 cnf(c356,plain,~equal_lines(skolem0002,parallel_through_point(X352,skolem0001)),inference(resolution,[status(thm)],[c352, c34])).
% 0.68/0.90 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.68/0.90 fof(c99,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 0.68/0.90 fof(c100,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c99])).
% 0.68/0.90 cnf(c101,plain,~convergent_lines(parallel_through_point(X107,X106),X107),inference(split_conjunct,[status(thm)],[c100])).
% 0.68/0.90 cnf(c35,plain,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,[status(thm)],[c33])).
% 0.68/0.90 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.68/0.90 fof(c102,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 0.68/0.90 fof(c103,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c102])).
% 0.68/0.90 cnf(c104,plain,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,[status(thm)],[c103])).
% 0.68/0.90 cnf(c189,plain,convergent_lines(X192,X191)|equal_lines(X192,X191),inference(resolution,[status(thm)],[c104, c35])).
% 0.68/0.90 cnf(c208,plain,equal_lines(parallel_through_point(X197,X198),X197),inference(resolution,[status(thm)],[c189, c101])).
% 0.68/0.90 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.68/0.90 fof(c154,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.68/0.90 fof(c155,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c154])).
% 0.68/0.90 cnf(c156,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c155])).
% 0.68/0.90 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.68/0.90 fof(c105,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 0.68/0.90 fof(c106,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c105])).
% 0.68/0.90 fof(c108,plain,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,[status(thm)],[fof(c107,plain,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,[status(thm)],[c106])).])).
% 0.68/0.90 cnf(c109,plain,~convergent_lines(X330,X329)|distinct_lines(X329,X328)|convergent_lines(X330,X328),inference(split_conjunct,[status(thm)],[c108])).
% 0.68/0.90 cnf(c337,plain,distinct_lines(X1025,X1024)|convergent_lines(X1023,X1024)|equal_lines(X1023,X1025),inference(resolution,[status(thm)],[c109, c189])).
% 0.68/0.90 cnf(c1290,plain,distinct_lines(X1031,X1032)|equal_lines(X1032,X1031),inference(resolution,[status(thm)],[c337, c156])).
% 0.68/0.90 cnf(c1323,plain,equal_lines(X1042,X1043)|~equal_lines(X1043,X1042),inference(resolution,[status(thm)],[c1290, c34])).
% 0.68/0.90 cnf(c1356,plain,equal_lines(X1046,parallel_through_point(X1046,X1045)),inference(resolution,[status(thm)],[c1323, c208])).
% 0.68/0.90 cnf(c1369,plain,$false,inference(resolution,[status(thm)],[c1356, c356])).
% 0.68/0.90 % SZS output end CNFRefutation
% 0.68/0.90
% 0.68/0.90 % Initial clauses : 49
% 0.68/0.90 % Processed clauses : 211
% 0.68/0.90 % Factors computed : 11
% 0.68/0.90 % Resolvents computed: 1198
% 0.68/0.90 % Tautologies deleted: 9
% 0.68/0.90 % Forward subsumed : 215
% 0.68/0.90 % Backward subsumed : 1
% 0.68/0.90 % -------- CPU Time ---------
% 0.68/0.90 % User time : 0.536 s
% 0.68/0.90 % System time : 0.013 s
% 0.68/0.90 % Total time : 0.549 s
%------------------------------------------------------------------------------