%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:21:26 EDT 2024
% Result : Theorem 8.63s 8.79s
% Output : Refutation 8.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 08:18:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 8.63/8.79 % Version: 1.5
% 8.63/8.79 % SZS status Theorem
% 8.63/8.79 % SZS output start CNFRefutation
% 8.63/8.79 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 8.63/8.79 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 8.63/8.79 fof(c31,plain,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c30])).
% 8.63/8.79 fof(c32,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)],[c31])).
% 8.63/8.79 fof(c34,plain,(![X18]:(![X19]:(![X20]:(![X21]:((~equal_lines(X18,X19)|~distinct_lines(X18,X19))&(distinct_lines(X20,X21)|equal_lines(X20,X21))))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((![X18]:(![X19]:(~equal_lines(X18,X19)|~distinct_lines(X18,X19))))&(![X20]:(![X21]:(distinct_lines(X20,X21)|equal_lines(X20,X21))))),inference(variable_rename,[status(thm)],[c32])).])).
% 8.63/8.79 cnf(c35,plain,~equal_lines(X127,X126)|~distinct_lines(X127,X126),inference(split_conjunct,[status(thm)],[c34])).
% 8.63/8.79 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 8.63/8.79 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 8.63/8.79 fof(c156,plain,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,[status(thm)],[c155])).
% 8.63/8.79 cnf(c157,plain,~convergent_lines(X97,X97),inference(split_conjunct,[status(thm)],[c156])).
% 8.63/8.79 cnf(c36,plain,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,[status(thm)],[c34])).
% 8.63/8.79 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 8.63/8.79 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 8.63/8.79 fof(c104,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c103])).
% 8.63/8.79 cnf(c105,plain,~distinct_lines(X162,X163)|convergent_lines(X162,X163),inference(split_conjunct,[status(thm)],[c104])).
% 8.63/8.79 cnf(c192,plain,convergent_lines(X191,X190)|equal_lines(X191,X190),inference(resolution,[status(thm)],[c105, c36])).
% 8.63/8.79 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)).
% 8.63/8.79 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 8.63/8.79 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 8.63/8.79 fof(c109,plain,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,[status(thm)],[fof(c108,plain,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,[status(thm)],[c107])).])).
% 8.63/8.79 cnf(c110,plain,~convergent_lines(X305,X306)|distinct_lines(X306,X304)|convergent_lines(X305,X304),inference(split_conjunct,[status(thm)],[c109])).
% 8.63/8.79 cnf(c381,plain,distinct_lines(X1115,X1116)|convergent_lines(X1114,X1116)|equal_lines(X1114,X1115),inference(resolution,[status(thm)],[c110, c192])).
% 8.63/8.79 cnf(c1906,plain,distinct_lines(X1122,X1123)|equal_lines(X1123,X1122),inference(resolution,[status(thm)],[c381, c157])).
% 8.63/8.79 cnf(c1971,plain,equal_lines(X1147,X1146)|~equal_lines(X1146,X1147),inference(resolution,[status(thm)],[c1906, c35])).
% 8.63/8.79 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 8.63/8.79 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 8.63/8.79 fof(c101,plain,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,[status(thm)],[c100])).
% 8.63/8.79 cnf(c102,plain,~convergent_lines(parallel_through_point(X107,X106),X107),inference(split_conjunct,[status(thm)],[c101])).
% 8.63/8.79 cnf(c1969,plain,equal_lines(X1132,X1131)|convergent_lines(X1131,X1132),inference(resolution,[status(thm)],[c1906, c105])).
% 8.63/8.79 cnf(c2051,plain,equal_lines(X1142,parallel_through_point(X1142,X1143)),inference(resolution,[status(thm)],[c1969, c102])).
% 8.63/8.79 cnf(c1915,plain,distinct_lines(X2597,X2596)|equal_lines(parallel_through_point(X2596,X2598),X2597),inference(resolution,[status(thm)],[c381, c102])).
% 8.63/8.79 cnf(c12936,plain,equal_lines(parallel_through_point(X3160,X3161),X3159)|~equal_lines(X3159,X3160),inference(resolution,[status(thm)],[c1915, c35])).
% 8.63/8.79 cnf(c19236,plain,equal_lines(parallel_through_point(parallel_through_point(X3164,X3166),X3165),X3164),inference(resolution,[status(thm)],[c12936, c2051])).
% 8.63/8.79 cnf(c19250,plain,equal_lines(X3171,parallel_through_point(parallel_through_point(X3171,X3173),X3172)),inference(resolution,[status(thm)],[c19236, c1971])).
% 8.63/8.79 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)).
% 8.63/8.79 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 8.63/8.79 fof(c98,plain,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,[status(thm)],[c97])).
% 8.63/8.79 cnf(c99,plain,~apart_point_and_line(X104,parallel_through_point(X105,X104)),inference(split_conjunct,[status(thm)],[c98])).
% 8.63/8.79 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)).
% 8.63/8.79 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 8.63/8.79 fof(c17,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)],[c16])).
% 8.63/8.79 fof(c18,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)],[c17])).
% 8.63/8.79 fof(c20,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(c19,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)],[c18])).])).
% 8.63/8.79 cnf(c22,plain,apart_point_and_line(X117,X116)|incident_point_and_line(X117,X116),inference(split_conjunct,[status(thm)],[c20])).
% 8.63/8.79 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)).
% 8.63/8.79 fof(c111,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])).
% 8.63/8.79 fof(c112,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)],[c111])).
% 8.63/8.79 fof(c114,plain,(![X67]:(![X68]:(![X69]:(~apart_point_and_line(X67,X68)|(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(shift_quantors,[status(thm)],[fof(c113,plain,(![X67]:(![X68]:(~apart_point_and_line(X67,X68)|(![X69]:(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(variable_rename,[status(thm)],[c112])).])).
% 8.63/8.79 cnf(c115,plain,~apart_point_and_line(X310,X309)|distinct_lines(X309,X308)|apart_point_and_line(X310,X308),inference(split_conjunct,[status(thm)],[c114])).
% 8.63/8.79 cnf(c404,plain,distinct_lines(X1602,X1600)|apart_point_and_line(X1601,X1600)|incident_point_and_line(X1601,X1602),inference(resolution,[status(thm)],[c115, c22])).
% 8.63/8.79 cnf(c4975,plain,distinct_lines(X2908,parallel_through_point(X2907,X2906))|incident_point_and_line(X2906,X2908),inference(resolution,[status(thm)],[c404, c99])).
% 8.63/8.80 cnf(c15534,plain,incident_point_and_line(X3634,X3635)|~equal_lines(X3635,parallel_through_point(X3636,X3634)),inference(resolution,[status(thm)],[c4975, c35])).
% 8.63/8.80 cnf(c23182,plain,incident_point_and_line(X3638,X3637),inference(resolution,[status(thm)],[c15534, c19250])).
% 8.63/8.80 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))=>(incident_point_and_line(intersection_point(U,V),X)&incident_point_and_line(intersection_point(U,V),Y))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 8.63/8.80 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))=>(incident_point_and_line(intersection_point(U,V),X)&incident_point_and_line(intersection_point(U,V),Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 8.63/8.80 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:((((convergent_lines(X,Y)&convergent_lines(U,V))&incident_point_and_line(intersection_point(X,Y),U))&incident_point_and_line(intersection_point(X,Y),V))&(~incident_point_and_line(intersection_point(U,V),X)|~incident_point_and_line(intersection_point(U,V),Y))))))),inference(fof_nnf,[status(thm)],[c0])).
% 8.63/8.80 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((((convergent_lines(X2,X3)&convergent_lines(X4,X5))&incident_point_and_line(intersection_point(X2,X3),X4))&incident_point_and_line(intersection_point(X2,X3),X5))&(~incident_point_and_line(intersection_point(X4,X5),X2)|~incident_point_and_line(intersection_point(X4,X5),X3))))))),inference(variable_rename,[status(thm)],[c1])).
% 8.63/8.80 fof(c3,negated_conjecture,((((convergent_lines(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003))&incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0004))&(~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001)|~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0002))),inference(skolemize,[status(esa)],[c2])).
% 8.63/8.80 cnf(c8,negated_conjecture,~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001)|~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 8.63/8.80 cnf(c23206,plain,~incident_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001),inference(resolution,[status(thm)],[c23182, c8])).
% 8.63/8.80 cnf(c23565,plain,$false,inference(resolution,[status(thm)],[c23206, c23182])).
% 8.63/8.80 % SZS output end CNFRefutation
% 8.63/8.80
% 8.63/8.80 % Initial clauses : 51
% 8.63/8.80 % Processed clauses : 672
% 8.63/8.80 % Factors computed : 99
% 8.63/8.80 % Resolvents computed: 23303
% 8.63/8.80 % Tautologies deleted: 12
% 8.63/8.80 % Forward subsumed : 1453
% 8.63/8.80 % Backward subsumed : 76
% 8.63/8.80 % -------- CPU Time ---------
% 8.63/8.80 % User time : 8.376 s
% 8.63/8.80 % System time : 0.056 s
% 8.63/8.80 % Total time : 8.432 s
%------------------------------------------------------------------------------