%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO197+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 15.42s 15.64s
% Output : Refutation 15.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 07:45:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 15.42/15.64 % Version: 1.5
% 15.42/15.64 % SZS status Theorem
% 15.42/15.64 % SZS output start CNFRefutation
% 15.42/15.64 fof(con,conjecture,(![X]:(![Y]:(![Z]:((((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&incident_point_and_line(intersection_point(X,Y),Z))=>incident_point_and_line(intersection_point(Z,Y),X))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 15.42/15.64 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&incident_point_and_line(intersection_point(X,Y),Z))=>incident_point_and_line(intersection_point(Z,Y),X)))))),inference(assume_negation,[status(cth)],[con])).
% 15.42/15.64 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&incident_point_and_line(intersection_point(X,Y),Z))&~incident_point_and_line(intersection_point(Z,Y),X))))),inference(fof_nnf,[status(thm)],[c0])).
% 15.42/15.64 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((((convergent_lines(X2,X3)&convergent_lines(X4,X3))&convergent_lines(X2,X4))&incident_point_and_line(intersection_point(X2,X3),X4))&~incident_point_and_line(intersection_point(X4,X3),X2))))),inference(variable_rename,[status(thm)],[c1])).
% 15.42/15.64 fof(c3,negated_conjecture,((((convergent_lines(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0002))&convergent_lines(skolem0001,skolem0003))&incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003))&~incident_point_and_line(intersection_point(skolem0003,skolem0002),skolem0001)),inference(skolemize,[status(esa)],[c2])).
% 15.42/15.64 cnf(c8,negated_conjecture,~incident_point_and_line(intersection_point(skolem0003,skolem0002),skolem0001),inference(split_conjunct,[status(thm)],[c3])).
% 15.42/15.64 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 15.42/15.64 fof(c23,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 15.42/15.64 fof(c24,plain,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c23])).
% 15.42/15.64 fof(c25,plain,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c24])).
% 15.42/15.64 fof(c27,plain,(![X13]:(![X14]:(![X15]:(![X16]:((~parallel_lines(X13,X14)|~convergent_lines(X13,X14))&(convergent_lines(X15,X16)|parallel_lines(X15,X16))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X13]:(![X14]:(~parallel_lines(X13,X14)|~convergent_lines(X13,X14))))&(![X15]:(![X16]:(convergent_lines(X15,X16)|parallel_lines(X15,X16))))),inference(variable_rename,[status(thm)],[c25])).])).
% 15.42/15.64 cnf(c28,plain,~parallel_lines(X121,X122)|~convergent_lines(X121,X122),inference(split_conjunct,[status(thm)],[c27])).
% 15.42/15.64 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 15.42/15.64 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 15.42/15.64 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])).
% 15.42/15.64 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])).
% 15.42/15.64 fof(c34,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(c33,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)],[c32])).])).
% 15.42/15.64 cnf(c36,plain,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,[status(thm)],[c34])).
% 15.42/15.64 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 15.42/15.64 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 15.42/15.64 fof(c104,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c103])).
% 15.42/15.64 cnf(c105,plain,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,[status(thm)],[c104])).
% 15.42/15.64 cnf(c200,plain,convergent_lines(X190,X189)|equal_lines(X190,X189),inference(resolution,[status(thm)],[c105, c36])).
% 15.42/15.64 cnf(c214,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,[status(thm)],[c200, c28])).
% 15.42/15.64 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 15.42/15.64 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 15.42/15.64 fof(c156,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c155])).
% 15.42/15.64 cnf(c157,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c156])).
% 15.42/15.64 cnf(c29,plain,convergent_lines(X123,X124)|parallel_lines(X123,X124),inference(split_conjunct,[status(thm)],[c27])).
% 15.42/15.64 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)).
% 15.42/15.64 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 15.42/15.64 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 15.42/15.64 fof(c109,plain,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,[status(thm)],[fof(c108,plain,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,[status(thm)],[c107])).])).
% 15.42/15.64 cnf(c110,plain,~convergent_lines(X281,X282)|distinct_lines(X282,X283)|convergent_lines(X281,X283),inference(split_conjunct,[status(thm)],[c109])).
% 15.42/15.64 cnf(c371,plain,distinct_lines(X1022,X1024)|convergent_lines(X1023,X1024)|parallel_lines(X1023,X1022),inference(resolution,[status(thm)],[c110, c29])).
% 15.42/15.64 cnf(c1982,plain,distinct_lines(X1031,X1030)|parallel_lines(X1030,X1031),inference(resolution,[status(thm)],[c371, c157])).
% 15.42/15.64 cnf(c2053,plain,parallel_lines(X1042,X1041)|convergent_lines(X1041,X1042),inference(resolution,[status(thm)],[c1982, c105])).
% 15.42/15.64 cnf(c2099,plain,convergent_lines(X1100,X1099)|equal_lines(X1099,X1100),inference(resolution,[status(thm)],[c2053, c214])).
% 15.42/15.64 cnf(c2496,plain,equal_lines(X1180,X1179)|~parallel_lines(X1179,X1180),inference(resolution,[status(thm)],[c2099, c28])).
% 15.42/15.64 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 15.42/15.64 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 15.42/15.64 fof(c101,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c100])).
% 15.42/15.64 cnf(c102,plain,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,[status(thm)],[c101])).
% 15.42/15.64 cnf(c2155,plain,parallel_lines(X1054,parallel_through_point(X1054,X1053)),inference(resolution,[status(thm)],[c2053, c102])).
% 15.42/15.64 cnf(c2209,plain,equal_lines(X1057,parallel_through_point(X1057,X1058)),inference(resolution,[status(thm)],[c2155, c214])).
% 15.42/15.64 cnf(c35,plain,~equal_lines(X128,X129)|~distinct_lines(X128,X129),inference(split_conjunct,[status(thm)],[c34])).
% 15.42/15.64 cnf(c2020,plain,distinct_lines(X2989,X2988)|parallel_lines(parallel_through_point(X2988,X2987),X2989),inference(resolution,[status(thm)],[c371, c102])).
% 15.42/15.64 cnf(c21664,plain,parallel_lines(parallel_through_point(X3571,X3569),X3570)|~equal_lines(X3570,X3571),inference(resolution,[status(thm)],[c2020, c35])).
% 15.42/15.64 cnf(c30157,plain,parallel_lines(parallel_through_point(parallel_through_point(X3580,X3578),X3579),X3580),inference(resolution,[status(thm)],[c21664, c2209])).
% 15.42/15.64 cnf(c30175,plain,equal_lines(X3584,parallel_through_point(parallel_through_point(X3584,X3585),X3586)),inference(resolution,[status(thm)],[c30157, c2496])).
% 15.42/15.64 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)).
% 15.42/15.64 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 15.42/15.64 fof(c98,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c97])).
% 15.42/15.64 cnf(c99,plain,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,[status(thm)],[c98])).
% 15.42/15.64 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)).
% 15.42/15.64 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 15.42/15.64 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])).
% 15.42/15.64 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])).
% 15.42/15.64 fof(c20,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(c19,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)],[c18])).])).
% 15.42/15.64 cnf(c22,plain,apart_point_and_line(X116,X115)|incident_point_and_line(X116,X115),inference(split_conjunct,[status(thm)],[c20])).
% 15.42/15.64 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)).
% 15.42/15.64 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])).
% 15.42/15.64 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])).
% 15.42/15.64 fof(c114,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(c113,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)],[c112])).])).
% 15.42/15.64 cnf(c115,plain,~apart_point_and_line(X287,X285)|distinct_lines(X285,X286)|apart_point_and_line(X287,X286),inference(split_conjunct,[status(thm)],[c114])).
% 15.42/15.64 cnf(c397,plain,distinct_lines(X1505,X1506)|apart_point_and_line(X1507,X1506)|incident_point_and_line(X1507,X1505),inference(resolution,[status(thm)],[c115, c22])).
% 15.42/15.64 cnf(c4296,plain,distinct_lines(X3303,parallel_through_point(X3301,X3302))|incident_point_and_line(X3302,X3303),inference(resolution,[status(thm)],[c397, c99])).
% 15.42/15.64 cnf(c27180,plain,incident_point_and_line(X4049,X4050)|~equal_lines(X4050,parallel_through_point(X4048,X4049)),inference(resolution,[status(thm)],[c4296, c35])).
% 15.42/15.64 cnf(c32690,plain,incident_point_and_line(X4051,X4052),inference(resolution,[status(thm)],[c27180, c30175])).
% 15.42/15.64 cnf(c32712,plain,$false,inference(resolution,[status(thm)],[c32690, c8])).
% 15.42/15.64 % SZS output end CNFRefutation
% 15.42/15.64
% 15.42/15.64 % Initial clauses : 51
% 15.42/15.64 % Processed clauses : 789
% 15.42/15.64 % Factors computed : 140
% 15.42/15.64 % Resolvents computed: 32409
% 15.42/15.64 % Tautologies deleted: 12
% 15.42/15.64 % Forward subsumed : 1847
% 15.42/15.64 % Backward subsumed : 58
% 15.42/15.64 % -------- CPU Time ---------
% 15.42/15.64 % User time : 15.174 s
% 15.42/15.64 % System time : 0.095 s
% 15.42/15.64 % Total time : 15.269 s
%------------------------------------------------------------------------------