%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 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 17:21:26 EDT 2024
% Result : Theorem 16.24s 16.45s
% Output : Refutation 16.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 9 08:02:07 EDT 2024
% 0.10/0.31 % CPUTime :
% 16.24/16.45 % Version: 1.5
% 16.24/16.45 % SZS status Theorem
% 16.24/16.45 % SZS output start CNFRefutation
% 16.24/16.45 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(X,Z),Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 16.24/16.45 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(X,Z),Y)))))),inference(assume_negation,[status(cth)],[con])).
% 16.24/16.45 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(X,Z),Y))))),inference(fof_nnf,[status(thm)],[c0])).
% 16.24/16.45 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(X2,X4),X3))))),inference(variable_rename,[status(thm)],[c1])).
% 16.24/16.45 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(skolem0001,skolem0003),skolem0002)),inference(skolemize,[status(esa)],[c2])).
% 16.24/16.45 cnf(c8,negated_conjecture,~incident_point_and_line(intersection_point(skolem0001,skolem0003),skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 16.24/16.45 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 16.24/16.45 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 16.24/16.45 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])).
% 16.24/16.45 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])).
% 16.24/16.45 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])).])).
% 16.24/16.45 cnf(c35,plain,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,[status(thm)],[c34])).
% 16.24/16.45 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 16.24/16.45 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 16.24/16.45 fof(c156,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c155])).
% 16.24/16.45 cnf(c157,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c156])).
% 16.24/16.45 cnf(c36,plain,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,[status(thm)],[c34])).
% 16.24/16.45 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 16.24/16.45 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 16.24/16.45 fof(c104,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c103])).
% 16.24/16.45 cnf(c105,plain,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,[status(thm)],[c104])).
% 16.24/16.45 cnf(c200,plain,convergent_lines(X190,X189)|equal_lines(X190,X189),inference(resolution,[status(thm)],[c105, c36])).
% 16.24/16.45 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 16.24/16.45 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 16.24/16.45 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 16.24/16.45 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])).])).
% 16.24/16.45 cnf(c110,plain,~convergent_lines(X283,X282)|distinct_lines(X282,X281)|convergent_lines(X283,X281),inference(split_conjunct,[status(thm)],[c109])).
% 16.24/16.45 cnf(c375,plain,distinct_lines(X1195,X1193)|convergent_lines(X1194,X1193)|equal_lines(X1194,X1195),inference(resolution,[status(thm)],[c110, c200])).
% 16.24/16.45 cnf(c2505,plain,distinct_lines(X1199,X1198)|equal_lines(X1198,X1199),inference(resolution,[status(thm)],[c375, c157])).
% 16.24/16.45 cnf(c2540,plain,equal_lines(X1230,X1229)|~equal_lines(X1229,X1230),inference(resolution,[status(thm)],[c2505, c35])).
% 16.24/16.45 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 16.24/16.45 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 16.24/16.45 fof(c101,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c100])).
% 16.24/16.45 cnf(c102,plain,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,[status(thm)],[c101])).
% 16.24/16.45 cnf(c2537,plain,equal_lines(X1211,X1210)|convergent_lines(X1210,X1211),inference(resolution,[status(thm)],[c2505, c105])).
% 16.24/16.45 cnf(c2631,plain,equal_lines(X1222,parallel_through_point(X1222,X1223)),inference(resolution,[status(thm)],[c2537, c102])).
% 16.24/16.45 cnf(c2474,plain,distinct_lines(X3117,X3115)|equal_lines(parallel_through_point(X3115,X3116),X3117),inference(resolution,[status(thm)],[c375, c102])).
% 16.24/16.45 cnf(c24080,plain,equal_lines(parallel_through_point(X3705,X3704),X3706)|~equal_lines(X3706,X3705),inference(resolution,[status(thm)],[c2474, c35])).
% 16.24/16.45 cnf(c31290,plain,equal_lines(parallel_through_point(parallel_through_point(X3713,X3714),X3712),X3713),inference(resolution,[status(thm)],[c24080, c2631])).
% 16.24/16.45 cnf(c31298,plain,equal_lines(X3715,parallel_through_point(parallel_through_point(X3715,X3717),X3716)),inference(resolution,[status(thm)],[c31290, c2540])).
% 16.24/16.45 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 16.24/16.45 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 16.24/16.45 fof(c98,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c97])).
% 16.24/16.45 cnf(c99,plain,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,[status(thm)],[c98])).
% 16.24/16.45 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a4)).
% 16.24/16.45 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 16.24/16.45 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])).
% 16.24/16.45 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])).
% 16.24/16.45 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])).])).
% 16.24/16.45 cnf(c22,plain,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,[status(thm)],[c20])).
% 16.24/16.45 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/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 16.24/16.45 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])).
% 16.24/16.45 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])).
% 16.24/16.45 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])).])).
% 16.24/16.45 cnf(c115,plain,~apart_point_and_line(X286,X285)|distinct_lines(X285,X287)|apart_point_and_line(X286,X287),inference(split_conjunct,[status(thm)],[c114])).
% 16.24/16.45 cnf(c397,plain,distinct_lines(X1533,X1535)|apart_point_and_line(X1534,X1535)|incident_point_and_line(X1534,X1533),inference(resolution,[status(thm)],[c115, c22])).
% 16.24/16.45 cnf(c4537,plain,distinct_lines(X3388,parallel_through_point(X3390,X3389))|incident_point_and_line(X3389,X3388),inference(resolution,[status(thm)],[c397, c99])).
% 16.24/16.45 cnf(c28529,plain,incident_point_and_line(X4162,X4164)|~equal_lines(X4164,parallel_through_point(X4163,X4162)),inference(resolution,[status(thm)],[c4537, c35])).
% 16.24/16.45 cnf(c33495,plain,incident_point_and_line(X4166,X4165),inference(resolution,[status(thm)],[c28529, c31298])).
% 16.24/16.45 cnf(c33518,plain,$false,inference(resolution,[status(thm)],[c33495, c8])).
% 16.24/16.45 % SZS output end CNFRefutation
% 16.24/16.45
% 16.24/16.45 % Initial clauses : 51
% 16.24/16.45 % Processed clauses : 802
% 16.24/16.45 % Factors computed : 141
% 16.24/16.45 % Resolvents computed: 33214
% 16.24/16.45 % Tautologies deleted: 12
% 16.24/16.45 % Forward subsumed : 1880
% 16.24/16.45 % Backward subsumed : 62
% 16.24/16.45 % -------- CPU Time ---------
% 16.24/16.45 % User time : 16.051 s
% 16.24/16.45 % System time : 0.080 s
% 16.24/16.45 % Total time : 16.131 s
%------------------------------------------------------------------------------