%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO180+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:21:19 EDT 2024
% Result : Theorem 2.72s 2.92s
% Output : Refutation 2.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO180+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n010.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 08:22:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 2.72/2.92 % Version: 1.5
% 2.72/2.92 % SZS status Theorem
% 2.72/2.92 % SZS output start CNFRefutation
% 2.72/2.92 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(X,line_connecting(Z,Y))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 2.72/2.92 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(X,line_connecting(Z,Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 2.72/2.92 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y))))))),inference(fof_nnf,[status(thm)],[c0])).
% 2.72/2.92 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(X,line_connecting(Z,Y))))))),inference(shift_quantors,[status(thm)],[c1])).
% 2.72/2.92 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&(?[X4]:(apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X2,line_connecting(X4,X3))))))),inference(variable_rename,[status(thm)],[c2])).
% 2.72/2.92 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0001,line_connecting(skolem0003,skolem0002)))),inference(skolemize,[status(esa)],[c3])).
% 2.72/2.92 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 2.72/2.92 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)).
% 2.72/2.92 fof(c15,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 2.72/2.92 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])).
% 2.72/2.92 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])).
% 2.72/2.92 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])).])).
% 2.72/2.92 cnf(c20,plain,~incident_point_and_line(X114,X113)|~apart_point_and_line(X114,X113),inference(split_conjunct,[status(thm)],[c19])).
% 2.72/2.92 cnf(c165,plain,~incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c20, c6])).
% 2.72/2.92 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 2.72/2.92 fof(c29,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 2.72/2.92 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])).
% 2.72/2.92 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])).
% 2.72/2.92 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])).])).
% 2.72/2.92 cnf(c34,plain,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,[status(thm)],[c33])).
% 2.72/2.92 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 2.72/2.92 fof(c154,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 2.72/2.92 fof(c155,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c154])).
% 2.72/2.92 cnf(c156,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c155])).
% 2.72/2.92 cnf(c35,plain,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,[status(thm)],[c33])).
% 2.72/2.92 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 2.72/2.92 fof(c102,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 2.72/2.92 fof(c103,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c102])).
% 2.72/2.92 cnf(c104,plain,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,[status(thm)],[c103])).
% 2.72/2.92 cnf(c193,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,[status(thm)],[c104, c35])).
% 2.72/2.92 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)).
% 2.72/2.92 fof(c105,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 2.72/2.92 fof(c106,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c105])).
% 2.72/2.92 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])).])).
% 2.72/2.92 cnf(c109,plain,~convergent_lines(X325,X324)|distinct_lines(X324,X323)|convergent_lines(X325,X323),inference(split_conjunct,[status(thm)],[c108])).
% 2.72/2.92 cnf(c327,plain,distinct_lines(X971,X972)|convergent_lines(X970,X972)|equal_lines(X970,X971),inference(resolution,[status(thm)],[c109, c193])).
% 2.72/2.92 cnf(c1103,plain,distinct_lines(X975,X976)|equal_lines(X976,X975),inference(resolution,[status(thm)],[c327, c156])).
% 2.72/2.92 cnf(c1133,plain,equal_lines(X986,X987)|~equal_lines(X987,X986),inference(resolution,[status(thm)],[c1103, c34])).
% 2.72/2.92 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 2.72/2.92 fof(c99,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 2.72/2.92 fof(c100,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c99])).
% 2.72/2.92 cnf(c101,plain,~convergent_lines(parallel_through_point(X106,X105),X106),inference(split_conjunct,[status(thm)],[c100])).
% 2.72/2.92 cnf(c208,plain,equal_lines(parallel_through_point(X192,X193),X192),inference(resolution,[status(thm)],[c193, c101])).
% 2.72/2.92 cnf(c1149,plain,equal_lines(X990,parallel_through_point(X990,X989)),inference(resolution,[status(thm)],[c1133, c208])).
% 2.72/2.92 cnf(c1106,plain,distinct_lines(X1254,X1253)|equal_lines(parallel_through_point(X1253,X1255),X1254),inference(resolution,[status(thm)],[c327, c101])).
% 2.72/2.92 cnf(c1525,plain,equal_lines(parallel_through_point(X1432,X1431),X1433)|~equal_lines(X1433,X1432),inference(resolution,[status(thm)],[c1106, c34])).
% 2.72/2.92 cnf(c2031,plain,equal_lines(parallel_through_point(parallel_through_point(X1443,X1442),X1444),X1443),inference(resolution,[status(thm)],[c1525, c1149])).
% 2.72/2.92 cnf(c2043,plain,equal_lines(X1461,parallel_through_point(parallel_through_point(X1461,X1462),X1463)),inference(resolution,[status(thm)],[c2031, c1133])).
% 2.72/2.92 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)).
% 2.72/2.92 fof(c96,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 2.72/2.92 fof(c97,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c96])).
% 2.72/2.92 cnf(c98,plain,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,[status(thm)],[c97])).
% 2.72/2.92 cnf(c21,plain,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,[status(thm)],[c19])).
% 2.72/2.92 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)).
% 2.72/2.92 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])).
% 2.72/2.92 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])).
% 2.72/2.92 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])).])).
% 2.72/2.92 cnf(c114,plain,~apart_point_and_line(X337,X336)|distinct_lines(X336,X338)|apart_point_and_line(X337,X338),inference(split_conjunct,[status(thm)],[c113])).
% 2.72/2.92 cnf(c332,plain,distinct_lines(X1646,X1647)|apart_point_and_line(X1648,X1647)|incident_point_and_line(X1648,X1646),inference(resolution,[status(thm)],[c114, c21])).
% 2.72/2.92 cnf(c2536,plain,distinct_lines(X2584,parallel_through_point(X2583,X2582))|incident_point_and_line(X2582,X2584),inference(resolution,[status(thm)],[c332, c98])).
% 2.72/2.92 cnf(c5230,plain,incident_point_and_line(X3600,X3602)|~equal_lines(X3602,parallel_through_point(X3601,X3600)),inference(resolution,[status(thm)],[c2536, c34])).
% 2.72/2.92 cnf(c8339,plain,incident_point_and_line(X3604,X3603),inference(resolution,[status(thm)],[c5230, c2043])).
% 2.72/2.92 cnf(c8364,plain,$false,inference(resolution,[status(thm)],[c8339, c165])).
% 2.72/2.92 % SZS output end CNFRefutation
% 2.72/2.92
% 2.72/2.92 % Initial clauses : 49
% 2.72/2.92 % Processed clauses : 433
% 2.72/2.92 % Factors computed : 44
% 2.72/2.92 % Resolvents computed: 8158
% 2.72/2.92 % Tautologies deleted: 12
% 2.72/2.92 % Forward subsumed : 949
% 2.72/2.92 % Backward subsumed : 63
% 2.72/2.92 % -------- CPU Time ---------
% 2.72/2.92 % User time : 2.514 s
% 2.72/2.92 % System time : 0.046 s
% 2.72/2.92 % Total time : 2.560 s
%------------------------------------------------------------------------------