%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO181+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 2.67s 2.83s
% Output : Refutation 2.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO181+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 9 08:37:23 EDT 2024
% 0.16/0.31 % CPUTime :
% 2.67/2.83 % Version: 1.5
% 2.67/2.83 % SZS status Theorem
% 2.67/2.83 % SZS output start CNFRefutation
% 2.67/2.83 fof(con,conjecture,(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Y,line_connecting(X,Z))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 2.67/2.83 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(distinct_points(X,Y)=>(apart_point_and_line(Z,line_connecting(X,Y))=>apart_point_and_line(Y,line_connecting(X,Z)))))))),inference(assume_negation,[status(cth)],[con])).
% 2.67/2.83 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(fof_nnf,[status(thm)],[c0])).
% 2.67/2.83 fof(c2,negated_conjecture,(?[X]:(?[Y]:(distinct_points(X,Y)&(?[Z]:(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Y,line_connecting(X,Z))))))),inference(shift_quantors,[status(thm)],[c1])).
% 2.67/2.83 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(distinct_points(X2,X3)&(?[X4]:(apart_point_and_line(X4,line_connecting(X2,X3))&~apart_point_and_line(X3,line_connecting(X2,X4))))))),inference(variable_rename,[status(thm)],[c2])).
% 2.67/2.83 fof(c4,negated_conjecture,(distinct_points(skolem0001,skolem0002)&(apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002))&~apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0003)))),inference(skolemize,[status(esa)],[c3])).
% 2.67/2.83 cnf(c6,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 2.67/2.83 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)).
% 2.67/2.83 fof(c15,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 2.67/2.83 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])).
% 2.67/2.83 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])).
% 2.67/2.83 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])).])).
% 2.67/2.83 cnf(c20,plain,~incident_point_and_line(X113,X114)|~apart_point_and_line(X113,X114),inference(split_conjunct,[status(thm)],[c19])).
% 2.67/2.83 cnf(c165,plain,~incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c20, c6])).
% 2.67/2.83 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 2.67/2.83 fof(c29,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 2.67/2.83 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])).
% 2.67/2.83 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])).
% 2.67/2.83 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])).])).
% 2.67/2.83 cnf(c34,plain,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,[status(thm)],[c33])).
% 2.67/2.83 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 2.67/2.83 fof(c154,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 2.67/2.83 fof(c155,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c154])).
% 2.67/2.83 cnf(c156,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c155])).
% 2.67/2.83 cnf(c35,plain,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,[status(thm)],[c33])).
% 2.67/2.83 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 2.67/2.83 fof(c102,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 2.67/2.83 fof(c103,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c102])).
% 2.67/2.83 cnf(c104,plain,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,[status(thm)],[c103])).
% 2.67/2.83 cnf(c193,plain,convergent_lines(X190,X189)|equal_lines(X190,X189),inference(resolution,[status(thm)],[c104, c35])).
% 2.67/2.83 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)).
% 2.67/2.83 fof(c105,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 2.67/2.83 fof(c106,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c105])).
% 2.67/2.83 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])).])).
% 2.67/2.83 cnf(c109,plain,~convergent_lines(X325,X324)|distinct_lines(X324,X323)|convergent_lines(X325,X323),inference(split_conjunct,[status(thm)],[c108])).
% 2.67/2.83 cnf(c325,plain,distinct_lines(X778,X779)|convergent_lines(X780,X779)|equal_lines(X780,X778),inference(resolution,[status(thm)],[c109, c193])).
% 2.67/2.83 cnf(c800,plain,distinct_lines(X787,X788)|equal_lines(X788,X787),inference(resolution,[status(thm)],[c325, c156])).
% 2.67/2.83 cnf(c836,plain,equal_lines(X808,X807)|~equal_lines(X807,X808),inference(resolution,[status(thm)],[c800, c34])).
% 2.67/2.83 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 2.67/2.83 fof(c99,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 2.67/2.83 fof(c100,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c99])).
% 2.67/2.83 cnf(c101,plain,~convergent_lines(parallel_through_point(X106,X105),X106),inference(split_conjunct,[status(thm)],[c100])).
% 2.67/2.83 cnf(c834,plain,equal_lines(X795,X794)|convergent_lines(X794,X795),inference(resolution,[status(thm)],[c800, c104])).
% 2.67/2.83 cnf(c864,plain,equal_lines(X805,parallel_through_point(X805,X806)),inference(resolution,[status(thm)],[c834, c101])).
% 2.67/2.83 cnf(c808,plain,distinct_lines(X1010,X1011)|equal_lines(parallel_through_point(X1011,X1012),X1010),inference(resolution,[status(thm)],[c325, c101])).
% 2.67/2.83 cnf(c1183,plain,equal_lines(parallel_through_point(X1188,X1189),X1187)|~equal_lines(X1187,X1188),inference(resolution,[status(thm)],[c808, c34])).
% 2.67/2.83 cnf(c1646,plain,equal_lines(parallel_through_point(parallel_through_point(X1201,X1199),X1200),X1201),inference(resolution,[status(thm)],[c1183, c864])).
% 2.67/2.83 cnf(c1667,plain,equal_lines(X1203,parallel_through_point(parallel_through_point(X1203,X1204),X1202)),inference(resolution,[status(thm)],[c1646, c836])).
% 2.67/2.83 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)).
% 2.67/2.83 fof(c96,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 2.67/2.84 fof(c97,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c96])).
% 2.67/2.84 cnf(c98,plain,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,[status(thm)],[c97])).
% 2.67/2.84 cnf(c21,plain,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,[status(thm)],[c19])).
% 2.67/2.84 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)).
% 2.67/2.84 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])).
% 2.67/2.84 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])).
% 2.67/2.84 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])).])).
% 2.67/2.84 cnf(c114,plain,~apart_point_and_line(X338,X337)|distinct_lines(X337,X336)|apart_point_and_line(X338,X336),inference(split_conjunct,[status(thm)],[c113])).
% 2.67/2.84 cnf(c333,plain,distinct_lines(X1709,X1708)|apart_point_and_line(X1710,X1708)|incident_point_and_line(X1710,X1709),inference(resolution,[status(thm)],[c114, c21])).
% 2.67/2.84 cnf(c2726,plain,distinct_lines(X2741,parallel_through_point(X2740,X2739))|incident_point_and_line(X2739,X2741),inference(resolution,[status(thm)],[c333, c98])).
% 2.67/2.84 cnf(c5661,plain,incident_point_and_line(X3791,X3790)|~equal_lines(X3790,parallel_through_point(X3792,X3791)),inference(resolution,[status(thm)],[c2726, c34])).
% 2.67/2.84 cnf(c8843,plain,incident_point_and_line(X3793,X3794),inference(resolution,[status(thm)],[c5661, c1667])).
% 2.67/2.84 cnf(c8865,plain,$false,inference(resolution,[status(thm)],[c8843, c165])).
% 2.67/2.84 % SZS output end CNFRefutation
% 2.67/2.84
% 2.67/2.84 % Initial clauses : 49
% 2.67/2.84 % Processed clauses : 436
% 2.67/2.84 % Factors computed : 44
% 2.67/2.84 % Resolvents computed: 8659
% 2.67/2.84 % Tautologies deleted: 12
% 2.67/2.84 % Forward subsumed : 1006
% 2.67/2.84 % Backward subsumed : 63
% 2.67/2.84 % -------- CPU Time ---------
% 2.67/2.84 % User time : 2.489 s
% 2.67/2.84 % System time : 0.033 s
% 2.67/2.84 % Total time : 2.522 s
%------------------------------------------------------------------------------