%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:21:23 EDT 2024
% Result : Theorem 2.34s 2.58s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO190+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n004.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 07:53:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 2.34/2.58 % Version: 1.5
% 2.34/2.58 % SZS status Theorem
% 2.34/2.58 % SZS output start CNFRefutation
% 2.34/2.58 fof(con,conjecture,(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))=>incident_point_and_line(Z,line_connecting(Y,X)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 2.34/2.58 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))=>incident_point_and_line(Z,line_connecting(Y,X))))))),inference(assume_negation,[status(cth)],[con])).
% 2.34/2.58 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((((distinct_points(X,Y)&distinct_points(X,Z))&distinct_points(Y,Z))&incident_point_and_line(Z,line_connecting(X,Y)))&~incident_point_and_line(Z,line_connecting(Y,X)))))),inference(fof_nnf,[status(thm)],[c0])).
% 2.34/2.58 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((((distinct_points(X2,X3)&distinct_points(X2,X4))&distinct_points(X3,X4))&incident_point_and_line(X4,line_connecting(X2,X3)))&~incident_point_and_line(X4,line_connecting(X3,X2)))))),inference(variable_rename,[status(thm)],[c1])).
% 2.34/2.58 fof(c3,negated_conjecture,((((distinct_points(skolem0001,skolem0002)&distinct_points(skolem0001,skolem0003))&distinct_points(skolem0002,skolem0003))&incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&~incident_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001))),inference(skolemize,[status(esa)],[c2])).
% 2.34/2.58 cnf(c8,negated_conjecture,~incident_point_and_line(skolem0003,line_connecting(skolem0002,skolem0001)),inference(split_conjunct,[status(thm)],[c3])).
% 2.34/2.58 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a3)).
% 2.34/2.58 fof(c23,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).])).
% 2.34/2.58 cnf(c28,plain,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,[status(thm)],[c27])).
% 2.34/2.58 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 2.34/2.58 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).])).
% 2.34/2.58 cnf(c36,plain,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,[status(thm)],[c34])).
% 2.34/2.58 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 2.34/2.58 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 2.34/2.58 fof(c104,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c103])).
% 2.34/2.58 cnf(c105,plain,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,[status(thm)],[c104])).
% 2.34/2.58 cnf(c197,plain,convergent_lines(X190,X189)|equal_lines(X190,X189),inference(resolution,[status(thm)],[c105, c36])).
% 2.34/2.58 cnf(c214,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,[status(thm)],[c197, c28])).
% 2.34/2.58 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 2.34/2.58 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 2.34/2.58 fof(c156,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c155])).
% 2.34/2.58 cnf(c157,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c156])).
% 2.34/2.58 cnf(c29,plain,convergent_lines(X123,X124)|parallel_lines(X123,X124),inference(split_conjunct,[status(thm)],[c27])).
% 2.34/2.58 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)).
% 2.34/2.58 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 2.34/2.58 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 2.34/2.58 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])).])).
% 2.34/2.58 cnf(c110,plain,~convergent_lines(X313,X314)|distinct_lines(X314,X315)|convergent_lines(X313,X315),inference(split_conjunct,[status(thm)],[c109])).
% 2.34/2.58 cnf(c338,plain,distinct_lines(X815,X816)|convergent_lines(X814,X816)|parallel_lines(X814,X815),inference(resolution,[status(thm)],[c110, c29])).
% 2.34/2.58 cnf(c925,plain,distinct_lines(X819,X820)|parallel_lines(X820,X819),inference(resolution,[status(thm)],[c338, c157])).
% 2.34/2.58 cnf(c945,plain,parallel_lines(X830,X831)|convergent_lines(X831,X830),inference(resolution,[status(thm)],[c925, c105])).
% 2.34/2.58 cnf(c970,plain,convergent_lines(X881,X880)|equal_lines(X880,X881),inference(resolution,[status(thm)],[c945, c214])).
% 2.34/2.58 cnf(c1112,plain,equal_lines(X958,X957)|~parallel_lines(X957,X958),inference(resolution,[status(thm)],[c970, c28])).
% 2.34/2.58 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 2.34/2.58 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 2.34/2.58 fof(c101,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c100])).
% 2.34/2.58 cnf(c102,plain,~convergent_lines(parallel_through_point(X106,X105),X106),inference(split_conjunct,[status(thm)],[c101])).
% 2.34/2.58 cnf(c977,plain,parallel_lines(X842,parallel_through_point(X842,X841)),inference(resolution,[status(thm)],[c945, c102])).
% 2.34/2.58 cnf(c1045,plain,equal_lines(X844,parallel_through_point(X844,X843)),inference(resolution,[status(thm)],[c977, c214])).
% 2.34/2.58 cnf(c35,plain,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,[status(thm)],[c34])).
% 2.34/2.58 cnf(c913,plain,distinct_lines(X1361,X1362)|parallel_lines(parallel_through_point(X1362,X1360),X1361),inference(resolution,[status(thm)],[c338, c102])).
% 2.34/2.58 cnf(c1713,plain,parallel_lines(parallel_through_point(X1722,X1724),X1723)|~equal_lines(X1723,X1722),inference(resolution,[status(thm)],[c913, c35])).
% 2.34/2.58 cnf(c2591,plain,parallel_lines(parallel_through_point(parallel_through_point(X1732,X1731),X1733),X1732),inference(resolution,[status(thm)],[c1713, c1045])).
% 2.34/2.58 cnf(c2610,plain,equal_lines(X1750,parallel_through_point(parallel_through_point(X1750,X1751),X1752)),inference(resolution,[status(thm)],[c2591, c1112])).
% 2.34/2.58 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)).
% 2.34/2.58 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 2.34/2.58 fof(c98,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c97])).
% 2.34/2.58 cnf(c99,plain,~apart_point_and_line(X103,parallel_through_point(X104,X103)),inference(split_conjunct,[status(thm)],[c98])).
% 2.34/2.58 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)).
% 2.34/2.58 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).])).
% 2.34/2.58 cnf(c22,plain,apart_point_and_line(X116,X115)|incident_point_and_line(X116,X115),inference(split_conjunct,[status(thm)],[c20])).
% 2.34/2.58 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)).
% 2.34/2.58 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])).
% 2.34/2.58 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])).
% 2.34/2.58 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])).])).
% 2.34/2.58 cnf(c115,plain,~apart_point_and_line(X323,X322)|distinct_lines(X322,X324)|apart_point_and_line(X323,X324),inference(split_conjunct,[status(thm)],[c114])).
% 2.34/2.58 cnf(c343,plain,distinct_lines(X1566,X1567)|apart_point_and_line(X1565,X1567)|incident_point_and_line(X1565,X1566),inference(resolution,[status(thm)],[c115, c22])).
% 2.34/2.58 cnf(c2323,plain,distinct_lines(X2354,parallel_through_point(X2352,X2353))|incident_point_and_line(X2353,X2354),inference(resolution,[status(thm)],[c343, c99])).
% 2.34/2.58 cnf(c4390,plain,incident_point_and_line(X3092,X3090)|~equal_lines(X3090,parallel_through_point(X3091,X3092)),inference(resolution,[status(thm)],[c2323, c35])).
% 2.34/2.58 cnf(c6728,plain,incident_point_and_line(X3097,X3098),inference(resolution,[status(thm)],[c4390, c2610])).
% 2.34/2.58 cnf(c6810,plain,$false,inference(resolution,[status(thm)],[c6728, c8])).
% 2.34/2.58 % SZS output end CNFRefutation
% 2.34/2.58
% 2.34/2.58 % Initial clauses : 51
% 2.34/2.58 % Processed clauses : 446
% 2.34/2.58 % Factors computed : 42
% 2.34/2.58 % Resolvents computed: 6605
% 2.34/2.58 % Tautologies deleted: 12
% 2.34/2.58 % Forward subsumed : 905
% 2.34/2.58 % Backward subsumed : 76
% 2.34/2.58 % -------- CPU Time ---------
% 2.34/2.58 % User time : 2.187 s
% 2.34/2.58 % System time : 0.031 s
% 2.34/2.58 % Total time : 2.218 s
%------------------------------------------------------------------------------