%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:21:16 EDT 2024
% Result : Theorem 4.01s 4.20s
% Output : Refutation 4.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO174+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 08:21:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 4.01/4.20 % Version: 1.5
% 4.01/4.20 % SZS status Theorem
% 4.01/4.20 % SZS output start CNFRefutation
% 4.01/4.20 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 4.01/4.20 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 4.01/4.20 fof(c101,plain,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,[status(thm)],[c100])).
% 4.01/4.20 cnf(c102,plain,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,[status(thm)],[c101])).
% 4.01/4.20 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 4.01/4.20 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 4.01/4.20 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])).
% 4.01/4.20 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])).
% 4.01/4.20 fof(c34,plain,(![X18]:(![X19]:(![X20]:(![X21]:((~equal_lines(X18,X19)|~distinct_lines(X18,X19))&(distinct_lines(X20,X21)|equal_lines(X20,X21))))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((![X18]:(![X19]:(~equal_lines(X18,X19)|~distinct_lines(X18,X19))))&(![X20]:(![X21]:(distinct_lines(X20,X21)|equal_lines(X20,X21))))),inference(variable_rename,[status(thm)],[c32])).])).
% 4.01/4.20 cnf(c36,plain,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,[status(thm)],[c34])).
% 4.01/4.20 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 4.01/4.20 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 4.01/4.20 fof(c104,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c103])).
% 4.01/4.20 cnf(c105,plain,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,[status(thm)],[c104])).
% 4.01/4.20 cnf(c194,plain,convergent_lines(X188,X187)|equal_lines(X188,X187),inference(resolution,[status(thm)],[c105, c36])).
% 4.01/4.20 cnf(c208,plain,equal_lines(parallel_through_point(X193,X194),X193),inference(resolution,[status(thm)],[c194, c102])).
% 4.01/4.20 cnf(c35,plain,~equal_lines(X127,X128)|~distinct_lines(X127,X128),inference(split_conjunct,[status(thm)],[c34])).
% 4.01/4.20 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 4.01/4.20 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 4.01/4.20 fof(c156,plain,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,[status(thm)],[c155])).
% 4.01/4.20 cnf(c157,plain,~convergent_lines(X97,X97),inference(split_conjunct,[status(thm)],[c156])).
% 4.01/4.20 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)).
% 4.01/4.20 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 4.01/4.20 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 4.01/4.20 fof(c109,plain,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,[status(thm)],[fof(c108,plain,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,[status(thm)],[c107])).])).
% 4.01/4.20 cnf(c110,plain,~convergent_lines(X319,X318)|distinct_lines(X318,X317)|convergent_lines(X319,X317),inference(split_conjunct,[status(thm)],[c109])).
% 4.01/4.20 cnf(c358,plain,distinct_lines(X881,X879)|convergent_lines(X880,X879)|equal_lines(X880,X881),inference(resolution,[status(thm)],[c110, c194])).
% 4.01/4.20 cnf(c1330,plain,distinct_lines(X885,X884)|equal_lines(X884,X885),inference(resolution,[status(thm)],[c358, c157])).
% 4.01/4.20 cnf(c1352,plain,equal_lines(X900,X899)|~equal_lines(X899,X900),inference(resolution,[status(thm)],[c1330, c35])).
% 4.01/4.20 cnf(c1385,plain,equal_lines(X902,parallel_through_point(X902,X903)),inference(resolution,[status(thm)],[c1352, c208])).
% 4.01/4.20 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)).
% 4.01/4.20 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 4.01/4.20 fof(c98,plain,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,[status(thm)],[c97])).
% 4.01/4.20 cnf(c99,plain,~apart_point_and_line(X104,parallel_through_point(X105,X104)),inference(split_conjunct,[status(thm)],[c98])).
% 4.01/4.20 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)).
% 4.01/4.20 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 4.01/4.20 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])).
% 4.01/4.20 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])).
% 4.01/4.20 fof(c20,plain,(![X10]:(![X11]:(![X12]:(![X13]:((~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))&(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))))),inference(shift_quantors,[status(thm)],[fof(c19,plain,((![X10]:(![X11]:(~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))))&(![X12]:(![X13]:(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))),inference(variable_rename,[status(thm)],[c18])).])).
% 4.01/4.20 cnf(c22,plain,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,[status(thm)],[c20])).
% 4.01/4.20 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)).
% 4.01/4.20 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])).
% 4.01/4.20 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])).
% 4.01/4.20 fof(c114,plain,(![X67]:(![X68]:(![X69]:(~apart_point_and_line(X67,X68)|(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(shift_quantors,[status(thm)],[fof(c113,plain,(![X67]:(![X68]:(~apart_point_and_line(X67,X68)|(![X69]:(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(variable_rename,[status(thm)],[c112])).])).
% 4.01/4.20 cnf(c115,plain,~apart_point_and_line(X322,X323)|distinct_lines(X323,X321)|apart_point_and_line(X322,X321),inference(split_conjunct,[status(thm)],[c114])).
% 4.01/4.20 cnf(c387,plain,distinct_lines(X1455,X1454)|apart_point_and_line(X1453,X1454)|incident_point_and_line(X1453,X1455),inference(resolution,[status(thm)],[c115, c22])).
% 4.01/4.20 cnf(c3834,plain,distinct_lines(X2242,parallel_through_point(X2240,X2241))|incident_point_and_line(X2241,X2242),inference(resolution,[status(thm)],[c387, c99])).
% 4.01/4.20 cnf(c7966,plain,incident_point_and_line(X3018,X3017)|~equal_lines(X3017,parallel_through_point(X3019,X3018)),inference(resolution,[status(thm)],[c3834, c35])).
% 4.01/4.20 cnf(c11931,plain,incident_point_and_line(X3020,X3021),inference(resolution,[status(thm)],[c7966, c1385])).
% 4.01/4.20 cnf(c21,plain,~incident_point_and_line(X114,X115)|~apart_point_and_line(X114,X115),inference(split_conjunct,[status(thm)],[c20])).
% 4.01/4.20 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 4.01/4.20 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 4.01/4.20 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y))))))),inference(fof_nnf,[status(thm)],[c0])).
% 4.01/4.20 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y)))))),inference(shift_quantors,[status(thm)],[c1])).
% 4.01/4.20 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&(apart_point_and_line(X2,X4)|apart_point_and_line(X3,X4)))&~distinct_lines(X4,line_connecting(X2,X3)))))),inference(variable_rename,[status(thm)],[c2])).
% 4.01/4.20 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003)))&~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c3])).
% 4.01/4.20 cnf(c7,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 4.01/4.20 cnf(c166,plain,~incident_point_and_line(skolem0002,skolem0003)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c21, c7])).
% 4.01/4.20 cnf(c11954,plain,apart_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c11931, c166])).
% 4.01/4.20 cnf(c11956,plain,~incident_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c11954, c21])).
% 4.01/4.20 cnf(c12238,plain,$false,inference(resolution,[status(thm)],[c11956, c11931])).
% 4.01/4.20 % SZS output end CNFRefutation
% 4.01/4.20
% 4.01/4.20 % Initial clauses : 50
% 4.01/4.20 % Processed clauses : 542
% 4.01/4.20 % Factors computed : 56
% 4.01/4.20 % Resolvents computed: 12019
% 4.01/4.20 % Tautologies deleted: 12
% 4.01/4.20 % Forward subsumed : 1122
% 4.01/4.20 % Backward subsumed : 69
% 4.01/4.20 % -------- CPU Time ---------
% 4.01/4.20 % User time : 3.803 s
% 4.01/4.20 % System time : 0.038 s
% 4.01/4.20 % Total time : 3.841 s
%------------------------------------------------------------------------------