%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:21:24 EDT 2024
% Result : Theorem 7.90s 8.13s
% Output : Refutation 7.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n019.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 08:10:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 7.90/8.13 % Version: 1.5
% 7.90/8.13 % SZS status Theorem
% 7.90/8.13 % SZS output start CNFRefutation
% 7.90/8.13 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 7.90/8.13 fof(c23,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).
% 7.90/8.13 fof(c27,plain,(![X14]:(![X15]:(![X16]:(![X17]:((~parallel_lines(X14,X15)|~convergent_lines(X14,X15))&(convergent_lines(X16,X17)|parallel_lines(X16,X17))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X14]:(![X15]:(~parallel_lines(X14,X15)|~convergent_lines(X14,X15))))&(![X16]:(![X17]:(convergent_lines(X16,X17)|parallel_lines(X16,X17))))),inference(variable_rename,[status(thm)],[c25])).])).
% 7.90/8.13 cnf(c28,plain,~parallel_lines(X122,X123)|~convergent_lines(X122,X123),inference(split_conjunct,[status(thm)],[c27])).
% 7.90/8.13 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 7.90/8.13 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).])).
% 7.90/8.13 cnf(c36,plain,distinct_lines(X131,X132)|equal_lines(X131,X132),inference(split_conjunct,[status(thm)],[c34])).
% 7.90/8.13 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 7.90/8.13 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 7.90/8.13 fof(c104,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c103])).
% 7.90/8.13 cnf(c105,plain,~distinct_lines(X162,X163)|convergent_lines(X162,X163),inference(split_conjunct,[status(thm)],[c104])).
% 7.90/8.13 cnf(c195,plain,convergent_lines(X190,X191)|equal_lines(X190,X191),inference(resolution,[status(thm)],[c105, c36])).
% 7.90/8.13 cnf(c214,plain,equal_lines(X203,X202)|~parallel_lines(X203,X202),inference(resolution,[status(thm)],[c195, c28])).
% 7.90/8.13 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 7.90/8.13 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 7.90/8.13 fof(c156,plain,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,[status(thm)],[c155])).
% 7.90/8.13 cnf(c157,plain,~convergent_lines(X97,X97),inference(split_conjunct,[status(thm)],[c156])).
% 7.90/8.13 cnf(c29,plain,convergent_lines(X124,X125)|parallel_lines(X124,X125),inference(split_conjunct,[status(thm)],[c27])).
% 7.90/8.13 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)).
% 7.90/8.13 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 7.90/8.13 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 7.90/8.13 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])).])).
% 7.90/8.13 cnf(c110,plain,~convergent_lines(X304,X303)|distinct_lines(X303,X302)|convergent_lines(X304,X302),inference(split_conjunct,[status(thm)],[c109])).
% 7.90/8.13 cnf(c377,plain,distinct_lines(X941,X940)|convergent_lines(X942,X940)|parallel_lines(X942,X941),inference(resolution,[status(thm)],[c110, c29])).
% 7.90/8.13 cnf(c1551,plain,distinct_lines(X948,X947)|parallel_lines(X947,X948),inference(resolution,[status(thm)],[c377, c157])).
% 7.90/8.13 cnf(c1582,plain,parallel_lines(X977,X976)|convergent_lines(X976,X977),inference(resolution,[status(thm)],[c1551, c105])).
% 7.90/8.13 cnf(c1712,plain,convergent_lines(X1019,X1020)|equal_lines(X1020,X1019),inference(resolution,[status(thm)],[c1582, c214])).
% 7.90/8.13 cnf(c1916,plain,equal_lines(X1093,X1094)|~parallel_lines(X1094,X1093),inference(resolution,[status(thm)],[c1712, c28])).
% 7.90/8.13 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 7.90/8.13 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 7.90/8.13 fof(c101,plain,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,[status(thm)],[c100])).
% 7.90/8.13 cnf(c102,plain,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,[status(thm)],[c101])).
% 7.90/8.13 cnf(c215,plain,equal_lines(parallel_through_point(X194,X193),X194),inference(resolution,[status(thm)],[c195, c102])).
% 7.90/8.13 cnf(c35,plain,~equal_lines(X126,X127)|~distinct_lines(X126,X127),inference(split_conjunct,[status(thm)],[c34])).
% 7.90/8.13 cnf(c1578,plain,parallel_lines(X957,X956)|~equal_lines(X956,X957),inference(resolution,[status(thm)],[c1551, c35])).
% 7.90/8.13 cnf(c1632,plain,parallel_lines(X961,parallel_through_point(X961,X962)),inference(resolution,[status(thm)],[c1578, c215])).
% 7.90/8.13 cnf(c1651,plain,equal_lines(X966,parallel_through_point(X966,X965)),inference(resolution,[status(thm)],[c1632, c214])).
% 7.90/8.13 cnf(c1556,plain,distinct_lines(X2439,X2438)|parallel_lines(parallel_through_point(X2438,X2437),X2439),inference(resolution,[status(thm)],[c377, c102])).
% 7.90/8.13 cnf(c11486,plain,parallel_lines(parallel_through_point(X3046,X3045),X3047)|~equal_lines(X3047,X3046),inference(resolution,[status(thm)],[c1556, c35])).
% 7.90/8.13 cnf(c17095,plain,parallel_lines(parallel_through_point(parallel_through_point(X3052,X3051),X3050),X3052),inference(resolution,[status(thm)],[c11486, c1651])).
% 7.90/8.13 cnf(c17115,plain,equal_lines(X3069,parallel_through_point(parallel_through_point(X3069,X3068),X3067)),inference(resolution,[status(thm)],[c17095, c1916])).
% 7.90/8.13 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)).
% 7.90/8.13 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 7.90/8.13 fof(c98,plain,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,[status(thm)],[c97])).
% 7.90/8.13 cnf(c99,plain,~apart_point_and_line(X104,parallel_through_point(X105,X104)),inference(split_conjunct,[status(thm)],[c98])).
% 7.90/8.13 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)).
% 7.90/8.13 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).])).
% 7.90/8.13 cnf(c22,plain,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,[status(thm)],[c20])).
% 7.90/8.13 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)).
% 7.90/8.13 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])).
% 7.90/8.13 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])).
% 7.90/8.13 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])).])).
% 7.90/8.13 cnf(c115,plain,~apart_point_and_line(X307,X308)|distinct_lines(X308,X306)|apart_point_and_line(X307,X306),inference(split_conjunct,[status(thm)],[c114])).
% 7.90/8.13 cnf(c403,plain,distinct_lines(X1592,X1591)|apart_point_and_line(X1590,X1591)|incident_point_and_line(X1590,X1592),inference(resolution,[status(thm)],[c115, c22])).
% 7.90/8.13 cnf(c4722,plain,distinct_lines(X2794,parallel_through_point(X2792,X2793))|incident_point_and_line(X2793,X2794),inference(resolution,[status(thm)],[c403, c99])).
% 7.90/8.13 cnf(c14234,plain,incident_point_and_line(X3527,X3526)|~equal_lines(X3526,parallel_through_point(X3528,X3527)),inference(resolution,[status(thm)],[c4722, c35])).
% 7.90/8.13 cnf(c22227,plain,incident_point_and_line(X3529,X3530),inference(resolution,[status(thm)],[c14234, c17115])).
% 7.90/8.13 cnf(c21,plain,~incident_point_and_line(X115,X114)|~apart_point_and_line(X115,X114),inference(split_conjunct,[status(thm)],[c20])).
% 7.90/8.13 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((convergent_lines(X,Y)&convergent_lines(U,V))&(apart_point_and_line(intersection_point(X,Y),U)|apart_point_and_line(intersection_point(X,Y),V)))=>(apart_point_and_line(intersection_point(U,V),X)|apart_point_and_line(intersection_point(U,V),Y))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 7.90/8.13 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((convergent_lines(X,Y)&convergent_lines(U,V))&(apart_point_and_line(intersection_point(X,Y),U)|apart_point_and_line(intersection_point(X,Y),V)))=>(apart_point_and_line(intersection_point(U,V),X)|apart_point_and_line(intersection_point(U,V),Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 7.90/8.13 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((convergent_lines(X,Y)&convergent_lines(U,V))&(apart_point_and_line(intersection_point(X,Y),U)|apart_point_and_line(intersection_point(X,Y),V)))&(~apart_point_and_line(intersection_point(U,V),X)&~apart_point_and_line(intersection_point(U,V),Y))))))),inference(fof_nnf,[status(thm)],[c0])).
% 7.90/8.13 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((convergent_lines(X2,X3)&convergent_lines(X4,X5))&(apart_point_and_line(intersection_point(X2,X3),X4)|apart_point_and_line(intersection_point(X2,X3),X5)))&(~apart_point_and_line(intersection_point(X4,X5),X2)&~apart_point_and_line(intersection_point(X4,X5),X3))))))),inference(variable_rename,[status(thm)],[c1])).
% 7.90/8.13 fof(c3,negated_conjecture,(((convergent_lines(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0004)))&(~apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0001)&~apart_point_and_line(intersection_point(skolem0003,skolem0004),skolem0002))),inference(skolemize,[status(esa)],[c2])).
% 7.90/8.13 cnf(c6,negated_conjecture,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0004),inference(split_conjunct,[status(thm)],[c3])).
% 7.90/8.13 cnf(c166,plain,~incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0004)|apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c21, c6])).
% 7.90/8.13 cnf(c22252,plain,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c22227, c166])).
% 7.90/8.13 cnf(c22254,plain,~incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(resolution,[status(thm)],[c22252, c21])).
% 7.90/8.13 cnf(c22260,plain,$false,inference(resolution,[status(thm)],[c22254, c22227])).
% 7.90/8.13 % SZS output end CNFRefutation
% 7.90/8.13
% 7.90/8.13 % Initial clauses : 51
% 7.90/8.13 % Processed clauses : 660
% 7.90/8.13 % Factors computed : 100
% 7.90/8.13 % Resolvents computed: 21997
% 7.90/8.13 % Tautologies deleted: 12
% 7.90/8.13 % Forward subsumed : 1424
% 7.90/8.13 % Backward subsumed : 76
% 7.90/8.13 % -------- CPU Time ---------
% 7.90/8.13 % User time : 7.716 s
% 7.90/8.13 % System time : 0.055 s
% 7.90/8.13 % Total time : 7.771 s
%------------------------------------------------------------------------------