%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:21:17 EDT 2024
% Result : Theorem 3.52s 3.68s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 07:55:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 3.52/3.68 % Version: 1.5
% 3.52/3.68 % SZS status Theorem
% 3.52/3.68 % SZS output start CNFRefutation
% 3.52/3.68 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 3.52/3.68 fof(c29,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 3.52/3.68 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])).
% 3.52/3.68 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])).
% 3.52/3.68 fof(c33,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(c32,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)],[c31])).])).
% 3.52/3.68 cnf(c34,plain,~equal_lines(X128,X127)|~distinct_lines(X128,X127),inference(split_conjunct,[status(thm)],[c33])).
% 3.52/3.68 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 3.52/3.68 fof(c154,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 3.52/3.68 fof(c155,plain,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,[status(thm)],[c154])).
% 3.52/3.68 cnf(c156,plain,~convergent_lines(X97,X97),inference(split_conjunct,[status(thm)],[c155])).
% 3.52/3.68 cnf(c35,plain,distinct_lines(X131,X132)|equal_lines(X131,X132),inference(split_conjunct,[status(thm)],[c33])).
% 3.52/3.68 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 3.52/3.68 fof(c102,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 3.52/3.68 fof(c103,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c102])).
% 3.52/3.68 cnf(c104,plain,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,[status(thm)],[c103])).
% 3.52/3.68 cnf(c193,plain,convergent_lines(X187,X188)|equal_lines(X187,X188),inference(resolution,[status(thm)],[c104, c35])).
% 3.52/3.68 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)).
% 3.52/3.68 fof(c105,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 3.52/3.68 fof(c106,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c105])).
% 3.52/3.68 fof(c108,plain,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,[status(thm)],[fof(c107,plain,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,[status(thm)],[c106])).])).
% 3.52/3.68 cnf(c109,plain,~convergent_lines(X317,X318)|distinct_lines(X318,X319)|convergent_lines(X317,X319),inference(split_conjunct,[status(thm)],[c108])).
% 3.52/3.68 cnf(c357,plain,distinct_lines(X875,X877)|convergent_lines(X876,X877)|equal_lines(X876,X875),inference(resolution,[status(thm)],[c109, c193])).
% 3.52/3.68 cnf(c1265,plain,distinct_lines(X880,X881)|equal_lines(X881,X880),inference(resolution,[status(thm)],[c357, c156])).
% 3.52/3.68 cnf(c1309,plain,equal_lines(X892,X891)|~equal_lines(X891,X892),inference(resolution,[status(thm)],[c1265, c34])).
% 3.52/3.68 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 3.52/3.68 fof(c99,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 3.52/3.68 fof(c100,plain,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,[status(thm)],[c99])).
% 3.52/3.68 cnf(c101,plain,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,[status(thm)],[c100])).
% 3.52/3.68 cnf(c206,plain,equal_lines(parallel_through_point(X193,X194),X193),inference(resolution,[status(thm)],[c193, c101])).
% 3.52/3.68 cnf(c1338,plain,equal_lines(X898,parallel_through_point(X898,X899)),inference(resolution,[status(thm)],[c1309, c206])).
% 3.52/3.68 cnf(c1268,plain,distinct_lines(X1943,X1944)|equal_lines(parallel_through_point(X1944,X1945),X1943),inference(resolution,[status(thm)],[c357, c101])).
% 3.52/3.68 cnf(c5886,plain,equal_lines(parallel_through_point(X2478,X2477),X2476)|~equal_lines(X2476,X2478),inference(resolution,[status(thm)],[c1268, c34])).
% 3.52/3.68 cnf(c8668,plain,equal_lines(parallel_through_point(parallel_through_point(X2485,X2484),X2486),X2485),inference(resolution,[status(thm)],[c5886, c1338])).
% 3.52/3.68 cnf(c8686,plain,equal_lines(X2503,parallel_through_point(parallel_through_point(X2503,X2505),X2504)),inference(resolution,[status(thm)],[c8668, c1309])).
% 3.52/3.68 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)).
% 3.52/3.68 fof(c96,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 3.52/3.68 fof(c97,plain,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,[status(thm)],[c96])).
% 3.52/3.68 cnf(c98,plain,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,[status(thm)],[c97])).
% 3.52/3.68 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)).
% 3.52/3.68 fof(c15,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 3.52/3.68 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])).
% 3.52/3.68 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])).
% 3.52/3.68 fof(c19,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(c18,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)],[c17])).])).
% 3.52/3.68 cnf(c21,plain,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,[status(thm)],[c19])).
% 3.52/3.68 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)).
% 3.52/3.68 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])).
% 3.52/3.68 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])).
% 3.52/3.68 fof(c113,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(c112,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)],[c111])).])).
% 3.52/3.68 cnf(c114,plain,~apart_point_and_line(X322,X321)|distinct_lines(X321,X323)|apart_point_and_line(X322,X323),inference(split_conjunct,[status(thm)],[c113])).
% 3.52/3.68 cnf(c387,plain,distinct_lines(X1504,X1503)|apart_point_and_line(X1505,X1503)|incident_point_and_line(X1505,X1504),inference(resolution,[status(thm)],[c114, c21])).
% 3.52/3.68 cnf(c3720,plain,distinct_lines(X2213,parallel_through_point(X2212,X2211))|incident_point_and_line(X2211,X2213),inference(resolution,[status(thm)],[c387, c98])).
% 3.52/3.68 cnf(c7166,plain,incident_point_and_line(X2987,X2988)|~equal_lines(X2988,parallel_through_point(X2986,X2987)),inference(resolution,[status(thm)],[c3720, c34])).
% 3.52/3.68 cnf(c10573,plain,incident_point_and_line(X2989,X2990),inference(resolution,[status(thm)],[c7166, c8686])).
% 3.52/3.68 cnf(c20,plain,~incident_point_and_line(X115,X114)|~apart_point_and_line(X115,X114),inference(split_conjunct,[status(thm)],[c19])).
% 3.52/3.68 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(X,V)))=>distinct_points(X,intersection_point(U,V))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 3.52/3.68 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(X,V)))=>distinct_points(X,intersection_point(U,V)))))))),inference(assume_negation,[status(cth)],[con])).
% 3.52/3.68 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(X,V)))&~distinct_points(X,intersection_point(U,V))))))),inference(fof_nnf,[status(thm)],[c0])).
% 3.52/3.68 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((distinct_points(X2,X3)&convergent_lines(X4,X5))&(apart_point_and_line(X2,X4)|apart_point_and_line(X2,X5)))&~distinct_points(X2,intersection_point(X4,X5))))))),inference(variable_rename,[status(thm)],[c1])).
% 3.52/3.68 fof(c3,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004)))&~distinct_points(skolem0001,intersection_point(skolem0003,skolem0004))),inference(skolemize,[status(esa)],[c2])).
% 3.52/3.68 cnf(c6,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0001,skolem0004),inference(split_conjunct,[status(thm)],[c3])).
% 3.52/3.68 cnf(c166,plain,~incident_point_and_line(skolem0001,skolem0004)|apart_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c20, c6])).
% 3.52/3.68 cnf(c10595,plain,apart_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c10573, c166])).
% 3.52/3.68 cnf(c10599,plain,~incident_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c10595, c20])).
% 3.52/3.68 cnf(c10605,plain,$false,inference(resolution,[status(thm)],[c10599, c10573])).
% 3.52/3.68 % SZS output end CNFRefutation
% 3.52/3.68
% 3.52/3.68 % Initial clauses : 50
% 3.52/3.68 % Processed clauses : 519
% 3.52/3.68 % Factors computed : 54
% 3.52/3.68 % Resolvents computed: 10389
% 3.52/3.68 % Tautologies deleted: 12
% 3.52/3.68 % Forward subsumed : 1072
% 3.52/3.68 % Backward subsumed : 69
% 3.52/3.68 % -------- CPU Time ---------
% 3.52/3.68 % User time : 3.298 s
% 3.52/3.68 % System time : 0.031 s
% 3.52/3.68 % Total time : 3.329 s
%------------------------------------------------------------------------------