%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:21:21 EDT 2024
% Result : Theorem 4.17s 4.33s
% Output : Refutation 4.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.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 08:24:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 4.17/4.33 % Version: 1.5
% 4.17/4.33 % SZS status Theorem
% 4.17/4.33 % SZS output start CNFRefutation
% 4.17/4.33 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 4.17/4.33 fof(c30,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 4.17/4.33 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])).
% 4.17/4.33 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])).
% 4.17/4.33 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])).])).
% 4.17/4.33 cnf(c35,plain,~equal_lines(X128,X127)|~distinct_lines(X128,X127),inference(split_conjunct,[status(thm)],[c34])).
% 4.17/4.33 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 4.17/4.33 fof(c155,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 4.17/4.33 fof(c156,plain,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,[status(thm)],[c155])).
% 4.17/4.33 cnf(c157,plain,~convergent_lines(X97,X97),inference(split_conjunct,[status(thm)],[c156])).
% 4.17/4.33 cnf(c36,plain,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,[status(thm)],[c34])).
% 4.17/4.33 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 4.17/4.33 fof(c103,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 4.17/4.33 fof(c104,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c103])).
% 4.17/4.33 cnf(c105,plain,~distinct_lines(X163,X162)|convergent_lines(X163,X162),inference(split_conjunct,[status(thm)],[c104])).
% 4.17/4.33 cnf(c192,plain,convergent_lines(X188,X187)|equal_lines(X188,X187),inference(resolution,[status(thm)],[c105, c36])).
% 4.17/4.33 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)).
% 4.17/4.33 fof(c106,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 4.17/4.33 fof(c107,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c106])).
% 4.17/4.33 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])).])).
% 4.17/4.33 cnf(c110,plain,~convergent_lines(X321,X319)|distinct_lines(X319,X320)|convergent_lines(X321,X320),inference(split_conjunct,[status(thm)],[c109])).
% 4.17/4.33 cnf(c357,plain,distinct_lines(X879,X881)|convergent_lines(X880,X881)|equal_lines(X880,X879),inference(resolution,[status(thm)],[c110, c192])).
% 4.17/4.33 cnf(c1301,plain,distinct_lines(X889,X888)|equal_lines(X888,X889),inference(resolution,[status(thm)],[c357, c157])).
% 4.17/4.33 cnf(c1346,plain,equal_lines(X912,X913)|~equal_lines(X913,X912),inference(resolution,[status(thm)],[c1301, c35])).
% 4.17/4.33 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 4.17/4.33 fof(c100,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 4.17/4.33 fof(c101,plain,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,[status(thm)],[c100])).
% 4.17/4.33 cnf(c102,plain,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,[status(thm)],[c101])).
% 4.17/4.33 cnf(c1344,plain,equal_lines(X899,X900)|convergent_lines(X900,X899),inference(resolution,[status(thm)],[c1301, c105])).
% 4.17/4.33 cnf(c1403,plain,equal_lines(X911,parallel_through_point(X911,X910)),inference(resolution,[status(thm)],[c1344, c102])).
% 4.17/4.33 cnf(c1305,plain,distinct_lines(X1961,X1962)|equal_lines(parallel_through_point(X1962,X1960),X1961),inference(resolution,[status(thm)],[c357, c102])).
% 4.17/4.33 cnf(c6152,plain,equal_lines(parallel_through_point(X2523,X2525),X2524)|~equal_lines(X2524,X2523),inference(resolution,[status(thm)],[c1305, c35])).
% 4.17/4.33 cnf(c9793,plain,equal_lines(parallel_through_point(parallel_through_point(X2536,X2535),X2537),X2536),inference(resolution,[status(thm)],[c6152, c1403])).
% 4.17/4.33 cnf(c9810,plain,equal_lines(X2553,parallel_through_point(parallel_through_point(X2553,X2552),X2551)),inference(resolution,[status(thm)],[c9793, c1346])).
% 4.17/4.33 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)).
% 4.17/4.33 fof(c97,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 4.17/4.33 fof(c98,plain,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,[status(thm)],[c97])).
% 4.17/4.33 cnf(c99,plain,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,[status(thm)],[c98])).
% 4.17/4.33 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)).
% 4.17/4.33 fof(c16,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 4.17/4.33 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])).
% 4.17/4.33 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])).
% 4.17/4.33 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])).])).
% 4.17/4.33 cnf(c22,plain,apart_point_and_line(X117,X116)|incident_point_and_line(X117,X116),inference(split_conjunct,[status(thm)],[c20])).
% 4.17/4.33 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)).
% 4.17/4.33 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])).
% 4.17/4.33 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])).
% 4.17/4.33 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])).])).
% 4.17/4.33 cnf(c115,plain,~apart_point_and_line(X323,X325)|distinct_lines(X325,X324)|apart_point_and_line(X323,X324),inference(split_conjunct,[status(thm)],[c114])).
% 4.17/4.33 cnf(c385,plain,distinct_lines(X1446,X1447)|apart_point_and_line(X1448,X1447)|incident_point_and_line(X1448,X1446),inference(resolution,[status(thm)],[c115, c22])).
% 4.17/4.33 cnf(c3763,plain,distinct_lines(X2243,parallel_through_point(X2241,X2242))|incident_point_and_line(X2242,X2243),inference(resolution,[status(thm)],[c385, c99])).
% 4.17/4.33 cnf(c7959,plain,incident_point_and_line(X3052,X3051)|~equal_lines(X3051,parallel_through_point(X3050,X3052)),inference(resolution,[status(thm)],[c3763, c35])).
% 4.17/4.33 cnf(c12328,plain,incident_point_and_line(X3054,X3053),inference(resolution,[status(thm)],[c7959, c9810])).
% 4.17/4.33 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&equal_lines(U,line_connecting(X,Y)))=>(incident_point_and_line(X,U)&incident_point_and_line(Y,U))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 4.17/4.33 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&equal_lines(U,line_connecting(X,Y)))=>(incident_point_and_line(X,U)&incident_point_and_line(Y,U)))))))),inference(assume_negation,[status(cth)],[con])).
% 4.17/4.33 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&equal_lines(U,line_connecting(X,Y)))&(~incident_point_and_line(X,U)|~incident_point_and_line(Y,U))))))),inference(fof_nnf,[status(thm)],[c0])).
% 4.17/4.33 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&equal_lines(U,line_connecting(X,Y)))&(~incident_point_and_line(X,U)|~incident_point_and_line(Y,U)))))),inference(shift_quantors,[status(thm)],[c1])).
% 4.17/4.33 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&equal_lines(X4,line_connecting(X2,X3)))&(~incident_point_and_line(X2,X4)|~incident_point_and_line(X3,X4)))))),inference(variable_rename,[status(thm)],[c2])).
% 4.17/4.33 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&equal_lines(skolem0003,line_connecting(skolem0001,skolem0002)))&(~incident_point_and_line(skolem0001,skolem0003)|~incident_point_and_line(skolem0002,skolem0003))),inference(skolemize,[status(esa)],[c3])).
% 4.17/4.33 cnf(c8,negated_conjecture,~incident_point_and_line(skolem0001,skolem0003)|~incident_point_and_line(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 4.17/4.33 cnf(c12344,plain,~incident_point_and_line(skolem0001,skolem0003),inference(resolution,[status(thm)],[c12328, c8])).
% 4.17/4.33 cnf(c12608,plain,$false,inference(resolution,[status(thm)],[c12344, c12328])).
% 4.17/4.33 % SZS output end CNFRefutation
% 4.17/4.33
% 4.17/4.33 % Initial clauses : 50
% 4.17/4.33 % Processed clauses : 543
% 4.17/4.33 % Factors computed : 57
% 4.17/4.33 % Resolvents computed: 12388
% 4.17/4.33 % Tautologies deleted: 12
% 4.17/4.33 % Forward subsumed : 1120
% 4.17/4.33 % Backward subsumed : 70
% 4.17/4.33 % -------- CPU Time ---------
% 4.17/4.33 % User time : 3.943 s
% 4.17/4.33 % System time : 0.036 s
% 4.17/4.33 % Total time : 3.979 s
%------------------------------------------------------------------------------