%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 17:21:19 EDT 2024
% Result : Theorem 2.72s 2.90s
% Output : Refutation 2.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO179+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 : n011.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 07:48:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 2.72/2.90 % Version: 1.5
% 2.72/2.90 % SZS status Theorem
% 2.72/2.90 % SZS output start CNFRefutation
% 2.72/2.90 fof(con,conjecture,(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 2.72/2.90 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))=>(distinct_lines(line_connecting(X,Y),line_connecting(Z,X))&distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)))))))),inference(assume_negation,[status(cth)],[con])).
% 2.72/2.90 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((distinct_points(X,Y)&apart_point_and_line(Z,line_connecting(X,Y)))&(~distinct_lines(line_connecting(X,Y),line_connecting(Z,X))|~distinct_lines(line_connecting(X,Y),line_connecting(Z,Y))))))),inference(fof_nnf,[status(thm)],[c0])).
% 2.72/2.90 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((distinct_points(X2,X3)&apart_point_and_line(X4,line_connecting(X2,X3)))&(~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X2))|~distinct_lines(line_connecting(X2,X3),line_connecting(X4,X3))))))),inference(variable_rename,[status(thm)],[c1])).
% 2.72/2.90 fof(c3,negated_conjecture,((distinct_points(skolem0001,skolem0002)&apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)))&(~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0001))|~distinct_lines(line_connecting(skolem0001,skolem0002),line_connecting(skolem0003,skolem0002)))),inference(skolemize,[status(esa)],[c2])).
% 2.72/2.90 cnf(c5,negated_conjecture,apart_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(split_conjunct,[status(thm)],[c3])).
% 2.72/2.90 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)).
% 2.72/2.90 fof(c14,plain,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,[status(thm)],[a4])).
% 2.72/2.90 fof(c15,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)],[c14])).
% 2.72/2.90 fof(c16,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)],[c15])).
% 2.72/2.90 fof(c18,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(c17,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)],[c16])).])).
% 2.72/2.90 cnf(c19,plain,~incident_point_and_line(X114,X113)|~apart_point_and_line(X114,X113),inference(split_conjunct,[status(thm)],[c18])).
% 2.72/2.90 cnf(c164,plain,~incident_point_and_line(skolem0003,line_connecting(skolem0001,skolem0002)),inference(resolution,[status(thm)],[c19, c5])).
% 2.72/2.90 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 2.72/2.90 fof(c98,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 2.72/2.90 fof(c99,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c98])).
% 2.72/2.90 cnf(c100,plain,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,[status(thm)],[c99])).
% 2.72/2.90 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 2.72/2.90 fof(c101,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 2.72/2.90 fof(c102,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c101])).
% 2.72/2.90 cnf(c103,plain,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,[status(thm)],[c102])).
% 2.72/2.90 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 2.72/2.90 fof(c153,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 2.72/2.90 fof(c154,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c153])).
% 2.72/2.90 cnf(c155,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c154])).
% 2.72/2.90 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 2.72/2.90 fof(c28,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 2.72/2.90 fof(c29,plain,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c28])).
% 2.72/2.90 fof(c30,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)],[c29])).
% 2.72/2.90 fof(c32,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(c31,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)],[c30])).])).
% 2.72/2.90 cnf(c34,plain,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,[status(thm)],[c32])).
% 2.72/2.90 cnf(c192,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,[status(thm)],[c103, c34])).
% 2.72/2.90 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)).
% 2.72/2.90 fof(c104,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 2.72/2.90 fof(c105,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c104])).
% 2.72/2.90 fof(c107,plain,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,[status(thm)],[fof(c106,plain,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,[status(thm)],[c105])).])).
% 2.72/2.90 cnf(c108,plain,~convergent_lines(X325,X326)|distinct_lines(X326,X327)|convergent_lines(X325,X327),inference(split_conjunct,[status(thm)],[c107])).
% 2.72/2.90 cnf(c325,plain,distinct_lines(X776,X774)|convergent_lines(X775,X774)|equal_lines(X775,X776),inference(resolution,[status(thm)],[c108, c192])).
% 2.72/2.90 cnf(c796,plain,distinct_lines(X780,X779)|equal_lines(X779,X780),inference(resolution,[status(thm)],[c325, c155])).
% 2.72/2.90 cnf(c815,plain,equal_lines(X791,X790)|convergent_lines(X790,X791),inference(resolution,[status(thm)],[c796, c103])).
% 2.72/2.90 cnf(c862,plain,equal_lines(X801,parallel_through_point(X801,X802)),inference(resolution,[status(thm)],[c815, c100])).
% 2.72/2.90 cnf(c33,plain,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,[status(thm)],[c32])).
% 2.72/2.90 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)).
% 2.72/2.90 fof(c95,plain,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,[status(thm)],[cp2])).
% 2.72/2.90 fof(c96,plain,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,[status(thm)],[c95])).
% 2.72/2.90 cnf(c97,plain,~apart_point_and_line(X103,parallel_through_point(X104,X103)),inference(split_conjunct,[status(thm)],[c96])).
% 2.72/2.90 cnf(c20,plain,apart_point_and_line(X116,X115)|incident_point_and_line(X116,X115),inference(split_conjunct,[status(thm)],[c18])).
% 2.72/2.90 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)).
% 2.72/2.90 fof(c109,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])).
% 2.72/2.90 fof(c110,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)],[c109])).
% 2.72/2.90 fof(c112,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(c111,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)],[c110])).])).
% 2.72/2.90 cnf(c113,plain,~apart_point_and_line(X340,X339)|distinct_lines(X339,X338)|apart_point_and_line(X340,X338),inference(split_conjunct,[status(thm)],[c112])).
% 2.72/2.90 cnf(c332,plain,distinct_lines(X1728,X1726)|apart_point_and_line(X1727,X1726)|incident_point_and_line(X1727,X1728),inference(resolution,[status(thm)],[c113, c20])).
% 2.72/2.90 cnf(c2770,plain,distinct_lines(X2757,parallel_through_point(X2756,X2755))|incident_point_and_line(X2755,X2757),inference(resolution,[status(thm)],[c332, c97])).
% 2.72/2.90 cnf(c5873,plain,incident_point_and_line(X3773,X3771)|~equal_lines(X3771,parallel_through_point(X3772,X3773)),inference(resolution,[status(thm)],[c2770, c33])).
% 2.72/2.90 cnf(c8942,plain,incident_point_and_line(X3775,X3774),inference(resolution,[status(thm)],[c5873, c862])).
% 2.72/2.90 cnf(c8961,plain,$false,inference(resolution,[status(thm)],[c8942, c164])).
% 2.72/2.90 % SZS output end CNFRefutation
% 2.72/2.90
% 2.72/2.90 % Initial clauses : 49
% 2.72/2.90 % Processed clauses : 440
% 2.72/2.90 % Factors computed : 52
% 2.72/2.90 % Resolvents computed: 8748
% 2.72/2.90 % Tautologies deleted: 12
% 2.72/2.90 % Forward subsumed : 1000
% 2.72/2.90 % Backward subsumed : 62
% 2.72/2.90 % -------- CPU Time ---------
% 2.72/2.90 % User time : 2.500 s
% 2.72/2.90 % System time : 0.039 s
% 2.72/2.90 % Total time : 2.539 s
%------------------------------------------------------------------------------