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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 17:21:29 EDT 2024

% Result   : Theorem 0.74s 0.91s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n008.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 08:30:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.74/0.91  % Version:  1.5
% 0.74/0.91  % SZS status Theorem
% 0.74/0.91  % SZS output start CNFRefutation
% 0.74/0.91  fof(con,conjecture,(![X]:(![Y]:(![Z]:((incident_point_and_line(X,Y)&parallel_lines(Y,Z))=>equal_lines(Y,parallel_through_point(Z,X)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.74/0.91  fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((incident_point_and_line(X,Y)&parallel_lines(Y,Z))=>equal_lines(Y,parallel_through_point(Z,X))))))),inference(assume_negation,[status(cth)],[con])).
% 0.74/0.91  fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((incident_point_and_line(X,Y)&parallel_lines(Y,Z))&~equal_lines(Y,parallel_through_point(Z,X)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.74/0.91  fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((incident_point_and_line(X2,X3)&parallel_lines(X3,X4))&~equal_lines(X3,parallel_through_point(X4,X2)))))),inference(variable_rename,[status(thm)],[c1])).
% 0.74/0.91  fof(c3,negated_conjecture,((incident_point_and_line(skolem0001,skolem0002)&parallel_lines(skolem0002,skolem0003))&~equal_lines(skolem0002,parallel_through_point(skolem0003,skolem0001))),inference(skolemize,[status(esa)],[c2])).
% 0.74/0.91  cnf(c5,negated_conjecture,parallel_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.74/0.91  fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.74/0.91  fof(c21,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 0.74/0.91  fof(c22,plain,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c21])).
% 0.74/0.91  fof(c23,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)],[c22])).
% 0.74/0.91  fof(c25,plain,(![X13]:(![X14]:(![X15]:(![X16]:((~parallel_lines(X13,X14)|~convergent_lines(X13,X14))&(convergent_lines(X15,X16)|parallel_lines(X15,X16))))))),inference(shift_quantors,[status(thm)],[fof(c24,plain,((![X13]:(![X14]:(~parallel_lines(X13,X14)|~convergent_lines(X13,X14))))&(![X15]:(![X16]:(convergent_lines(X15,X16)|parallel_lines(X15,X16))))),inference(variable_rename,[status(thm)],[c23])).])).
% 0.74/0.91  cnf(c26,plain,~parallel_lines(X121,X122)|~convergent_lines(X121,X122),inference(split_conjunct,[status(thm)],[c25])).
% 0.74/0.91  fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.74/0.91  fof(c28,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 0.74/0.91  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])).
% 0.74/0.91  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])).
% 0.74/0.91  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])).])).
% 0.74/0.91  cnf(c34,plain,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,[status(thm)],[c32])).
% 0.74/0.91  fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.74/0.91  fof(c101,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 0.74/0.91  fof(c102,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c101])).
% 0.74/0.91  cnf(c103,plain,~distinct_lines(X162,X161)|convergent_lines(X162,X161),inference(split_conjunct,[status(thm)],[c102])).
% 0.74/0.91  cnf(c186,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,[status(thm)],[c103, c34])).
% 0.74/0.91  cnf(c203,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,[status(thm)],[c186, c26])).
% 0.74/0.91  cnf(c216,plain,equal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c203, c5])).
% 0.74/0.91  cnf(c33,plain,~equal_lines(X128,X129)|~distinct_lines(X128,X129),inference(split_conjunct,[status(thm)],[c32])).
% 0.74/0.91  cnf(c6,negated_conjecture,~equal_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(split_conjunct,[status(thm)],[c3])).
% 0.74/0.91  fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.74/0.91  fof(c153,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.74/0.91  fof(c154,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c153])).
% 0.74/0.91  cnf(c155,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c154])).
% 0.74/0.91  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)).
% 0.74/0.91  fof(c104,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 0.74/0.91  fof(c105,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c104])).
% 0.74/0.91  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])).])).
% 0.74/0.91  cnf(c108,plain,~convergent_lines(X321,X323)|distinct_lines(X323,X322)|convergent_lines(X321,X322),inference(split_conjunct,[status(thm)],[c107])).
% 0.74/0.91  cnf(c341,plain,distinct_lines(X768,X767)|convergent_lines(X766,X767)|equal_lines(X766,X768),inference(resolution,[status(thm)],[c108, c186])).
% 0.74/0.91  cnf(c812,plain,distinct_lines(X776,X775)|equal_lines(X775,X776),inference(resolution,[status(thm)],[c341, c155])).
% 0.74/0.91  cnf(c847,plain,distinct_lines(parallel_through_point(skolem0003,skolem0001),skolem0002),inference(resolution,[status(thm)],[c812, c6])).
% 0.74/0.91  cnf(c1190,plain,~equal_lines(parallel_through_point(skolem0003,skolem0001),skolem0002),inference(resolution,[status(thm)],[c847, c33])).
% 0.74/0.91  fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.74/0.91  fof(c98,plain,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,[status(thm)],[cp1])).
% 0.74/0.91  fof(c99,plain,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,[status(thm)],[c98])).
% 0.74/0.91  cnf(c100,plain,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,[status(thm)],[c99])).
% 0.74/0.91  cnf(c810,plain,distinct_lines(X1057,X1056)|equal_lines(parallel_through_point(X1056,X1055),X1057),inference(resolution,[status(thm)],[c341, c100])).
% 0.74/0.91  cnf(c1440,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c810, c1190])).
% 0.74/0.91  cnf(c1451,plain,~equal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c1440, c33])).
% 0.74/0.91  cnf(c1469,plain,$false,inference(resolution,[status(thm)],[c1451, c216])).
% 0.74/0.91  % SZS output end CNFRefutation
% 0.74/0.91  
% 0.74/0.91  % Initial clauses    : 49
% 0.74/0.91  % Processed clauses  : 211
% 0.74/0.91  % Factors computed   : 11
% 0.74/0.91  % Resolvents computed: 1307
% 0.74/0.91  % Tautologies deleted: 9
% 0.74/0.91  % Forward subsumed   : 220
% 0.74/0.91  % Backward subsumed  : 1
% 0.74/0.91  % -------- CPU Time ---------
% 0.74/0.91  % User time          : 0.539 s
% 0.74/0.91  % System time        : 0.020 s
% 0.74/0.91  % Total time         : 0.559 s
%------------------------------------------------------------------------------