%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 17:21:34 EDT 2024
% Result : Theorem 0.72s 0.89s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.32 % Computer : n015.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Thu May 9 08:16:08 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.72/0.89 % Version: 1.5
% 0.72/0.89 % SZS status Theorem
% 0.72/0.89 % SZS output start CNFRefutation
% 0.72/0.89 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.72/0.89 fof(c21,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 0.72/0.89 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])).
% 0.72/0.89 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])).
% 0.72/0.89 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])).])).
% 0.72/0.89 cnf(c26,plain,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,[status(thm)],[c25])).
% 0.72/0.89 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.72/0.89 fof(c28,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 0.72/0.89 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])).
% 0.72/0.89 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])).
% 0.72/0.89 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])).])).
% 0.72/0.89 cnf(c34,plain,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,[status(thm)],[c32])).
% 0.72/0.89 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.72/0.89 fof(c101,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 0.72/0.89 fof(c102,plain,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,[status(thm)],[c101])).
% 0.72/0.89 cnf(c103,plain,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,[status(thm)],[c102])).
% 0.72/0.89 cnf(c191,plain,convergent_lines(X192,X193)|equal_lines(X192,X193),inference(resolution,[status(thm)],[c103, c34])).
% 0.72/0.89 cnf(c216,plain,equal_lines(X207,X206)|~parallel_lines(X207,X206),inference(resolution,[status(thm)],[c191, c26])).
% 0.72/0.89 fof(con,conjecture,(![L]:(![M]:(![N]:((parallel_lines(L,M)¶llel_lines(L,N))=>parallel_lines(M,N))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.72/0.89 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:((parallel_lines(L,M)¶llel_lines(L,N))=>parallel_lines(M,N)))))),inference(assume_negation,[status(cth)],[con])).
% 0.72/0.89 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:((parallel_lines(L,M)¶llel_lines(L,N))&~parallel_lines(M,N))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.72/0.89 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((parallel_lines(X2,X3)¶llel_lines(X2,X4))&~parallel_lines(X3,X4))))),inference(variable_rename,[status(thm)],[c1])).
% 0.72/0.89 fof(c3,negated_conjecture,((parallel_lines(skolem0001,skolem0002)¶llel_lines(skolem0001,skolem0003))&~parallel_lines(skolem0002,skolem0003)),inference(skolemize,[status(esa)],[c2])).
% 0.72/0.89 cnf(c4,negated_conjecture,parallel_lines(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.72/0.89 cnf(c228,plain,equal_lines(skolem0001,skolem0002),inference(resolution,[status(thm)],[c216, c4])).
% 0.72/0.89 cnf(c33,plain,~equal_lines(X128,X129)|~distinct_lines(X128,X129),inference(split_conjunct,[status(thm)],[c32])).
% 0.72/0.89 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.72/0.89 fof(c153,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.72/0.89 fof(c154,plain,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,[status(thm)],[c153])).
% 0.72/0.89 cnf(c155,plain,~convergent_lines(X96,X96),inference(split_conjunct,[status(thm)],[c154])).
% 0.72/0.89 cnf(c27,plain,convergent_lines(X123,X124)|parallel_lines(X123,X124),inference(split_conjunct,[status(thm)],[c25])).
% 0.72/0.89 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)).
% 0.72/0.89 fof(c104,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 0.72/0.89 fof(c105,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c104])).
% 0.72/0.89 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])).])).
% 0.72/0.89 cnf(c108,plain,~convergent_lines(X300,X302)|distinct_lines(X302,X301)|convergent_lines(X300,X301),inference(split_conjunct,[status(thm)],[c107])).
% 0.72/0.89 cnf(c355,plain,distinct_lines(X874,X876)|convergent_lines(X875,X876)|parallel_lines(X875,X874),inference(resolution,[status(thm)],[c108, c27])).
% 0.72/0.89 cnf(c1253,plain,distinct_lines(X879,X880)|parallel_lines(X880,X879),inference(resolution,[status(thm)],[c355, c155])).
% 0.72/0.89 cnf(c1273,plain,parallel_lines(X891,X892)|~equal_lines(X892,X891),inference(resolution,[status(thm)],[c1253, c33])).
% 0.72/0.89 cnf(c1303,plain,parallel_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c1273, c228])).
% 0.72/0.89 cnf(c1317,plain,equal_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c1303, c216])).
% 0.72/0.89 cnf(c6,negated_conjecture,~parallel_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.72/0.89 cnf(c170,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c27, c6])).
% 0.72/0.89 cnf(c356,plain,distinct_lines(skolem0003,X303)|convergent_lines(skolem0002,X303),inference(resolution,[status(thm)],[c108, c170])).
% 0.72/0.89 cnf(c370,plain,distinct_lines(skolem0003,skolem0002),inference(resolution,[status(thm)],[c356, c155])).
% 0.72/0.89 cnf(c371,plain,convergent_lines(skolem0003,skolem0002),inference(resolution,[status(thm)],[c370, c103])).
% 0.72/0.89 cnf(c376,plain,distinct_lines(skolem0002,X317)|convergent_lines(skolem0003,X317),inference(resolution,[status(thm)],[c371, c108])).
% 0.72/0.89 cnf(c417,plain,distinct_lines(skolem0002,X337)|~parallel_lines(skolem0003,X337),inference(resolution,[status(thm)],[c376, c26])).
% 0.72/0.89 cnf(c5,negated_conjecture,parallel_lines(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c3])).
% 0.72/0.89 cnf(c229,plain,equal_lines(skolem0001,skolem0003),inference(resolution,[status(thm)],[c216, c5])).
% 0.72/0.89 cnf(c1297,plain,parallel_lines(skolem0003,skolem0001),inference(resolution,[status(thm)],[c1273, c229])).
% 0.72/0.89 cnf(c1308,plain,distinct_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c1297, c417])).
% 0.72/0.89 cnf(c1319,plain,~equal_lines(skolem0002,skolem0001),inference(resolution,[status(thm)],[c1308, c33])).
% 0.72/0.89 cnf(c1378,plain,$false,inference(resolution,[status(thm)],[c1319, c1317])).
% 0.72/0.89 % SZS output end CNFRefutation
% 0.72/0.89
% 0.72/0.89 % Initial clauses : 49
% 0.72/0.89 % Processed clauses : 212
% 0.72/0.89 % Factors computed : 11
% 0.72/0.89 % Resolvents computed: 1209
% 0.72/0.89 % Tautologies deleted: 10
% 0.72/0.89 % Forward subsumed : 231
% 0.72/0.89 % Backward subsumed : 1
% 0.72/0.89 % -------- CPU Time ---------
% 0.72/0.89 % User time : 0.549 s
% 0.72/0.89 % System time : 0.014 s
% 0.72/0.89 % Total time : 0.563 s
%------------------------------------------------------------------------------