TSTP Solution File: GEO217+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO217+3 : TPTP v8.1.0. 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 : 600s
% DateTime : Sat Jul 16 05:59:26 EDT 2022
% Result : Theorem 0.69s 0.91s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO217+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 08:48:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.69/0.91 # Version: 1.3
% 0.69/0.91 # SZS status Theorem
% 0.69/0.91 # SZS output start CNFRefutation
% 0.69/0.91 fof(con,conjecture,(![L]:(![M]:(![N]:((parallel_lines(L,M)¶llel_lines(L,N))=>parallel_lines(M,N))))),input).
% 0.69/0.91 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])).
% 0.69/0.91 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])).
% 0.69/0.91 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])).
% 0.69/0.91 fof(c3,negated_conjecture,((parallel_lines(skolem0001,skolem0002)¶llel_lines(skolem0001,skolem0003))&~parallel_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.69/0.91 cnf(c5,negated_conjecture,parallel_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.91 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 0.69/0.91 fof(c21,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 0.69/0.91 fof(c22,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c21])).
% 0.69/0.91 fof(c23,axiom,((![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])).
% 0.69/0.91 fof(c25,axiom,(![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,axiom,((![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])).])).
% 0.69/0.91 cnf(c26,axiom,~parallel_lines(X121,X122)|~convergent_lines(X121,X122),inference(split_conjunct,status(thm),[c25])).
% 0.69/0.91 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 0.69/0.91 fof(c28,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 0.69/0.91 fof(c29,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c28])).
% 0.69/0.91 fof(c30,axiom,((![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])).
% 0.69/0.91 fof(c32,axiom,(![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,axiom,((![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])).])).
% 0.69/0.91 cnf(c34,axiom,distinct_lines(X130,X131)|equal_lines(X130,X131),inference(split_conjunct,status(thm),[c32])).
% 0.69/0.91 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.69/0.91 fof(c101,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.69/0.91 fof(c102,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c101])).
% 0.69/0.91 cnf(c103,axiom,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,status(thm),[c102])).
% 0.69/0.91 cnf(c191,plain,convergent_lines(X192,X193)|equal_lines(X192,X193),inference(resolution,status(thm),[c103, c34])).
% 0.69/0.91 cnf(c216,plain,equal_lines(X206,X207)|~parallel_lines(X206,X207),inference(resolution,status(thm),[c191, c26])).
% 0.69/0.91 cnf(c225,plain,equal_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c216, c5])).
% 0.69/0.91 cnf(c33,axiom,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,status(thm),[c32])).
% 0.69/0.91 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.69/0.91 fof(c153,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.69/0.91 fof(c154,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c153])).
% 0.69/0.91 cnf(c155,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c154])).
% 0.69/0.91 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 0.69/0.91 fof(c104,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 0.69/0.91 fof(c105,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c104])).
% 0.69/0.91 fof(c107,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c106,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c105])).])).
% 0.69/0.91 cnf(c108,axiom,~convergent_lines(X300,X302)|distinct_lines(X302,X301)|convergent_lines(X300,X301),inference(split_conjunct,status(thm),[c107])).
% 0.69/0.91 cnf(c356,plain,distinct_lines(X875,X874)|convergent_lines(X873,X874)|equal_lines(X873,X875),inference(resolution,status(thm),[c108, c191])).
% 0.69/0.91 cnf(c1243,plain,distinct_lines(X879,X878)|equal_lines(X878,X879),inference(resolution,status(thm),[c356, c155])).
% 0.69/0.91 cnf(c1267,plain,equal_lines(X891,X890)|~equal_lines(X890,X891),inference(resolution,status(thm),[c1243, c33])).
% 0.69/0.91 cnf(c1292,plain,equal_lines(skolem0003,skolem0001),inference(resolution,status(thm),[c1267, c225])).
% 0.69/0.91 cnf(c6,negated_conjecture,~parallel_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.91 cnf(c27,axiom,convergent_lines(X124,X123)|parallel_lines(X124,X123),inference(split_conjunct,status(thm),[c25])).
% 0.69/0.91 cnf(c170,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c27, c6])).
% 0.69/0.91 cnf(c358,plain,distinct_lines(skolem0003,X303)|convergent_lines(skolem0002,X303),inference(resolution,status(thm),[c108, c170])).
% 0.69/0.91 cnf(c364,plain,distinct_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c358, c155])).
% 0.69/0.91 cnf(c371,plain,convergent_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c364, c103])).
% 0.69/0.91 cnf(c379,plain,distinct_lines(skolem0002,X318)|convergent_lines(skolem0003,X318),inference(resolution,status(thm),[c371, c108])).
% 0.69/0.91 cnf(c412,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c379, c155])).
% 0.69/0.91 fof(apart5,axiom,(![X]:(![Y]:(![Z]:(distinct_lines(X,Y)=>(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),input).
% 0.69/0.91 fof(c143,axiom,(![X]:(![Y]:(![Z]:(~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart5])).
% 0.69/0.91 fof(c144,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|(![Z]:(distinct_lines(X,Z)|distinct_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c143])).
% 0.69/0.91 fof(c146,axiom,(![X87]:(![X88]:(![X89]:(~distinct_lines(X87,X88)|(distinct_lines(X87,X89)|distinct_lines(X88,X89)))))),inference(shift_quantors,status(thm),[fof(c145,axiom,(![X87]:(![X88]:(~distinct_lines(X87,X88)|(![X89]:(distinct_lines(X87,X89)|distinct_lines(X88,X89)))))),inference(variable_rename,status(thm),[c144])).])).
% 0.69/0.91 cnf(c147,axiom,~distinct_lines(X324,X323)|distinct_lines(X324,X322)|distinct_lines(X323,X322),inference(split_conjunct,status(thm),[c146])).
% 0.69/0.91 cnf(c436,plain,distinct_lines(skolem0002,X342)|distinct_lines(skolem0003,X342),inference(resolution,status(thm),[c147, c412])).
% 0.69/0.91 cnf(c451,plain,distinct_lines(skolem0003,X351)|~equal_lines(skolem0002,X351),inference(resolution,status(thm),[c436, c33])).
% 0.69/0.91 cnf(c4,negated_conjecture,parallel_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.91 cnf(c229,plain,equal_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c216, c4])).
% 0.69/0.91 cnf(c1288,plain,equal_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c1267, c229])).
% 0.69/0.91 cnf(c1304,plain,distinct_lines(skolem0003,skolem0001),inference(resolution,status(thm),[c1288, c451])).
% 0.69/0.91 cnf(c1312,plain,~equal_lines(skolem0003,skolem0001),inference(resolution,status(thm),[c1304, c33])).
% 0.69/0.91 cnf(c1347,plain,$false,inference(resolution,status(thm),[c1312, c1292])).
% 0.69/0.91 # SZS output end CNFRefutation
% 0.69/0.91
% 0.69/0.91 # Initial clauses : 49
% 0.69/0.91 # Processed clauses : 209
% 0.69/0.91 # Factors computed : 7
% 0.69/0.91 # Resolvents computed: 1189
% 0.69/0.91 # Tautologies deleted: 9
% 0.69/0.91 # Forward subsumed : 233
% 0.69/0.91 # Backward subsumed : 1
% 0.69/0.91 # -------- CPU Time ---------
% 0.69/0.91 # User time : 0.554 s
% 0.69/0.91 # System time : 0.018 s
% 0.69/0.91 # Total time : 0.572 s
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