TSTP Solution File: GEO219+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 05:59:27 EDT 2022
% Result : Theorem 0.67s 0.86s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n021.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 18 10:01:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.86 # Version: 1.3
% 0.67/0.86 # SZS status Theorem
% 0.67/0.86 # SZS output start CNFRefutation
% 0.67/0.86 fof(con,conjecture,(![L]:(![M]:(![N]:((orthogonal_lines(L,M)¶llel_lines(L,N))=>orthogonal_lines(M,N))))),input).
% 0.67/0.86 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:((orthogonal_lines(L,M)¶llel_lines(L,N))=>orthogonal_lines(M,N)))))),inference(assume_negation,status(cth),[con])).
% 0.67/0.86 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:((orthogonal_lines(L,M)¶llel_lines(L,N))&~orthogonal_lines(M,N))))),inference(fof_nnf,status(thm),[c0])).
% 0.67/0.86 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((orthogonal_lines(X2,X3)¶llel_lines(X2,X4))&~orthogonal_lines(X3,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.67/0.86 fof(c3,negated_conjecture,((orthogonal_lines(skolem0001,skolem0002)¶llel_lines(skolem0001,skolem0003))&~orthogonal_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.67/0.86 cnf(c5,negated_conjecture,parallel_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.67/0.86 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 0.67/0.86 fof(c21,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 0.67/0.86 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])).
% 0.67/0.86 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])).
% 0.67/0.86 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])).])).
% 0.67/0.86 cnf(c26,axiom,~parallel_lines(X117,X118)|~convergent_lines(X117,X118),inference(split_conjunct,status(thm),[c25])).
% 0.67/0.86 cnf(c4,negated_conjecture,orthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.67/0.86 fof(a5,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>(~unorthogonal_lines(X,Y))))),input).
% 0.67/0.86 fof(c7,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>~unorthogonal_lines(X,Y)))),inference(fof_simplification,status(thm),[a5])).
% 0.67/0.86 fof(c8,axiom,(![X]:(![Y]:((~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))&(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(fof_nnf,status(thm),[c7])).
% 0.67/0.86 fof(c9,axiom,((![X]:(![Y]:(~orthogonal_lines(X,Y)|~unorthogonal_lines(X,Y))))&(![X]:(![Y]:(unorthogonal_lines(X,Y)|orthogonal_lines(X,Y))))),inference(shift_quantors,status(thm),[c8])).
% 0.67/0.86 fof(c11,axiom,(![X5]:(![X6]:(![X7]:(![X8]:((~orthogonal_lines(X5,X6)|~unorthogonal_lines(X5,X6))&(unorthogonal_lines(X7,X8)|orthogonal_lines(X7,X8))))))),inference(shift_quantors,status(thm),[fof(c10,axiom,((![X5]:(![X6]:(~orthogonal_lines(X5,X6)|~unorthogonal_lines(X5,X6))))&(![X7]:(![X8]:(unorthogonal_lines(X7,X8)|orthogonal_lines(X7,X8))))),inference(variable_rename,status(thm),[c9])).])).
% 0.67/0.86 cnf(c12,axiom,~orthogonal_lines(X107,X108)|~unorthogonal_lines(X107,X108),inference(split_conjunct,status(thm),[c11])).
% 0.67/0.86 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.67/0.86 fof(c101,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.67/0.86 fof(c102,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c101])).
% 0.67/0.86 cnf(c103,axiom,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,status(thm),[c102])).
% 0.67/0.86 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),input).
% 0.67/0.86 fof(c66,axiom,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,status(thm),[coipo1])).
% 0.67/0.86 fof(c67,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,status(thm),[c66])).
% 0.67/0.86 fof(c68,axiom,(![X39]:(![X40]:(convergent_lines(X39,X40)|unorthogonal_lines(X39,X40)))),inference(variable_rename,status(thm),[c67])).
% 0.67/0.86 cnf(c69,axiom,convergent_lines(X140,X141)|unorthogonal_lines(X140,X141),inference(split_conjunct,status(thm),[c68])).
% 0.67/0.86 cnf(c179,plain,convergent_lines(X186,X185)|~orthogonal_lines(X186,X185),inference(resolution,status(thm),[c69, c12])).
% 0.67/0.86 cnf(c203,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c179, c4])).
% 0.67/0.86 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 0.67/0.86 fof(c104,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 0.67/0.86 fof(c105,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c104])).
% 0.67/0.86 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])).])).
% 0.67/0.86 cnf(c108,axiom,~convergent_lines(X302,X300)|distinct_lines(X300,X301)|convergent_lines(X302,X301),inference(split_conjunct,status(thm),[c107])).
% 0.67/0.86 cnf(c359,plain,distinct_lines(skolem0002,X303)|convergent_lines(skolem0001,X303),inference(resolution,status(thm),[c108, c203])).
% 0.67/0.86 cnf(c370,plain,distinct_lines(skolem0002,X312)|~parallel_lines(skolem0001,X312),inference(resolution,status(thm),[c359, c26])).
% 0.67/0.86 cnf(c402,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c370, c5])).
% 0.67/0.86 cnf(c408,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c402, c103])).
% 0.67/0.86 cnf(c6,negated_conjecture,~orthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.67/0.86 cnf(c13,axiom,unorthogonal_lines(X109,X110)|orthogonal_lines(X109,X110),inference(split_conjunct,status(thm),[c11])).
% 0.67/0.86 cnf(c164,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c13, c6])).
% 0.67/0.86 fof(cotno1,axiom,(![L]:(![M]:(![N]:((((~convergent_lines(L,M))|(~unorthogonal_lines(L,M)))&((~convergent_lines(L,N))|(~unorthogonal_lines(L,N))))=>((~convergent_lines(M,N))|(~unorthogonal_lines(M,N))))))),input).
% 0.67/0.86 fof(c58,axiom,(![L]:(![M]:(![N]:(((~convergent_lines(L,M)|~unorthogonal_lines(L,M))&(~convergent_lines(L,N)|~unorthogonal_lines(L,N)))=>(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_simplification,status(thm),[cotno1])).
% 0.67/0.86 fof(c59,axiom,(![L]:(![M]:(![N]:(((convergent_lines(L,M)&unorthogonal_lines(L,M))|(convergent_lines(L,N)&unorthogonal_lines(L,N)))|(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_nnf,status(thm),[c58])).
% 0.67/0.86 fof(c60,axiom,(![X36]:(![X37]:(![X38]:(((convergent_lines(X36,X37)&unorthogonal_lines(X36,X37))|(convergent_lines(X36,X38)&unorthogonal_lines(X36,X38)))|(~convergent_lines(X37,X38)|~unorthogonal_lines(X37,X38)))))),inference(variable_rename,status(thm),[c59])).
% 0.67/0.86 fof(c61,axiom,(![X36]:(![X37]:(![X38]:((((convergent_lines(X36,X37)|convergent_lines(X36,X38))|(~convergent_lines(X37,X38)|~unorthogonal_lines(X37,X38)))&((convergent_lines(X36,X37)|unorthogonal_lines(X36,X38))|(~convergent_lines(X37,X38)|~unorthogonal_lines(X37,X38))))&(((unorthogonal_lines(X36,X37)|convergent_lines(X36,X38))|(~convergent_lines(X37,X38)|~unorthogonal_lines(X37,X38)))&((unorthogonal_lines(X36,X37)|unorthogonal_lines(X36,X38))|(~convergent_lines(X37,X38)|~unorthogonal_lines(X37,X38)))))))),inference(distribute,status(thm),[c60])).
% 0.67/0.86 cnf(c64,axiom,unorthogonal_lines(X209,X210)|convergent_lines(X209,X208)|~convergent_lines(X210,X208)|~unorthogonal_lines(X210,X208),inference(split_conjunct,status(thm),[c61])).
% 0.67/0.86 cnf(c230,plain,unorthogonal_lines(X446,skolem0002)|convergent_lines(X446,skolem0003)|~convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c64, c164])).
% 0.67/0.86 cnf(c813,plain,unorthogonal_lines(X493,skolem0002)|convergent_lines(X493,skolem0003),inference(resolution,status(thm),[c230, c408])).
% 0.67/0.86 cnf(c931,plain,convergent_lines(X513,skolem0003)|~orthogonal_lines(X513,skolem0002),inference(resolution,status(thm),[c813, c12])).
% 0.67/0.86 cnf(c1044,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c931, c4])).
% 0.67/0.86 cnf(c1052,plain,~parallel_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c1044, c26])).
% 0.67/0.86 cnf(c1064,plain,$false,inference(resolution,status(thm),[c1052, c5])).
% 0.67/0.86 # SZS output end CNFRefutation
% 0.67/0.86
% 0.67/0.86 # Initial clauses : 49
% 0.67/0.86 # Processed clauses : 190
% 0.67/0.86 # Factors computed : 5
% 0.67/0.86 # Resolvents computed: 899
% 0.67/0.86 # Tautologies deleted: 8
% 0.67/0.86 # Forward subsumed : 158
% 0.67/0.86 # Backward subsumed : 4
% 0.67/0.86 # -------- CPU Time ---------
% 0.67/0.86 # User time : 0.500 s
% 0.67/0.86 # System time : 0.013 s
% 0.67/0.86 # Total time : 0.513 s
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