TSTP Solution File: GEO218+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 0.89s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.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 : 600
% 0.14/0.36 % DateTime : Sat Jun 18 04:26:19 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.69/0.89 # Version: 1.3
% 0.69/0.89 # SZS status Theorem
% 0.69/0.89 # SZS output start CNFRefutation
% 0.69/0.89 fof(con,conjecture,(![L]:(![M]:(![N]:((parallel_lines(L,M)&orthogonal_lines(L,N))=>orthogonal_lines(M,N))))),input).
% 0.69/0.89 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:((parallel_lines(L,M)&orthogonal_lines(L,N))=>orthogonal_lines(M,N)))))),inference(assume_negation,status(cth),[con])).
% 0.69/0.89 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:((parallel_lines(L,M)&orthogonal_lines(L,N))&~orthogonal_lines(M,N))))),inference(fof_nnf,status(thm),[c0])).
% 0.69/0.89 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((parallel_lines(X2,X3)&orthogonal_lines(X2,X4))&~orthogonal_lines(X3,X4))))),inference(variable_rename,status(thm),[c1])).
% 0.69/0.89 fof(c3,negated_conjecture,((parallel_lines(skolem0001,skolem0002)&orthogonal_lines(skolem0001,skolem0003))&~orthogonal_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c2])).
% 0.69/0.89 cnf(c5,negated_conjecture,orthogonal_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.89 fof(a5,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>(~unorthogonal_lines(X,Y))))),input).
% 0.69/0.89 fof(c7,axiom,(![X]:(![Y]:(orthogonal_lines(X,Y)<=>~unorthogonal_lines(X,Y)))),inference(fof_simplification,status(thm),[a5])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).])).
% 0.69/0.89 cnf(c12,axiom,~orthogonal_lines(X108,X107)|~unorthogonal_lines(X108,X107),inference(split_conjunct,status(thm),[c11])).
% 0.69/0.89 cnf(c4,negated_conjecture,parallel_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.89 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 0.69/0.89 fof(c21,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).])).
% 0.69/0.89 cnf(c26,axiom,~parallel_lines(X118,X117)|~convergent_lines(X118,X117),inference(split_conjunct,status(thm),[c25])).
% 0.69/0.89 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.69/0.89 fof(c101,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.69/0.89 fof(c102,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c101])).
% 0.69/0.89 cnf(c103,axiom,~distinct_lines(X163,X164)|convergent_lines(X163,X164),inference(split_conjunct,status(thm),[c102])).
% 0.69/0.89 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.69/0.89 fof(c153,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.69/0.89 fof(c154,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c153])).
% 0.69/0.89 cnf(c155,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c154])).
% 0.69/0.89 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 0.69/0.89 fof(c104,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 0.69/0.89 fof(c105,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c104])).
% 0.69/0.89 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])).])).
% 0.69/0.89 cnf(c108,axiom,~convergent_lines(X302,X300)|distinct_lines(X300,X301)|convergent_lines(X302,X301),inference(split_conjunct,status(thm),[c107])).
% 0.69/0.89 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),input).
% 0.69/0.89 fof(c66,axiom,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,status(thm),[coipo1])).
% 0.69/0.89 fof(c67,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,status(thm),[c66])).
% 0.69/0.89 fof(c68,axiom,(![X39]:(![X40]:(convergent_lines(X39,X40)|unorthogonal_lines(X39,X40)))),inference(variable_rename,status(thm),[c67])).
% 0.69/0.89 cnf(c69,axiom,convergent_lines(X140,X141)|unorthogonal_lines(X140,X141),inference(split_conjunct,status(thm),[c68])).
% 0.69/0.89 cnf(c180,plain,convergent_lines(X185,X186)|~orthogonal_lines(X185,X186),inference(resolution,status(thm),[c69, c12])).
% 0.69/0.89 cnf(c202,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c180, c5])).
% 0.69/0.89 cnf(c359,plain,distinct_lines(skolem0003,X303)|convergent_lines(skolem0001,X303),inference(resolution,status(thm),[c108, c202])).
% 0.69/0.89 cnf(c367,plain,distinct_lines(skolem0003,X312)|~parallel_lines(skolem0001,X312),inference(resolution,status(thm),[c359, c26])).
% 0.69/0.89 cnf(c403,plain,distinct_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c367, c4])).
% 0.69/0.89 cnf(c410,plain,convergent_lines(skolem0003,skolem0002),inference(resolution,status(thm),[c403, c103])).
% 0.69/0.89 cnf(c414,plain,distinct_lines(skolem0002,X337)|convergent_lines(skolem0003,X337),inference(resolution,status(thm),[c410, c108])).
% 0.69/0.89 cnf(c473,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c414, c155])).
% 0.69/0.89 cnf(c478,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c473, c103])).
% 0.69/0.89 cnf(c6,negated_conjecture,~orthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.69/0.89 cnf(c13,axiom,unorthogonal_lines(X109,X110)|orthogonal_lines(X109,X110),inference(split_conjunct,status(thm),[c11])).
% 0.69/0.89 cnf(c164,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c13, c6])).
% 0.69/0.89 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).
% 0.69/0.89 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])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).
% 0.69/0.89 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])).
% 0.69/0.89 cnf(c63,axiom,convergent_lines(X197,X195)|unorthogonal_lines(X197,X196)|~convergent_lines(X195,X196)|~unorthogonal_lines(X195,X196),inference(split_conjunct,status(thm),[c61])).
% 0.69/0.89 cnf(c224,plain,convergent_lines(X435,skolem0002)|unorthogonal_lines(X435,skolem0003)|~convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c63, c164])).
% 0.69/0.89 cnf(c753,plain,convergent_lines(X476,skolem0002)|unorthogonal_lines(X476,skolem0003),inference(resolution,status(thm),[c224, c478])).
% 0.69/0.89 cnf(c844,plain,unorthogonal_lines(X505,skolem0003)|~parallel_lines(X505,skolem0002),inference(resolution,status(thm),[c753, c26])).
% 0.69/0.89 cnf(c1012,plain,unorthogonal_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c844, c4])).
% 0.69/0.89 cnf(c1018,plain,~orthogonal_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c1012, c12])).
% 0.69/0.89 cnf(c1042,plain,$false,inference(resolution,status(thm),[c1018, c5])).
% 0.69/0.89 # SZS output end CNFRefutation
% 0.69/0.89
% 0.69/0.89 # Initial clauses : 49
% 0.69/0.89 # Processed clauses : 187
% 0.69/0.89 # Factors computed : 5
% 0.69/0.89 # Resolvents computed: 877
% 0.69/0.89 # Tautologies deleted: 8
% 0.69/0.89 # Forward subsumed : 154
% 0.69/0.89 # Backward subsumed : 4
% 0.69/0.89 # -------- CPU Time ---------
% 0.69/0.89 # User time : 0.503 s
% 0.69/0.89 # System time : 0.019 s
% 0.69/0.89 # Total time : 0.522 s
%------------------------------------------------------------------------------