TSTP Solution File: GEO213+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : 600s
% DateTime : Sat Jul 16 05:59:22 EDT 2022
% Result : Theorem 0.72s 0.88s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % 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 : 600
% 0.13/0.34 % DateTime : Sat Jun 18 13:56:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/0.88 # Version: 1.3
% 0.72/0.88 # SZS status Theorem
% 0.72/0.88 # SZS output start CNFRefutation
% 0.72/0.88 fof(con,conjecture,(![L]:(![M]:(![N]:(unorthogonal_lines(L,M)=>(distinct_lines(L,N)|unorthogonal_lines(M,N)))))),input).
% 0.72/0.88 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(unorthogonal_lines(L,M)=>(distinct_lines(L,N)|unorthogonal_lines(M,N))))))),inference(assume_negation,status(cth),[con])).
% 0.72/0.88 fof(c1,negated_conjecture,(?[L]:(?[M]:(?[N]:(unorthogonal_lines(L,M)&(~distinct_lines(L,N)&~unorthogonal_lines(M,N)))))),inference(fof_nnf,status(thm),[c0])).
% 0.72/0.88 fof(c2,negated_conjecture,(?[L]:(?[M]:(unorthogonal_lines(L,M)&(?[N]:(~distinct_lines(L,N)&~unorthogonal_lines(M,N)))))),inference(shift_quantors,status(thm),[c1])).
% 0.72/0.88 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(unorthogonal_lines(X2,X3)&(?[X4]:(~distinct_lines(X2,X4)&~unorthogonal_lines(X3,X4)))))),inference(variable_rename,status(thm),[c2])).
% 0.72/0.88 fof(c4,negated_conjecture,(unorthogonal_lines(skolem0001,skolem0002)&(~distinct_lines(skolem0001,skolem0003)&~unorthogonal_lines(skolem0002,skolem0003))),inference(skolemize,status(esa),[c3])).
% 0.72/0.88 cnf(c6,negated_conjecture,~distinct_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.72/0.88 fof(ceq3,axiom,(![X]:(![Y]:(convergent_lines(X,Y)=>distinct_lines(X,Y)))),input).
% 0.72/0.88 fof(c39,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|distinct_lines(X,Y)))),inference(fof_nnf,status(thm),[ceq3])).
% 0.72/0.88 fof(c40,axiom,(![X25]:(![X26]:(~convergent_lines(X25,X26)|distinct_lines(X25,X26)))),inference(variable_rename,status(thm),[c39])).
% 0.72/0.88 cnf(c41,axiom,~convergent_lines(X77,X78)|distinct_lines(X77,X78),inference(split_conjunct,status(thm),[c40])).
% 0.72/0.88 cnf(c7,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.72/0.88 cnf(c5,negated_conjecture,unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.72/0.88 fof(oac1,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).
% 0.72/0.88 fof(c19,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),[oac1])).
% 0.72/0.88 fof(c20,axiom,(![L]:(![M]:((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]:((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))))),inference(shift_quantors,status(thm),[c19])).
% 0.72/0.88 fof(c22,axiom,(![X13]:(![X14]:(![X15]:((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|((convergent_lines(X13,X15)&unorthogonal_lines(X13,X15))|(convergent_lines(X14,X15)&unorthogonal_lines(X14,X15))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,(![X13]:(![X14]:((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(![X15]:((convergent_lines(X13,X15)&unorthogonal_lines(X13,X15))|(convergent_lines(X14,X15)&unorthogonal_lines(X14,X15))))))),inference(variable_rename,status(thm),[c20])).])).
% 0.72/0.88 fof(c23,axiom,(![X13]:(![X14]:(![X15]:((((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(convergent_lines(X13,X15)|convergent_lines(X14,X15)))&((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(convergent_lines(X13,X15)|unorthogonal_lines(X14,X15))))&(((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(unorthogonal_lines(X13,X15)|convergent_lines(X14,X15)))&((~convergent_lines(X13,X14)|~unorthogonal_lines(X13,X14))|(unorthogonal_lines(X13,X15)|unorthogonal_lines(X14,X15)))))))),inference(distribute,status(thm),[c22])).
% 0.72/0.88 cnf(c25,axiom,~convergent_lines(X89,X87)|~unorthogonal_lines(X89,X87)|convergent_lines(X89,X88)|unorthogonal_lines(X87,X88),inference(split_conjunct,status(thm),[c23])).
% 0.72/0.88 cnf(c117,plain,~convergent_lines(skolem0001,skolem0002)|convergent_lines(skolem0001,X327)|unorthogonal_lines(skolem0002,X327),inference(resolution,status(thm),[c25, c5])).
% 0.72/0.88 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.72/0.88 fof(c84,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.72/0.88 fof(c85,axiom,(![X52]:~convergent_lines(X52,X52)),inference(variable_rename,status(thm),[c84])).
% 0.72/0.88 cnf(c86,axiom,~convergent_lines(X55,X55),inference(split_conjunct,status(thm),[c85])).
% 0.72/0.88 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.72/0.88 fof(c69,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart6])).
% 0.72/0.88 fof(c70,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c69])).
% 0.72/0.88 fof(c72,axiom,(![X43]:(![X44]:(![X45]:(~convergent_lines(X43,X44)|(convergent_lines(X43,X45)|convergent_lines(X44,X45)))))),inference(shift_quantors,status(thm),[fof(c71,axiom,(![X43]:(![X44]:(~convergent_lines(X43,X44)|(![X45]:(convergent_lines(X43,X45)|convergent_lines(X44,X45)))))),inference(variable_rename,status(thm),[c70])).])).
% 0.72/0.88 cnf(c73,axiom,~convergent_lines(X104,X103)|convergent_lines(X104,X105)|convergent_lines(X103,X105),inference(split_conjunct,status(thm),[c72])).
% 0.72/0.88 fof(occu1,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),input).
% 0.72/0.88 fof(c28,axiom,(![X16]:(![X17]:(convergent_lines(X16,X17)|unorthogonal_lines(X16,X17)))),inference(variable_rename,status(thm),[occu1])).
% 0.72/0.88 cnf(c29,axiom,convergent_lines(X66,X67)|unorthogonal_lines(X66,X67),inference(split_conjunct,status(thm),[c28])).
% 0.72/0.88 cnf(c95,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c29, c7])).
% 0.72/0.88 cnf(c125,plain,convergent_lines(skolem0002,X106)|convergent_lines(skolem0003,X106),inference(resolution,status(thm),[c73, c95])).
% 0.72/0.88 cnf(c131,plain,convergent_lines(skolem0002,X403)|convergent_lines(skolem0003,X402)|convergent_lines(X403,X402),inference(resolution,status(thm),[c125, c73])).
% 0.72/0.88 cnf(c585,plain,convergent_lines(skolem0002,X416)|convergent_lines(X416,skolem0003),inference(resolution,status(thm),[c131, c86])).
% 0.72/0.88 cnf(c624,plain,convergent_lines(skolem0002,X429)|distinct_lines(X429,skolem0003),inference(resolution,status(thm),[c585, c41])).
% 0.72/0.88 cnf(c689,plain,convergent_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c624, c6])).
% 0.72/0.88 cnf(c696,plain,convergent_lines(skolem0002,X437)|convergent_lines(skolem0001,X437),inference(resolution,status(thm),[c689, c73])).
% 0.72/0.88 cnf(c732,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c696, c86])).
% 0.72/0.88 cnf(c747,plain,convergent_lines(skolem0001,X457)|unorthogonal_lines(skolem0002,X457),inference(resolution,status(thm),[c732, c117])).
% 0.72/0.88 cnf(c875,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c747, c7])).
% 0.72/0.88 cnf(c884,plain,distinct_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c875, c41])).
% 0.72/0.88 cnf(c887,plain,$false,inference(resolution,status(thm),[c884, c6])).
% 0.72/0.88 # SZS output end CNFRefutation
% 0.72/0.88
% 0.72/0.88 # Initial clauses : 28
% 0.72/0.88 # Processed clauses : 118
% 0.72/0.88 # Factors computed : 16
% 0.72/0.88 # Resolvents computed: 783
% 0.72/0.88 # Tautologies deleted: 4
% 0.72/0.88 # Forward subsumed : 146
% 0.72/0.88 # Backward subsumed : 4
% 0.72/0.88 # -------- CPU Time ---------
% 0.72/0.88 # User time : 0.516 s
% 0.72/0.88 # System time : 0.020 s
% 0.72/0.88 # Total time : 0.536 s
%------------------------------------------------------------------------------