TSTP Solution File: GEO214+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 05:59:23 EDT 2022
% Result : Theorem 0.46s 0.66s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 18:17:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.66 # Version: 1.3
% 0.46/0.66 # SZS status Theorem
% 0.46/0.66 # SZS output start CNFRefutation
% 0.46/0.66 fof(con,conjecture,(![L]:(![M]:(unorthogonal_lines(L,M)=>unorthogonal_lines(M,L)))),input).
% 0.46/0.66 fof(c0,negated_conjecture,(~(![L]:(![M]:(unorthogonal_lines(L,M)=>unorthogonal_lines(M,L))))),inference(assume_negation,status(cth),[con])).
% 0.46/0.66 fof(c1,negated_conjecture,(?[L]:(?[M]:(unorthogonal_lines(L,M)&~unorthogonal_lines(M,L)))),inference(fof_nnf,status(thm),[c0])).
% 0.46/0.66 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(unorthogonal_lines(X2,X3)&~unorthogonal_lines(X3,X2)))),inference(variable_rename,status(thm),[c1])).
% 0.46/0.66 fof(c3,negated_conjecture,(unorthogonal_lines(skolem0001,skolem0002)&~unorthogonal_lines(skolem0002,skolem0001)),inference(skolemize,status(esa),[c2])).
% 0.46/0.66 cnf(c5,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.46/0.66 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.46/0.66 fof(c82,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.46/0.66 fof(c83,axiom,(![X51]:~convergent_lines(X51,X51)),inference(variable_rename,status(thm),[c82])).
% 0.46/0.66 cnf(c84,axiom,~convergent_lines(X54,X54),inference(split_conjunct,status(thm),[c83])).
% 0.46/0.66 fof(occu1,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),input).
% 0.46/0.66 fof(c26,axiom,(![X15]:(![X16]:(convergent_lines(X15,X16)|unorthogonal_lines(X15,X16)))),inference(variable_rename,status(thm),[occu1])).
% 0.46/0.66 cnf(c27,axiom,convergent_lines(X70,X69)|unorthogonal_lines(X70,X69),inference(split_conjunct,status(thm),[c26])).
% 0.46/0.66 cnf(c93,plain,convergent_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c27, c5])).
% 0.46/0.66 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.46/0.66 fof(c67,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart6])).
% 0.46/0.66 fof(c68,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c67])).
% 0.46/0.66 fof(c70,axiom,(![X42]:(![X43]:(![X44]:(~convergent_lines(X42,X43)|(convergent_lines(X42,X44)|convergent_lines(X43,X44)))))),inference(shift_quantors,status(thm),[fof(c69,axiom,(![X42]:(![X43]:(~convergent_lines(X42,X43)|(![X44]:(convergent_lines(X42,X44)|convergent_lines(X43,X44)))))),inference(variable_rename,status(thm),[c68])).])).
% 0.46/0.66 cnf(c71,axiom,~convergent_lines(X103,X102)|convergent_lines(X103,X104)|convergent_lines(X102,X104),inference(split_conjunct,status(thm),[c70])).
% 0.46/0.66 cnf(c120,plain,convergent_lines(skolem0002,X110)|convergent_lines(skolem0001,X110),inference(resolution,status(thm),[c71, c93])).
% 0.46/0.66 cnf(c128,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c120, c84])).
% 0.46/0.66 cnf(c4,negated_conjecture,unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c3])).
% 0.46/0.66 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).
% 0.46/0.66 fof(c17,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])).
% 0.46/0.66 fof(c18,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),[c17])).
% 0.46/0.66 fof(c20,axiom,(![X12]:(![X13]:(![X14]:((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|((convergent_lines(X12,X14)&unorthogonal_lines(X12,X14))|(convergent_lines(X13,X14)&unorthogonal_lines(X13,X14))))))),inference(shift_quantors,status(thm),[fof(c19,axiom,(![X12]:(![X13]:((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|(![X14]:((convergent_lines(X12,X14)&unorthogonal_lines(X12,X14))|(convergent_lines(X13,X14)&unorthogonal_lines(X13,X14))))))),inference(variable_rename,status(thm),[c18])).])).
% 0.46/0.66 fof(c21,axiom,(![X12]:(![X13]:(![X14]:((((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|(convergent_lines(X12,X14)|convergent_lines(X13,X14)))&((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|(convergent_lines(X12,X14)|unorthogonal_lines(X13,X14))))&(((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|(unorthogonal_lines(X12,X14)|convergent_lines(X13,X14)))&((~convergent_lines(X12,X13)|~unorthogonal_lines(X12,X13))|(unorthogonal_lines(X12,X14)|unorthogonal_lines(X13,X14)))))))),inference(distribute,status(thm),[c20])).
% 0.46/0.66 cnf(c23,axiom,~convergent_lines(X82,X81)|~unorthogonal_lines(X82,X81)|convergent_lines(X82,X83)|unorthogonal_lines(X81,X83),inference(split_conjunct,status(thm),[c21])).
% 0.46/0.66 cnf(c102,plain,~convergent_lines(skolem0001,skolem0002)|convergent_lines(skolem0001,X228)|unorthogonal_lines(skolem0002,X228),inference(resolution,status(thm),[c23, c4])).
% 0.46/0.66 cnf(c265,plain,convergent_lines(skolem0001,X234)|unorthogonal_lines(skolem0002,X234),inference(resolution,status(thm),[c102, c128])).
% 0.46/0.66 cnf(c276,plain,unorthogonal_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c265, c84])).
% 0.46/0.66 cnf(c283,plain,$false,inference(resolution,status(thm),[c276, c5])).
% 0.46/0.66 # SZS output end CNFRefutation
% 0.46/0.66
% 0.46/0.66 # Initial clauses : 27
% 0.46/0.66 # Processed clauses : 57
% 0.46/0.66 # Factors computed : 1
% 0.46/0.66 # Resolvents computed: 195
% 0.46/0.66 # Tautologies deleted: 1
% 0.46/0.66 # Forward subsumed : 42
% 0.46/0.66 # Backward subsumed : 2
% 0.46/0.66 # -------- CPU Time ---------
% 0.46/0.66 # User time : 0.298 s
% 0.46/0.66 # System time : 0.016 s
% 0.46/0.66 # Total time : 0.314 s
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