TSTP Solution File: GEO219+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO219+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 0.49s 0.71s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.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 03:55:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.49/0.71 # Version: 1.3
% 0.49/0.71 # SZS status Theorem
% 0.49/0.71 # SZS output start CNFRefutation
% 0.49/0.71 fof(con,conjecture,(![L]:(![M]:(![N]:(((~unorthogonal_lines(L,M))&(~convergent_lines(L,N)))=>(~unorthogonal_lines(M,N)))))),input).
% 0.49/0.71 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(((~unorthogonal_lines(L,M))&(~convergent_lines(L,N)))=>(~unorthogonal_lines(M,N))))))),inference(assume_negation,status(cth),[con])).
% 0.49/0.71 fof(c1,negated_conjecture,(~(![L]:(![M]:(![N]:((~unorthogonal_lines(L,M)&~convergent_lines(L,N))=>~unorthogonal_lines(M,N)))))),inference(fof_simplification,status(thm),[c0])).
% 0.49/0.71 fof(c2,negated_conjecture,(?[L]:(?[M]:(?[N]:((~unorthogonal_lines(L,M)&~convergent_lines(L,N))&unorthogonal_lines(M,N))))),inference(fof_nnf,status(thm),[c1])).
% 0.49/0.71 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~unorthogonal_lines(X2,X3)&~convergent_lines(X2,X4))&unorthogonal_lines(X3,X4))))),inference(variable_rename,status(thm),[c2])).
% 0.49/0.71 fof(c4,negated_conjecture,((~unorthogonal_lines(skolem0001,skolem0002)&~convergent_lines(skolem0001,skolem0003))&unorthogonal_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c3])).
% 0.49/0.71 cnf(c6,negated_conjecture,~convergent_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.49/0.71 cnf(c5,negated_conjecture,~unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.49/0.71 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),input).
% 0.49/0.71 fof(c20,axiom,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,status(thm),[coipo1])).
% 0.49/0.71 fof(c21,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,status(thm),[c20])).
% 0.49/0.71 fof(c22,axiom,(![X11]:(![X12]:(convergent_lines(X11,X12)|unorthogonal_lines(X11,X12)))),inference(variable_rename,status(thm),[c21])).
% 0.49/0.71 cnf(c23,axiom,convergent_lines(X47,X46)|unorthogonal_lines(X47,X46),inference(split_conjunct,status(thm),[c22])).
% 0.49/0.71 cnf(c80,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c23, c5])).
% 0.49/0.71 fof(apart6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.49/0.71 fof(c54,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[apart6])).
% 0.49/0.71 fof(c55,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c54])).
% 0.49/0.71 fof(c57,axiom,(![X31]:(![X32]:(![X33]:(~convergent_lines(X31,X32)|(convergent_lines(X31,X33)|convergent_lines(X32,X33)))))),inference(shift_quantors,status(thm),[fof(c56,axiom,(![X31]:(![X32]:(~convergent_lines(X31,X32)|(![X33]:(convergent_lines(X31,X33)|convergent_lines(X32,X33)))))),inference(variable_rename,status(thm),[c55])).])).
% 0.49/0.71 cnf(c58,axiom,~convergent_lines(X70,X71)|convergent_lines(X70,X69)|convergent_lines(X71,X69),inference(split_conjunct,status(thm),[c57])).
% 0.49/0.71 cnf(c96,plain,convergent_lines(skolem0001,X75)|convergent_lines(skolem0002,X75),inference(resolution,status(thm),[c58, c80])).
% 0.49/0.71 cnf(c105,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c96, c6])).
% 0.49/0.71 cnf(c7,negated_conjecture,unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.49/0.71 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).
% 0.49/0.71 fof(c12,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])).
% 0.49/0.71 fof(c13,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),[c12])).
% 0.49/0.71 fof(c14,axiom,(![X8]:(![X9]:(![X10]:(((convergent_lines(X8,X9)&unorthogonal_lines(X8,X9))|(convergent_lines(X8,X10)&unorthogonal_lines(X8,X10)))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))))),inference(variable_rename,status(thm),[c13])).
% 0.49/0.71 fof(c15,axiom,(![X8]:(![X9]:(![X10]:((((convergent_lines(X8,X9)|convergent_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))&((convergent_lines(X8,X9)|unorthogonal_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10))))&(((unorthogonal_lines(X8,X9)|convergent_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))&((unorthogonal_lines(X8,X9)|unorthogonal_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))))))),inference(distribute,status(thm),[c14])).
% 0.49/0.71 cnf(c18,axiom,unorthogonal_lines(X77,X76)|convergent_lines(X77,X78)|~convergent_lines(X76,X78)|~unorthogonal_lines(X76,X78),inference(split_conjunct,status(thm),[c15])).
% 0.49/0.71 cnf(c122,plain,unorthogonal_lines(X249,skolem0002)|convergent_lines(X249,skolem0003)|~convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c18, c7])).
% 0.49/0.71 cnf(c671,plain,unorthogonal_lines(X264,skolem0002)|convergent_lines(X264,skolem0003),inference(resolution,status(thm),[c122, c105])).
% 0.49/0.71 cnf(c731,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c671, c5])).
% 0.49/0.71 cnf(c741,plain,$false,inference(resolution,status(thm),[c731, c6])).
% 0.49/0.71 # SZS output end CNFRefutation
% 0.49/0.71
% 0.49/0.71 # Initial clauses : 23
% 0.49/0.71 # Processed clauses : 87
% 0.49/0.71 # Factors computed : 11
% 0.49/0.71 # Resolvents computed: 655
% 0.49/0.71 # Tautologies deleted: 3
% 0.49/0.71 # Forward subsumed : 122
% 0.49/0.71 # Backward subsumed : 3
% 0.49/0.71 # -------- CPU Time ---------
% 0.49/0.71 # User time : 0.356 s
% 0.49/0.71 # System time : 0.016 s
% 0.49/0.71 # Total time : 0.372 s
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