TSTP Solution File: GEO219+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 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 05:59:27 EDT 2022
% Result : Theorem 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 13:34:33 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.47/0.63 # Version: 1.3
% 0.47/0.63 # SZS status Theorem
% 0.47/0.63 # SZS output start CNFRefutation
% 0.47/0.63 fof(con,conjecture,(![L]:(![M]:(![N]:(((~unorthogonal_lines(L,M))&(~convergent_lines(L,N)))=>(~unorthogonal_lines(M,N)))))),input).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 fof(c4,negated_conjecture,((~unorthogonal_lines(skolem0001,skolem0002)&~convergent_lines(skolem0001,skolem0003))&unorthogonal_lines(skolem0002,skolem0003)),inference(skolemize,status(esa),[c3])).
% 0.47/0.63 cnf(c6,negated_conjecture,~convergent_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.47/0.63 cnf(c5,negated_conjecture,~unorthogonal_lines(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 0.47/0.63 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),input).
% 0.47/0.63 fof(c20,axiom,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,status(thm),[coipo1])).
% 0.47/0.63 fof(c21,axiom,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,status(thm),[c20])).
% 0.47/0.63 fof(c22,axiom,(![X11]:(![X12]:(convergent_lines(X11,X12)|unorthogonal_lines(X11,X12)))),inference(variable_rename,status(thm),[c21])).
% 0.47/0.63 cnf(c23,axiom,convergent_lines(X49,X50)|unorthogonal_lines(X49,X50),inference(split_conjunct,status(thm),[c22])).
% 0.47/0.63 cnf(c84,plain,convergent_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c23, c5])).
% 0.47/0.63 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),input).
% 0.47/0.63 fof(c58,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,status(thm),[ax6])).
% 0.47/0.63 fof(c59,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,status(thm),[c58])).
% 0.47/0.63 fof(c61,axiom,(![X34]:(![X35]:(![X36]:(~convergent_lines(X34,X35)|(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(shift_quantors,status(thm),[fof(c60,axiom,(![X34]:(![X35]:(~convergent_lines(X34,X35)|(![X36]:(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(variable_rename,status(thm),[c59])).])).
% 0.47/0.63 cnf(c62,axiom,~convergent_lines(X83,X82)|convergent_lines(X83,X84)|convergent_lines(X82,X84),inference(split_conjunct,status(thm),[c61])).
% 0.47/0.63 cnf(c109,plain,convergent_lines(skolem0001,X85)|convergent_lines(skolem0002,X85),inference(resolution,status(thm),[c62, c84])).
% 0.47/0.63 cnf(c112,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c109, c6])).
% 0.47/0.63 cnf(c7,negated_conjecture,unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 0.47/0.63 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).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 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])).
% 0.47/0.63 cnf(c18,axiom,unorthogonal_lines(X86,X87)|convergent_lines(X86,X88)|~convergent_lines(X87,X88)|~unorthogonal_lines(X87,X88),inference(split_conjunct,status(thm),[c15])).
% 0.47/0.63 cnf(c119,plain,unorthogonal_lines(X234,skolem0002)|convergent_lines(X234,skolem0003)|~convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c18, c7])).
% 0.47/0.63 cnf(c716,plain,unorthogonal_lines(X245,skolem0002)|convergent_lines(X245,skolem0003),inference(resolution,status(thm),[c119, c112])).
% 0.47/0.63 cnf(c779,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,status(thm),[c716, c5])).
% 0.47/0.63 cnf(c790,plain,$false,inference(resolution,status(thm),[c779, c6])).
% 0.47/0.63 # SZS output end CNFRefutation
% 0.47/0.63
% 0.47/0.63 # Initial clauses : 23
% 0.47/0.63 # Processed clauses : 88
% 0.47/0.63 # Factors computed : 14
% 0.47/0.63 # Resolvents computed: 696
% 0.47/0.63 # Tautologies deleted: 2
% 0.47/0.63 # Forward subsumed : 106
% 0.47/0.63 # Backward subsumed : 3
% 0.47/0.63 # -------- CPU Time ---------
% 0.47/0.63 # User time : 0.293 s
% 0.47/0.63 # System time : 0.011 s
% 0.47/0.63 # Total time : 0.304 s
%------------------------------------------------------------------------------