TSTP Solution File: GEO231+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 05:59:35 EDT 2022

% Result   : Theorem 39.93s 40.18s
% Output   : Refutation 39.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19  % Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.19  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.40  % Computer : n011.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8042.1875MB
% 0.12/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 600
% 0.12/0.40  % DateTime : Sat Jun 18 01:31:37 EDT 2022
% 0.12/0.40  % CPUTime  : 
% 39.93/40.18  # Version:  1.3
% 39.93/40.18  # SZS status Theorem
% 39.93/40.18  # SZS output start CNFRefutation
% 39.93/40.18  fof(oag11,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 39.93/40.18  fof(c61,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[oag11])).
% 39.93/40.18  fof(c62,axiom,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,status(thm),[c61])).
% 39.93/40.18  fof(c64,axiom,(![X39]:(![X40]:(![X41]:(![X42]:(~left_convergent_lines(X39,X40)&~left_convergent_lines(X41,reverse_line(X42))))))),inference(shift_quantors,status(thm),[fof(c63,axiom,((![X39]:(![X40]:~left_convergent_lines(X39,X40)))&(![X41]:(![X42]:~left_convergent_lines(X41,reverse_line(X42))))),inference(variable_rename,status(thm),[c62])).])).
% 39.93/40.18  cnf(c65,axiom,~left_convergent_lines(X95,X94),inference(split_conjunct,status(thm),[c64])).
% 39.93/40.18  fof(con,conjecture,(![L]:(![M]:(![N]:(((~unequally_directed_lines(L,reverse_line(M)))&(~unequally_directed_lines(L,N)))=>(~unequally_directed_lines(M,reverse_line(N))))))),input).
% 39.93/40.18  fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(((~unequally_directed_lines(L,reverse_line(M)))&(~unequally_directed_lines(L,N)))=>(~unequally_directed_lines(M,reverse_line(N)))))))),inference(assume_negation,status(cth),[con])).
% 39.93/40.18  fof(c1,negated_conjecture,(~(![L]:(![M]:(![N]:((~unequally_directed_lines(L,reverse_line(M))&~unequally_directed_lines(L,N))=>~unequally_directed_lines(M,reverse_line(N))))))),inference(fof_simplification,status(thm),[c0])).
% 39.93/40.18  fof(c2,negated_conjecture,(?[L]:(?[M]:(?[N]:((~unequally_directed_lines(L,reverse_line(M))&~unequally_directed_lines(L,N))&unequally_directed_lines(M,reverse_line(N)))))),inference(fof_nnf,status(thm),[c1])).
% 39.93/40.18  fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~unequally_directed_lines(X2,reverse_line(X3))&~unequally_directed_lines(X2,X4))&unequally_directed_lines(X3,reverse_line(X4)))))),inference(variable_rename,status(thm),[c2])).
% 39.93/40.18  fof(c4,negated_conjecture,((~unequally_directed_lines(skolem0001,reverse_line(skolem0002))&~unequally_directed_lines(skolem0001,skolem0003))&unequally_directed_lines(skolem0002,reverse_line(skolem0003))),inference(skolemize,status(esa),[c3])).
% 39.93/40.18  cnf(c7,negated_conjecture,unequally_directed_lines(skolem0002,reverse_line(skolem0003)),inference(split_conjunct,status(thm),[c4])).
% 39.93/40.18  fof(oag9,axiom,(![L]:(![M]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 39.93/40.18  fof(c73,axiom,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[oag9])).
% 39.93/40.18  fof(c74,axiom,(![X47]:(![X48]:((~unequally_directed_lines(X47,X48)|~unequally_directed_lines(X47,reverse_line(X48)))|(left_convergent_lines(X47,X48)|left_convergent_lines(X47,reverse_line(X48)))))),inference(variable_rename,status(thm),[c73])).
% 39.93/40.18  cnf(c75,axiom,~unequally_directed_lines(X218,X217)|~unequally_directed_lines(X218,reverse_line(X217))|left_convergent_lines(X218,X217)|left_convergent_lines(X218,reverse_line(X217)),inference(split_conjunct,status(thm),[c74])).
% 39.93/40.18  cnf(c182,plain,~unequally_directed_lines(skolem0002,skolem0003)|left_convergent_lines(skolem0002,skolem0003)|left_convergent_lines(skolem0002,reverse_line(skolem0003)),inference(resolution,status(thm),[c75, c7])).
% 39.93/40.18  cnf(c6,negated_conjecture,~unequally_directed_lines(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 39.93/40.18  fof(oag6,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),input).
% 39.93/40.18  fof(c88,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(fof_nnf,status(thm),[oag6])).
% 39.93/40.18  fof(c89,axiom,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c88])).
% 39.93/40.18  fof(c91,axiom,(![X54]:(![X55]:(![X56]:(~unequally_directed_lines(X54,X55)|(unequally_directed_lines(X54,X56)|unequally_directed_lines(X55,X56)))))),inference(shift_quantors,status(thm),[fof(c90,axiom,(![X54]:(![X55]:(~unequally_directed_lines(X54,X55)|(![X56]:(unequally_directed_lines(X54,X56)|unequally_directed_lines(X55,X56)))))),inference(variable_rename,status(thm),[c89])).])).
% 39.93/40.18  cnf(c92,axiom,~unequally_directed_lines(X155,X154)|unequally_directed_lines(X155,X156)|unequally_directed_lines(X154,X156),inference(split_conjunct,status(thm),[c91])).
% 39.93/40.18  fof(oag5,axiom,(![L]:(~unequally_directed_lines(L,L))),input).
% 39.93/40.18  fof(c93,axiom,(![L]:~unequally_directed_lines(L,L)),inference(fof_simplification,status(thm),[oag5])).
% 39.93/40.18  fof(c94,axiom,(![X57]:~unequally_directed_lines(X57,X57)),inference(variable_rename,status(thm),[c93])).
% 39.93/40.18  cnf(c95,axiom,~unequally_directed_lines(X98,X98),inference(split_conjunct,status(thm),[c94])).
% 39.93/40.18  cnf(c163,plain,unequally_directed_lines(skolem0002,X170)|unequally_directed_lines(reverse_line(skolem0003),X170),inference(resolution,status(thm),[c92, c7])).
% 39.93/40.18  cnf(c166,plain,unequally_directed_lines(reverse_line(skolem0003),skolem0002),inference(resolution,status(thm),[c163, c95])).
% 39.93/40.18  fof(oag7,axiom,(![L]:(![M]:(![N]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),input).
% 39.93/40.18  fof(c79,axiom,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(fof_nnf,status(thm),[oag7])).
% 39.93/40.18  fof(c80,axiom,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(![N]:((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(shift_quantors,status(thm),[c79])).
% 39.93/40.18  fof(c82,axiom,(![X51]:(![X52]:(![X53]:((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|((unequally_directed_lines(X51,X53)&unequally_directed_lines(X51,reverse_line(X53)))|(unequally_directed_lines(X52,X53)&unequally_directed_lines(X52,reverse_line(X53)))))))),inference(shift_quantors,status(thm),[fof(c81,axiom,(![X51]:(![X52]:((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(![X53]:((unequally_directed_lines(X51,X53)&unequally_directed_lines(X51,reverse_line(X53)))|(unequally_directed_lines(X52,X53)&unequally_directed_lines(X52,reverse_line(X53)))))))),inference(variable_rename,status(thm),[c80])).])).
% 39.93/40.18  fof(c83,axiom,(![X51]:(![X52]:(![X53]:((((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,X53)|unequally_directed_lines(X52,X53)))&((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,X53)|unequally_directed_lines(X52,reverse_line(X53)))))&(((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,reverse_line(X53))|unequally_directed_lines(X52,X53)))&((~unequally_directed_lines(X51,X52)|~unequally_directed_lines(X51,reverse_line(X52)))|(unequally_directed_lines(X51,reverse_line(X53))|unequally_directed_lines(X52,reverse_line(X53))))))))),inference(distribute,status(thm),[c82])).
% 39.93/40.18  cnf(c86,axiom,~unequally_directed_lines(X244,X245)|~unequally_directed_lines(X244,reverse_line(X245))|unequally_directed_lines(X244,reverse_line(X246))|unequally_directed_lines(X245,X246),inference(split_conjunct,status(thm),[c83])).
% 39.93/40.18  cnf(c5,negated_conjecture,~unequally_directed_lines(skolem0001,reverse_line(skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 39.93/40.18  cnf(c168,plain,unequally_directed_lines(skolem0002,X259)|unequally_directed_lines(reverse_line(skolem0003),X260)|unequally_directed_lines(X259,X260),inference(resolution,status(thm),[c163, c92])).
% 39.93/40.18  cnf(c293,plain,unequally_directed_lines(skolem0002,skolem0001)|unequally_directed_lines(reverse_line(skolem0003),reverse_line(skolem0002)),inference(resolution,status(thm),[c168, c5])).
% 39.93/40.18  cnf(c614,plain,unequally_directed_lines(skolem0002,skolem0001)|~unequally_directed_lines(reverse_line(skolem0003),skolem0002)|unequally_directed_lines(reverse_line(skolem0003),reverse_line(X2396))|unequally_directed_lines(skolem0002,X2396),inference(resolution,status(thm),[c293, c86])).
% 39.93/40.18  cnf(c67562,plain,unequally_directed_lines(skolem0002,skolem0001)|unequally_directed_lines(reverse_line(skolem0003),reverse_line(X2411))|unequally_directed_lines(skolem0002,X2411),inference(resolution,status(thm),[c614, c166])).
% 39.93/40.18  cnf(c68392,plain,unequally_directed_lines(skolem0002,skolem0001)|unequally_directed_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c67562, c95])).
% 39.93/40.18  cnf(c68558,plain,unequally_directed_lines(skolem0002,skolem0003)|unequally_directed_lines(skolem0002,X2412)|unequally_directed_lines(skolem0001,X2412),inference(resolution,status(thm),[c68392, c92])).
% 39.93/40.18  cnf(c69180,plain,unequally_directed_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c68558, c6])).
% 39.93/40.18  cnf(c69246,plain,left_convergent_lines(skolem0002,skolem0003)|left_convergent_lines(skolem0002,reverse_line(skolem0003)),inference(resolution,status(thm),[c69180, c182])).
% 39.93/40.18  cnf(c71039,plain,left_convergent_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c69246, c65])).
% 39.93/40.18  cnf(c71040,plain,$false,inference(resolution,status(thm),[c71039, c65])).
% 39.93/40.18  # SZS output end CNFRefutation
% 39.93/40.18  
% 39.93/40.18  # Initial clauses    : 61
% 39.93/40.18  # Processed clauses  : 753
% 39.93/40.18  # Factors computed   : 172
% 39.93/40.18  # Resolvents computed: 70706
% 39.93/40.18  # Tautologies deleted: 1
% 39.93/40.18  # Forward subsumed   : 1318
% 39.93/40.18  # Backward subsumed  : 162
% 39.93/40.18  # -------- CPU Time ---------
% 39.93/40.18  # User time          : 39.529 s
% 39.93/40.18  # System time        : 0.241 s
% 39.93/40.18  # Total time         : 39.770 s
%------------------------------------------------------------------------------