%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 05:25:42 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  19   ~;  14   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   19 (   0 sgn  12   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(oag5,axiom,
    ! [L] : ~ unequally_directed_lines(L,L) ).

fof(oag8,axiom,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ( unequally_directed_lines(L,M)
        | unequally_directed_lines(L,reverse_line(M)) ) ) ).

fof(con,conjecture,
    ! [L] :
      ( line(L)
     => unequally_directed_lines(L,reverse_line(L)) ) ).

fof(subgoal_0,plain,
    ! [L] :
      ( line(L)
     => unequally_directed_lines(L,reverse_line(L)) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [L] :
        ( line(L)
       => unequally_directed_lines(L,reverse_line(L)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [L] :
      ( ~ unequally_directed_lines(L,reverse_line(L))
      & line(L) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L))
    & line(skolemFOFtoCNF_L) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    line(skolemFOFtoCNF_L),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [L,M] :
      ( ~ line(L)
      | ~ line(M)
      | unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    inference(canonicalize,[],[oag8]) ).

fof(normalize_0_4,plain,
    ! [L,M] :
      ( ~ line(L)
      | ~ line(M)
      | unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [L] : ~ unequally_directed_lines(L,L),
    inference(canonicalize,[],[oag5]) ).

fof(normalize_0_6,plain,
    ! [L] : ~ unequally_directed_lines(L,L),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    line(skolemFOFtoCNF_L),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ line(L)
    | ~ line(M)
    | unequally_directed_lines(L,M)
    | unequally_directed_lines(L,reverse_line(M)) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ line(M)
    | unequally_directed_lines(M,M)
    | unequally_directed_lines(M,reverse_line(M)) ),
    inference(subst,[],[refute_0_1:[bind(L,$fot(M))]]) ).

cnf(refute_0_3,plain,
    ~ unequally_directed_lines(L,L),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    ~ unequally_directed_lines(M,M),
    inference(subst,[],[refute_0_3:[bind(L,$fot(M))]]) ).

cnf(refute_0_5,plain,
    ( ~ line(M)
    | unequally_directed_lines(M,reverse_line(M)) ),
    inference(resolve,[$cnf( unequally_directed_lines(M,M) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ line(skolemFOFtoCNF_L)
    | unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)) ),
    inference(subst,[],[refute_0_5:[bind(M,$fot(skolemFOFtoCNF_L))]]) ).

cnf(refute_0_7,plain,
    unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)),
    inference(resolve,[$cnf( line(skolemFOFtoCNF_L) )],[refute_0_0,refute_0_6]) ).

cnf(refute_0_8,plain,
    ~ unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,reverse_line(skolemFOFtoCNF_L)) )],[refute_0_7,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 12:53:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  
% 0.13/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39  
%------------------------------------------------------------------------------