%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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  : 300s
% DateTime : Wed May 31 12:08:28 EDT 2023

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  17   ~;  15   |;   3   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (;  11   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [L] : ~ unequally_directed_lines(L,L),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ( unequally_directed_lines(L,M)
        | unequally_directed_lines(L,reverse_line(M)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [L] :
      ( line(L)
     => unequally_directed_lines(L,reverse_line(L)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [L] :
        ( line(L)
       => unequally_directed_lines(L,reverse_line(L)) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f78,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f88,plain,
    ! [L,M] :
      ( ~ line(L)
      | ~ line(M)
      | unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ line(X0)
      | ~ line(X1)
      | unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f130,plain,
    ? [L] :
      ( line(L)
      & ~ unequally_directed_lines(L,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ( line(sk0_0)
    & ~ unequally_directed_lines(sk0_0,reverse_line(sk0_0)) ),
    inference(skolemization,[status(esa)],[f130]) ).

fof(f132,plain,
    line(sk0_0),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f133,plain,
    ~ unequally_directed_lines(sk0_0,reverse_line(sk0_0)),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ line(X0)
      | unequally_directed_lines(X0,sk0_0)
      | unequally_directed_lines(X0,reverse_line(sk0_0)) ),
    inference(resolution,[status(thm)],[f89,f132]) ).

fof(f152,plain,
    ( spl0_0
  <=> unequally_directed_lines(sk0_0,sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f153,plain,
    ( unequally_directed_lines(sk0_0,sk0_0)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f152]) ).

fof(f155,plain,
    ( spl0_1
  <=> unequally_directed_lines(sk0_0,reverse_line(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f156,plain,
    ( unequally_directed_lines(sk0_0,reverse_line(sk0_0))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f155]) ).

fof(f158,plain,
    ( unequally_directed_lines(sk0_0,sk0_0)
    | unequally_directed_lines(sk0_0,reverse_line(sk0_0)) ),
    inference(resolution,[status(thm)],[f150,f132]) ).

fof(f159,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f158,f152,f155]) ).

fof(f160,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f153,f78]) ).

fof(f161,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f160]) ).

fof(f162,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f156,f133]) ).

fof(f163,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f162]) ).

fof(f164,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f159,f161,f163]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.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  : 300
% 0.13/0.34  % DateTime : Tue May 30 12:18:13 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.58  % Elapsed time: 0.012366 seconds
% 0.24/0.58  % CPU time: 0.035727 seconds
% 0.24/0.58  % Memory used: 2.347 MB
%------------------------------------------------------------------------------