%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %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  : 300s
% DateTime : Wed May 31 12:08:26 EDT 2023

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  24   ~;  15   |;  11   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (;  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ( unequally_directed_lines(L,M)
        | unequally_directed_lines(L,reverse_line(M)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [L,M] :
      ( ( line(L)
        & line(M) )
     => ~ ( ~ unequally_directed_lines(L,M)
          & ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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,M] :
      ( line(L)
      & line(M)
      & ~ unequally_directed_lines(L,M)
      & ~ unequally_directed_lines(L,reverse_line(M)) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ( line(sk0_0)
    & line(sk0_1)
    & ~ unequally_directed_lines(sk0_0,sk0_1)
    & ~ unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
    inference(skolemization,[status(esa)],[f130]) ).

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

fof(f133,plain,
    line(sk0_1),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f134,plain,
    ~ unequally_directed_lines(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f135,plain,
    ~ unequally_directed_lines(sk0_0,reverse_line(sk0_1)),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ line(X0)
      | unequally_directed_lines(X0,sk0_1)
      | unequally_directed_lines(X0,reverse_line(sk0_1)) ),
    inference(resolution,[status(thm)],[f89,f133]) ).

fof(f163,plain,
    ( spl0_2
  <=> unequally_directed_lines(sk0_0,sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f164,plain,
    ( unequally_directed_lines(sk0_0,sk0_1)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f163]) ).

fof(f166,plain,
    ( spl0_3
  <=> unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
    introduced(split_symbol_definition) ).

fof(f167,plain,
    ( unequally_directed_lines(sk0_0,reverse_line(sk0_1))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f166]) ).

fof(f169,plain,
    ( unequally_directed_lines(sk0_0,sk0_1)
    | unequally_directed_lines(sk0_0,reverse_line(sk0_1)) ),
    inference(resolution,[status(thm)],[f152,f132]) ).

fof(f170,plain,
    ( spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f169,f163,f166]) ).

fof(f171,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f164,f134]) ).

fof(f172,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f171]) ).

fof(f175,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f167,f135]) ).

fof(f176,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f175]) ).

fof(f177,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f170,f172,f176]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n005.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 12:02:21 EDT 2023
% 0.13/0.34  % 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
% 0.21/0.59  % Elapsed time: 0.017140 seconds
% 0.21/0.59  % CPU time: 0.020731 seconds
% 0.21/0.59  % Memory used: 618.280 KB
%------------------------------------------------------------------------------