%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  17   ~;  13   |;   4   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   33 (;  32   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( unequally_directed_opposite_lines(X,Y)
    <=> unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] :
      ( equally_directed_lines(X,Y)
    <=> ~ unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [L] : equally_directed_lines(L,L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [L,M] :
      ( unequally_directed_lines(L,M)
      | unequally_directed_lines(L,reverse_line(M)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [L] : unequally_directed_opposite_lines(L,L),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [L] : unequally_directed_opposite_lines(L,L),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f39,plain,
    ! [X,Y] :
      ( ( ~ unequally_directed_opposite_lines(X,Y)
        | unequally_directed_lines(X,reverse_line(Y)) )
      & ( unequally_directed_opposite_lines(X,Y)
        | ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f40,plain,
    ( ! [X,Y] :
        ( ~ unequally_directed_opposite_lines(X,Y)
        | unequally_directed_lines(X,reverse_line(Y)) )
    & ! [X,Y] :
        ( unequally_directed_opposite_lines(X,Y)
        | ~ unequally_directed_lines(X,reverse_line(Y)) ) ),
    inference(miniscoping,[status(esa)],[f39]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( unequally_directed_opposite_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f51,plain,
    ! [X,Y] :
      ( ( ~ equally_directed_lines(X,Y)
        | ~ unequally_directed_lines(X,Y) )
      & ( equally_directed_lines(X,Y)
        | unequally_directed_lines(X,Y) ) ),
    inference(NNF_transformation,[status(esa)],[f4]) ).

fof(f52,plain,
    ( ! [X,Y] :
        ( ~ equally_directed_lines(X,Y)
        | ~ unequally_directed_lines(X,Y) )
    & ! [X,Y] :
        ( equally_directed_lines(X,Y)
        | unequally_directed_lines(X,Y) ) ),
    inference(miniscoping,[status(esa)],[f51]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ equally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f100,plain,
    ! [X0] : equally_directed_lines(X0,X0),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f152,plain,
    ? [L] : ~ unequally_directed_opposite_lines(L,L),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f153,plain,
    ~ unequally_directed_opposite_lines(sk0_0,sk0_0),
    inference(skolemization,[status(esa)],[f152]) ).

fof(f154,plain,
    ~ unequally_directed_opposite_lines(sk0_0,sk0_0),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f170,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(resolution,[status(thm)],[f100,f53]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,X1)
      | unequally_directed_opposite_lines(X0,X1) ),
    inference(resolution,[status(thm)],[f110,f42]) ).

fof(f180,plain,
    ! [X0] : unequally_directed_opposite_lines(X0,X0),
    inference(resolution,[status(thm)],[f175,f170]) ).

fof(f181,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f154,f180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 12:07:10 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.60  % Elapsed time: 0.019177 seconds
% 0.20/0.60  % CPU time: 0.022719 seconds
% 0.20/0.60  % Memory used: 633.988 KB
%------------------------------------------------------------------------------