%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO253+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 : Tue Apr 30 20:17:46 EDT 2024

% Result   : Theorem 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   52 (  24   ~;  11   |;  14   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,L] :
      ( apart_point_and_line(A,L)
    <=> ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,conjecture,
    ! [A,B,L] :
      ( ( apart_point_and_line(A,L)
        & ~ apart_point_and_line(B,parallel_through_point(L,A)) )
     => apart_point_and_line(B,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [A,B,L] :
        ( ( apart_point_and_line(A,L)
          & ~ apart_point_and_line(B,parallel_through_point(L,A)) )
       => apart_point_and_line(B,L) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f34,plain,
    ! [A,L] :
      ( ( ~ apart_point_and_line(A,L)
        | left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) )
      & ( apart_point_and_line(A,L)
        | ( ~ left_apart_point(A,L)
          & ~ left_apart_point(A,reverse_line(L)) ) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ( ! [A,L] :
        ( ~ apart_point_and_line(A,L)
        | left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) )
    & ! [A,L] :
        ( apart_point_and_line(A,L)
        | ( ~ left_apart_point(A,L)
          & ~ left_apart_point(A,reverse_line(L)) ) ) ),
    inference(miniscoping,[status(esa)],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | left_apart_point(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f92,plain,
    ! [A,L] :
      ( ~ left_apart_point(A,L)
      & ~ left_apart_point(A,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f93,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(miniscoping,[status(esa)],[f92]) ).

fof(f94,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[status(esa)],[f93]) ).

fof(f130,plain,
    ? [A,B,L] :
      ( apart_point_and_line(A,L)
      & ~ apart_point_and_line(B,parallel_through_point(L,A))
      & ~ apart_point_and_line(B,L) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ? [B,L] :
      ( ? [A] :
          ( apart_point_and_line(A,L)
          & ~ apart_point_and_line(B,parallel_through_point(L,A)) )
      & ~ apart_point_and_line(B,L) ),
    inference(miniscoping,[status(esa)],[f130]) ).

fof(f132,plain,
    ( apart_point_and_line(sk0_2,sk0_1)
    & ~ apart_point_and_line(sk0_0,parallel_through_point(sk0_1,sk0_2))
    & ~ apart_point_and_line(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f131]) ).

fof(f133,plain,
    apart_point_and_line(sk0_2,sk0_1),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | left_apart_point(X0,reverse_line(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f36,f94]) ).

fof(f142,plain,
    ! [X0,X1] : ~ apart_point_and_line(X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f141,f94]) ).

fof(f143,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f133,f142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n005.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 Apr 30 01:25:26 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  % Drodi V3.6.0
% 0.20/0.39  % Refutation found
% 0.20/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.023002 seconds
% 0.20/0.39  % CPU time: 0.052276 seconds
% 0.20/0.39  % Total memory used: 2.748 MB
% 0.20/0.39  % Net memory used: 2.738 MB
%------------------------------------------------------------------------------