%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO235+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:17:41 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   23 (  10   ~;   1   |;  10   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   22 (  16   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
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] :
      ( ( left_apart_point(A,L)
        & left_apart_point(B,reverse_line(L)) )
     => distinct_points(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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] :
      ( left_apart_point(A,L)
      & left_apart_point(B,reverse_line(L))
      & ~ distinct_points(A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

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

fof(f132,plain,
    ( left_apart_point(sk0_0,sk0_2)
    & left_apart_point(sk0_1,reverse_line(sk0_2))
    & ~ distinct_points(sk0_0,sk0_1) ),
    inference(skolemization,[status(esa)],[f131]) ).

fof(f134,plain,
    left_apart_point(sk0_1,reverse_line(sk0_2)),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f139,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f134,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO235+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n012.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 01:27:56 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 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
% 0.13/0.38  % Elapsed time: 0.017809 seconds
% 0.13/0.38  % CPU time: 0.039556 seconds
% 0.13/0.38  % Total memory used: 2.770 MB
% 0.13/0.38  % Net memory used: 2.760 MB
%------------------------------------------------------------------------------