%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 20:17:45 EDT 2024

% Result   : Theorem 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   1   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  16   !;   3   ?)

% 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(B,reverse_line(parallel_through_point(L,A)))
     => left_apart_point(A,parallel_through_point(L,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ ! [A,B,L] :
        ( left_apart_point(B,reverse_line(parallel_through_point(L,A)))
       => left_apart_point(A,parallel_through_point(L,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(B,reverse_line(parallel_through_point(L,A)))
      & ~ left_apart_point(A,parallel_through_point(L,B)) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

fof(f131,plain,
    ( left_apart_point(sk0_1,reverse_line(parallel_through_point(sk0_2,sk0_0)))
    & ~ left_apart_point(sk0_0,parallel_through_point(sk0_2,sk0_1)) ),
    inference(skolemization,[status(esa)],[f130]) ).

fof(f132,plain,
    left_apart_point(sk0_1,reverse_line(parallel_through_point(sk0_2,sk0_0))),
    inference(cnf_transformation,[status(esa)],[f131]) ).

fof(f137,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f132,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Apr 30 01:09:18 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.10/0.32  % Drodi V3.6.0
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.34  % Elapsed time: 0.016719 seconds
% 0.10/0.34  % CPU time: 0.036245 seconds
% 0.10/0.34  % Total memory used: 2.763 MB
% 0.10/0.34  % Net memory used: 2.749 MB
%------------------------------------------------------------------------------