%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO241+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:17:43 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  15   ~;   1   |;  15   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  16   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [L,M] :
      ~ ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f96,plain,
    ! [L,M] :
      ( ~ left_convergent_lines(L,M)
      & ~ left_convergent_lines(L,reverse_line(M)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f97,plain,
    ( ! [L,M] : ~ left_convergent_lines(L,M)
    & ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
    inference(miniscoping,[status(esa)],[f96]) ).

fof(f98,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[status(esa)],[f97]) ).

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

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

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

fof(f135,plain,
    left_convergent_lines(sk0_1,line_connecting(sk0_2,sk0_0)),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f142,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f135,f98]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO241+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 01:29:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.021079 seconds
% 0.14/0.38  % CPU time: 0.048399 seconds
% 0.14/0.38  % Total memory used: 2.758 MB
% 0.14/0.38  % Net memory used: 2.748 MB
%------------------------------------------------------------------------------