%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:17:47 EDT 2024

% Result   : Theorem 0.11s 0.30s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   46 (  13   ~;   3   |;  26   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   30 (  20   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    ! [L,A,B,C,D] :
      ( ( distinct_points(A,C)
        & distinct_points(B,C)
        & incident_point_and_line(C,L)
        & left_apart_point(D,L) )
     => ( before_on_line(L,A,B)
       => ( before_on_line(L,A,C)
          | before_on_line(L,C,B) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ~ ! [L,A,B,C,D] :
        ( ( distinct_points(A,C)
          & distinct_points(B,C)
          & incident_point_and_line(C,L)
          & left_apart_point(D,L) )
       => ( before_on_line(L,A,B)
         => ( before_on_line(L,A,C)
            | before_on_line(L,C,B) ) ) ),
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f113,plain,
    ! [A,L] :
      ( ~ left_apart_point(A,L)
      & ~ left_apart_point(A,reverse_line(L)) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f114,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(miniscoping,[status(esa)],[f113]) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f152,plain,
    ? [L,A,B,C,D] :
      ( distinct_points(A,C)
      & distinct_points(B,C)
      & incident_point_and_line(C,L)
      & left_apart_point(D,L)
      & before_on_line(L,A,B)
      & ~ before_on_line(L,A,C)
      & ~ before_on_line(L,C,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f38]) ).

fof(f153,plain,
    ? [L,A,B,C] :
      ( distinct_points(A,C)
      & distinct_points(B,C)
      & incident_point_and_line(C,L)
      & ? [D] : left_apart_point(D,L)
      & before_on_line(L,A,B)
      & ~ before_on_line(L,A,C)
      & ~ before_on_line(L,C,B) ),
    inference(miniscoping,[status(esa)],[f152]) ).

fof(f154,plain,
    ( distinct_points(sk0_1,sk0_3)
    & distinct_points(sk0_2,sk0_3)
    & incident_point_and_line(sk0_3,sk0_0)
    & left_apart_point(sk0_4,sk0_0)
    & before_on_line(sk0_0,sk0_1,sk0_2)
    & ~ before_on_line(sk0_0,sk0_1,sk0_3)
    & ~ before_on_line(sk0_0,sk0_3,sk0_2) ),
    inference(skolemization,[status(esa)],[f153]) ).

fof(f158,plain,
    left_apart_point(sk0_4,sk0_0),
    inference(cnf_transformation,[status(esa)],[f154]) ).

fof(f165,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f158,f115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n008.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Tue Apr 30 01:39:12 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.28  % Drodi V3.6.0
% 0.11/0.30  % Refutation found
% 0.11/0.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.30  % Elapsed time: 0.018254 seconds
% 0.11/0.30  % CPU time: 0.041263 seconds
% 0.11/0.30  % Total memory used: 2.830 MB
% 0.11/0.30  % Net memory used: 2.822 MB
%------------------------------------------------------------------------------