%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 : Wed May 31 12:08:35 EDT 2023

% Result   : Theorem 0.14s 0.36s
% 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       :   44 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   48 (  15   ~;   1   |;  28   &)
%                                         (   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(f15,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f33,negated_conjecture,
    ~ ! [L,A,B,C,D] :
        ( ( distinct_points(A,C)
          & distinct_points(B,C)
          & ~ apart_point_and_line(C,L)
          & left_apart_point(D,L) )
       => ( ( before_on_line(L,A,B)
            & before_on_line(L,B,C) )
         => before_on_line(L,A,C) ) ),
    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,
    ? [L,A,B,C,D] :
      ( distinct_points(A,C)
      & distinct_points(B,C)
      & ~ apart_point_and_line(C,L)
      & left_apart_point(D,L)
      & before_on_line(L,A,B)
      & before_on_line(L,B,C)
      & ~ before_on_line(L,A,C) ),
    inference(pre_NNF_transformation,[status(esa)],[f33]) ).

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

fof(f132,plain,
    ( distinct_points(sk0_1,sk0_3)
    & distinct_points(sk0_2,sk0_3)
    & ~ apart_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_2,sk0_3)
    & ~ before_on_line(sk0_0,sk0_1,sk0_3) ),
    inference(skolemization,[status(esa)],[f131]) ).

fof(f136,plain,
    left_apart_point(sk0_4,sk0_0),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f144,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f136,f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 12:10:12 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.36  % Elapsed time: 0.019845 seconds
% 0.14/0.36  % CPU time: 0.032564 seconds
% 0.14/0.36  % Memory used: 2.389 MB
%------------------------------------------------------------------------------