%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Sat Jul 16 05:25:53 EDT 2022

% Result   : Theorem 0.15s 0.34s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  13   ~;   1   |;  15   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   39 (   0 sgn  33   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(oag10,axiom,
    ! [A,L] :
      ~ ( left_apart_point(A,L)
        | left_apart_point(A,reverse_line(L)) ) ).

fof(con,conjecture,
    ! [A,B,L] :
      ( ( left_apart_point(A,L)
        & left_apart_point(B,reverse_line(L)) )
     => ( distinct_points(A,B)
        & left_convergent_lines(line_connecting(A,B),L) ) ) ).

fof(subgoal_0,plain,
    ! [A,B,L] :
      ( ( left_apart_point(A,L)
        & left_apart_point(B,reverse_line(L)) )
     => distinct_points(A,B) ),
    inference(strip,[],[con]) ).

fof(subgoal_1,plain,
    ! [A,B,L] :
      ( ( left_apart_point(A,L)
        & left_apart_point(B,reverse_line(L))
        & distinct_points(A,B) )
     => left_convergent_lines(line_connecting(A,B),L) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [A,B,L] :
        ( ( left_apart_point(A,L)
          & left_apart_point(B,reverse_line(L)) )
       => distinct_points(A,B) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [A,B,L] :
      ( ~ distinct_points(A,B)
      & left_apart_point(A,L)
      & left_apart_point(B,reverse_line(L)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(canonicalize,[],[oag10]) ).

fof(normalize_0_2,plain,
    ! [A,L] : ~ left_apart_point(A,L),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,L] : ~ left_apart_point(A,L),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_3]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_4]) ).

fof(negate_1_0,plain,
    ~ ! [A,B,L] :
        ( ( left_apart_point(A,L)
          & left_apart_point(B,reverse_line(L))
          & distinct_points(A,B) )
       => left_convergent_lines(line_connecting(A,B),L) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ? [A,B,L] :
      ( ~ left_convergent_lines(line_connecting(A,B),L)
      & distinct_points(A,B)
      & left_apart_point(A,L)
      & left_apart_point(B,reverse_line(L)) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_1,plain,
    ( ! [A,L] : ~ left_apart_point(A,L)
    & ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
    inference(canonicalize,[],[oag10]) ).

fof(normalize_1_2,plain,
    ! [A,L] : ~ left_apart_point(A,L),
    inference(conjunct,[],[normalize_1_1]) ).

fof(normalize_1_3,plain,
    ! [A,L] : ~ left_apart_point(A,L),
    inference(specialize,[],[normalize_1_2]) ).

fof(normalize_1_4,plain,
    $false,
    inference(simplify,[],[normalize_1_0,normalize_1_3]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.09/0.11  % Command  : metis --show proof --show saturation %s
% 0.11/0.30  % Computer : n008.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Sat Jun 18 02:07:22 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.11/0.31  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34  
% 0.15/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.34  
%------------------------------------------------------------------------------