%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 05:25:22 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   2 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   39 (  18   ~;   8   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   21 (   0 sgn  18   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cup1,axiom,
    ! [X,Y,Z] :
      ( distinct_lines(Y,Z)
     => ( apart_point_and_line(X,Y)
        | apart_point_and_line(X,Z)
        | convergent_lines(Y,Z) ) ) ).

fof(con,conjecture,
    ! [X,Y,Z] :
      ( ( ~ apart_point_and_line(X,Y)
        & ~ apart_point_and_line(X,Z)
        & ~ convergent_lines(Y,Z) )
     => ~ distinct_lines(Y,Z) ) ).

fof(subgoal_0,plain,
    ! [X,Y,Z] :
      ( ( ~ apart_point_and_line(X,Y)
        & ~ apart_point_and_line(X,Z)
        & ~ convergent_lines(Y,Z) )
     => ~ distinct_lines(Y,Z) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [X,Y,Z] :
        ( ( ~ apart_point_and_line(X,Y)
          & ~ apart_point_and_line(X,Z)
          & ~ convergent_lines(Y,Z) )
       => ~ distinct_lines(Y,Z) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X,Y,Z] :
      ( ~ apart_point_and_line(X,Y)
      & ~ apart_point_and_line(X,Z)
      & ~ convergent_lines(Y,Z)
      & distinct_lines(Y,Z) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [X,Y,Z] :
      ( ~ distinct_lines(Y,Z)
      | apart_point_and_line(X,Y)
      | apart_point_and_line(X,Z)
      | convergent_lines(Y,Z) ),
    inference(canonicalize,[],[cup1]) ).

fof(normalize_0_2,plain,
    ! [X,Y,Z] :
      ( ~ distinct_lines(Y,Z)
      | apart_point_and_line(X,Y)
      | apart_point_and_line(X,Z)
      | convergent_lines(Y,Z) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    $false,
    inference(simplify,[],[normalize_0_0,normalize_0_2]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 11:34:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  
%------------------------------------------------------------------------------