%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n006.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 05:25:39 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   58 (  34   ~;   8   |;   6   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   24 (   0 sgn  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con_def,axiom,
    ! [L,M] :
      ( convergent_lines(L,M)
    <=> ( unequally_directed_lines(L,M)
        & unequally_directed_lines(L,reverse_line(M)) ) ) ).

fof(con,conjecture,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
    <=> ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ) ).

fof(subgoal_0,plain,
    ! [L,M] :
      ( ( ~ convergent_lines(L,M)
        & ~ ~ unequally_directed_lines(L,M) )
     => ~ unequally_directed_lines(L,reverse_line(M)) ),
    inference(strip,[],[con]) ).

fof(subgoal_1,plain,
    ! [L,M] :
      ( ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) )
     => ~ convergent_lines(L,M) ),
    inference(strip,[],[con]) ).

fof(negate_0_0,plain,
    ~ ! [L,M] :
        ( ( ~ convergent_lines(L,M)
          & ~ ~ unequally_directed_lines(L,M) )
       => ~ unequally_directed_lines(L,reverse_line(M)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [L,M] :
      ( ~ convergent_lines(L,M)
      & unequally_directed_lines(L,M)
      & unequally_directed_lines(L,reverse_line(M)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
    <=> ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(canonicalize,[],[con_def]) ).

fof(normalize_0_2,plain,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
    <=> ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    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]) ).

fof(negate_1_0,plain,
    ~ ! [L,M] :
        ( ( ~ unequally_directed_lines(L,M)
          | ~ unequally_directed_lines(L,reverse_line(M)) )
       => ~ convergent_lines(L,M) ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ? [L,M] :
      ( convergent_lines(L,M)
      & ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_1,plain,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
    <=> ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(canonicalize,[],[con_def]) ).

fof(normalize_1_2,plain,
    ! [L,M] :
      ( ~ convergent_lines(L,M)
    <=> ( ~ unequally_directed_lines(L,M)
        | ~ unequally_directed_lines(L,reverse_line(M)) ) ),
    inference(specialize,[],[normalize_1_1]) ).

fof(normalize_1_3,plain,
    $false,
    inference(simplify,[],[normalize_1_0,normalize_1_2]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n006.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 08:35:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------