%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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 05:25:47 EDT 2022

% Result   : Theorem 0.21s 0.38s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (  15   ~;   1   |;  13   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   2 sgn  19   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(oag11,axiom,
    ! [L,M] :
      ~ ( left_convergent_lines(L,M)
        | left_convergent_lines(L,reverse_line(M)) ) ).

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

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

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

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

fof(normalize_0_1,plain,
    ( ~ apart_point_and_line(skolemFOFtoCNF_A,skolemFOFtoCNF_L)
    & ~ left_apart_point(skolemFOFtoCNF_B,reverse_line(skolemFOFtoCNF_L))
    & distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
    & left_convergent_lines(skolemFOFtoCNF_L,reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    left_convergent_lines(skolemFOFtoCNF_L,reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( ! [L,M] : ~ left_convergent_lines(L,M)
    & ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
    inference(canonicalize,[],[oag11]) ).

fof(normalize_0_4,plain,
    ! [L,M] : ~ left_convergent_lines(L,M),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [L,M] : ~ left_convergent_lines(L,M),
    inference(specialize,[],[normalize_0_4]) ).

cnf(refute_0_0,plain,
    left_convergent_lines(skolemFOFtoCNF_L,reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ~ left_convergent_lines(L,M),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ~ left_convergent_lines(skolemFOFtoCNF_L,reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),
    inference(subst,[],[refute_0_1:[bind(L,$fot(skolemFOFtoCNF_L)),bind(M,$fot(reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( left_convergent_lines(skolemFOFtoCNF_L,reverse_line(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B))) )],[refute_0_0,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 00:08:13 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.38  
% 0.21/0.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.39  
%------------------------------------------------------------------------------