TSTP Solution File: GEO223+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO223+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dDLHNFEIuV true

% Computer : n023.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 Aug 30 23:57:48 EDT 2023

% Result   : Theorem 3.36s 1.16s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   75 (  23 unt;  12 typ;   0 def)
%            Number of atoms       :  146 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  629 (  34   ~;  60   |;   6   &; 512   @)
%                                         (   0 <=>;   7  =>;  10  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  111 (   0   ^; 111   !;   0   ?; 111   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $i > $i > $o ).

thf(distinct_lines_type,type,
    distinct_lines: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(orthogonal_through_point_type,type,
    orthogonal_through_point: $i > $i > $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(parallel_through_point_type,type,
    parallel_through_point: $i > $i > $i ).

thf(apart_point_and_line_type,type,
    apart_point_and_line: $i > $i > $o ).

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

thf(con,conjecture,
    ! [A: $i,L: $i] :
      ~ ( distinct_lines @ ( parallel_through_point @ L @ A ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,L: $i] :
        ~ ( distinct_lines @ ( parallel_through_point @ L @ A ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl26,plain,
    distinct_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ouo1,axiom,
    ! [A: $i,L: $i,M: $i,N: $i] :
      ( ( distinct_lines @ L @ M )
     => ( ( apart_point_and_line @ A @ L )
        | ( apart_point_and_line @ A @ M )
        | ( unorthogonal_lines @ L @ N )
        | ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ( apart_point_and_line @ X0 @ X2 )
      | ~ ( distinct_lines @ X2 @ X1 )
      | ( unorthogonal_lines @ X2 @ X3 )
      | ( unorthogonal_lines @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ouo1]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
      | ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
      | ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
      | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl25]) ).

thf(zip_derived_cl487,plain,
    ( ! [X1: $i] :
        ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
        | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) )
   <= ! [X1: $i] :
        ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
        | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf(ooc1,axiom,
    ! [A: $i,L: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl490,plain,
    ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) )
   <= ! [X1: $i] :
        ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
        | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl23]) ).

thf(zip_derived_cl26_001,plain,
    distinct_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cup1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( distinct_lines @ Y @ Z )
     => ( ( apart_point_and_line @ X @ Y )
        | ( apart_point_and_line @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( apart_point_and_line @ X0 @ X1 )
      | ~ ( distinct_lines @ X1 @ X2 )
      | ( apart_point_and_line @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[cup1]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
      | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) )
      | ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).

thf(zip_derived_cl295,plain,
    ( ! [X0: $i] :
        ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) )
   <= ! [X0: $i] :
        ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl64]) ).

thf(ooc2,axiom,
    ! [A: $i,L: $i] :
      ~ ( apart_point_and_line @ A @ ( orthogonal_through_point @ L @ A ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ~ ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ooc2]) ).

thf(zip_derived_cl301,plain,
    ( ( apart_point_and_line @ sk_ @ ( parallel_through_point @ sk__1 @ sk_ ) )
   <= ! [X0: $i] :
        ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl24]) ).

thf(cp2,axiom,
    ! [X: $i,Y: $i] :
      ~ ( apart_point_and_line @ X @ ( parallel_through_point @ Y @ X ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ~ ( apart_point_and_line @ X0 @ ( parallel_through_point @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[cp2]) ).

thf('0',plain,
    ~ ! [X0: $i] :
        ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl15]) ).

thf('1',plain,
    ( ! [X1: $i] :
        ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
        | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) )
    | ! [X0: $i] :
        ( ( apart_point_and_line @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( apart_point_and_line @ X0 @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl69]) ).

thf('2',plain,
    ! [X1: $i] :
      ( ( unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X1 )
      | ( unorthogonal_lines @ ( orthogonal_through_point @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ sk_ ) @ X1 ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl492,plain,
    unorthogonal_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl490,'2']) ).

thf(oac1,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( unorthogonal_lines @ L @ M )
        & ( convergent_lines @ L @ M ) )
     => ( ( ( unorthogonal_lines @ M @ N )
          & ( convergent_lines @ M @ N ) )
        | ( ( unorthogonal_lines @ L @ N )
          & ( convergent_lines @ L @ N ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [N: $i,L: $i] :
      ( ( zip_tseitin_1 @ N @ L )
     => ( ( convergent_lines @ L @ N )
        & ( unorthogonal_lines @ L @ N ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [N: $i,M: $i] :
      ( ( zip_tseitin_0 @ N @ M )
     => ( ( convergent_lines @ M @ N )
        & ( unorthogonal_lines @ M @ N ) ) ) ).

thf(zf_stmt_5,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( ( convergent_lines @ L @ M )
        & ( unorthogonal_lines @ L @ M ) )
     => ( ( zip_tseitin_1 @ N @ L )
        | ( zip_tseitin_0 @ N @ M ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unorthogonal_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X0 )
      | ( zip_tseitin_0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i] :
      ( ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) )
      | ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
      | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl22]) ).

thf(zip_derived_cl520,plain,
    ( ! [X0: $i] :
        ( ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) )
   <= ! [X0: $i] :
        ( ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl494]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( convergent_lines @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl522,plain,
    ( ! [X0: $i] :
        ( ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) )
        | ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X0 ) )
   <= ! [X0: $i] :
        ( ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl20]) ).

thf(zip_derived_cl521,plain,
    ( ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) )
   <= ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl494]) ).

thf(occu1,axiom,
    ! [L: $i,M: $i] :
      ( ( unorthogonal_lines @ L @ M )
      | ( convergent_lines @ L @ M ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[occu1]) ).

thf(zip_derived_cl23_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] : ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl23]) ).

thf(apart6,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( convergent_lines @ X @ Y )
     => ( ( convergent_lines @ X @ Z )
        | ( convergent_lines @ Y @ Z ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart6]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( convergent_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X2 )
      | ( convergent_lines @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl5]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart6]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( convergent_lines @ X2 @ X0 )
      | ( convergent_lines @ ( orthogonal_through_point @ X2 @ X1 ) @ X3 )
      | ( convergent_lines @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl5]) ).

thf(apart3,axiom,
    ! [X: $i] :
      ~ ( convergent_lines @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( convergent_lines @ X2 @ ( orthogonal_through_point @ X1 @ X0 ) )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).

thf(zip_derived_cl525,plain,
    ( ( convergent_lines @ sk__1 @ ( parallel_through_point @ sk__1 @ sk_ ) )
   <= ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl521,zip_derived_cl134]) ).

thf(zip_derived_cl5_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( convergent_lines @ X0 @ X1 )
      | ( convergent_lines @ X0 @ X2 )
      | ( convergent_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[apart6]) ).

thf(zip_derived_cl528,plain,
    ( ! [X0: $i] :
        ( ( convergent_lines @ sk__1 @ X0 )
        | ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X0 ) )
   <= ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl5]) ).

thf(cp1,axiom,
    ! [X: $i,Y: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ Y @ X ) @ Y ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[cp1]) ).

thf(zip_derived_cl581,plain,
    ( ( convergent_lines @ sk__1 @ sk__1 )
   <= ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl14]) ).

thf(zip_derived_cl2_005,plain,
    ! [X0: $i] :
      ~ ( convergent_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[apart3]) ).

thf('3',plain,
    convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl581,zip_derived_cl2]) ).

thf('4',plain,
    ( ! [X0: $i] :
        ( ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
        | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) )
    | ~ ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl494]) ).

thf('5',plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ ( parallel_through_point @ sk__1 @ sk_ ) )
      | ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) ) ),
    inference('sat_resolution*',[status(thm)],['3','4']) ).

thf(zip_derived_cl591,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 @ ( orthogonal_through_point @ sk__1 @ sk_ ) )
      | ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X0 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl522,'5']) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( unorthogonal_lines @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl594,plain,
    ! [X0: $i] :
      ( ( convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ X0 )
      | ( unorthogonal_lines @ ( orthogonal_through_point @ sk__1 @ sk_ ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl19]) ).

thf(zip_derived_cl23_006,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unorthogonal_lines @ ( orthogonal_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[ooc1]) ).

thf(zip_derived_cl641,plain,
    convergent_lines @ ( parallel_through_point @ sk__1 @ sk_ ) @ sk__1,
    inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl23]) ).

thf(zip_derived_cl14_007,plain,
    ! [X0: $i,X1: $i] :
      ~ ( convergent_lines @ ( parallel_through_point @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[cp1]) ).

thf(zip_derived_cl645,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO223+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dDLHNFEIuV true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 22:07:55 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.36/1.16  % Solved by fo/fo1_av.sh.
% 3.36/1.16  % done 173 iterations in 0.371s
% 3.36/1.16  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.36/1.16  % SZS output start Refutation
% See solution above
% 3.36/1.16  
% 3.36/1.16  
% 3.36/1.16  % Terminating...
% 4.47/1.29  % Runner terminated.
% 4.47/1.30  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------