TSTP Solution File: GEO254+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO254+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v9kTEW0dRu true

% Computer : n026.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 23:58:05 EDT 2023

% Result   : Theorem 73.27s 11.47s
% Output   : Refutation 73.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  113 (  28 unt;  11 typ;   0 def)
%            Number of atoms       :  247 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  928 (  74   ~; 129   |;  10   &; 709   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :  168 (   0   ^; 168   !;   0   ?; 168   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(before_on_line_type,type,
    before_on_line: $i > $i > $i > $o ).

thf(left_apart_point_type,type,
    left_apart_point: $i > $i > $o ).

thf(line_connecting_type,type,
    line_connecting: $i > $i > $i ).

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

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

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

thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

thf(left_convergent_lines_type,type,
    left_convergent_lines: $i > $i > $o ).

thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(bf_def,axiom,
    ! [L: $i,A: $i,B: $i] :
      ( ( before_on_line @ L @ A @ B )
    <=> ( ( distinct_points @ A @ B )
        & ~ ( ( left_apart_point @ A @ L )
            | ( left_apart_point @ A @ ( reverse_line @ L ) ) )
        & ~ ( ( left_apart_point @ B @ L )
            | ( left_apart_point @ B @ ( reverse_line @ L ) ) )
        & ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( unequally_directed_lines @ X0 @ ( line_connecting @ X1 @ X2 ) )
      | ( left_apart_point @ X2 @ X0 )
      | ( left_apart_point @ X2 @ ( reverse_line @ X0 ) )
      | ( left_apart_point @ X1 @ X0 )
      | ( left_apart_point @ X1 @ ( reverse_line @ X0 ) )
      | ~ ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[bf_def]) ).

thf(oag10,axiom,
    ! [A: $i,L: $i] :
      ~ ( ( left_apart_point @ A @ L )
        | ( left_apart_point @ A @ ( reverse_line @ L ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl39_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl39_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl39_003,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_apart_point @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag10]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( unequally_directed_lines @ X0 @ ( line_connecting @ X1 @ X2 ) )
      | ~ ( distinct_points @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl113_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( before_on_line @ X0 @ X1 @ X2 )
      | ( unequally_directed_lines @ X0 @ ( line_connecting @ X1 @ X2 ) )
      | ~ ( distinct_points @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(con,conjecture,
    ! [A: $i,B: $i,L: $i] :
      ( ( ( distinct_points @ A @ B )
        & ~ ( apart_point_and_line @ A @ L )
        & ~ ( apart_point_and_line @ B @ L ) )
     => ( ( before_on_line @ L @ A @ B )
        & ( before_on_line @ L @ B @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,L: $i] :
        ( ( ( distinct_points @ A @ B )
          & ~ ( apart_point_and_line @ A @ L )
          & ~ ( apart_point_and_line @ B @ L ) )
       => ( ( before_on_line @ L @ A @ B )
          & ( before_on_line @ L @ B @ A ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( before_on_line @ sk__2 @ sk_ @ sk__1 )
    | ~ ( before_on_line @ sk__2 @ sk__1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    ( ~ ( distinct_points @ sk__1 @ sk_ )
    | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ) )
    | ~ ( before_on_line @ sk__2 @ sk_ @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl59]) ).

thf(zip_derived_cl62,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(oag2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( distinct_points @ A @ B )
     => ( ( distinct_points @ A @ C )
        | ( distinct_points @ B @ C ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag2]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ( distinct_points @ sk__1 @ X0 )
      | ( distinct_points @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl26]) ).

thf(zip_derived_cl26_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag2]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_points @ sk_ @ X0 )
      | ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ sk__1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl26]) ).

thf(oag1,axiom,
    ! [A: $i] :
      ~ ( distinct_points @ A @ A ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag1]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ sk__1 )
      | ( distinct_points @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl25]) ).

thf(zip_derived_cl26_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ X0 @ X2 )
      | ( distinct_points @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag2]) ).

thf(zip_derived_cl163,plain,
    ! [X0: $i,X1: $i] :
      ( ( distinct_points @ X0 @ sk__1 )
      | ( distinct_points @ X0 @ X1 )
      | ( distinct_points @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl26]) ).

thf(zip_derived_cl25_007,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag1]) ).

thf(zip_derived_cl206,plain,
    ! [X0: $i] :
      ( ( distinct_points @ X0 @ sk_ )
      | ( distinct_points @ X0 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl25]) ).

thf(zip_derived_cl25_008,plain,
    ! [X0: $i] :
      ~ ( distinct_points @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag1]) ).

thf(zip_derived_cl219,plain,
    distinct_points @ sk__1 @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl25]) ).

thf(zip_derived_cl237,plain,
    ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ) )
    | ~ ( before_on_line @ sk__2 @ sk_ @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl219]) ).

thf(zip_derived_cl246,plain,
    ( ~ ( distinct_points @ sk_ @ sk__1 )
    | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl237]) ).

thf(zip_derived_cl62_009,plain,
    distinct_points @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl247,plain,
    ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
    | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl62]) ).

thf(oag6,axiom,
    ! [L: $i,M: $i,N: $i] :
      ( ( unequally_directed_lines @ L @ M )
     => ( ( unequally_directed_lines @ L @ N )
        | ( unequally_directed_lines @ M @ N ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl30]) ).

thf(zip_derived_cl312_010,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl30]) ).

thf(zip_derived_cl30_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl30]) ).

thf(oag9,axiom,
    ! [L: $i,M: $i] :
      ( ( ( unequally_directed_lines @ L @ M )
        & ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
     => ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ( left_convergent_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[oag9]) ).

thf(oag11,axiom,
    ! [L: $i,M: $i] :
      ~ ( ( left_convergent_lines @ L @ M )
        | ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i,X1: $i] :
      ( ( left_convergent_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_lines @ X0 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl41]) ).

thf(zip_derived_cl41_012,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl978,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ~ ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl166]) ).

thf(zip_derived_cl1031,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl978]) ).

thf(zip_derived_cl1035,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1031]) ).

thf(zip_derived_cl7479,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ X0 @ ( reverse_line @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1035]) ).

thf(oagco9,axiom,
    ! [A: $i,B: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl23785,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7479,zip_derived_cl52]) ).

thf(zip_derived_cl30_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl23899,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ ( line_connecting @ X0 @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk__2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23785,zip_derived_cl30]) ).

thf(zip_derived_cl52_014,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl24734,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23899,zip_derived_cl52]) ).

thf(zip_derived_cl23785_015,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7479,zip_derived_cl52]) ).

thf(zip_derived_cl312_016,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl30]) ).

thf(zip_derived_cl166_017,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ~ ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl166]) ).

thf(zip_derived_cl326_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( line_connecting @ sk__1 @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl312,zip_derived_cl30]) ).

thf(zip_derived_cl997,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl326]) ).

thf(zip_derived_cl1002,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X1 )
      | ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl997]) ).

thf(zip_derived_cl166_019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl6911,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ X0 ) ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ~ ( unequally_directed_lines @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1002,zip_derived_cl166]) ).

thf(zip_derived_cl23901,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ sk__2 )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23785,zip_derived_cl6911]) ).

thf(oag5,axiom,
    ! [L: $i] :
      ~ ( unequally_directed_lines @ L @ L ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl23920,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23901,zip_derived_cl29]) ).

thf(zip_derived_cl23921,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) )
      | ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl23920]) ).

thf(zip_derived_cl166_020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl24523,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ) )
      | ~ ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23921,zip_derived_cl166]) ).

thf(zip_derived_cl24909,plain,
    unequally_directed_lines @ sk__2 @ ( line_connecting @ sk_ @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl24734,zip_derived_cl24523]) ).

thf(zip_derived_cl30_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl24910,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24909,zip_derived_cl30]) ).

thf(zip_derived_cl24910_022,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24909,zip_derived_cl30]) ).

thf(zip_derived_cl30_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl24911,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl30]) ).

thf(zip_derived_cl166_024,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl31372,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ~ ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24911,zip_derived_cl166]) ).

thf(zip_derived_cl31657,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl31372]) ).

thf(zip_derived_cl50262,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl31657]) ).

thf(zip_derived_cl52_025,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl51884,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk__2 @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50262,zip_derived_cl52]) ).

thf(zip_derived_cl24911_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl30]) ).

thf(zip_derived_cl24910_027,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24909,zip_derived_cl30]) ).

thf(zip_derived_cl166_028,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl24913,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( line_connecting @ sk_ @ sk__1 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24910,zip_derived_cl166]) ).

thf(zip_derived_cl31389,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24911,zip_derived_cl24913]) ).

thf(zip_derived_cl166_029,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl37536,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ X0 ) ) )
      | ( unequally_directed_lines @ sk__2 @ X1 )
      | ~ ( unequally_directed_lines @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31389,zip_derived_cl166]) ).

thf(zip_derived_cl52052,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk__2 @ sk__2 )
      | ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51884,zip_derived_cl37536]) ).

thf(zip_derived_cl29_030,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl52057,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl52052,zip_derived_cl29]) ).

thf(zip_derived_cl166_031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl41]) ).

thf(zip_derived_cl52069,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52057,zip_derived_cl166]) ).

thf(zip_derived_cl51884_032,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk__2 @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50262,zip_derived_cl52]) ).

thf(zip_derived_cl30_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[oag6]) ).

thf(zip_derived_cl52050,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ X0 @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk__2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51884,zip_derived_cl30]) ).

thf(zip_derived_cl52_034,plain,
    ! [X0: $i,X1: $i] :
      ~ ( unequally_directed_lines @ ( line_connecting @ X0 @ X1 ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[oagco9]) ).

thf(zip_derived_cl52153,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk__2 @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52050,zip_derived_cl52]) ).

thf(zip_derived_cl52208,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl52069,zip_derived_cl52153]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO254+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v9kTEW0dRu true
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Aug 29 23:37:51 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.17/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.17/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.17/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 73.27/11.47  % Solved by fo/fo3_bce.sh.
% 73.27/11.47  % BCE start: 63
% 73.27/11.47  % BCE eliminated: 0
% 73.27/11.47  % PE start: 63
% 73.27/11.47  logic: neq
% 73.27/11.47  % PE eliminated: 12
% 73.27/11.47  % done 8672 iterations in 10.662s
% 73.27/11.47  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 73.27/11.47  % SZS output start Refutation
% See solution above
% 73.27/11.47  
% 73.27/11.47  
% 73.27/11.47  % Terminating...
% 74.14/11.66  % Runner terminated.
% 74.14/11.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------