TSTP Solution File: GEO255+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7g8oAzy4ph true

% Computer : n019.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 23:58:06 EDT 2023

% Result   : Theorem 1.40s 0.91s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   68 (  22 unt;  11 typ;   0 def)
%            Number of atoms       :  120 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  436 (  45   ~;  47   |;   9   &; 328   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   78 (   0   ^;  78   !;   0   ?;  78   :)

% 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(line_type,type,
    line: $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(con,conjecture,
    ! [L: $i,A: $i,B: $i] :
      ( ( ( line @ L )
        & ( distinct_points @ A @ B ) )
     => ~ ( ( before_on_line @ L @ A @ B )
          & ( before_on_line @ L @ B @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,A: $i,B: $i] :
        ( ( ( line @ L )
          & ( distinct_points @ A @ B ) )
       => ~ ( ( 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_ @ sk__2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(oag8,axiom,
    ! [L: $i,M: $i] :
      ( ( ( line @ L )
        & ( line @ M ) )
     => ( ( unequally_directed_lines @ L @ M )
        | ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( line @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(cnf,[status(esa)],[oag8]) ).

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_cl156,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X0 )
      | ~ ( line @ X0 )
      | ~ ( line @ ( reverse_line @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl29]) ).

thf(oagco4,axiom,
    ! [L: $i] :
      ( ( line @ L )
     => ( line @ ( reverse_line @ L ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( line @ ( reverse_line @ X0 ) )
      | ~ ( line @ X0 ) ),
    inference(cnf,[status(esa)],[oagco4]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ~ ( line @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl156,zip_derived_cl45]) ).

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

thf(zip_derived_cl172,plain,
    unequally_directed_lines @ ( reverse_line @ sk_ ) @ sk_,
    inference('s_sup+',[status(thm)],[zip_derived_cl171,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_cl176,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl30]) ).

thf(zip_derived_cl30_001,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_cl191,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl30]) ).

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_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ ( line_connecting @ X1 @ X2 ) )
      | ~ ( before_on_line @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[bf_def]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ X1 @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X2 )
      | ~ ( before_on_line @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl17]) ).

thf(zip_derived_cl752,plain,
    ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ sk__2 @ sk__1 ) )
    | ( unequally_directed_lines @ sk_ @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl275]) ).

thf(zip_derived_cl29_002,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl754,plain,
    unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ sk__2 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl29]) ).

thf(zip_derived_cl176_003,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,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_cl177,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_004,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl178,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl41]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl178]) ).

thf(zip_derived_cl775,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ sk__2 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl193]) ).

thf(zip_derived_cl178_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl41]) ).

thf(zip_derived_cl820,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( line_connecting @ sk__2 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl775,zip_derived_cl178]) ).

thf(zip_derived_cl191_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl30]) ).

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_cl278,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( reverse_line @ ( line_connecting @ X1 @ X0 ) ) )
      | ( unequally_directed_lines @ sk_ @ ( line_connecting @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl52]) ).

thf(zip_derived_cl60,plain,
    before_on_line @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl275_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ X1 @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X2 )
      | ~ ( before_on_line @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl17]) ).

thf(zip_derived_cl751,plain,
    ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ sk__1 @ sk__2 ) )
    | ( unequally_directed_lines @ sk_ @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl275]) ).

thf(zip_derived_cl29_008,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl753,plain,
    unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( line_connecting @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl29]) ).

thf(zip_derived_cl193_009,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl178]) ).

thf(zip_derived_cl761,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl753,zip_derived_cl193]) ).

thf(zip_derived_cl191_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 )
      | ( unequally_directed_lines @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl30]) ).

thf(zip_derived_cl178_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl41]) ).

thf(zip_derived_cl274,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ~ ( unequally_directed_lines @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl178]) ).

thf(zip_derived_cl779,plain,
    ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( reverse_line @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) ) )
    | ( unequally_directed_lines @ sk_ @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl274]) ).

thf(zip_derived_cl29_012,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ X0 @ X0 ),
    inference(cnf,[status(esa)],[oag5]) ).

thf(zip_derived_cl781,plain,
    unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( reverse_line @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl29]) ).

thf(zip_derived_cl178_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl177,zip_derived_cl41]) ).

thf(zip_derived_cl920,plain,
    ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ ( reverse_line @ ( line_connecting @ sk__1 @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl781,zip_derived_cl178]) ).

thf(zip_derived_cl967,plain,
    unequally_directed_lines @ sk_ @ ( line_connecting @ sk__2 @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl920]) ).

thf(zip_derived_cl977,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl820,zip_derived_cl967]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7g8oAzy4ph true
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 23:39:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.28/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.91  % Solved by fo/fo6_bce.sh.
% 1.40/0.91  % BCE start: 63
% 1.40/0.91  % BCE eliminated: 0
% 1.40/0.91  % PE start: 63
% 1.40/0.91  logic: neq
% 1.40/0.91  % PE eliminated: 16
% 1.40/0.91  % done 230 iterations in 0.174s
% 1.40/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.91  % SZS output start Refutation
% See solution above
% 1.40/0.92  
% 1.40/0.92  
% 1.40/0.92  % Terminating...
% 1.72/0.98  % Runner terminated.
% 1.88/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------