TSTP Solution File: GEO259+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO259+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.9WqnNzyH7f true

% Computer : n021.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 23:58:08 EDT 2023

% Result   : Theorem 16.61s 3.01s
% Output   : Refutation 16.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   62 (  17 unt;   8 typ;   0 def)
%            Number of atoms       :  128 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  434 (  39   ~;  59   |;  10   &; 321   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :   94 (   0   ^;  94   !;   0   ?;  94   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(between_on_line_type,type,
    between_on_line: $i > $i > $i > $i > $o ).

thf(line_connecting_type,type,
    line_connecting: $i > $i > $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,C: $i] :
      ( ( ( line @ L )
        & ( distinct_points @ A @ C )
        & ( distinct_points @ B @ C )
        & ( distinct_points @ A @ B ) )
     => ~ ( ( between_on_line @ L @ A @ B @ C )
          & ( between_on_line @ L @ B @ A @ C ) ) ) ).

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

thf(zip_derived_cl63,plain,
    line @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_001,plain,
    line @ sk_,
    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(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_cl165,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ~ ( line @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X2 )
      | ( unequally_directed_lines @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl30]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ~ ( line @ X1 )
      | ( unequally_directed_lines @ X1 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl165]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl384]) ).

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_cl389,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl29]) ).

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_cl186,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_002,plain,
    ! [X0: $i,X1: $i] :
      ~ ( left_convergent_lines @ X0 @ X1 ),
    inference(cnf,[status(esa)],[oag11]) ).

thf(zip_derived_cl187,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl41]) ).

thf(zip_derived_cl392,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl187]) ).

thf(zip_derived_cl389_003,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl29]) ).

thf(zip_derived_cl403,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl392,zip_derived_cl389]) ).

thf(zip_derived_cl30_004,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_cl421,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ ( reverse_line @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl30]) ).

thf(zip_derived_cl389_005,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl29]) ).

thf(zip_derived_cl30_006,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_cl390,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl30]) ).

thf(zip_derived_cl187_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl41]) ).

thf(zip_derived_cl1241,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl187]) ).

thf(zip_derived_cl1293,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl1241]) ).

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

thf(zip_derived_cl13058,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ ( reverse_line @ X0 ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ sk_ @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1293,zip_derived_cl29]) ).

thf(zip_derived_cl13227,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ ( reverse_line @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl13058]) ).

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_cl13902,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13227,zip_derived_cl52]) ).

thf(zip_derived_cl390_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ X0 )
      | ( unequally_directed_lines @ X0 @ X1 )
      | ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl30]) ).

thf(zip_derived_cl392_010,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) )
      | ~ ( unequally_directed_lines @ ( reverse_line @ sk_ ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl187]) ).

thf(zip_derived_cl1246,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X1 @ X0 )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl392]) ).

thf(zip_derived_cl187_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl41]) ).

thf(zip_derived_cl12318,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ X0 ) ) )
      | ( unequally_directed_lines @ sk_ @ X1 )
      | ~ ( unequally_directed_lines @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1246,zip_derived_cl187]) ).

thf(zip_derived_cl13956,plain,
    ! [X0: $i] :
      ( ( unequally_directed_lines @ sk_ @ sk_ )
      | ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13902,zip_derived_cl12318]) ).

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

thf(zip_derived_cl13963,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl13956,zip_derived_cl29]) ).

thf(zip_derived_cl187_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl41]) ).

thf(zip_derived_cl14511,plain,
    ! [X0: $i] :
      ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13963,zip_derived_cl187]) ).

thf(zip_derived_cl13902_014,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( line_connecting @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13227,zip_derived_cl52]) ).

thf(zip_derived_cl30_015,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_cl13953,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ ( line_connecting @ X0 @ X0 ) @ X1 )
      | ( unequally_directed_lines @ sk_ @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13902,zip_derived_cl30]) ).

thf(zip_derived_cl52_016,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_cl14685,plain,
    ! [X0: $i] : ( unequally_directed_lines @ sk_ @ ( reverse_line @ ( line_connecting @ X0 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13953,zip_derived_cl52]) ).

thf(zip_derived_cl14717,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14511,zip_derived_cl14685]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9WqnNzyH7f true
% 0.14/0.35  % Computer : n021.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 20:31:29 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.61/3.01  % Solved by fo/fo3_bce.sh.
% 16.61/3.01  % BCE start: 65
% 16.61/3.01  % BCE eliminated: 0
% 16.61/3.01  % PE start: 65
% 16.61/3.01  logic: neq
% 16.61/3.01  % PE eliminated: 8
% 16.61/3.01  % done 3150 iterations in 2.261s
% 16.61/3.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.61/3.01  % SZS output start Refutation
% See solution above
% 16.61/3.01  
% 16.61/3.01  
% 16.61/3.01  % Terminating...
% 17.25/3.06  % Runner terminated.
% 17.25/3.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------