TSTP Solution File: GEO262+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO262+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.LA0sRMt2nN true

% Computer : n005.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 23:58:10 EDT 2023

% Result   : Theorem 1.14s 0.74s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   28 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   44 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  164 (  17   ~;  10   |;  12   &; 121   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   3 con; 0-4 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(intersection_point_type,type,
    intersection_point: $i > $i > $i ).

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

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

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

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

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

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

thf(con,conjecture,
    ! [L: $i,M: $i,N: $i,A: $i,B: $i,C: $i] :
      ( ( ( between_on_line @ L @ A @ B @ C )
        & ( convergent_lines @ L @ M )
        & ~ ( apart_point_and_line @ B @ M )
        & ( convergent_lines @ L @ N )
        & ( convergent_lines @ M @ N )
        & ~ ( apart_point_and_line @ B @ N ) )
     => ( between_on_line @ M @ ( intersection_point @ M @ ( parallel_through_point @ N @ A ) ) @ B @ ( intersection_point @ M @ ( parallel_through_point @ N @ C ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i,N: $i,A: $i,B: $i,C: $i] :
        ( ( ( between_on_line @ L @ A @ B @ C )
          & ( convergent_lines @ L @ M )
          & ~ ( apart_point_and_line @ B @ M )
          & ( convergent_lines @ L @ N )
          & ( convergent_lines @ M @ N )
          & ~ ( apart_point_and_line @ B @ N ) )
       => ( between_on_line @ M @ ( intersection_point @ M @ ( parallel_through_point @ N @ A ) ) @ B @ ( intersection_point @ M @ ( parallel_through_point @ N @ C ) ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl61,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(con_def,axiom,
    ! [L: $i,M: $i] :
      ( ( convergent_lines @ L @ M )
    <=> ( ( unequally_directed_lines @ L @ M )
        & ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[con_def]) ).

thf(zip_derived_cl89,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl4]) ).

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_001,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_cl181,plain,
    ~ ( unequally_directed_lines @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl178]) ).

thf(zip_derived_cl61_002,plain,
    convergent_lines @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( convergent_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[con_def]) ).

thf(zip_derived_cl88,plain,
    unequally_directed_lines @ sk_ @ sk__1,
    inference('dp-resolution',[status(thm)],[zip_derived_cl61,zip_derived_cl3]) ).

thf(zip_derived_cl185,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LA0sRMt2nN true
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 22:56:23 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.14/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.14/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.14/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.74  % Solved by fo/fo6_bce.sh.
% 1.14/0.74  % BCE start: 66
% 1.14/0.74  % BCE eliminated: 0
% 1.14/0.74  % PE start: 66
% 1.14/0.74  logic: neq
% 1.14/0.74  % PE eliminated: 9
% 1.14/0.74  % done 48 iterations in 0.031s
% 1.14/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.14/0.74  % SZS output start Refutation
% See solution above
% 1.14/0.74  
% 1.14/0.74  
% 1.14/0.74  % Terminating...
% 1.14/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.40/0.83  % Runner terminated.
% 1.40/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------