TSTP Solution File: GEO265+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4wtZlTqc9L true

% Computer : n014.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 23:58:11 EDT 2023

% Result   : Theorem 0.22s 0.73s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   65 (   8   ~;   3   |;   0   &;  49   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(equally_directed_opposite_lines_type,type,
    equally_directed_opposite_lines: $i > $i > $o ).

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

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

thf(equally_directed_lines_type,type,
    equally_directed_lines: $i > $i > $o ).

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

thf(unequally_directed_opposite_lines_type,type,
    unequally_directed_opposite_lines: $i > $i > $o ).

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

thf(con,conjecture,
    ! [L: $i,M: $i] :
      ( ( equally_directed_lines @ L @ ( reverse_line @ M ) )
     => ( equally_directed_opposite_lines @ L @ M ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [L: $i,M: $i] :
        ( ( equally_directed_lines @ L @ ( reverse_line @ M ) )
       => ( equally_directed_opposite_lines @ L @ M ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl67,plain,
    equally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(a4_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_lines @ X @ Y )
    <=> ~ ( unequally_directed_lines @ X @ Y ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( unequally_directed_lines @ X0 @ X1 )
      | ~ ( equally_directed_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a4_defns]) ).

thf(zip_derived_cl116,plain,
    ~ ( unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl6]) ).

thf(a5_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( equally_directed_opposite_lines @ X @ Y )
    <=> ~ ( unequally_directed_opposite_lines @ X @ Y ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( equally_directed_opposite_lines @ X0 @ X1 )
      | ( unequally_directed_opposite_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a5_defns]) ).

thf(zip_derived_cl68,plain,
    ~ ( equally_directed_opposite_lines @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl99,plain,
    unequally_directed_opposite_lines @ sk_ @ sk__1,
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl68]) ).

thf(a1_defns,axiom,
    ! [X: $i,Y: $i] :
      ( ( unequally_directed_opposite_lines @ X @ Y )
    <=> ( unequally_directed_lines @ X @ ( reverse_line @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( unequally_directed_lines @ X0 @ ( reverse_line @ X1 ) )
      | ~ ( unequally_directed_opposite_lines @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[a1_defns]) ).

thf(zip_derived_cl101,plain,
    unequally_directed_lines @ sk_ @ ( reverse_line @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl99,zip_derived_cl0]) ).

thf(zip_derived_cl132,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl101]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO265+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4wtZlTqc9L true
% 0.18/0.35  % Computer : n014.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Tue Aug 29 20:11:15 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % Solved by fo/fo6_bce.sh.
% 0.22/0.73  % BCE start: 69
% 0.22/0.73  % BCE eliminated: 0
% 0.22/0.73  % PE start: 69
% 0.22/0.73  logic: neq
% 0.22/0.73  % PE eliminated: 31
% 0.22/0.73  % done 11 iterations in 0.015s
% 0.22/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.73  % SZS output start Refutation
% See solution above
% 0.22/0.73  
% 0.22/0.73  
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % Terminating...
% 0.22/0.76  % Runner terminated.
% 0.22/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------