TSTP Solution File: SYN066+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Gu6FSQXC6 true

% Computer : n007.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 : Fri Sep  1 04:01:30 EDT 2023

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   22 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :   23 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   70 (   8   ~;   3   |;   2   &;  53   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  23   !;   8   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_p_type,type,
    big_p: $i > $i > $o ).

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

thf(big_r_type,type,
    big_r: $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(big_q_type,type,
    big_q: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

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

thf(pel37_1,axiom,
    ! [Z: $i] :
    ? [W: $i] :
    ! [X: $i] :
    ? [Y: $i] :
      ( ( ( big_p @ Y @ W )
       => ? [U: $i] : ( big_q @ U @ W ) )
      & ( big_p @ Y @ Z )
      & ( ( big_p @ X @ Z )
       => ( big_p @ Y @ W ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_q @ ( sk__2 @ X0 ) @ ( sk_ @ X0 ) )
      | ~ ( big_p @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[pel37_1]) ).

thf(pel37_3,axiom,
    ( ? [X: $i,Y: $i] : ( big_q @ X @ Y )
   => ! [Z: $i] : ( big_r @ Z @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( big_r @ X0 @ X0 )
      | ~ ( big_q @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[pel37_3]) ).

thf(pel37,conjecture,
    ! [X: $i] :
    ? [Y: $i] : ( big_r @ X @ Y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
      ? [Y: $i] : ( big_r @ X @ Y ),
    inference('cnf.neg',[status(esa)],[pel37]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ~ ( big_r @ sk__4 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_q @ X1 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_p @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).

thf(pel37_2,axiom,
    ! [X: $i,Z: $i] :
      ( ~ ( big_p @ X @ Z )
     => ? [Y: $i] : ( big_q @ Y @ Z ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_q @ ( sk__3 @ X0 ) @ X0 )
      | ( big_p @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[pel37_2]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_q @ X1 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] : ( big_p @ X1 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Gu6FSQXC6 true
% 0.14/0.35  % Computer : n007.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 : Sat Aug 26 21:43:42 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
% 0.55/0.68  % Total configuration time : 435
% 0.55/0.68  % Estimated wc time : 1092
% 0.55/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74  % Solved by fo/fo6_bce.sh.
% 0.58/0.74  % BCE start: 6
% 0.58/0.74  % BCE eliminated: 0
% 0.58/0.74  % PE start: 6
% 0.58/0.74  logic: neq
% 0.58/0.74  % PE eliminated: 2
% 0.58/0.74  % done 3 iterations in 0.005s
% 0.58/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.74  % SZS output start Refutation
% See solution above
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  % Terminating...
% 1.47/0.79  % Runner terminated.
% 1.49/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------