TSTP Solution File: SYN381+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN381+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.db9hkPvgr5 true

% Computer : n015.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 04:03:07 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   70 (   6   ~;   6   |;   4   &;  48   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  18   !;   4   ?;  22   :)

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

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

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

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

thf(x2133,conjecture,
    ( ( ! [X: $i] :
          ( ? [Y: $i] : ( big_q @ X @ Y )
         => ( big_p @ X ) )
      & ! [V: $i] :
        ? [U: $i] : ( big_q @ U @ V )
      & ! [W: $i,Z: $i] :
          ( ( big_q @ W @ Z )
         => ( ( big_q @ Z @ W )
            | ( big_q @ Z @ Z ) ) ) )
   => ! [Z: $i] : ( big_p @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ? [Y: $i] : ( big_q @ X @ Y )
           => ( big_p @ X ) )
        & ! [V: $i] :
          ? [U: $i] : ( big_q @ U @ V )
        & ! [W: $i,Z: $i] :
            ( ( big_q @ W @ Z )
           => ( ( big_q @ Z @ W )
              | ( big_q @ Z @ Z ) ) ) )
     => ! [Z: $i] : ( big_p @ Z ) ),
    inference('cnf.neg',[status(esa)],[x2133]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] : ( big_q @ ( sk__1 @ X2 ) @ X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: $i,X4: $i] :
      ( ( big_q @ X3 @ X3 )
      | ( big_q @ X3 @ X4 )
      | ~ ( big_q @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 @ ( sk__1 @ X0 ) )
      | ( big_q @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ~ ( big_q @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( big_p @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ~ ( big_q @ sk_ @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    big_q @ sk_ @ sk_,
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i] :
      ~ ( big_q @ sk_ @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN381+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.db9hkPvgr5 true
% 0.16/0.36  % Computer : n015.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 19:35:23 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % Solved by fo/fo3_bce.sh.
% 0.22/0.77  % BCE start: 4
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 4
% 0.22/0.77  logic: neq
% 0.22/0.77  % PE eliminated: 1
% 0.22/0.77  % done 4 iterations in 0.005s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 1.23/0.85  % Runner terminated.
% 1.23/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------