TSTP Solution File: SYN406+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN406+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ngKumQnuQY true

% Computer : n004.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 04:03:17 EDT 2023

% Result   : Theorem 0.70s 0.74s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (   5   ~;   2   |;   6   &;  20   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^;   4   !;   4   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $i > $o ).

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

thf(g_type,type,
    g: $i > $o ).

thf(h_type,type,
    h: $i > $o ).

thf(kalish240,conjecture,
    ( ( ! [X: $i] :
          ( ( f @ X )
         => ( g @ X ) )
      & ? [Y: $i] :
          ( ( h @ Y )
          & ( f @ Y ) ) )
   => ? [Z: $i] :
        ( ( h @ Z )
        & ( g @ Z ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: $i] :
            ( ( f @ X )
           => ( g @ X ) )
        & ? [Y: $i] :
            ( ( h @ Y )
            & ( f @ Y ) ) )
     => ? [Z: $i] :
          ( ( h @ Z )
          & ( g @ Z ) ) ),
    inference('cnf.neg',[status(esa)],[kalish240]) ).

thf(zip_derived_cl1,plain,
    h @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    f @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl4,plain,
    g @ sk_,
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ~ ( h @ X1 )
      | ~ ( g @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ~ ( h @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN406+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ngKumQnuQY true
% 0.14/0.35  % Computer : n004.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 17:46:07 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.74  % Solved by fo/fo6_bce.sh.
% 0.70/0.74  % BCE start: 4
% 0.70/0.74  % BCE eliminated: 0
% 0.70/0.74  % PE start: 4
% 0.70/0.74  logic: neq
% 0.70/0.74  % PE eliminated: 3
% 0.70/0.74  % done 0 iterations in 0.004s
% 0.70/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.74  % SZS output start Refutation
% See solution above
% 0.70/0.74  
% 0.70/0.74  
% 0.70/0.74  % Terminating...
% 1.12/0.76  % Runner terminated.
% 1.12/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------