TSTP Solution File: SYN366+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN366+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.Hm6qDrFYPG true

% Computer : n031.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 04:03:02 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   56 (   4   ~;   2   |;   2   &;  40   @)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  16   !;   2   ?;  18   :)

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

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

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

thf(x2117,conjecture,
    ( ( ! [U: $i,V: $i] :
          ( ( big_r @ U @ U )
        <=> ( big_r @ U @ V ) )
      & ! [W: $i,Z: $i] :
          ( ( big_r @ W @ W )
        <=> ( big_r @ Z @ W ) ) )
   => ( ? [X: $i] : ( big_r @ X @ X )
     => ! [Y: $i] : ( big_r @ Y @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [U: $i,V: $i] :
            ( ( big_r @ U @ U )
          <=> ( big_r @ U @ V ) )
        & ! [W: $i,Z: $i] :
            ( ( big_r @ W @ W )
          <=> ( big_r @ Z @ W ) ) )
     => ( ? [X: $i] : ( big_r @ X @ X )
       => ! [Y: $i] : ( big_r @ Y @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[x2117]) ).

thf(zip_derived_cl4,plain,
    ~ ( big_r @ sk__1 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    big_r @ sk_ @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X2: $i] :
      ( ( big_r @ X0 @ X2 )
      | ~ ( big_r @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] : ( big_r @ sk_ @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

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

thf(zip_derived_cl12,plain,
    ! [X0: $i] : ( big_r @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hm6qDrFYPG true
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 22:13:08 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.37  % 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
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 6
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 6
% 0.22/0.76  logic: neq
% 0.22/0.76  % PE eliminated: 0
% 0.22/0.76  % done 9 iterations in 0.006s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 1.53/0.87  % Runner terminated.
% 1.53/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------