TSTP Solution File: SEU614^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU614^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3tnI21KVZt true

% Computer : n029.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 : Thu Aug 31 19:14:43 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   18 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   43 (   2 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  151 (  17   ~;   5   |;   0   &;  92   @)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

thf(symdiffE_type,type,
    symdiffE: $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(symdiff_type,type,
    symdiff: $i > $i > $i ).

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(symdiffE,axiom,
    ( symdiffE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( symdiff @ A @ B ) )
         => ! [Xphi: $o] :
              ( ( ( in @ Xx @ A )
               => ( ~ ( in @ Xx @ B )
                 => Xphi ) )
             => ( ( ~ ( in @ Xx @ A )
                 => ( ( in @ Xx @ B )
                   => Xphi ) )
               => Xphi ) ) ) ) ) ).

thf('0',plain,
    ( symdiffE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( in @ X8 @ X4 )
               => ( ~ ( in @ X8 @ X6 )
                 => X10 ) )
             => ( ( ~ ( in @ X8 @ X4 )
                 => ( ( in @ X8 @ X6 )
                   => X10 ) )
               => X10 ) ) ) ) ),
    define([status(thm)]) ).

thf(symdiffIneg1,conjecture,
    ( symdiffE
   => ! [A: $i,B: $i,Xx: $i] :
        ( ( in @ Xx @ A )
       => ( ( in @ Xx @ B )
         => ~ ( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
       => ! [X10: $o] :
            ( ( ( in @ X8 @ X4 )
             => ( ~ ( in @ X8 @ X6 )
               => X10 ) )
           => ( ( ~ ( in @ X8 @ X4 )
               => ( ( in @ X8 @ X6 )
                 => X10 ) )
             => X10 ) ) )
   => ! [X12: $i,X14: $i,X16: $i] :
        ( ( in @ X16 @ X12 )
       => ( ( in @ X16 @ X14 )
         => ~ ( in @ X16 @ ( symdiff @ X12 @ X14 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( in @ X8 @ X4 )
               => ( ~ ( in @ X8 @ X6 )
                 => X10 ) )
             => ( ( ~ ( in @ X8 @ X4 )
                 => ( ( in @ X8 @ X6 )
                   => X10 ) )
               => X10 ) ) )
     => ! [X12: $i,X14: $i,X16: $i] :
          ( ( in @ X16 @ X12 )
         => ( ( in @ X16 @ X14 )
           => ~ ( in @ X16 @ ( symdiff @ X12 @ X14 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    in @ sk__6 @ ( symdiff @ sk__4 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $o,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | X2
      | ~ ( in @ X0 @ X3 )
      | ~ ( in @ X0 @ ( symdiff @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $o] :
      ( ~ ( in @ sk__6 @ sk__4 )
      | X0
      | ~ ( in @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    in @ sk__6 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    in @ sk__6 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $o] : X0,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl11,zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU614^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3tnI21KVZt true
% 0.14/0.35  % Computer : n029.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 : Thu Aug 24 01:55:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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 HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % Solved by lams/40_c.s.sh.
% 0.22/0.75  % done 9 iterations in 0.012s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.76  % Terminating...
% 1.49/0.85  % Runner terminated.
% 1.49/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------