TSTP Solution File: SEU758^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU758^2 : 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.mE3elU25YH true

% Computer : n026.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 19:17:07 EDT 2023

% Result   : Theorem 0.93s 0.79s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   25 (  10 unt;   9 typ;   0 def)
%            Number of atoms       :   55 (   4 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  155 (   6   ~;   4   |;   0   &; 118   @)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   43 (   0   ^;  43   !;   0   ?;  43   :)

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(powersetE_type,type,
    powersetE: $o ).

thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

thf(binintersectEL_type,type,
    binintersectEL: $o ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(binintersectEL,axiom,
    ( binintersectEL
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( binintersect @ A @ B ) )
         => ( in @ Xx @ A ) ) ) ) ).

thf('0',plain,
    ( binintersectEL
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) )
         => ( in @ X8 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(powersetE,axiom,
    ( powersetE
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ B @ ( powerset @ A ) )
         => ( ( in @ Xx @ B )
           => ( in @ Xx @ A ) ) ) ) ) ).

thf('1',plain,
    ( powersetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(woz13rule0,conjecture,
    ( powersetE
   => ( binintersectEL
     => ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Xx: $i] :
                  ( ( in @ Xx @ ( binintersect @ X @ Y ) )
                 => ( in @ Xx @ A ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X6 @ ( powerset @ X4 ) )
       => ( ( in @ X8 @ X6 )
         => ( in @ X8 @ X4 ) ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
         => ( in @ X14 @ X10 ) )
     => ! [X16: $i,X18: $i] :
          ( ( in @ X18 @ ( powerset @ X16 ) )
         => ! [X20: $i] :
              ( ( in @ X20 @ ( powerset @ X16 ) )
             => ! [X22: $i] :
                  ( ( in @ X22 @ ( binintersect @ X18 @ X20 ) )
                 => ( in @ X22 @ X16 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ X4 ) ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( in @ X14 @ ( binintersect @ X10 @ X12 ) )
           => ( in @ X14 @ X10 ) )
       => ! [X16: $i,X18: $i] :
            ( ( in @ X18 @ ( powerset @ X16 ) )
           => ! [X20: $i] :
                ( ( in @ X20 @ ( powerset @ X16 ) )
               => ! [X22: $i] :
                    ( ( in @ X22 @ ( binintersect @ X18 @ X20 ) )
                   => ( in @ X22 @ X16 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( in @ sk__9 @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__7 @ ( powerset @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( powerset @ X1 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ( in @ X0 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    in @ sk__9 @ ( binintersect @ sk__7 @ sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( in @ X3 @ X4 )
      | ~ ( in @ X3 @ ( binintersect @ X4 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    in @ sk__9 @ sk__7,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    in @ sk__9 @ sk__6,
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU758^2 : 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.mE3elU25YH true
% 0.14/0.35  % Computer : n026.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 : Wed Aug 23 20:53:17 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
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.93/0.79  % Solved by lams/40_c.s.sh.
% 0.93/0.79  % done 10 iterations in 0.011s
% 0.93/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/0.79  % SZS output start Refutation
% See solution above
% 0.93/0.79  
% 0.93/0.79  
% 0.93/0.79  % Terminating...
% 1.70/0.86  % Runner terminated.
% 1.70/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------