TSTP Solution File: SEU634^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU634^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MOBABlJzXQ true

% Computer : n003.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 19:15:03 EDT 2023

% Result   : Theorem 0.71s 0.88s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   33 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   74 (  12 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  223 (  10   ~;  11   |;   4   &; 173   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  51   !;   4   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uniqinunit_type,type,
    uniqinunit: $o ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i ).

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

thf(subsetI2_type,type,
    subsetI2: $o ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

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

thf(setunion_type,type,
    setunion: $i > $i ).

thf(emptyset_type,type,
    emptyset: $i ).

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

thf(setunionE2_type,type,
    setunionE2: $o ).

thf(setunionE2,axiom,
    ( setunionE2
    = ( ! [A: $i,Xx: $i] :
          ( ( in @ Xx @ ( setunion @ A ) )
         => ? [X: $i] :
              ( ( in @ Xx @ X )
              & ( in @ X @ A ) ) ) ) ) ).

thf('0',plain,
    ( setunionE2
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( setunion @ X4 ) )
         => ? [X8: $i] :
              ( ( in @ X6 @ X8 )
              & ( in @ X8 @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetI2,axiom,
    ( subsetI2
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('1',plain,
    ( subsetI2
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

thf('2',plain,
    ( uniqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(setunionsingleton1,conjecture,
    ( uniqinunit
   => ( subsetI2
     => ( setunionE2
       => ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
       => ( X4 = X6 ) )
   => ( ! [X8: $i,X10: $i] :
          ( ! [X12: $i] :
              ( ( in @ X12 @ X8 )
             => ( in @ X12 @ X10 ) )
         => ( subset @ X8 @ X10 ) )
     => ( ! [X14: $i,X16: $i] :
            ( ( in @ X16 @ ( setunion @ X14 ) )
           => ? [X18: $i] :
                ( ( in @ X16 @ X18 )
                & ( in @ X18 @ X14 ) ) )
       => ! [X20: $i] : ( subset @ ( setunion @ ( setadjoin @ X20 @ emptyset ) ) @ X20 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) )
     => ( ! [X8: $i,X10: $i] :
            ( ! [X12: $i] :
                ( ( in @ X12 @ X8 )
               => ( in @ X12 @ X10 ) )
           => ( subset @ X8 @ X10 ) )
       => ( ! [X14: $i,X16: $i] :
              ( ( in @ X16 @ ( setunion @ X14 ) )
             => ? [X18: $i] :
                  ( ( in @ X16 @ X18 )
                  & ( in @ X18 @ X14 ) ) )
         => ! [X20: $i] : ( subset @ ( setunion @ ( setadjoin @ X20 @ emptyset ) ) @ X20 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( subset @ ( setunion @ ( setadjoin @ sk__9 @ emptyset ) ) @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X4: $i,X5: $i] :
      ( ( subset @ X4 @ X5 )
      | ~ ( in @ ( sk__8 @ X5 @ X4 ) @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( in @ ( sk__10 @ X2 @ X3 ) @ X3 )
      | ~ ( in @ X2 @ ( setunion @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__10 @ X1 @ ( setadjoin @ X0 @ emptyset ) )
        = X0 )
      | ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i] :
      ( ( in @ X2 @ ( sk__10 @ X2 @ X3 ) )
      | ~ ( in @ X2 @ ( setunion @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) )
      | ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) )
      | ( in @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i,X5: $i] :
      ( ( subset @ X4 @ X5 )
      | ( in @ ( sk__8 @ X5 @ X4 ) @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__8 @ X1 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) @ X0 )
      | ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl5]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 )
      | ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl39]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] : ( subset @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl72,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU634^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MOBABlJzXQ true
% 0.15/0.36  % Computer : n003.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 : Wed Aug 23 12:38:07 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.74  % Total configuration time : 828
% 0.23/0.74  % Estimated wc time : 1656
% 0.23/0.74  % Estimated cpu time (8 cpus) : 207.0
% 0.67/0.82  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.67/0.83  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.67/0.83  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.67/0.83  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.67/0.83  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.67/0.83  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.71/0.88  % Solved by lams/40_c.s.sh.
% 0.71/0.88  % done 24 iterations in 0.033s
% 0.71/0.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.71/0.88  % SZS output start Refutation
% See solution above
% 0.71/0.88  
% 0.71/0.88  
% 0.71/0.89  % Terminating...
% 0.71/0.89  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.99/0.94  % Runner terminated.
% 2.01/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------