TSTP Solution File: SEU594^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU594^2 : 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.5NzQrhUFIr true

% Computer : n008.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 19:14:18 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   32 (  13 unt;  10 typ;   0 def)
%            Number of atoms       :   85 (  21 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  186 (   6   ~;   6   |;   0   &; 138   @)
%                                         (   4 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   70 (  15   ^;  55   !;   0   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

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

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

thf(subsetI1_type,type,
    subsetI1: $o ).

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

thf(in__Cong_type,type,
    in__Cong: $o ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(binintersect_type,type,
    binintersect: $i > $i > $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(binintersect,axiom,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).

thf('1',plain,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[binintersect]) ).

thf('2',plain,
    ( binintersect
    = ( ^ [V_1: $i,V_2: $i] :
          ( dsetconstr @ V_1
          @ ^ [V_3: $i] : ( in @ V_3 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(subsetI1,axiom,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('3',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(in__Cong,axiom,
    ( in__Cong
    = ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ! [Xx: $i,Xy: $i] :
              ( ( Xx = Xy )
             => ( ( in @ Xx @ A )
              <=> ( in @ Xy @ B ) ) ) ) ) ) ).

thf('4',plain,
    ( in__Cong
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ! [X8: $i,X10: $i] :
              ( ( X8 = X10 )
             => ( ( in @ X8 @ X4 )
              <=> ( in @ X10 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(binintersectSubset3,conjecture,
    ( in__Cong
   => ( subsetI1
     => ( binintersectEL
       => ! [A: $i,B: $i] :
            ( ( ( binintersect @ A @ B )
              = B )
           => ( subset @ B @ A ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ( X4 = X6 )
       => ! [X8: $i,X10: $i] :
            ( ( X8 = X10 )
           => ( ( in @ X8 @ X4 )
            <=> ( in @ X10 @ X6 ) ) ) )
   => ( ! [X12: $i,X14: $i] :
          ( ! [X16: $i] :
              ( ( in @ X16 @ X12 )
             => ( in @ X16 @ X14 ) )
         => ( subset @ X12 @ X14 ) )
     => ( ! [X18: $i,X20: $i,X22: $i] :
            ( ( in @ X22
              @ ( dsetconstr @ X18
                @ ^ [V_1: $i] : ( in @ V_1 @ X20 ) ) )
           => ( in @ X22 @ X18 ) )
       => ! [X24: $i,X26: $i] :
            ( ( ( dsetconstr @ X24
                @ ^ [V_2: $i] : ( in @ V_2 @ X26 ) )
              = X26 )
           => ( subset @ X26 @ X24 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ! [X8: $i,X10: $i] :
              ( ( X8 = X10 )
             => ( ( in @ X8 @ X4 )
              <=> ( in @ X10 @ X6 ) ) ) )
     => ( ! [X12: $i,X14: $i] :
            ( ! [X16: $i] :
                ( ( in @ X16 @ X12 )
               => ( in @ X16 @ X14 ) )
           => ( subset @ X12 @ X14 ) )
       => ( ! [X18: $i,X20: $i,X22: $i] :
              ( ( in @ X22
                @ ( dsetconstr @ X18
                  @ ^ [V_1: $i] : ( in @ V_1 @ X20 ) ) )
             => ( in @ X22 @ X18 ) )
         => ! [X24: $i,X26: $i] :
              ( ( ( dsetconstr @ X24
                  @ ^ [V_2: $i] : ( in @ V_2 @ X26 ) )
                = X26 )
             => ( subset @ X26 @ X24 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( subset @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X7: $i,X8: $i] :
      ( ( subset @ X7 @ X8 )
      | ( in @ ( sk__10 @ X8 @ X7 ) @ X7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ( ( dsetconstr @ sk__11
      @ ^ [Y0: $i] : ( in @ Y0 @ sk__12 ) )
    = sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( in @ X4 @ X5 )
      | ~ ( in @ X4
          @ ( dsetconstr @ X5
            @ ^ [Y0: $i] : ( in @ Y0 @ X6 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ( in @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X7: $i,X8: $i] :
      ( ( subset @ X7 @ X8 )
      | ~ ( in @ ( sk__10 @ X8 @ X7 ) @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__10 @ sk__11 @ X0 ) @ sk__12 )
      | ( subset @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).

thf(zip_derived_cl22,plain,
    ( ( subset @ sk__12 @ sk__11 )
    | ( subset @ sk__12 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    subset @ sk__12 @ sk__11,
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl29,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU594^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5NzQrhUFIr true
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 15:01:33 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % Solved by lams/40_c.s.sh.
% 0.21/0.76  % done 11 iterations in 0.011s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.54/0.85  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------