TSTP Solution File: NUM552+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LhXCnkbYCl true

% Computer : n013.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 12:42:19 EDT 2023

% Result   : Theorem 1.10s 0.81s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :   84 (  13 equ;   0 cnn)
%            Maximal formula atoms :   43 (   4 avg)
%            Number of connectives :  269 (  19   ~;  19   |;  28   &; 186   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  22   !;   1   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(xQ_type,type,
    xQ: $i ).

thf(xx_type,type,
    xx: $i ).

thf(xk_type,type,
    xk: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(xT_type,type,
    xT: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(slcrc0_type,type,
    slcrc0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xS_type,type,
    xS: $i ).

thf(m__,conjecture,
    ( ( aElementOf0 @ xx @ xQ )
   => ( aElementOf0 @ xx @ xT ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ xx @ xQ )
     => ( aElementOf0 @ xx @ xT ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl40,plain,
    ~ ( aElementOf0 @ xx @ xT ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2227,axiom,
    ( ~ ( ! [W0: $i] :
            ( ( ( ( ( ( aSet0 @ W0 )
                    & ! [W1: $i] :
                        ( ( aElementOf0 @ W1 @ W0 )
                       => ( aElementOf0 @ W1 @ xS ) ) )
                  | ( aSubsetOf0 @ W0 @ xS ) )
                & ( ( sbrdtbr0 @ W0 )
                  = xk ) )
             => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
            & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
             => ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xS ) )
                & ( aSubsetOf0 @ W0 @ xS )
                & ( ( sbrdtbr0 @ W0 )
                  = xk ) ) ) )
       => ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
          | ( ( slbdtsldtrb0 @ xS @ xk )
            = slcrc0 ) ) )
    & ( aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
       => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xT ) ) )
              | ( aSubsetOf0 @ W0 @ xT ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) )
         => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) ) )
        & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xT @ xk ) )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xT ) )
            & ( aSubsetOf0 @ W0 @ xT )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) ) ) )
    & ( aSet0 @ ( slbdtsldtrb0 @ xT @ xk ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xS ) ) )
              | ( aSubsetOf0 @ W0 @ xS ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) )
         => ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) ) )
        & ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ xk ) )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ xS ) )
            & ( aSubsetOf0 @ W0 @ xS )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) ) ) )
    & ( aSet0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) ) ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) ) ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xS @ xk ) )
      | ( aSubsetOf0 @ X0 @ xT ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl17]) ).

thf(m__2270,axiom,
    ( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) )
    & ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( aSubsetOf0 @ xQ @ xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ xS ) )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl35,plain,
    aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ),
    inference(cnf,[status(esa)],[m__2270]) ).

thf(zip_derived_cl144,plain,
    aSubsetOf0 @ xQ @ xT,
    inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl35]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xT @ xk ) )
      | ( ( sbrdtbr0 @ X0 )
       != xk )
      | ~ ( aSubsetOf0 @ X0 @ xT ) ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X1 @ ( slbdtsldtrb0 @ xT @ xk ) ) ),
    inference(cnf,[status(esa)],[m__2227]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ X0 )
       != xk )
      | ( aElementOf0 @ X1 @ xT )
      | ~ ( aElementOf0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl16]) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ( aElementOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ xQ )
       != xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl112]) ).

thf(zip_derived_cl34,plain,
    ( ( sbrdtbr0 @ xQ )
    = xk ),
    inference(cnf,[status(esa)],[m__2270]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ( aElementOf0 @ X0 @ xT )
      | ( xk != xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl34]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ xQ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl235]) ).

thf(zip_derived_cl39,plain,
    aElementOf0 @ xx @ xQ,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl239,plain,
    aElementOf0 @ xx @ xT,
    inference('sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl39]) ).

thf(zip_derived_cl249,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl239]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LhXCnkbYCl true
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 08:55:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.81  % Solved by fo/fo4.sh.
% 1.10/0.81  % done 100 iterations in 0.033s
% 1.10/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.81  % SZS output start Refutation
% See solution above
% 1.10/0.81  
% 1.10/0.81  
% 1.10/0.81  % Terminating...
% 1.10/0.85  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------