TSTP Solution File: NUM633+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM633+1 : 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.QtETbX9R4c 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 12:42:54 EDT 2023

% Result   : Theorem 0.61s 1.09s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   39 (  11 unt;  18 typ;   0 def)
%            Number of atoms       :   54 (  11 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  188 (  19   ~;  13   |;  14   &; 136   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   9 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  11   !;   4   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

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

thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

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

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

thf(xc_type,type,
    xc: $i ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

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

thf(xd_type,type,
    xd: $i ).

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

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

thf(xO_type,type,
    xO: $i ).

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

thf(xK_type,type,
    xK: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(sk__25_type,type,
    sk__25: $i > $i > $i ).

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

thf(m__4854,axiom,
    ( ( isCountable0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).

thf(zip_derived_cl191,plain,
    aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT,
    inference(cnf,[status(esa)],[m__4854]) ).

thf(m__4998,axiom,
    aSubsetOf0 @ xO @ xS ).

thf(zip_derived_cl199,plain,
    aSubsetOf0 @ xO @ xS,
    inference(cnf,[status(esa)],[m__4998]) ).

thf(m__,conjecture,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xO @ xK ) )
       => ( ( W0 != slcrc0 )
          & ( aSubsetOf0 @ W0 @ szNzAzT0 )
          & ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
          & ( ( sdtlpdtrp0 @ xc @ W0 )
            = ( szDzizrdt0 @ xd ) ) ) )
   => ? [W0: $i] :
        ( ? [W1: $i] :
            ( ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
               => ( ( sdtlpdtrp0 @ xc @ W2 )
                  = W0 ) )
            & ( isCountable0 @ W1 )
            & ( aSubsetOf0 @ W1 @ xS ) )
        & ( aElementOf0 @ W0 @ xT ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xO @ xK ) )
         => ( ( W0 != slcrc0 )
            & ( aSubsetOf0 @ W0 @ szNzAzT0 )
            & ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
            & ( ( sdtlpdtrp0 @ xc @ W0 )
              = ( szDzizrdt0 @ xd ) ) ) )
     => ? [W0: $i] :
          ( ? [W1: $i] :
              ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
                 => ( ( sdtlpdtrp0 @ xc @ W2 )
                    = W0 ) )
              & ( isCountable0 @ W1 )
              & ( aSubsetOf0 @ W1 @ xS ) )
          & ( aElementOf0 @ W0 @ xT ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl205,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ xS )
      | ~ ( isCountable0 @ X1 )
      | ( aElementOf0 @ ( sk__25 @ X1 @ X2 ) @ ( slbdtsldtrb0 @ X1 @ xK ) )
      | ~ ( aElementOf0 @ X2 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1221,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__25 @ xO @ X0 ) @ ( slbdtsldtrb0 @ xO @ xK ) )
      | ~ ( isCountable0 @ xO ) ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl205]) ).

thf(m__4908,axiom,
    ( ( isCountable0 @ xO )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl194,plain,
    isCountable0 @ xO,
    inference(cnf,[status(esa)],[m__4908]) ).

thf(zip_derived_cl1225,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__25 @ xO @ X0 ) @ ( slbdtsldtrb0 @ xO @ xK ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1221,zip_derived_cl194]) ).

thf(zip_derived_cl1252,plain,
    aElementOf0 @ ( sk__25 @ xO @ ( szDzizrdt0 @ xd ) ) @ ( slbdtsldtrb0 @ xO @ xK ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl1225]) ).

thf(zip_derived_cl203,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xc @ X0 )
        = ( szDzizrdt0 @ xd ) )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xO @ xK ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1347,plain,
    ( ( sdtlpdtrp0 @ xc @ ( sk__25 @ xO @ ( szDzizrdt0 @ xd ) ) )
    = ( szDzizrdt0 @ xd ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl203]) ).

thf(zip_derived_cl204,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ xS )
      | ~ ( isCountable0 @ X1 )
      | ( ( sdtlpdtrp0 @ xc @ ( sk__25 @ X1 @ X2 ) )
       != X2 )
      | ~ ( aElementOf0 @ X2 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1506,plain,
    ( ( ( szDzizrdt0 @ xd )
     != ( szDzizrdt0 @ xd ) )
    | ~ ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT )
    | ~ ( isCountable0 @ xO )
    | ~ ( aSubsetOf0 @ xO @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1347,zip_derived_cl204]) ).

thf(zip_derived_cl191_001,plain,
    aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT,
    inference(cnf,[status(esa)],[m__4854]) ).

thf(zip_derived_cl194_002,plain,
    isCountable0 @ xO,
    inference(cnf,[status(esa)],[m__4908]) ).

thf(zip_derived_cl199_003,plain,
    aSubsetOf0 @ xO @ xS,
    inference(cnf,[status(esa)],[m__4998]) ).

thf(zip_derived_cl1507,plain,
    ( ( szDzizrdt0 @ xd )
   != ( szDzizrdt0 @ xd ) ),
    inference(demod,[status(thm)],[zip_derived_cl1506,zip_derived_cl191,zip_derived_cl194,zip_derived_cl199]) ).

thf(zip_derived_cl1508,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1507]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.17  % Problem  : NUM633+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.18  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QtETbX9R4c true
% 0.18/0.40  % Computer : n026.cluster.edu
% 0.18/0.40  % Model    : x86_64 x86_64
% 0.18/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40  % Memory   : 8042.1875MB
% 0.18/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40  % CPULimit : 300
% 0.18/0.40  % WCLimit  : 300
% 0.18/0.40  % DateTime : Fri Aug 25 12:05:18 EDT 2023
% 0.18/0.40  % CPUTime  : 
% 0.18/0.40  % Running portfolio for 300 s
% 0.18/0.40  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.40  % Number of cores: 8
% 0.18/0.40  % Python version: Python 3.6.8
% 0.18/0.40  % Running in FO mode
% 0.27/0.69  % Total configuration time : 435
% 0.27/0.69  % Estimated wc time : 1092
% 0.27/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/1.09  % Solved by fo/fo5.sh.
% 0.61/1.09  % done 344 iterations in 0.282s
% 0.61/1.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/1.09  % SZS output start Refutation
% See solution above
% 0.61/1.09  
% 0.61/1.09  
% 0.61/1.09  % Terminating...
% 2.08/1.27  % Runner terminated.
% 2.08/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------