TSTP Solution File: NUM590+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM590+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.P9Ugxi32Nq true

% Computer : n004.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 12:42:35 EDT 2023

% Result   : Theorem 1.37s 0.92s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   29 (   6 unt;  16 typ;   0 def)
%            Number of atoms       :   35 (   3 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  125 (   7   ~;   6   |;  10   &;  96   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

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

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

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xY_type,type,
    xY: $i ).

thf(sk__36_type,type,
    sk__36: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

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

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

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

thf(xC_type,type,
    xC: $i ).

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

thf(xN_type,type,
    xN: $i ).

thf(xi_type,type,
    xi: $i ).

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

thf(m__,conjecture,
    ( ( aSubsetOf0 @ xY @ szNzAzT0 )
    | ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xY )
       => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aSubsetOf0 @ xY @ szNzAzT0 )
      | ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xY )
         => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl388,plain,
    aElementOf0 @ sk__36 @ xY,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__4448_02,axiom,
    ( ( xd
      = ( sdtlpdtrp0 @ xC @ xi ) )
    & ( xY
      = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xY )
      <=> ( ( aElement0 @ W0 )
          & ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
          & ( W0
           != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
    & ( aSet0 @ xY )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
       => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
    & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
      | ~ ( aElementOf0 @ X0 @ xY ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl792,plain,
    aElementOf0 @ sk__36 @ ( sdtlpdtrp0 @ xN @ xi ),
    inference('sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl383]) ).

thf(m__3671,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
           => ( aElementOf0 @ W1 @ szNzAzT0 ) )
        & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
        & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
      | ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3671]) ).

thf(zip_derived_cl1171,plain,
    ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( aElementOf0 @ sk__36 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl792,zip_derived_cl234]) ).

thf(m__4448,axiom,
    aElementOf0 @ xi @ szNzAzT0 ).

thf(zip_derived_cl377,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4448]) ).

thf(zip_derived_cl387,plain,
    ~ ( aElementOf0 @ sk__36 @ szNzAzT0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1173,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1171,zip_derived_cl377,zip_derived_cl387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P9Ugxi32Nq true
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 12:43:23 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.82/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.82/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.82/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.37/0.92  % Solved by fo/fo5.sh.
% 1.37/0.92  % done 363 iterations in 0.150s
% 1.37/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.92  % SZS output start Refutation
% See solution above
% 1.37/0.92  
% 1.37/0.92  
% 1.37/0.92  % Terminating...
% 2.13/1.02  % Runner terminated.
% 2.13/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------