TSTP Solution File: NUM595+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM595+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.xVhRmukzxv true

% Computer : n021.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 12:42:37 EDT 2023

% Result   : Theorem 131.92s 19.45s
% Output   : Refutation 131.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   55 (  21 unt;  20 typ;   0 def)
%            Number of atoms       :   87 (  28 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  300 (  22   ~;  25   |;  17   &; 226   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  11 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  17   !;   2   ?;  19   :)

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

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

thf(aFunction0_type,type,
    aFunction0: $i > $o ).

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

thf(sk__39_type,type,
    sk__39: $i > $i ).

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

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

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

thf(sk__44_type,type,
    sk__44: $i ).

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

thf(xX_type,type,
    xX: $i ).

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

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

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

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

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

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

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

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

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

thf(m__4806,axiom,
    ( ( ( sdtlpdtrp0 @ xd @ xi )
      = xx )
    & ( aElementOf0 @ xi @ szNzAzT0 ) ) ).

thf(zip_derived_cl416,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(m__4618,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ? [W1: $i] :
          ( ! [W2: $i] :
              ( ( ( aSet0 @ W2 )
                & ( ( ( ! [W3: $i] :
                          ( ( aElementOf0 @ W3 @ W2 )
                         => ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                      | ( aSubsetOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                    & ( ( sbrdtbr0 @ W2 )
                      = xk ) )
                  | ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) ) )
             => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W2 )
                = W1 ) )
          & ( aElementOf0 @ W1 @ xT ) ) ) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__39 @ X0 ) @ xT )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4618]) ).

thf(zip_derived_cl570,plain,
    aElementOf0 @ ( sk__39 @ xi ) @ xT,
    inference('sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl396]) ).

thf(m__4826,axiom,
    ( ? [W0: $i] : ( aElementOf0 @ W0 @ xX )
    & ( xX
      = ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) @ xk ) )
    & ! [W0: $i] :
        ( ( ( ( ( ( aSet0 @ W0 )
                & ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) ) )
              | ( aSubsetOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) )
         => ( aElementOf0 @ W0 @ xX ) )
        & ( ( aElementOf0 @ W0 @ xX )
         => ( ( aSet0 @ W0 )
            & ! [W1: $i] :
                ( ( aElementOf0 @ W1 @ W0 )
               => ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) ) )
            & ( aSubsetOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) )
            & ( ( sbrdtbr0 @ W0 )
              = xk ) ) ) )
    & ( aSet0 @ xX ) ) ).

thf(zip_derived_cl426,plain,
    aElementOf0 @ sk__44 @ xX,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ) )
      | ~ ( aElementOf0 @ X0 @ xX ) ),
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl1460,plain,
    aSubsetOf0 @ sk__44 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl423]) ).

thf(zip_derived_cl392,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aSubsetOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
      | ( ( sbrdtbr0 @ X0 )
       != xk )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 )
        = ( sk__39 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4618]) ).

thf(zip_derived_cl17046,plain,
    ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 )
      = ( sk__39 @ xi ) )
    | ( ( sbrdtbr0 @ sk__44 )
     != xk )
    | ~ ( aSet0 @ sk__44 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl392]) ).

thf(zip_derived_cl416_001,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl426_002,plain,
    aElementOf0 @ sk__44 @ xX,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl424,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = xk )
      | ~ ( aElementOf0 @ X0 @ xX ) ),
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl595,plain,
    ( ( sbrdtbr0 @ sk__44 )
    = xk ),
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).

thf(zip_derived_cl426_003,plain,
    aElementOf0 @ sk__44 @ xX,
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ~ ( aElementOf0 @ X0 @ xX ) ),
    inference(cnf,[status(esa)],[m__4826]) ).

thf(zip_derived_cl480,plain,
    aSet0 @ sk__44,
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl421]) ).

thf(zip_derived_cl17056,plain,
    ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 )
      = ( sk__39 @ xi ) )
    | ( xk != xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl17046,zip_derived_cl416,zip_derived_cl595,zip_derived_cl480]) ).

thf(zip_derived_cl17057,plain,
    ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 )
    = ( sk__39 @ xi ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17056]) ).

thf(zip_derived_cl1460_004,plain,
    aSubsetOf0 @ sk__44 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xi ) ),
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl423]) ).

thf(m__4730,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ szNzAzT0 )
       => ! [W1: $i] :
            ( ( ( aSet0 @ W1 )
              & ( ( ( ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ W1 )
                       => ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                    | ( aSubsetOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
                  & ( ( sbrdtbr0 @ W1 )
                    = xk ) )
                | ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) ) )
           => ( ( sdtlpdtrp0 @ xd @ W0 )
              = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) )
    & ( ( szDzozmdt0 @ xd )
      = szNzAzT0 )
    & ( aFunction0 @ xd ) ) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( ( sbrdtbr0 @ X0 )
       != xk )
      | ~ ( aSubsetOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ X1 ) ) )
      | ( ( sdtlpdtrp0 @ xd @ X1 )
        = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 ) )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl17047,plain,
    ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( ( sdtlpdtrp0 @ xd @ xi )
      = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 ) )
    | ( ( sbrdtbr0 @ sk__44 )
     != xk )
    | ~ ( aSet0 @ sk__44 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl407]) ).

thf(zip_derived_cl416_005,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl415,plain,
    ( ( sdtlpdtrp0 @ xd @ xi )
    = xx ),
    inference(cnf,[status(esa)],[m__4806]) ).

thf(zip_derived_cl595_006,plain,
    ( ( sbrdtbr0 @ sk__44 )
    = xk ),
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl424]) ).

thf(zip_derived_cl480_007,plain,
    aSet0 @ sk__44,
    inference('sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl421]) ).

thf(zip_derived_cl17058,plain,
    ( ( xx
      = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 ) )
    | ( xk != xk ) ),
    inference(demod,[status(thm)],[zip_derived_cl17047,zip_derived_cl416,zip_derived_cl415,zip_derived_cl595,zip_derived_cl480]) ).

thf(zip_derived_cl17059,plain,
    ( xx
    = ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ sk__44 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17058]) ).

thf(zip_derived_cl103204,plain,
    ( xx
    = ( sk__39 @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl17057,zip_derived_cl17059]) ).

thf(m__,conjecture,
    aElementOf0 @ xx @ xT ).

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

thf(zip_derived_cl427,plain,
    ~ ( aElementOf0 @ xx @ xT ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103205,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl103204,zip_derived_cl427]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM595+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xVhRmukzxv true
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 15:26:26 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 131.92/19.45  % Solved by fo/fo5.sh.
% 131.92/19.45  % done 14334 iterations in 18.672s
% 131.92/19.45  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 131.92/19.45  % SZS output start Refutation
% See solution above
% 131.92/19.45  
% 131.92/19.45  
% 131.92/19.45  % Terminating...
% 131.92/19.50  % Runner terminated.
% 131.92/19.51  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------