TSTP Solution File: NUM600+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM600+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.fqYAjZTZba true

% Computer : n015.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 12:42:39 EDT 2023

% Result   : Theorem 1.05s 0.79s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   37 (   7 unt;  21 typ;   0 def)
%            Number of atoms       :   48 (  16 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  190 (  13   ~;  11   |;  15   &; 145   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  11 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;   9   !;   4   ?;  13   :)

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

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(xe_type,type,
    xe: $i ).

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

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

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

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

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

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

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

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

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

thf(sk__4_type,type,
    sk__4: $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(sk__5_type,type,
    sk__5: $i ).

thf(m__,conjecture,
    ! [W0: $i] :
      ( ( ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 )
            & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
        & ( aElementOf0 @ W0 @ xO ) )
     => ? [W1: $i] :
          ( ( ( sdtlpdtrp0 @ xe @ W1 )
            = W0 )
          & ( ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
            | ( ( sdtlpdtrp0 @ xd @ W1 )
              = ( szDzizrdt0 @ xd ) ) )
          & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [W0: $i] :
        ( ( ? [W1: $i] :
              ( ( ( sdtlpdtrp0 @ xe @ W1 )
                = W0 )
              & ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
          & ( aElementOf0 @ W0 @ xO ) )
       => ? [W1: $i] :
            ( ( ( sdtlpdtrp0 @ xe @ W1 )
              = W0 )
            & ( ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
              | ( ( sdtlpdtrp0 @ xd @ W1 )
                = ( szDzizrdt0 @ xd ) ) )
            & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl45,plain,
    aElementOf0 @ sk__5 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X0 )
       != sk__4 )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl17,plain,
    ( ( szDzozmdt0 @ xd )
    = szNzAzT0 ),
    inference(cnf,[status(esa)],[m__4730]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xe @ X0 )
       != sk__4 )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      | ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xd ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl17]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( aElementOf0 @ sk__5 @ ( szDzozmdt0 @ xd ) )
    | ( ( sdtlpdtrp0 @ xe @ sk__5 )
     != sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl53]) ).

thf(zip_derived_cl44,plain,
    ( ( sdtlpdtrp0 @ xe @ sk__5 )
    = sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ( ~ ( aElementOf0 @ sk__5 @ ( szDzozmdt0 @ xd ) )
    | ( sk__4 != sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl44]) ).

thf(zip_derived_cl56,plain,
    ~ ( aElementOf0 @ sk__5 @ ( szDzozmdt0 @ xd ) ),
    inference(simplify,[status(thm)],[zip_derived_cl55]) ).

thf(m__4854,axiom,
    ( ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
      <=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
          & ( ( sdtlpdtrp0 @ xd @ W0 )
            = ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
    & ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xd ) )
      | ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
    inference(cnf,[status(esa)],[m__4854]) ).

thf(zip_derived_cl45_001,plain,
    aElementOf0 @ sk__5 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    aElementOf0 @ sk__5 @ ( szDzozmdt0 @ xd ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl45]) ).

thf(zip_derived_cl71,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl66]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM600+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.fqYAjZTZba true
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 12:38:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.79  % Solved by fo/fo4.sh.
% 1.05/0.79  % done 32 iterations in 0.022s
% 1.05/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/0.79  % SZS output start Refutation
% See solution above
% 1.05/0.79  
% 1.05/0.79  
% 1.05/0.79  % Terminating...
% 1.05/0.83  % Runner terminated.
% 1.50/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------