TSTP Solution File: NUM568+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM568+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.uTWfrj4gn1 true

% Computer : n029.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 12:42:26 EDT 2023

% Result   : Theorem 1.44s 0.91s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :   31 (  17 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   63 (  10   ~;   8   |;   3   &;  41   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   4   !;   3   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i > $i ).

thf(sz00_type,type,
    sz00: $i ).

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

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

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

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

thf(m__3418,axiom,
    aElementOf0 @ xK @ szNzAzT0 ).

thf(zip_derived_cl11,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(mNatExtra,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( W0 = sz00 )
        | ? [W1: $i] :
            ( ( W0
              = ( szszuzczcdt0 @ W1 ) )
            & ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk_ @ X0 ) @ szNzAzT0 )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNatExtra]) ).

thf(zip_derived_cl124,plain,
    ( ( xK = sz00 )
    | ( aElementOf0 @ ( sk_ @ xK ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).

thf(m__3462,axiom,
    xK != sz00 ).

thf(zip_derived_cl12,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl125,plain,
    aElementOf0 @ ( sk_ @ xK ) @ szNzAzT0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl124,zip_derived_cl12]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( szszuzczcdt0 @ W0 )
        = xK )
      & ( aElementOf0 @ W0 @ szNzAzT0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( szszuzczcdt0 @ W0 )
          = xK )
        & ( aElementOf0 @ W0 @ szNzAzT0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ X0 )
       != xK )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ( ( szszuzczcdt0 @ ( sk_ @ xK ) )
   != xK ),
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl14]) ).

thf(zip_derived_cl11_001,plain,
    aElementOf0 @ xK @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3418]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( X0
        = ( szszuzczcdt0 @ ( sk_ @ X0 ) ) )
      | ( X0 = sz00 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[mNatExtra]) ).

thf(zip_derived_cl115,plain,
    ( ( xK = sz00 )
    | ( xK
      = ( szszuzczcdt0 @ ( sk_ @ xK ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).

thf(zip_derived_cl12_002,plain,
    xK != sz00,
    inference(cnf,[status(esa)],[m__3462]) ).

thf(zip_derived_cl116,plain,
    ( xK
    = ( szszuzczcdt0 @ ( sk_ @ xK ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl115,zip_derived_cl12]) ).

thf(zip_derived_cl186,plain,
    xK != xK,
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl116]) ).

thf(zip_derived_cl187,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl186]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uTWfrj4gn1 true
% 0.15/0.38  % Computer : n029.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Fri Aug 25 15:43:54 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 0.15/0.38  % Running portfolio for 300 s
% 0.15/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.72  % Total configuration time : 435
% 0.23/0.72  % Estimated wc time : 1092
% 0.23/0.72  % Estimated cpu time (7 cpus) : 156.0
% 1.25/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.25/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.44/0.91  % Solved by fo/fo4.sh.
% 1.44/0.91  % done 37 iterations in 0.051s
% 1.44/0.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.44/0.91  % SZS output start Refutation
% See solution above
% 1.44/0.91  
% 1.44/0.91  
% 1.44/0.91  % Terminating...
% 1.82/1.02  % Runner terminated.
% 1.96/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------