TSTP Solution File: NUM456+6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM456+6 : 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.RcTO3KaE9N true

% Computer : n006.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 12:41:34 EDT 2023

% Result   : Theorem 1.30s 0.86s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   30 (   5 unt;  19 typ;   0 def)
%            Number of atoms       :   60 (  15 equ;   0 cnn)
%            Maximal formula atoms :   26 (   5 avg)
%            Number of connectives :  204 (   8   ~;   9   |;  32   &; 147   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   8 con; 0-3 aty)
%            Number of variables   :   15 (   0   ^;   9   !;   6   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(aInteger0_type,type,
    aInteger0: $i > $o ).

thf(sz10_type,type,
    sz10: $i ).

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

thf(xp_type,type,
    xp: $i ).

thf(cS2076_type,type,
    cS2076: $i ).

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

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(sbsmnsldt0_type,type,
    sbsmnsldt0: $i > $i ).

thf(szAzrzSzezqlpdtcmdtrp0_type,type,
    szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).

thf(stldt0_type,type,
    stldt0: $i > $i ).

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

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

thf(aDivisorOf0_type,type,
    aDivisorOf0: $i > $i > $o ).

thf(sdteqdtlpzmzozddtrp0_type,type,
    sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

thf(cS2200_type,type,
    cS2200: $i ).

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

thf(m__2203,axiom,
    ? [W0: $i] :
      ( ~ ( ( W0 = sz10 )
          | ( W0
            = ( smndt0 @ sz10 ) )
          | ( aElementOf0 @ W0 @ cS2200 ) )
      & ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
      & ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp )
      & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
      & ? [W1: $i] :
          ( ( ( sdtasdt0 @ xp @ W1 )
            = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
          & ( aInteger0 @ W1 ) )
      & ( aInteger0 @ W0 ) ) ).

thf(zip_derived_cl218,plain,
    aElementOf0 @ sk__26 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ),
    inference(cnf,[status(esa)],[m__2203]) ).

thf(m__2171,axiom,
    ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
       => ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
      <=> ( ( aInteger0 @ W0 )
          & ? [W1: $i] :
              ( ( aElementOf0 @ W0 @ W1 )
              & ( aElementOf0 @ W1 @ xS ) ) ) )
    & ( aSet0 @ ( sbsmnsldt0 @ xS ) )
    & ! [W0: $i] :
        ( ( ( ( aInteger0 @ W0 )
            & ( ? [W1: $i] :
                  ( ( ( sdtasdt0 @ xp @ W1 )
                    = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                  & ( aInteger0 @ W1 ) )
              | ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
              | ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) )
         => ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) )
        & ( ( aElementOf0 @ W0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
         => ( ( aInteger0 @ W0 )
            & ? [W1: $i] :
                ( ( ( sdtasdt0 @ xp @ W1 )
                  = ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
                & ( aInteger0 @ W1 ) )
            & ( aDivisorOf0 @ xp @ ( sdtpldt0 @ W0 @ ( smndt0 @ sz10 ) ) )
            & ( sdteqdtlpzmzozddtrp0 @ W0 @ sz10 @ xp ) ) ) )
    & ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) )
    & ( xp != sz00 )
    & ( aInteger0 @ xp ) ) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      | ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ xp ) ) ),
    inference(cnf,[status(esa)],[m__2171]) ).

thf(zip_derived_cl442,plain,
    aElementOf0 @ sk__26 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl211]) ).

thf(m__2079,axiom,
    ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
      = cS2076 )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( W0 = sz10 )
          | ( W0
            = ( smndt0 @ sz10 ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
      <=> ( ( aInteger0 @ W0 )
          & ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
    & ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
      <=> ( ( aInteger0 @ W0 )
          & ? [W1: $i] :
              ( ( aElementOf0 @ W0 @ W1 )
              & ( aElementOf0 @ W1 @ xS ) ) ) )
    & ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( ( X0
        = ( smndt0 @ sz10 ) )
      | ( X0 = sz10 )
      | ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
    inference(cnf,[status(esa)],[m__2079]) ).

thf(zip_derived_cl446,plain,
    ( ( sk__26 = sz10 )
    | ( sk__26
      = ( smndt0 @ sz10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl146]) ).

thf(zip_derived_cl220,plain,
    ( sk__26
   != ( smndt0 @ sz10 ) ),
    inference(cnf,[status(esa)],[m__2203]) ).

thf(zip_derived_cl219,plain,
    sk__26 != sz10,
    inference(cnf,[status(esa)],[m__2203]) ).

thf(zip_derived_cl450,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl446,zip_derived_cl220,zip_derived_cl219]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM456+6 : 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.RcTO3KaE9N true
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 16:14:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.86  % Solved by fo/fo7.sh.
% 1.30/0.86  % done 191 iterations in 0.078s
% 1.30/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.86  % SZS output start Refutation
% See solution above
% 1.30/0.86  
% 1.30/0.86  
% 1.30/0.86  % Terminating...
% 1.81/0.94  % Runner terminated.
% 1.85/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------