TSTP Solution File: RNG125+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG125+4 : 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.fJQNVoEMNB true

% Computer : n011.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 14:07:05 EDT 2023

% Result   : Theorem 1.36s 0.82s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   33 (   8 unt;  13 typ;   0 def)
%            Number of atoms       :   50 (  13 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   98 (  15   ~;  18   |;  10   &;  53   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   2   !;   6   ?;   8   :)

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

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

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

thf(xa_type,type,
    xa: $i ).

thf(sk__40_type,type,
    sk__40: $i ).

thf(sk__41_type,type,
    sk__41: $i ).

thf(zip_tseitin_10_type,type,
    zip_tseitin_10: $o ).

thf(zip_tseitin_11_type,type,
    zip_tseitin_11: $o ).

thf(xu_type,type,
    xu: $i ).

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

thf(xb_type,type,
    xb: $i ).

thf(m__2612,axiom,
    ( ? [W0: $i] :
        ( ( ( sdtasdt0 @ xu @ W0 )
          = xb )
        & ( aElement0 @ W0 ) )
    & ( doDivides0 @ xu @ xb ) ) ).

thf(zip_derived_cl178,plain,
    ( ( sdtasdt0 @ xu @ sk__41 )
    = xb ),
    inference(cnf,[status(esa)],[m__2612]) ).

thf(m__2383,axiom,
    ~ ( ( ( aDivisorOf0 @ xu @ xb )
        | ( doDivides0 @ xu @ xb )
        | ? [W0: $i] :
            ( ( aElement0 @ W0 )
            & ( ( sdtasdt0 @ xu @ W0 )
              = xb ) ) )
      & ( ( aDivisorOf0 @ xu @ xa )
        | ( doDivides0 @ xu @ xa )
        | ? [W0: $i] :
            ( ( aElement0 @ W0 )
            & ( ( sdtasdt0 @ xu @ W0 )
              = xa ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ( ( ? [W0: $i] :
          ( ( ( sdtasdt0 @ xu @ W0 )
            = xb )
          & ( aElement0 @ W0 ) )
      | ( doDivides0 @ xu @ xb )
      | ( aDivisorOf0 @ xu @ xb ) )
   => zip_tseitin_10 ) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( zip_tseitin_10
      | ( ( sdtasdt0 @ xu @ X0 )
       != xb )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( xb != xb )
    | ~ ( aElement0 @ sk__41 )
    | zip_tseitin_10 ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl164]) ).

thf(zip_derived_cl179,plain,
    aElement0 @ sk__41,
    inference(cnf,[status(esa)],[m__2612]) ).

thf(zf_stmt_1,type,
    zip_tseitin_11: $o ).

thf(zf_stmt_2,axiom,
    ( ( ? [W0: $i] :
          ( ( ( sdtasdt0 @ xu @ W0 )
            = xa )
          & ( aElement0 @ W0 ) )
      | ( doDivides0 @ xu @ xa )
      | ( aDivisorOf0 @ xu @ xa ) )
   => zip_tseitin_11 ) ).

thf(zf_stmt_3,type,
    zip_tseitin_10: $o ).

thf(zf_stmt_4,axiom,
    ~ ( zip_tseitin_11
      & zip_tseitin_10 ) ).

thf(zip_derived_cl170,plain,
    ( ~ zip_tseitin_11
    | ~ zip_tseitin_10 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(m__2479,axiom,
    ( ? [W0: $i] :
        ( ( ( sdtasdt0 @ xu @ W0 )
          = xa )
        & ( aElement0 @ W0 ) )
    & ( doDivides0 @ xu @ xa ) ) ).

thf(zip_derived_cl175,plain,
    ( ( sdtasdt0 @ xu @ sk__40 )
    = xa ),
    inference(cnf,[status(esa)],[m__2479]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( zip_tseitin_11
      | ( ( sdtasdt0 @ xu @ X0 )
       != xa )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl187,plain,
    ( ( xa != xa )
    | ~ ( aElement0 @ sk__40 )
    | zip_tseitin_11 ),
    inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl167]) ).

thf(zip_derived_cl188,plain,
    ( zip_tseitin_11
    | ~ ( aElement0 @ sk__40 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl187]) ).

thf(zip_derived_cl176,plain,
    aElement0 @ sk__40,
    inference(cnf,[status(esa)],[m__2479]) ).

thf(zip_derived_cl191,plain,
    zip_tseitin_11,
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl176]) ).

thf(zip_derived_cl192,plain,
    ~ zip_tseitin_10,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl191]) ).

thf(zip_derived_cl218,plain,
    xb != xb,
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl179,zip_derived_cl192]) ).

thf(zip_derived_cl219,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem  : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fJQNVoEMNB true
% 0.15/0.38  % Computer : n011.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 : Sun Aug 27 02:25:24 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
% 0.22/0.38  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.36/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.36/0.82  % Solved by fo/fo7.sh.
% 1.36/0.82  % done 68 iterations in 0.022s
% 1.36/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.82  % SZS output start Refutation
% See solution above
% 1.36/0.82  
% 1.36/0.82  
% 1.36/0.82  % Terminating...
% 1.36/0.87  % Runner terminated.
% 1.36/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------