TSTP Solution File: NUM482+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM482+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jFZKabLxiU true

% Computer : n018.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 12:41:46 EDT 2023

% Result   : Theorem 1.15s 0.83s
% Output   : Refutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   50 (  11 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  107 (  21   ~;  16   |;   8   &;  57   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  10   !;   3   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
    aNaturalNumber0: $i > $o ).

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

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

thf(isPrime0_type,type,
    isPrime0: $i > $o ).

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

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

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

thf(m__1716,axiom,
    aNaturalNumber0 @ xk ).

thf(zip_derived_cl67,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__1716]) ).

thf(m_MulUnit,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz10 )
          = W0 )
        & ( W0
          = ( sdtasdt0 @ sz10 @ W0 ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz10 )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_MulUnit]) ).

thf(zip_derived_cl99,plain,
    ( ( sdtasdt0 @ xk @ sz10 )
    = xk ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl12]) ).

thf(mDefDiv,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( doDivides0 @ W0 @ W1 )
      <=> ? [W2: $i] :
            ( ( W1
              = ( sdtasdt0 @ W0 @ W2 ) )
            & ( aNaturalNumber0 @ W2 ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( doDivides0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( X1
       != ( sdtasdt0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ( ( X0 != xk )
      | ~ ( aNaturalNumber0 @ sz10 )
      | ( doDivides0 @ xk @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl51]) ).

thf(mSortsC_01,axiom,
    ( ( sz10 != sz00 )
    & ( aNaturalNumber0 @ sz10 ) ) ).

thf(zip_derived_cl3,plain,
    aNaturalNumber0 @ sz10,
    inference(cnf,[status(esa)],[mSortsC_01]) ).

thf(zip_derived_cl67_001,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__1716]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ( X0 != xk )
      | ( doDivides0 @ xk @ X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl3,zip_derived_cl67]) ).

thf(m__,conjecture,
    ( ( isPrime0 @ xk )
   => ? [W0: $i] :
        ( ( isPrime0 @ W0 )
        & ( doDivides0 @ W0 @ xk )
        & ( aNaturalNumber0 @ W0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( isPrime0 @ xk )
     => ? [W0: $i] :
          ( ( isPrime0 @ W0 )
          & ( doDivides0 @ W0 @ xk )
          & ( aNaturalNumber0 @ W0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ~ ( isPrime0 @ X0 )
      | ~ ( doDivides0 @ X0 @ xk )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl464,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk != xk )
    | ~ ( aNaturalNumber0 @ xk )
    | ~ ( isPrime0 @ xk ) ),
    inference('sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl74]) ).

thf(zip_derived_cl67_002,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__1716]) ).

thf(zip_derived_cl67_003,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__1716]) ).

thf(zip_derived_cl73,plain,
    isPrime0 @ xk,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl470,plain,
    xk != xk,
    inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl67,zip_derived_cl67,zip_derived_cl73]) ).

thf(zip_derived_cl471,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl470]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM482+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jFZKabLxiU true
% 0.15/0.35  % Computer : n018.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 15:10:44 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/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
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.83  % Solved by fo/fo7.sh.
% 1.15/0.83  % done 155 iterations in 0.049s
% 1.15/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/0.83  % SZS output start Refutation
% See solution above
% 1.15/0.83  
% 1.15/0.83  
% 1.15/0.83  % Terminating...
% 1.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------