%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM523+1 : 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.YwWl7IJ1tZ true

% Computer : n017.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 12:42:05 EDT 2023

% Result   : Theorem 0.55s 0.90s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   50 (  20 unt;   8 typ;   0 def)
%            Number of atoms       :  103 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  295 (  45   ~;  43   |;  13   &; 189   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  23   !;   1   ?;  24   :)

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

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

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

thf(xn_type,type,
    xn: $i ).

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

thf(xm_type,type,
    xm: $i ).

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

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

thf(m__,conjecture,
    ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
    & ( doDivides0 @ xp @ xn ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
      & ( doDivides0 @ xp @ xn ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl80,plain,
    ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
    | ~ ( doDivides0 @ xp @ xn ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(m__3014,axiom,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ) ).

thf(zip_derived_cl78,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ),
    inference(cnf,[status(esa)],[m__3014]) ).

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_cl278,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sdtasdt0 @ xn @ xn ) )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
      | ( doDivides0 @ xp @ X0 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xp ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl51]) ).

thf(m__2987,axiom,
    ( ( xp != sz00 )
    & ( xm != sz00 )
    & ( xn != sz00 )
    & ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl74,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i] :
      ( ( X0
       != ( sdtasdt0 @ xn @ xn ) )
      | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
      | ( doDivides0 @ xp @ X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl74]) ).

thf(zip_derived_cl1243,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xp @ X0 )
      | ( X0
       != ( sdtasdt0 @ xn @ xn ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl290]) ).

thf(zip_derived_cl75,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl75_001,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl1246,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( doDivides0 @ xp @ X0 )
      | ( X0
       != ( sdtasdt0 @ xn @ xn ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1243,zip_derived_cl75,zip_derived_cl75]) ).

thf(zip_derived_cl1251,plain,
    ( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1246]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl78_003,plain,
    ( ( sdtasdt0 @ xp @ ( sdtasdt0 @ xm @ xm ) )
    = ( sdtasdt0 @ xn @ xn ) ),
    inference(cnf,[status(esa)],[m__3014]) ).

thf(zip_derived_cl5_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl95,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) )
    | ~ ( aNaturalNumber0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl5]) ).

thf(zip_derived_cl74_005,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl104,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xm @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl74]) ).

thf(zip_derived_cl105,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xm )
    | ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl104]) ).

thf(zip_derived_cl75_006,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl75_007,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl106,plain,
    aNaturalNumber0 @ ( sdtasdt0 @ xn @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl75,zip_derived_cl75]) ).

thf(zip_derived_cl1252,plain,
    doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl1251,zip_derived_cl106]) ).

thf(zip_derived_cl1255,plain,
    ~ ( doDivides0 @ xp @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl1252]) ).

thf(zip_derived_cl1252_008,plain,
    doDivides0 @ xp @ ( sdtasdt0 @ xn @ xn ),
    inference(demod,[status(thm)],[zip_derived_cl1251,zip_derived_cl106]) ).

thf(mPDP,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( ( isPrime0 @ W2 )
          & ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) )
       => ( ( doDivides0 @ W2 @ W0 )
          | ( doDivides0 @ W2 @ W1 ) ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( doDivides0 @ X2 @ X0 )
      | ( doDivides0 @ X2 @ X1 )
      | ~ ( doDivides0 @ X2 @ ( sdtasdt0 @ X1 @ X0 ) )
      | ~ ( isPrime0 @ X2 ) ),
    inference(cnf,[status(esa)],[mPDP]) ).

thf(zip_derived_cl1263,plain,
    ( ~ ( isPrime0 @ xp )
    | ( doDivides0 @ xp @ xn )
    | ( doDivides0 @ xp @ xn )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xn )
    | ~ ( aNaturalNumber0 @ xn ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1252,zip_derived_cl70]) ).

thf(m__3025,axiom,
    isPrime0 @ xp ).

thf(zip_derived_cl79,plain,
    isPrime0 @ xp,
    inference(cnf,[status(esa)],[m__3025]) ).

thf(zip_derived_cl74_009,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl76,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl76_010,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__2987]) ).

thf(zip_derived_cl1276,plain,
    ( ( doDivides0 @ xp @ xn )
    | ( doDivides0 @ xp @ xn ) ),
    inference(demod,[status(thm)],[zip_derived_cl1263,zip_derived_cl79,zip_derived_cl74,zip_derived_cl76,zip_derived_cl76]) ).

thf(zip_derived_cl1277,plain,
    doDivides0 @ xp @ xn,
    inference(simplify,[status(thm)],[zip_derived_cl1276]) ).

thf(zip_derived_cl1294,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1255,zip_derived_cl1277]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM523+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YwWl7IJ1tZ true
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 12:22:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.51/0.61  % Total configuration time : 435
% 0.51/0.61  % Estimated wc time : 1092
% 0.51/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.90  % Solved by fo/fo5.sh.
% 0.55/0.90  % done 162 iterations in 0.142s
% 0.55/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.90  % SZS output start Refutation
% See solution above
% 0.55/0.90  
% 0.55/0.90  
% 0.55/0.90  % Terminating...
% 0.55/0.98  % Runner terminated.
% 0.55/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------