%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM500+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.6Azg1aIFRd true

% Computer : n013.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 12:41:55 EDT 2023

% Result   : Theorem 1.90s 0.88s
% Output   : Refutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  11 unt;  12 typ;   0 def)
%            Number of atoms       :   86 (  42 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  169 (  32   ~;  34   |;  22   &;  78   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;   7   !;   7   ?;  14   :)

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

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

thf(sdtsldt0_type,type,
    sdtsldt0: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $i ).

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

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

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

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

thf(mPrimDiv,axiom,
    ! [W0: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( W0 != sz00 )
        & ( W0 != sz10 ) )
     => ? [W1: $i] :
          ( ( isPrime0 @ W1 )
          & ( doDivides0 @ W1 @ W0 )
          & ( aNaturalNumber0 @ W1 ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( isPrime0 @ ( sk__3 @ X0 ) )
      | ( X0 = sz10 )
      | ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mPrimDiv]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ( aNaturalNumber0 @ ( sk__3 @ X0 ) )
      | ( X0 = sz10 )
      | ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mPrimDiv]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( doDivides0 @ ( sk__3 @ X0 ) @ X0 )
      | ( X0 = sz10 )
      | ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mPrimDiv]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( ( isPrime0 @ W0 )
        | ( ! [W1: $i] :
              ( ( ( aNaturalNumber0 @ W1 )
                & ? [W2: $i] :
                    ( ( W0
                      = ( sdtasdt0 @ W1 @ W2 ) )
                    & ( aNaturalNumber0 @ W2 ) )
                & ( doDivides0 @ W1 @ W0 ) )
             => ( ( W1 = sz10 )
                | ( W1 = W0 ) ) )
          & ( W0 != sz10 )
          & ( W0 != sz00 ) ) )
      & ( ( doDivides0 @ W0 @ xk )
        | ? [W1: $i] :
            ( ( xk
              = ( sdtasdt0 @ W0 @ W1 ) )
            & ( aNaturalNumber0 @ W1 ) ) )
      & ( aNaturalNumber0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( ( isPrime0 @ W0 )
          | ( ! [W1: $i] :
                ( ( ( aNaturalNumber0 @ W1 )
                  & ? [W2: $i] :
                      ( ( W0
                        = ( sdtasdt0 @ W1 @ W2 ) )
                      & ( aNaturalNumber0 @ W2 ) )
                  & ( doDivides0 @ W1 @ W0 ) )
               => ( ( W1 = sz10 )
                  | ( W1 = W0 ) ) )
            & ( W0 != sz10 )
            & ( W0 != sz00 ) ) )
        & ( ( doDivides0 @ W0 @ xk )
          | ? [W1: $i] :
              ( ( xk
                = ( sdtasdt0 @ W0 @ W1 ) )
              & ( aNaturalNumber0 @ W1 ) ) )
        & ( aNaturalNumber0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ~ ( isPrime0 @ X0 )
      | ~ ( doDivides0 @ X0 @ xk )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1136,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk = sz00 )
    | ( xk = sz10 )
    | ~ ( aNaturalNumber0 @ ( sk__3 @ xk ) )
    | ~ ( isPrime0 @ ( sk__3 @ xk ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl123]) ).

thf(m__2306,axiom,
    ( ( xk
      = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
    & ( ( sdtasdt0 @ xn @ xm )
      = ( sdtasdt0 @ xp @ xk ) )
    & ( aNaturalNumber0 @ xk ) ) ).

thf(zip_derived_cl117,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl1146,plain,
    ( ( xk = sz00 )
    | ( xk = sz10 )
    | ~ ( aNaturalNumber0 @ ( sk__3 @ xk ) )
    | ~ ( isPrime0 @ ( sk__3 @ xk ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1136,zip_derived_cl117]) ).

thf(m__2315,axiom,
    ~ ( ( xk = sz00 )
      | ( xk = sz10 ) ) ).

thf(zip_derived_cl118,plain,
    xk != sz10,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl119,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl1147,plain,
    ( ~ ( aNaturalNumber0 @ ( sk__3 @ xk ) )
    | ~ ( isPrime0 @ ( sk__3 @ xk ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1146,zip_derived_cl118,zip_derived_cl119]) ).

thf(zip_derived_cl1157,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk = sz00 )
    | ( xk = sz10 )
    | ~ ( isPrime0 @ ( sk__3 @ xk ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl1147]) ).

thf(zip_derived_cl117_001,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl1158,plain,
    ( ( xk = sz00 )
    | ( xk = sz10 )
    | ~ ( isPrime0 @ ( sk__3 @ xk ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1157,zip_derived_cl117]) ).

thf(zip_derived_cl118_002,plain,
    xk != sz10,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl119_003,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl1159,plain,
    ~ ( isPrime0 @ ( sk__3 @ xk ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1158,zip_derived_cl118,zip_derived_cl119]) ).

thf(zip_derived_cl1160,plain,
    ( ~ ( aNaturalNumber0 @ xk )
    | ( xk = sz00 )
    | ( xk = sz10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl1159]) ).

thf(zip_derived_cl117_004,plain,
    aNaturalNumber0 @ xk,
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl1161,plain,
    ( ( xk = sz00 )
    | ( xk = sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1160,zip_derived_cl117]) ).

thf(zip_derived_cl118_005,plain,
    xk != sz10,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl119_006,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2315]) ).

thf(zip_derived_cl1162,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1161,zip_derived_cl118,zip_derived_cl119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM500+3 : 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.6Azg1aIFRd true
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 14:22:47 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.90/0.88  % Solved by fo/fo5.sh.
% 1.90/0.88  % done 236 iterations in 0.112s
% 1.90/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.90/0.88  % SZS output start Refutation
% See solution above
% 1.90/0.88  
% 1.90/0.88  
% 1.90/0.88  % Terminating...
% 2.21/0.95  % Runner terminated.
% 2.21/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------