TSTP Solution File: NUM477+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM477+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.0baYh7vwPq 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 12:41:44 EDT 2023

% Result   : Theorem 0.63s 0.89s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   40 (  19 unt;   8 typ;   0 def)
%            Number of atoms       :   61 (  17 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  147 (  21   ~;  18   |;   6   &;  97   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  12   !;   1   ?;  13   :)

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

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

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

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

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

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

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(m__1494_04,axiom,
    ( ( xn != sz00 )
    & ( doDivides0 @ xm @ xn ) ) ).

thf(zip_derived_cl61,plain,
    doDivides0 @ xm @ xn,
    inference(cnf,[status(esa)],[m__1494_04]) ).

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_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X1
        = ( sdtasdt0 @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl552,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn )
    | ( xn
      = ( sdtasdt0 @ xm @ ( sk__1 @ xn @ xm ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl49]) ).

thf(m__1494,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm ) ) ).

thf(zip_derived_cl59,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl58,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl554,plain,
    ( xn
    = ( sdtasdt0 @ xm @ ( sk__1 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl59,zip_derived_cl58]) ).

thf(zip_derived_cl554_001,plain,
    ( xn
    = ( sdtasdt0 @ xm @ ( sk__1 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl552,zip_derived_cl59,zip_derived_cl58]) ).

thf(mMonMul2,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( W0 != sz00 )
       => ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X1 @ ( sdtasdt0 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[mMonMul2]) ).

thf(zip_derived_cl619,plain,
    ( ( ( sk__1 @ xn @ xm )
      = sz00 )
    | ~ ( aNaturalNumber0 @ ( sk__1 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ xm )
    | ( sdtlseqdt0 @ xm @ xn ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl46]) ).

thf(zip_derived_cl61_002,plain,
    doDivides0 @ xm @ xn,
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sk__1 @ X1 @ X0 ) )
      | ~ ( doDivides0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefDiv]) ).

thf(zip_derived_cl190,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ xn )
    | ( aNaturalNumber0 @ ( sk__1 @ xn @ xm ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl50]) ).

thf(zip_derived_cl59_003,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl58_004,plain,
    aNaturalNumber0 @ xn,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl191,plain,
    aNaturalNumber0 @ ( sk__1 @ xn @ xm ),
    inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl59,zip_derived_cl58]) ).

thf(zip_derived_cl59_005,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(m__,conjecture,
    sdtlseqdt0 @ xm @ xn ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( sdtlseqdt0 @ xm @ xn ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl62,plain,
    ~ ( sdtlseqdt0 @ xm @ xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl631,plain,
    ( ( sk__1 @ xn @ xm )
    = sz00 ),
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl191,zip_derived_cl59,zip_derived_cl62]) ).

thf(zip_derived_cl637,plain,
    ( xn
    = ( sdtasdt0 @ xm @ sz00 ) ),
    inference(demod,[status(thm)],[zip_derived_cl554,zip_derived_cl631]) ).

thf(m_MulZero,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtasdt0 @ W0 @ sz00 )
          = sz00 )
        & ( sz00
          = ( sdtasdt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ X0 @ sz00 )
        = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_MulZero]) ).

thf(zip_derived_cl655,plain,
    ( ( xn = sz00 )
    | ~ ( aNaturalNumber0 @ xm ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl14]) ).

thf(zip_derived_cl59_006,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__1494]) ).

thf(zip_derived_cl669,plain,
    xn = sz00,
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl59]) ).

thf(zip_derived_cl60,plain,
    xn != sz00,
    inference(cnf,[status(esa)],[m__1494_04]) ).

thf(zip_derived_cl670,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl669,zip_derived_cl60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM477+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0baYh7vwPq true
% 0.15/0.37  % Computer : n017.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Fri Aug 25 08:58:10 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.24/0.70  % Total configuration time : 435
% 0.24/0.70  % Estimated wc time : 1092
% 0.24/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.89  % Solved by fo/fo13.sh.
% 0.63/0.89  % done 73 iterations in 0.093s
% 0.63/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.89  % SZS output start Refutation
% See solution above
% 0.63/0.89  
% 0.63/0.89  
% 0.63/0.89  % Terminating...
% 0.64/0.99  % Runner terminated.
% 1.62/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------