TSTP Solution File: NUM464+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM464+2 : 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.WohaRYWTQh true

% Computer : n012.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 12:41:38 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   27 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   44 (  21 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   79 (  16   ~;  14   |;   6   &;  39   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   5   !;   2   ?;   7   :)

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

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

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

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

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

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

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

thf(m__,conjecture,
    ( ( xm != sz00 )
   => ( ? [W0: $i] :
          ( ( ( sdtpldt0 @ sz10 @ W0 )
            = xm )
          & ( aNaturalNumber0 @ W0 ) )
      | ( sdtlseqdt0 @ sz10 @ xm ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( xm != sz00 )
     => ( ? [W0: $i] :
            ( ( ( sdtpldt0 @ sz10 @ W0 )
              = xm )
            & ( aNaturalNumber0 @ W0 ) )
        | ( sdtlseqdt0 @ sz10 @ xm ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl50,plain,
    ~ ( sdtlseqdt0 @ sz10 @ xm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mLENTr,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( W0 = sz00 )
        | ( W0 = sz10 )
        | ( ( sz10 != W0 )
          & ( sdtlseqdt0 @ sz10 @ W0 ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( sdtlseqdt0 @ sz10 @ X0 )
      | ( X0 = sz10 )
      | ( X0 = sz00 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[mLENTr]) ).

thf(zip_derived_cl378,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ( xm = sz00 )
    | ( xm = sz10 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl45]) ).

thf(m__987,axiom,
    ( ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm ) ) ).

thf(zip_derived_cl47,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__987]) ).

thf(zip_derived_cl379,plain,
    ( ( xm = sz00 )
    | ( xm = sz10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl47]) ).

thf(m_AddZero,axiom,
    ! [W0: $i] :
      ( ( aNaturalNumber0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz00 )
          = W0 )
        & ( W0
          = ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ X0 @ sz00 )
        = X0 )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[m_AddZero]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ sz10 @ X0 )
       != xm )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ( sz10 != xm )
    | ~ ( aNaturalNumber0 @ sz10 )
    | ~ ( aNaturalNumber0 @ sz00 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).

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

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

thf(mSortsC,axiom,
    aNaturalNumber0 @ sz00 ).

thf(zip_derived_cl1,plain,
    aNaturalNumber0 @ sz00,
    inference(cnf,[status(esa)],[mSortsC]) ).

thf(zip_derived_cl354,plain,
    sz10 != xm,
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl48,plain,
    xm != sz00,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl379,zip_derived_cl354,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM464+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WohaRYWTQh true
% 0.13/0.34  % Computer : n012.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 15:39:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % Solved by fo/fo3_bce.sh.
% 0.20/0.73  % BCE start: 51
% 0.20/0.73  % BCE eliminated: 1
% 0.20/0.73  % PE start: 50
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 0
% 0.20/0.73  % done 23 iterations in 0.018s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % Terminating...
% 1.50/0.82  % Runner terminated.
% 1.50/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------