TSTP Solution File: NUM458+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM458+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.1PrjTKgo5J true

% Computer : n024.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 12:41:34 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  10 unt;   5 typ;   0 def)
%            Number of atoms       :   37 (  10 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   86 (  20   ~;  13   |;   3   &;  47   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  10   !;   1   ?;  11   :)

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

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

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

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

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

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(mDefLE,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
      <=> ? [W2: $i] :
            ( ( ( sdtpldt0 @ W0 @ W2 )
              = W1 )
            & ( aNaturalNumber0 @ W2 ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ X0 @ X2 )
       != X1 ) ),
    inference(cnf,[status(esa)],[mDefLE]) ).

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

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

thf(zip_derived_cl32,plain,
    ~ ( sdtlseqdt0 @ xm @ xm ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xm @ X0 )
       != xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ xm ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl32]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xm @ X0 )
       != xm ) ),
    inference(simplify,[status(thm)],[zip_derived_cl194]) ).

thf(m__718,axiom,
    aNaturalNumber0 @ xm ).

thf(zip_derived_cl31,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__718]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xm @ X0 )
       != xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl31]) ).

thf(zip_derived_cl197,plain,
    ( ~ ( aNaturalNumber0 @ xm )
    | ~ ( aNaturalNumber0 @ sz00 )
    | ( xm != xm ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl196]) ).

thf(zip_derived_cl31_001,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__718]) ).

thf(mSortsC,axiom,
    aNaturalNumber0 @ sz00 ).

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

thf(zip_derived_cl198,plain,
    xm != xm,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl31,zip_derived_cl1]) ).

thf(zip_derived_cl199,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl198]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM458+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1PrjTKgo5J true
% 0.15/0.35  % Computer : n024.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 08:56:24 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 33
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 33
% 0.22/0.76  logic: eq
% 0.22/0.76  % PE eliminated: 1
% 0.22/0.76  % done 6 iterations in 0.012s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 1.38/0.87  % Runner terminated.
% 1.38/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------