TSTP Solution File: NUM505+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM505+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.STXlxp7nCw true

% Computer : n015.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 12:41:57 EDT 2023

% Result   : Theorem 1.57s 1.04s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   32 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :   56 (  18 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  127 (  19   ~;  17   |;  13   &;  74   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;   7   !;   4   ?;  11   :)

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

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

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

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

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

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

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

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

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

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

thf(m__,conjecture,
    ( ~ ( ? [W0: $i] :
            ( ( ( sdtpldt0 @ xp @ W0 )
              = xk )
            & ( aNaturalNumber0 @ W0 ) )
        | ( sdtlseqdt0 @ xp @ xk ) )
   => ( ( xk != xp )
      & ( ? [W0: $i] :
            ( ( ( sdtpldt0 @ xk @ W0 )
              = xp )
            & ( aNaturalNumber0 @ W0 ) )
        | ( sdtlseqdt0 @ xk @ xp ) ) ) ) ).

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

thf(zip_derived_cl137,plain,
    ~ ( sdtlseqdt0 @ xp @ xk ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[mLETotal]) ).

thf(zip_derived_cl139,plain,
    ( ( xk = xp )
    | ~ ( sdtlseqdt0 @ xk @ xp ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1771,plain,
    ( ( sdtlseqdt0 @ xp @ xk )
    | ~ ( aNaturalNumber0 @ xp )
    | ~ ( aNaturalNumber0 @ xk )
    | ( xk = xp ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl139]) ).

thf(m__1837,axiom,
    ( ( aNaturalNumber0 @ xp )
    & ( aNaturalNumber0 @ xm )
    & ( aNaturalNumber0 @ xn ) ) ).

thf(zip_derived_cl70,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

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_cl1785,plain,
    ( ( sdtlseqdt0 @ xp @ xk )
    | ( xk = xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl1771,zip_derived_cl70,zip_derived_cl117]) ).

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_cl136,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xp @ X0 )
       != xk )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl941,plain,
    ( ~ ( aNaturalNumber0 @ xp )
    | ( xp != xk )
    | ~ ( aNaturalNumber0 @ sz00 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl136]) ).

thf(zip_derived_cl70_001,plain,
    aNaturalNumber0 @ xp,
    inference(cnf,[status(esa)],[m__1837]) ).

thf(mSortsC,axiom,
    aNaturalNumber0 @ sz00 ).

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

thf(zip_derived_cl951,plain,
    xp != xk,
    inference(demod,[status(thm)],[zip_derived_cl941,zip_derived_cl70,zip_derived_cl1]) ).

thf(zip_derived_cl1786,plain,
    sdtlseqdt0 @ xp @ xk,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1785,zip_derived_cl951]) ).

thf(zip_derived_cl1793,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl1786]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM505+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.STXlxp7nCw true
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 16:29:07 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.57/1.04  % Solved by fo/fo6_bce.sh.
% 1.57/1.04  % BCE start: 140
% 1.57/1.04  % BCE eliminated: 1
% 1.57/1.04  % PE start: 139
% 1.57/1.04  logic: eq
% 1.57/1.04  % PE eliminated: 8
% 1.57/1.04  % done 148 iterations in 0.226s
% 1.57/1.04  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/1.04  % SZS output start Refutation
% See solution above
% 1.57/1.04  
% 1.57/1.04  
% 1.57/1.04  % Terminating...
% 2.07/1.19  % Runner terminated.
% 2.07/1.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------