TSTP Solution File: NUM504+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM504+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.WgVZccWhxs true

% Computer : n019.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 0.20s 0.81s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   52 (  23 unt;  11 typ;   0 def)
%            Number of atoms       :   84 (  22 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  322 (  30   ~;  24   |;  15   &; 249   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  14   !;   2   ?;  16   :)

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

thf(sk__15_type,type,
    sk__15: $i ).

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(sk__16_type,type,
    sk__16: $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__2306,axiom,
    ( ( xk
      = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
    & ( ( sdtasdt0 @ xn @ xm )
      = ( sdtasdt0 @ xp @ xk ) )
    & ( aNaturalNumber0 @ xk ) ) ).

thf(zip_derived_cl116,plain,
    ( ( sdtasdt0 @ xn @ xm )
    = ( sdtasdt0 @ xp @ xk ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl115,plain,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl162,plain,
    ( ( sdtasdt0 @ xn @ xm )
    = ( sdtasdt0 @ xp @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl115]) ).

thf(mSortsB_02,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB_02]) ).

thf(zip_derived_cl376,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
    | ~ ( aNaturalNumber0 @ xp ) ),
    inference('sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl5]) ).

thf(m__2414,axiom,
    ( ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) )
    & ? [W0: $i] :
        ( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
          = ( sdtasdt0 @ xp @ xk ) )
        & ( aNaturalNumber0 @ W0 ) )
    & ( ( sdtasdt0 @ xp @ xm )
     != ( sdtasdt0 @ xp @ xk ) )
    & ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
    & ? [W0: $i] :
        ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
          = ( sdtasdt0 @ xp @ xm ) )
        & ( aNaturalNumber0 @ W0 ) )
    & ( ( sdtasdt0 @ xn @ xm )
     != ( sdtasdt0 @ xp @ xm ) ) ) ).

thf(zip_derived_cl140,plain,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ sk__16 )
    = ( sdtasdt0 @ xp @ xm ) ),
    inference(cnf,[status(esa)],[m__2414]) ).

thf(mSortsB,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 ) )
     => ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl353,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
    | ~ ( aNaturalNumber0 @ sk__16 )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl4]) ).

thf(zip_derived_cl141,plain,
    aNaturalNumber0 @ sk__16,
    inference(cnf,[status(esa)],[m__2414]) ).

thf(zip_derived_cl363,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl141]) ).

thf(zip_derived_cl144,plain,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ sk__15 )
    = ( sdtasdt0 @ xp @ xk ) ),
    inference(cnf,[status(esa)],[m__2414]) ).

thf(zip_derived_cl115_001,plain,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl162_002,plain,
    ( ( sdtasdt0 @ xn @ xm )
    = ( sdtasdt0 @ xp @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl115]) ).

thf(zip_derived_cl198,plain,
    ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ sk__15 )
    = ( sdtasdt0 @ xn @ xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl115,zip_derived_cl162]) ).

thf(zip_derived_cl4_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSortsB]) ).

thf(zip_derived_cl352,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ sk__15 )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl4]) ).

thf(zip_derived_cl145,plain,
    aNaturalNumber0 @ sk__15,
    inference(cnf,[status(esa)],[m__2414]) ).

thf(zip_derived_cl362,plain,
    ( ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl145]) ).

thf(zip_derived_cl142,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ),
    inference(cnf,[status(esa)],[m__2414]) ).

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

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLEAsym]) ).

thf(zip_derived_cl221,plain,
    ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ) )
    | ( ( sdtasdt0 @ xp @ xm )
      = ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl32]) ).

thf(zip_derived_cl146,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ),
    inference(cnf,[status(esa)],[m__2414]) ).

thf(zip_derived_cl115_004,plain,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl162_005,plain,
    ( ( sdtasdt0 @ xn @ xm )
    = ( sdtasdt0 @ xp @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl115]) ).

thf(zip_derived_cl203,plain,
    sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xn @ xm ),
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl115,zip_derived_cl162]) ).

thf(zip_derived_cl229,plain,
    ( ( ( sdtasdt0 @ xp @ xm )
      = ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl203]) ).

thf(zip_derived_cl139,plain,
    ( ( sdtasdt0 @ xn @ xm )
   != ( sdtasdt0 @ xp @ xm ) ),
    inference(cnf,[status(esa)],[m__2414]) ).

thf(zip_derived_cl230,plain,
    ( ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl229,zip_derived_cl139]) ).

thf(zip_derived_cl368,plain,
    ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xp @ xm ) ),
    inference(clc,[status(thm)],[zip_derived_cl362,zip_derived_cl230]) ).

thf(zip_derived_cl369,plain,
    ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xn @ xm ) ),
    inference(clc,[status(thm)],[zip_derived_cl363,zip_derived_cl368]) ).

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

thf(zip_derived_cl115_006,plain,
    ( xk
    = ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ),
    inference(cnf,[status(esa)],[m__2306]) ).

thf(zip_derived_cl152,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl115]) ).

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

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

thf(zip_derived_cl388,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl369,zip_derived_cl152,zip_derived_cl70]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM504+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.WgVZccWhxs true
% 0.17/0.34  % Computer : n019.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Fri Aug 25 08:16:28 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.20/0.81  % Solved by fo/fo7.sh.
% 0.20/0.81  % done 147 iterations in 0.049s
% 0.20/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.81  % SZS output start Refutation
% See solution above
% 0.20/0.81  
% 0.20/0.81  
% 0.20/0.81  % Terminating...
% 0.20/0.91  % Runner terminated.
% 0.20/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------