TSTP Solution File: NUM460+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM460+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.cK3DAz0n8K true

% Computer : n006.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 12:41:36 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   62 (  16 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  173 (  23   ~;  18   |;  17   &; 111   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  14   !;   6   ?;  20   :)

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(xl_type,type,
    xl: $i ).

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

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

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(m__,conjecture,
    ( ( ? [W0: $i] :
          ( ( ( sdtpldt0 @ xm @ W0 )
            = xn )
          & ( aNaturalNumber0 @ W0 ) )
      & ( sdtlseqdt0 @ xm @ xn )
      & ? [W0: $i] :
          ( ( ( sdtpldt0 @ xn @ W0 )
            = xl )
          & ( aNaturalNumber0 @ W0 ) )
      & ( sdtlseqdt0 @ xn @ xl ) )
   => ( ? [W0: $i] :
          ( ( ( sdtpldt0 @ xm @ W0 )
            = xl )
          & ( aNaturalNumber0 @ W0 ) )
      | ( sdtlseqdt0 @ xm @ xl ) ) ) ).

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

thf(zip_derived_cl39,plain,
    ( ( sdtpldt0 @ xn @ sk__1 )
    = xl ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ( ( sdtpldt0 @ xm @ sk__2 )
    = xn ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mAddAsso,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aNaturalNumber0 @ W0 )
        & ( aNaturalNumber0 @ W1 )
        & ( aNaturalNumber0 @ W2 ) )
     => ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
        = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ~ ( aNaturalNumber0 @ X1 )
      | ~ ( aNaturalNumber0 @ X2 )
      | ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
        = ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mAddAsso]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ sk__2 )
      | ~ ( aNaturalNumber0 @ xm )
      | ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xn @ X0 )
        = ( sdtpldt0 @ xm @ ( sdtpldt0 @ sk__2 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl7]) ).

thf(zip_derived_cl37,plain,
    aNaturalNumber0 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__773,axiom,
    ( ( aNaturalNumber0 @ xl )
    & ( aNaturalNumber0 @ xn )
    & ( aNaturalNumber0 @ xm ) ) ).

thf(zip_derived_cl35,plain,
    aNaturalNumber0 @ xm,
    inference(cnf,[status(esa)],[m__773]) ).

thf(zip_derived_cl254,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xn @ X0 )
        = ( sdtpldt0 @ xm @ ( sdtpldt0 @ sk__2 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl37,zip_derived_cl35]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( ( sdtpldt0 @ xm @ X0 )
       != xl )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i] :
      ( ~ ( aNaturalNumber0 @ X0 )
      | ( ( sdtpldt0 @ xn @ X0 )
       != xl )
      | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl42]) ).

thf(zip_derived_cl446,plain,
    ( ~ ( aNaturalNumber0 @ sk__1 )
    | ( xl != xl )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl358]) ).

thf(zip_derived_cl40,plain,
    aNaturalNumber0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl453,plain,
    ( ( xl != xl )
    | ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl40]) ).

thf(zip_derived_cl454,plain,
    ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl453]) ).

thf(zip_derived_cl498,plain,
    ( ~ ( aNaturalNumber0 @ sk__1 )
    | ~ ( aNaturalNumber0 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl454]) ).

thf(zip_derived_cl40_001,plain,
    aNaturalNumber0 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_002,plain,
    aNaturalNumber0 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl498,zip_derived_cl40,zip_derived_cl37]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM460+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.cK3DAz0n8K true
% 0.13/0.34  % Computer : n006.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 15:38:22 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 44
% 0.21/0.75  % BCE eliminated: 0
% 0.21/0.75  % PE start: 44
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 54 iterations in 0.042s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------