TSTP Solution File: NUM514+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM514+3 : 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.ea6WG0FVdc 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 12:42:01 EDT 2023

% Result   : Theorem 1.72s 0.85s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   18 (   4 unt;   9 typ;   0 def)
%            Number of atoms       :   23 (  11 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  119 (   6   ~;   4   |;   8   &;  99   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   1   !;   2   ?;   3   :)

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

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

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

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

thf(doDivides0_type,type,
    doDivides0: $i > $i > $o ).

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

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

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

thf(xr_type,type,
    xr: $i ).

thf(m__2613,axiom,
    ( ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
      = ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) )
    & ( xn
      = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) )
    & ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
    & ( xk
      = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xk @ xr ) ) )
    & ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) ) ) ).

thf(zip_derived_cl166,plain,
    ( ( sdtasdt0 @ xp @ ( sdtsldt0 @ xk @ xr ) )
    = ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
    inference(cnf,[status(esa)],[m__2613]) ).

thf(m__,conjecture,
    ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
      & ( xn
        = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
   => ( ? [W0: $i] :
          ( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
            = ( sdtasdt0 @ xp @ W0 ) )
          & ( aNaturalNumber0 @ W0 ) )
      | ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) )
        & ( xn
          = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) )
     => ( ? [W0: $i] :
            ( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
              = ( sdtasdt0 @ xp @ W0 ) )
            & ( aNaturalNumber0 @ W0 ) )
        | ( doDivides0 @ xp @ ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i] :
      ( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
       != ( sdtasdt0 @ xp @ X0 ) )
      | ~ ( aNaturalNumber0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1382,plain,
    ( ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
     != ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) )
    | ~ ( aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl173]) ).

thf(zip_derived_cl170,plain,
    aNaturalNumber0 @ ( sdtsldt0 @ xk @ xr ),
    inference(cnf,[status(esa)],[m__2613]) ).

thf(zip_derived_cl1384,plain,
    ( ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm )
   != ( sdtasdt0 @ ( sdtsldt0 @ xn @ xr ) @ xm ) ),
    inference(demod,[status(thm)],[zip_derived_cl1382,zip_derived_cl170]) ).

thf(zip_derived_cl1385,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1384]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ea6WG0FVdc true
% 0.18/0.35  % Computer : n015.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Fri Aug 25 16:20:37 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.72/0.85  % Solved by fo/fo3_bce.sh.
% 1.72/0.85  % BCE start: 175
% 1.72/0.85  % BCE eliminated: 1
% 1.72/0.85  % PE start: 174
% 1.72/0.85  logic: eq
% 1.72/0.85  % PE eliminated: -11
% 1.72/0.85  % done 90 iterations in 0.066s
% 1.72/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.72/0.85  % SZS output start Refutation
% See solution above
% 1.72/0.85  
% 1.72/0.85  
% 1.72/0.85  % Terminating...
% 2.09/0.95  % Runner terminated.
% 2.09/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------