TSTP Solution File: NUM548+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM548+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.EUiAeLs7PM true

% Computer : n022.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 12:42:17 EDT 2023

% Result   : Theorem 1.33s 0.80s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   22 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   22 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   51 (   6   ~;   3   |;   4   &;  35   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(xQ_type,type,
    xQ: $i ).

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

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(isFinite0_type,type,
    isFinite0: $i > $o ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xS_type,type,
    xS: $i ).

thf(mCardNum,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
      <=> ( isFinite0 @ W0 ) ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
      | ( isFinite0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardNum]) ).

thf(m__,conjecture,
    isFinite0 @ xQ ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( isFinite0 @ xQ ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl147,plain,
    ~ ( isFinite0 @ xQ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,plain,
    ( ~ ( aSet0 @ xQ )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ xQ ) @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl147]) ).

thf(m__2270,axiom,
    ( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xS @ xk ) )
    & ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( aSubsetOf0 @ xQ @ xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
       => ( aElementOf0 @ W0 @ xS ) )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl142,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2270]) ).

thf(zip_derived_cl145,plain,
    ( ( sbrdtbr0 @ xQ )
    = xk ),
    inference(cnf,[status(esa)],[m__2270]) ).

thf(m__2202,axiom,
    aElementOf0 @ xk @ szNzAzT0 ).

thf(zip_derived_cl110,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__2202]) ).

thf(zip_derived_cl223,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl142,zip_derived_cl145,zip_derived_cl110]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EUiAeLs7PM true
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Aug 25 14:27:25 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.61  % Total configuration time : 435
% 0.19/0.61  % Estimated wc time : 1092
% 0.19/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.80  % Solved by fo/fo7.sh.
% 1.33/0.80  % done 82 iterations in 0.048s
% 1.33/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.80  % SZS output start Refutation
% See solution above
% 1.33/0.80  
% 1.33/0.80  
% 1.33/0.80  % Terminating...
% 2.05/0.92  % Runner terminated.
% 2.05/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------