TSTP Solution File: NUM549+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM549+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.CKPIvK62jA true

% Computer : n009.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 0.63s 0.92s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   45 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :   67 (  22 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  137 (  24   ~;  20   |;   9   &;  78   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  14   !;   3   ?;  17   :)

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

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

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

thf(sk__type,type,
    sk_: $i > $i ).

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

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

thf(aElement0_type,type,
    aElement0: $i > $o ).

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

thf(xT_type,type,
    xT: $i ).

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

thf(slcrc0_type,type,
    slcrc0: $i ).

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

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

thf(mDefEmp,axiom,
    ! [W0: $i] :
      ( ( W0 = slcrc0 )
    <=> ( ( aSet0 @ W0 )
        & ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( aElementOf0 @ W0 @ xQ )
      & ( aElement0 @ W0 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ( aElementOf0 @ W0 @ xQ )
        & ( aElement0 @ W0 ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl150]) ).

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_cl316,plain,
    ( ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl142]) ).

thf(mCardEmpty,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( ( ( sbrdtbr0 @ W0 )
          = sz00 )
      <=> ( W0 = slcrc0 ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( X0 != slcrc0 )
      | ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mCardEmpty]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( aSet0 @ X0 )
      | ( X0 != slcrc0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i] :
      ( ( ( sbrdtbr0 @ X0 )
        = sz00 )
      | ( X0 != slcrc0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl4]) ).

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

thf(zip_derived_cl271,plain,
    ( ( sz00 = xk )
    | ( xQ != slcrc0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl266,zip_derived_cl145]) ).

thf(m__2202_02,axiom,
    ( ( xk != sz00 )
    & ( aSet0 @ xT )
    & ( aSet0 @ xS ) ) ).

thf(zip_derived_cl111,plain,
    xk != sz00,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl275,plain,
    xQ != slcrc0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl271,zip_derived_cl111]) ).

thf(zip_derived_cl317,plain,
    ~ ( aElement0 @ ( sk_ @ xQ ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl316,zip_derived_cl275]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i] :
      ( ( X0 = slcrc0 )
      | ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDefEmp]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xS )
      | ~ ( aElementOf0 @ X0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__2270]) ).

thf(zip_derived_cl294,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 )
    | ( aElementOf0 @ ( sk_ @ xQ ) @ xS ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl143]) ).

thf(zip_derived_cl142_002,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2270]) ).

thf(zip_derived_cl314,plain,
    ( ( xQ = slcrc0 )
    | ( aElementOf0 @ ( sk_ @ xQ ) @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl142]) ).

thf(zip_derived_cl275_003,plain,
    xQ != slcrc0,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl271,zip_derived_cl111]) ).

thf(zip_derived_cl315,plain,
    aElementOf0 @ ( sk_ @ xQ ) @ xS,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl314,zip_derived_cl275]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl350,plain,
    ( ~ ( aSet0 @ xS )
    | ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl2]) ).

thf(zip_derived_cl113,plain,
    aSet0 @ xS,
    inference(cnf,[status(esa)],[m__2202_02]) ).

thf(zip_derived_cl352,plain,
    aElement0 @ ( sk_ @ xQ ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl113]) ).

thf(zip_derived_cl353,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl352]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM549+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CKPIvK62jA true
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 10:44:51 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.59/0.71  % Total configuration time : 435
% 0.59/0.71  % Estimated wc time : 1092
% 0.59/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.63/0.92  % Solved by fo/fo7.sh.
% 0.63/0.92  % done 142 iterations in 0.077s
% 0.63/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.92  % SZS output start Refutation
% See solution above
% 0.63/0.92  
% 0.63/0.92  
% 0.63/0.92  % Terminating...
% 0.72/1.02  % Runner terminated.
% 0.72/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------