TSTP Solution File: NUM551+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM551+1 : 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.wv0mIxsQXw true

% Computer : n004.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 12:42:18 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   31 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   46 (  13 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   91 (  19   ~;  16   |;   5   &;  48   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;  10   !;   3   ?;  13   :)

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

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

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

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

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

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

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

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

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

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(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_cl902,plain,
    ! [X0: $i] :
      ( ~ ( aSet0 @ X0 )
      | ( X0 = slcrc0 )
      | ( aElement0 @ ( sk_ @ X0 ) )
      | ~ ( aSet0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).

thf(zip_derived_cl904,plain,
    ! [X0: $i] :
      ( ( aElement0 @ ( sk_ @ X0 ) )
      | ( X0 = slcrc0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl902]) ).

thf(zip_derived_cl6_001,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_cl122,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xQ )
      | ~ ( aElement0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl908,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl122]) ).

thf(m__2291,axiom,
    ( ( ( sbrdtbr0 @ xQ )
      = xk )
    & ( isFinite0 @ xQ )
    & ( aSet0 @ xQ ) ) ).

thf(zip_derived_cl120,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2291]) ).

thf(zip_derived_cl909,plain,
    ( ( xQ = slcrc0 )
    | ~ ( aElement0 @ ( sk_ @ xQ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl908,zip_derived_cl120]) ).

thf(m__2313,axiom,
    xQ != slcrc0 ).

thf(zip_derived_cl121,plain,
    xQ != slcrc0,
    inference(cnf,[status(esa)],[m__2313]) ).

thf(zip_derived_cl910,plain,
    ~ ( aElement0 @ ( sk_ @ xQ ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl909,zip_derived_cl121]) ).

thf(zip_derived_cl978,plain,
    ( ~ ( aSet0 @ xQ )
    | ( xQ = slcrc0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl910]) ).

thf(zip_derived_cl120_002,plain,
    aSet0 @ xQ,
    inference(cnf,[status(esa)],[m__2291]) ).

thf(zip_derived_cl979,plain,
    xQ = slcrc0,
    inference(demod,[status(thm)],[zip_derived_cl978,zip_derived_cl120]) ).

thf(zip_derived_cl121_003,plain,
    xQ != slcrc0,
    inference(cnf,[status(esa)],[m__2313]) ).

thf(zip_derived_cl980,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl979,zip_derived_cl121]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM551+1 : 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.wv0mIxsQXw true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 11:57:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % Solved by fo/fo6_bce.sh.
% 0.21/0.77  % BCE start: 123
% 0.21/0.77  % BCE eliminated: 1
% 0.21/0.77  % PE start: 122
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 0
% 0.21/0.77  % done 76 iterations in 0.050s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.16/0.85  % Runner terminated.
% 1.67/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------