TSTP Solution File: NUM540+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM540+2 : 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.GQiZzlqJkz true

% Computer : n026.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 12:42:13 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   21 (   7 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  10   ~;   5   |;   3   &;  35   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   5   !;   3   ?;   8   :)

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

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

thf(slbdtrb0_type,type,
    slbdtrb0: $i > $i ).

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

thf(slcrc0_type,type,
    slcrc0: $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(m__,conjecture,
    ( ( ( aSet0 @ ( slbdtrb0 @ sz00 ) )
      & ! [W0: $i] :
          ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ sz00 ) ) )
   => ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( slbdtrb0 @ sz00 ) )
      | ( ( slbdtrb0 @ sz00 )
        = slcrc0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( aSet0 @ ( slbdtrb0 @ sz00 ) )
        & ! [W0: $i] :
            ~ ( aElementOf0 @ W0 @ ( slbdtrb0 @ sz00 ) ) )
     => ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ ( slbdtrb0 @ sz00 ) )
        | ( ( slbdtrb0 @ sz00 )
          = slcrc0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ~ ( aElementOf0 @ X0 @ ( slbdtrb0 @ sz00 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl728,plain,
    ( ~ ( aSet0 @ ( slbdtrb0 @ sz00 ) )
    | ( ( slbdtrb0 @ sz00 )
      = slcrc0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl92]) ).

thf(zip_derived_cl91,plain,
    aSet0 @ ( slbdtrb0 @ sz00 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl730,plain,
    ( ( slbdtrb0 @ sz00 )
    = slcrc0 ),
    inference(demod,[status(thm)],[zip_derived_cl728,zip_derived_cl91]) ).

thf(zip_derived_cl94,plain,
    ( ( slbdtrb0 @ sz00 )
   != slcrc0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl731,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl730,zip_derived_cl94]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GQiZzlqJkz true
% 0.15/0.36  % Computer : n026.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 16:45:33 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80  % Solved by fo/fo6_bce.sh.
% 0.22/0.80  % BCE start: 95
% 0.22/0.80  % BCE eliminated: 1
% 0.22/0.80  % PE start: 94
% 0.22/0.80  logic: eq
% 0.22/0.80  % PE eliminated: 0
% 0.22/0.80  % done 17 iterations in 0.052s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.80  % Terminating...
% 0.62/0.87  % Runner terminated.
% 0.62/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------