TSTP Solution File: SET091+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5fBUxvRWiP 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 16:12:37 EDT 2023

% Result   : Theorem 0.92s 0.79s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   31 (  25 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   61 (  12   ~;  10   |;   4   &;  33   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  12   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(singleton_type,type,
    singleton: $i > $i ).

thf(member_of_type,type,
    member_of: $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(universal_class_type,type,
    universal_class: $i ).

thf(singleton_self,axiom,
    ! [X: $i] :
      ( ( ( member_of @ X )
        = X )
      | ( ( singleton @ ( member_of @ X ) )
        = X ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( ( member_of @ X0 )
        = X0 )
      | ( ( singleton @ ( member_of @ X0 ) )
        = X0 ) ),
    inference(cnf,[status(esa)],[singleton_self]) ).

thf(member_universal_self,axiom,
    ! [X: $i] :
      ( ( ( member_of @ X )
        = X )
      | ( member @ ( member_of @ X ) @ universal_class ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( ( member_of @ X0 )
        = X0 )
      | ( member @ ( member_of @ X0 ) @ universal_class ) ),
    inference(cnf,[status(esa)],[member_universal_self]) ).

thf(member_when_not_a_singleton,conjecture,
    ! [X: $i,U: $i] :
      ( ( ~ ? [Y: $i] :
              ( ( X
                = ( singleton @ Y ) )
              & ( member @ Y @ universal_class ) )
        & ( X = U ) )
     => ( ( member_of @ X )
        = U ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,U: $i] :
        ( ( ~ ? [Y: $i] :
                ( ( X
                  = ( singleton @ Y ) )
                & ( member @ Y @ universal_class ) )
          & ( X = U ) )
       => ( ( member_of @ X )
          = U ) ),
    inference('cnf.neg',[status(esa)],[member_when_not_a_singleton]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] :
      ( ( sk__7
       != ( singleton @ X0 ) )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i] :
      ( ( ( member_of @ X0 )
        = X0 )
      | ( sk__7
       != ( singleton @ ( member_of @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl95]) ).

thf(zip_derived_cl549,plain,
    ! [X0: $i] :
      ( ( sk__7 != X0 )
      | ( ( member_of @ X0 )
        = X0 )
      | ( ( member_of @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl538]) ).

thf(zip_derived_cl551,plain,
    ! [X0: $i] :
      ( ( ( member_of @ X0 )
        = X0 )
      | ( sk__7 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl549]) ).

thf(zip_derived_cl93,plain,
    ( ( member_of @ sk__7 )
   != sk__8 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    sk__7 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl433,plain,
    ( ( member_of @ sk__7 )
   != sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl94]) ).

thf(zip_derived_cl558,plain,
    ( ( sk__7 != sk__7 )
    | ( sk__7 != sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl433]) ).

thf(zip_derived_cl561,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl558]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5fBUxvRWiP true
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 11:37:38 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.79  % Solved by fo/fo3_bce.sh.
% 0.92/0.79  % BCE start: 96
% 0.92/0.79  % BCE eliminated: 0
% 0.92/0.79  % PE start: 96
% 0.92/0.79  logic: eq
% 0.92/0.79  % PE eliminated: 5
% 0.92/0.79  % done 58 iterations in 0.032s
% 0.92/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.92/0.79  % SZS output start Refutation
% See solution above
% 0.92/0.79  
% 0.92/0.79  
% 0.92/0.79  % Terminating...
% 1.77/0.87  % Runner terminated.
% 1.77/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------