TSTP Solution File: SET086+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28EdcZTEBP 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 16:12:35 EDT 2023

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   46 (  11   ~;   6   |;   6   &;  23   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;   6   !;   4   ?;  10   :)

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

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

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

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

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

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

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

thf(zip_derived_cl91,plain,
    ! [X1: $i] :
      ( ( X1 != sk__7 )
      | ( member @ sk__8 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ! [X1: $i] :
      ( ( X1 != sk__7 )
      | ( sk__7
        = ( singleton @ sk__8 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl423,plain,
    ( sk__7
    = ( singleton @ sk__8 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( sk__7
       != ( singleton @ X0 ) )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl424,plain,
    ( ( sk__7 != sk__7 )
    | ~ ( member @ sk__8 @ universal_class ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl89]) ).

thf(zip_derived_cl425,plain,
    ~ ( member @ sk__8 @ universal_class ),
    inference(simplify,[status(thm)],[zip_derived_cl424]) ).

thf(zip_derived_cl426,plain,
    ! [X1: $i] : ( X1 != sk__7 ),
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl425]) ).

thf(zip_derived_cl427,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl426]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.28EdcZTEBP true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 11:53:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % Solved by fo/fo6_bce.sh.
% 0.56/0.75  % BCE start: 92
% 0.56/0.75  % BCE eliminated: 0
% 0.56/0.75  % PE start: 92
% 0.56/0.75  logic: eq
% 0.56/0.75  % PE eliminated: 5
% 0.56/0.75  % done 7 iterations in 0.032s
% 0.56/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75  % SZS output start Refutation
% See solution above
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  % Terminating...
% 0.59/0.84  % Runner terminated.
% 1.61/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------