TSTP Solution File: SET062+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j0ibHZA6Rz true

% Computer : n018.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 16:12:16 EDT 2023

% Result   : Theorem 0.22s 0.76s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   12 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (   4   ~;   1   |;   0   &;  26   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(empty_set_type,type,
    empty_set: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(subset_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( subset @ B @ C )
    <=> ! [D: $i] :
          ( ( member @ D @ B )
         => ( member @ D @ C ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subset_defn]) ).

thf(prove_empty_set_subset,conjecture,
    ! [B: $i] : ( subset @ empty_set @ B ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] : ( subset @ empty_set @ B ),
    inference('cnf.neg',[status(esa)],[prove_empty_set_subset]) ).

thf(zip_derived_cl7,plain,
    ~ ( subset @ empty_set @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    member @ ( sk_ @ sk__2 @ empty_set ) @ empty_set,
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).

thf(empty_set_defn,axiom,
    ! [B: $i] :
      ~ ( member @ B @ empty_set ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ empty_set ),
    inference(cnf,[status(esa)],[empty_set_defn]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j0ibHZA6Rz true
% 0.13/0.35  % Computer : n018.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 : Sat Aug 26 12:22:45 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.13/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % Solved by fo/fo6_bce.sh.
% 0.22/0.76  % BCE start: 8
% 0.22/0.76  % BCE eliminated: 0
% 0.22/0.76  % PE start: 8
% 0.22/0.76  logic: neq
% 0.22/0.76  % PE eliminated: 2
% 0.22/0.76  % done 2 iterations in 0.005s
% 0.22/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.76  % SZS output start Refutation
% See solution above
% 0.22/0.76  
% 0.22/0.76  
% 0.22/0.76  % Terminating...
% 1.38/0.86  % Runner terminated.
% 1.38/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------