TSTP Solution File: SEU160+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wAez3ol7PT true

% Computer : n014.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 19:10:53 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   41 (  27 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  14   ~;  18   |;   0   &;  45   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   13 (   0   ^;  13   !;   0   ?;  13   :)

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

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

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(l4_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( singleton @ X1 ) )
      | ( X0 != empty_set ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(t39_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ ( singleton @ B ) )
      <=> ( ( A = empty_set )
          | ( A
            = ( singleton @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t39_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__2 != empty_set )
    | ~ ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2 = empty_set )
    | ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( X1 = empty_set )
      | ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(zip_derived_cl80,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2 = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl81,plain,
    ( ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2 = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__2
     != ( singleton @ sk__3 ) )
    | ~ ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2 != sk__2 )
    | ~ ( subset @ sk__2 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl6]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl87,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl0]) ).

thf(zip_derived_cl88,plain,
    sk__2 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl88_001,plain,
    sk__2 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl89,plain,
    ( ( empty_set != empty_set )
    | ~ ( subset @ empty_set @ ( singleton @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl88,zip_derived_cl88]) ).

thf(zip_derived_cl90,plain,
    ~ ( subset @ empty_set @ ( singleton @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl93,plain,
    empty_set != empty_set,
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl90]) ).

thf(zip_derived_cl95,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU160+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wAez3ol7PT true
% 0.13/0.35  % Computer : n014.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 : Wed Aug 23 15:17:19 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
% 0.13/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % Solved by fo/fo6_bce.sh.
% 0.22/0.75  % BCE start: 10
% 0.22/0.75  % BCE eliminated: 0
% 0.22/0.75  % PE start: 10
% 0.22/0.75  logic: eq
% 0.22/0.75  % PE eliminated: 1
% 0.22/0.75  % done 12 iterations in 0.015s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.76  % Terminating...
% 1.06/0.85  % Runner terminated.
% 1.06/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------