↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU160+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jUp0F2xSsM true

% Computer : n011.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 Oct  2 04:53:39 PM UTC 2025

% Result   : Theorem 0.51s 0.88s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  25 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   73 (  10   ~;  14   |;   1   &;  44   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

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

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_cl128,plain,
    ( ( sk__19 != empty_set )
    | ~ ( subset @ sk__19 @ ( singleton @ sk__20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( sk__19
      = ( singleton @ sk__20 ) )
    | ( sk__19 = empty_set )
    | ( subset @ sk__19 @ ( singleton @ sk__20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( sk__19
     != ( singleton @ sk__20 ) )
    | ~ ( subset @ sk__19 @ ( singleton @ sk__20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl654,plain,
    ( sk__19
   != ( singleton @ sk__20 ) ),
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl5]) ).

thf(zip_derived_cl663,plain,
    ( ( sk__19 = empty_set )
    | ( subset @ sk__19 @ ( singleton @ sk__20 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl127,zip_derived_cl654]) ).

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

thf(zip_derived_cl91,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_cl800,plain,
    ( ( sk__19 = empty_set )
    | ( sk__19
      = ( singleton @ sk__20 ) )
    | ( sk__19 = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl663,zip_derived_cl91]) ).

thf(zip_derived_cl803,plain,
    ( ( sk__19
      = ( singleton @ sk__20 ) )
    | ( sk__19 = empty_set ) ),
    inference(simplify,[status(thm)],[zip_derived_cl800]) ).

thf(zip_derived_cl654_001,plain,
    ( sk__19
   != ( singleton @ sk__20 ) ),
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl5]) ).

thf(zip_derived_cl804,plain,
    sk__19 = empty_set,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl803,zip_derived_cl654]) ).

thf(zip_derived_cl804_002,plain,
    sk__19 = empty_set,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl803,zip_derived_cl654]) ).

thf(t2_xboole_1,axiom,
    ! [A: $i] : ( subset @ empty_set @ A ) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] : ( subset @ empty_set @ X0 ),
    inference(cnf,[status(esa)],[t2_xboole_1]) ).

thf(zip_derived_cl805,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl804,zip_derived_cl804,zip_derived_cl114]) ).

thf(zip_derived_cl806,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl805]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SEU160+2 : TPTP v9.2.0. Released v3.3.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jUp0F2xSsM true
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 16:07:23 EDT 2025
% 0.16/0.31  % CPUTime  : 
% 0.16/0.31  % Running portfolio for 300 s
% 0.16/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31  % Number of cores: 8
% 0.16/0.32  % Python version: Python 3.6.8
% 0.16/0.32  % Running in FO mode
% 0.43/0.62  % Total configuration time : 435
% 0.43/0.62  % Estimated wc time : 1092
% 0.43/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.88  % Solved by fo/fo6_bce.sh.
% 0.51/0.88  % BCE start: 154
% 0.51/0.88  % BCE eliminated: 2
% 0.51/0.88  % PE start: 152
% 0.51/0.88  logic: eq
% 0.51/0.88  % PE eliminated: 0
% 0.51/0.88  % done 122 iterations in 0.104s
% 0.51/0.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.88  % SZS output start Refutation
% See solution above
% 0.51/0.88  
% 0.51/0.88  
% 0.51/0.88  % Terminating...
% 2.06/1.01  % Runner terminated.
% 2.06/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------