TSTP Solution File: SEU152+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OQQaghtOlM true

% Computer : n023.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 19:10:48 EDT 2023

% Result   : Theorem 1.38s 0.83s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   68 (   5   ~;   2   |;   0   &;  57   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

thf(in_type,type,
    in: $i > $i > $o ).

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(l23_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( ( set_union2 @ ( singleton @ A ) @ B )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( in @ A @ B )
       => ( ( set_union2 @ ( singleton @ A ) @ B )
          = B ) ),
    inference('cnf.neg',[status(esa)],[l23_zfmisc_1]) ).

thf(zip_derived_cl64,plain,
    in @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l2_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl165,plain,
    subset @ ( singleton @ sk__8 ) @ sk__9,
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl67]) ).

thf(t12_xboole_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
     => ( ( set_union2 @ A @ B )
        = B ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ X1 @ X0 )
        = X0 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[t12_xboole_1]) ).

thf(zip_derived_cl216,plain,
    ( ( set_union2 @ ( singleton @ sk__8 ) @ sk__9 )
    = sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl79]) ).

thf(commutativity_k2_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( set_union2 @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl218,plain,
    ( ( set_union2 @ sk__9 @ ( singleton @ sk__8 ) )
    = sk__9 ),
    inference('sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl3]) ).

thf(zip_derived_cl65,plain,
    ( ( set_union2 @ ( singleton @ sk__8 ) @ sk__9 )
   != sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl178,plain,
    ( ( set_union2 @ sk__9 @ ( singleton @ sk__8 ) )
   != sk__9 ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl3]) ).

thf(zip_derived_cl222,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl218,zip_derived_cl178]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OQQaghtOlM true
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 17:25:43 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.25/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.38/0.83  % Solved by fo/fo5.sh.
% 1.38/0.83  % done 94 iterations in 0.032s
% 1.38/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.83  % SZS output start Refutation
% See solution above
% 1.38/0.83  
% 1.38/0.83  
% 1.38/0.83  % Terminating...
% 1.41/0.87  % Runner terminated.
% 1.41/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------