TSTP Solution File: SEU161+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU161+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.Wdmj4pn48M true

% Computer : n025.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 19:10:54 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   20 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (   8   ~;   3   |;   0   &;  47   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ ( singleton @ X1 ) @ X0 )
        = X0 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[l23_zfmisc_1]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( ( set_union2 @ X0 @ ( singleton @ X1 ) )
        = X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).

thf(t46_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)],[t46_zfmisc_1]) ).

thf(zip_derived_cl8,plain,
    ( ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 )
   != sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_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_cl34,plain,
    ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
   != sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( in @ sk__2 @ sk__3 )
    | ( sk__3 != sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl34]) ).

thf(zip_derived_cl7,plain,
    in @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    sk__3 != sk__3,
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl7]) ).

thf(zip_derived_cl52,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU161+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.Wdmj4pn48M true
% 0.13/0.34  % Computer : n025.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 : Wed Aug 23 17:56:20 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
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % Solved by fo/fo6_bce.sh.
% 0.21/0.75  % BCE start: 10
% 0.21/0.75  % BCE eliminated: 0
% 0.21/0.75  % PE start: 10
% 0.21/0.75  logic: eq
% 0.21/0.75  % PE eliminated: 0
% 0.21/0.75  % done 14 iterations in 0.017s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 1.26/0.84  % Runner terminated.
% 1.26/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------