TSTP Solution File: SEU124+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8QaDKZfktI true

% Computer : n015.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 19:10:34 EDT 2023

% Result   : Theorem 1.30s 0.99s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   28 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  100 (   6   ~;   8   |;   0   &;  82   @)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

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

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

thf(t7_xboole_1,conjecture,
    ! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t7_xboole_1]) ).

thf(zip_derived_cl48,plain,
    ~ ( subset @ sk__8 @ ( set_union2 @ sk__8 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_union2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            | ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( X2
       != ( set_union2 @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X2 @ ( set_union2 @ X1 @ X0 ) )
      | ~ ( in @ X2 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl618,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ ( set_union2 @ X2 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl150]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl1322,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) )
      | ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl15]) ).

thf(zip_derived_cl1334,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1322]) ).

thf(zip_derived_cl1342,plain,
    ! [X0: $i,X1: $i] : ( subset @ X1 @ ( set_union2 @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl1334]) ).

thf(zip_derived_cl1378,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl1342]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU124+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8QaDKZfktI true
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 00:10:20 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.99  % Solved by fo/fo5.sh.
% 1.30/0.99  % done 490 iterations in 0.204s
% 1.30/0.99  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.99  % SZS output start Refutation
% See solution above
% 1.30/0.99  
% 1.30/0.99  
% 1.30/0.99  % Terminating...
% 1.53/1.07  % Runner terminated.
% 1.53/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------