↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU097+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zp6zweaYj1 true

% Computer : n009.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 04:53:25 PM UTC 2025

% Result   : Theorem 1.05s 0.86s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  105 (  14   ~;   8   |;   3   &;  76   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(finite_type,type,
    finite: $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

thf(set_difference_type,type,
    set_difference: $i > $i > $i ).

thf(symmetric_difference_type,type,
    symmetric_difference: $i > $i > $i ).

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

thf(sk__27_type,type,
    sk__27: $i ).

thf(fc12_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( finite @ A )
     => ( finite @ ( set_difference @ A @ B ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ( finite @ ( set_difference @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc12_finset_1]) ).

thf(zip_derived_cl29_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ( finite @ ( set_difference @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc12_finset_1]) ).

thf(d6_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( symmetric_difference @ A @ B )
      = ( set_union2 @ ( set_difference @ A @ B ) @ ( set_difference @ B @ A ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( symmetric_difference @ X0 @ X1 )
      = ( set_union2 @ ( set_difference @ X0 @ X1 ) @ ( set_difference @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d6_xboole_0]) ).

thf(fc9_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( set_union2 @ A @ B ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( set_union2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc9_finset_1]) ).

thf(zip_derived_cl933,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ ( set_difference @ X1 @ X0 ) )
      | ~ ( finite @ ( set_difference @ X0 @ X1 ) )
      | ( finite @ ( symmetric_difference @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl50]) ).

thf(t28_finset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( finite @ A )
        & ( finite @ B ) )
     => ( finite @ ( symmetric_difference @ A @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( finite @ A )
          & ( finite @ B ) )
       => ( finite @ ( symmetric_difference @ A @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t28_finset_1]) ).

thf(zip_derived_cl142,plain,
    ~ ( finite @ ( symmetric_difference @ sk__26 @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1453,plain,
    ( ~ ( finite @ ( set_difference @ sk__27 @ sk__26 ) )
    | ~ ( finite @ ( set_difference @ sk__26 @ sk__27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl933,zip_derived_cl142]) ).

thf(zip_derived_cl1473,plain,
    ( ~ ( finite @ sk__27 )
    | ~ ( finite @ ( set_difference @ sk__26 @ sk__27 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1453]) ).

thf(zip_derived_cl143,plain,
    finite @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1476,plain,
    ~ ( finite @ ( set_difference @ sk__26 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1473,zip_derived_cl143]) ).

thf(zip_derived_cl1478,plain,
    ~ ( finite @ sk__26 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1476]) ).

thf(zip_derived_cl144,plain,
    finite @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1481,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1478,zip_derived_cl144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SEU097+1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zp6zweaYj1 true
% 0.09/0.34  % Computer : n009.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8042.1875MB
% 0.09/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Wed Oct  1 16:13:38 EDT 2025
% 0.09/0.34  % CPUTime  : 
% 0.09/0.34  % Running portfolio for 300 s
% 0.09/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34  % Number of cores: 8
% 0.09/0.35  % Python version: Python 3.6.8
% 0.09/0.35  % Running in FO mode
% 0.44/0.61  % Total configuration time : 435
% 0.44/0.61  % Estimated wc time : 1092
% 0.44/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.03/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.03/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.05/0.86  % Solved by fo/fo6_bce.sh.
% 1.05/0.86  % BCE start: 156
% 1.05/0.86  % BCE eliminated: 20
% 1.05/0.86  % PE start: 136
% 1.05/0.86  logic: eq
% 1.05/0.86  % PE eliminated: 6
% 1.05/0.86  % done 261 iterations in 0.104s
% 1.05/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.05/0.86  % SZS output start Refutation
% See solution above
% 1.05/0.86  
% 1.05/0.86  
% 1.05/0.86  % Terminating...
% 1.40/1.04  % Runner terminated.
% 1.40/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------