TSTP Solution File: SEU118+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kgnVD2q35h true

% Computer : n028.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 19:10:31 EDT 2023

% Result   : Theorem 0.88s 0.82s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   33 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   55 (   2 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  157 (  22   ~;  19   |;   1   &; 104   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

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

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

thf(finite_subsets_type,type,
    finite_subsets: $i > $i ).

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

thf(sk__11_type,type,
    sk__11: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(preboolean_type,type,
    preboolean: $i > $o ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(d5_finsub_1,axiom,
    ! [A: $i,B: $i] :
      ( ( preboolean @ B )
     => ( ( B
          = ( finite_subsets @ A ) )
      <=> ! [C: $i] :
            ( ( in @ C @ B )
          <=> ( ( subset @ C @ A )
              & ( finite @ C ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( finite_subsets @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( finite @ X2 )
      | ~ ( subset @ X2 @ X0 )
      | ~ ( preboolean @ X1 ) ),
    inference(cnf,[status(esa)],[d5_finsub_1]) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( preboolean @ ( finite_subsets @ X0 ) )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( finite @ X1 )
      | ( in @ X1 @ ( finite_subsets @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(dt_k5_finsub_1,axiom,
    ! [A: $i] : ( preboolean @ ( finite_subsets @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( finite @ X1 )
      | ( in @ X1 @ ( finite_subsets @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl13]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( element @ A @ B ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X1 )
      | ~ ( subset @ X1 @ X0 )
      | ( element @ X1 @ ( finite_subsets @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl56]) ).

thf(zip_derived_cl817,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X1 @ ( powerset @ X0 ) )
      | ~ ( finite @ X1 )
      | ( element @ X1 @ ( finite_subsets @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl781]) ).

thf(t34_finsub_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( finite @ A )
       => ( element @ B @ ( finite_subsets @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( powerset @ A ) )
       => ( ( finite @ A )
         => ( element @ B @ ( finite_subsets @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t34_finsub_1]) ).

thf(zip_derived_cl58,plain,
    ~ ( element @ sk__12 @ ( finite_subsets @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl846,plain,
    ( ~ ( finite @ sk__12 )
    | ~ ( element @ sk__12 @ ( powerset @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl817,zip_derived_cl58]) ).

thf(zip_derived_cl59,plain,
    element @ sk__12 @ ( powerset @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cc2_finset_1,axiom,
    ! [A: $i] :
      ( ( finite @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ A ) )
         => ( finite @ B ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ X1 ) )
      | ( finite @ X0 )
      | ~ ( finite @ X1 ) ),
    inference(cnf,[status(esa)],[cc2_finset_1]) ).

thf(zip_derived_cl395,plain,
    ( ( finite @ sk__12 )
    | ~ ( finite @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl4]) ).

thf(zip_derived_cl60,plain,
    finite @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl396,plain,
    finite @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl60]) ).

thf(zip_derived_cl59_001,plain,
    element @ sk__12 @ ( powerset @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl854,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl846,zip_derived_cl396,zip_derived_cl59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kgnVD2q35h true
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Aug 23 13:15:04 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % 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
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.82  % Solved by fo/fo6_bce.sh.
% 0.88/0.82  % BCE start: 68
% 0.88/0.82  % BCE eliminated: 8
% 0.88/0.82  % PE start: 60
% 0.88/0.82  logic: eq
% 0.88/0.82  % PE eliminated: 2
% 0.88/0.82  % done 171 iterations in 0.080s
% 0.88/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.88/0.82  % SZS output start Refutation
% See solution above
% 0.88/0.82  
% 0.88/0.82  
% 0.88/0.82  % Terminating...
% 0.88/0.87  % Runner terminated.
% 0.88/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------