TSTP Solution File: SEU308+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU308+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.9ZhrK1T7cX 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 Aug 31 19:12:02 EDT 2023

% Result   : Theorem 3.32s 1.14s
% Output   : Refutation 3.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   36 (   9 unt;  12 typ;   0 def)
%            Number of atoms       :   45 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  207 (  17   ~;  11   |;   1   &; 169   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subset_difference_type,type,
    subset_difference: $i > $i > $i > $i ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

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

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

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

thf(cast_as_carrier_subset_type,type,
    cast_as_carrier_subset: $i > $i ).

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

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

thf(subset_complement_type,type,
    subset_complement: $i > $i > $i ).

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

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

thf(sk__10_type,type,
    sk__10: $i ).

thf(d5_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( subset_complement @ A @ B )
        = ( set_difference @ A @ B ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( subset_complement @ X0 @ X1 )
        = ( set_difference @ X0 @ X1 ) )
      | ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
    inference(cnf,[status(esa)],[d5_subset_1]) ).

thf(redefinition_k6_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( element @ B @ ( powerset @ A ) )
        & ( element @ C @ ( powerset @ A ) ) )
     => ( ( subset_difference @ A @ B @ C )
        = ( set_difference @ B @ C ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( element @ X2 @ ( powerset @ X1 ) )
      | ( ( subset_difference @ X1 @ X0 @ X2 )
        = ( set_difference @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k6_subset_1]) ).

thf(d3_pre_topc,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( cast_as_carrier_subset @ A )
        = ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( ( cast_as_carrier_subset @ X0 )
        = ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d3_pre_topc]) ).

thf(t17_pre_topc,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ! [B: $i] :
          ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
         => ( ( subset_complement @ ( the_carrier @ A ) @ B )
            = ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ! [B: $i] :
            ( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
           => ( ( subset_complement @ ( the_carrier @ A ) @ B )
              = ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t17_pre_topc]) ).

thf(zip_derived_cl52,plain,
    ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
   != ( subset_difference @ ( the_carrier @ sk__9 ) @ ( cast_as_carrier_subset @ sk__9 ) @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
     != ( subset_difference @ ( the_carrier @ sk__9 ) @ ( the_carrier @ sk__9 ) @ sk__10 ) )
    | ~ ( one_sorted_str @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl52]) ).

thf(zip_derived_cl51,plain,
    one_sorted_str @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
   != ( subset_difference @ ( the_carrier @ sk__9 ) @ ( the_carrier @ sk__9 ) @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl51]) ).

thf(zip_derived_cl1096,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
     != ( set_difference @ ( the_carrier @ sk__9 ) @ sk__10 ) )
    | ~ ( element @ sk__10 @ ( powerset @ ( the_carrier @ sk__9 ) ) )
    | ~ ( element @ ( the_carrier @ sk__9 ) @ ( powerset @ ( the_carrier @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl57]) ).

thf(zip_derived_cl53,plain,
    element @ sk__10 @ ( powerset @ ( the_carrier @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l71_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) )
     => ( element @ A @ ( powerset @ B ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( in @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[l71_subset_1]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[l71_subset_1]) ).

thf(zip_derived_cl921,plain,
    ! [X0: $i] :
      ( ( element @ X0 @ ( powerset @ X0 ) )
      | ( element @ X0 @ ( powerset @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl27]) ).

thf(zip_derived_cl922,plain,
    ! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl921]) ).

thf(zip_derived_cl1103,plain,
    ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
   != ( set_difference @ ( the_carrier @ sk__9 ) @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1096,zip_derived_cl53,zip_derived_cl922]) ).

thf(zip_derived_cl1105,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
     != ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 ) )
    | ~ ( element @ sk__10 @ ( powerset @ ( the_carrier @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1103]) ).

thf(zip_derived_cl53_001,plain,
    element @ sk__10 @ ( powerset @ ( the_carrier @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1107,plain,
    ( ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 )
   != ( subset_complement @ ( the_carrier @ sk__9 ) @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1105,zip_derived_cl53]) ).

thf(zip_derived_cl1108,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1107]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU308+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.9ZhrK1T7cX true
% 0.14/0.35  % Computer : n009.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 : Wed Aug 23 17:52:36 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.32/1.14  % Solved by fo/fo4.sh.
% 3.32/1.14  % done 462 iterations in 0.260s
% 3.32/1.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.32/1.14  % SZS output start Refutation
% See solution above
% 3.32/1.14  
% 3.32/1.14  
% 3.32/1.14  % Terminating...
% 5.38/1.59  % Runner terminated.
% 5.38/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------