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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU308+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q3dmSgIFXG true

% Computer : n014.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 04:54:11 PM UTC 2025

% Result   : Theorem 0.59s 0.89s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  207 (  21   ~;  11   |;   1   &; 166   @)
%                                         (   0 <=>;   8  =>;   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     :   12 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

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

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

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

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

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

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

thf(set_difference_type,type,
    set_difference: $i > $i > $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_cl14,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(d3_pre_topc,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( cast_as_carrier_subset @ A )
        = ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( ( cast_as_carrier_subset @ X0 )
        = ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d3_pre_topc]) ).

thf(dt_k2_pre_topc,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( element @ ( cast_as_carrier_subset @ A ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( element @ ( cast_as_carrier_subset @ X0 ) @ ( powerset @ ( the_carrier @ X0 ) ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_pre_topc]) ).

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_cl9,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(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_cl16,plain,
    ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
   != ( subset_difference @ ( the_carrier @ sk__2 ) @ ( cast_as_carrier_subset @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
     != ( set_difference @ ( cast_as_carrier_subset @ sk__2 ) @ sk__3 ) )
    | ~ ( element @ sk__3 @ ( powerset @ ( the_carrier @ sk__2 ) ) )
    | ~ ( element @ ( cast_as_carrier_subset @ sk__2 ) @ ( powerset @ ( the_carrier @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl16]) ).

thf(zip_derived_cl17,plain,
    element @ sk__3 @ ( powerset @ ( the_carrier @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
     != ( set_difference @ ( cast_as_carrier_subset @ sk__2 ) @ sk__3 ) )
    | ~ ( element @ ( cast_as_carrier_subset @ sk__2 ) @ ( powerset @ ( the_carrier @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl17]) ).

thf(zip_derived_cl53,plain,
    ( ~ ( one_sorted_str @ sk__2 )
    | ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
     != ( set_difference @ ( cast_as_carrier_subset @ sk__2 ) @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl36]) ).

thf(zip_derived_cl15,plain,
    one_sorted_str @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
   != ( set_difference @ ( cast_as_carrier_subset @ sk__2 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl15]) ).

thf(zip_derived_cl58,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
     != ( set_difference @ ( the_carrier @ sk__2 ) @ sk__3 ) )
    | ~ ( one_sorted_str @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl56]) ).

thf(zip_derived_cl15_001,plain,
    one_sorted_str @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
   != ( set_difference @ ( the_carrier @ sk__2 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl15]) ).

thf(zip_derived_cl60,plain,
    ( ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
     != ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 ) )
    | ~ ( element @ sk__3 @ ( powerset @ ( the_carrier @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl59]) ).

thf(zip_derived_cl17_002,plain,
    element @ sk__3 @ ( powerset @ ( the_carrier @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 )
   != ( subset_complement @ ( the_carrier @ sk__2 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl17]) ).

thf(zip_derived_cl62,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU308+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q3dmSgIFXG true
% 0.15/0.35  % Computer : n014.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 Oct  1 16:06:53 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/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
% 0.56/0.68  % Total configuration time : 435
% 0.56/0.68  % Estimated wc time : 1092
% 0.56/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.89  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 0.59/0.89  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.59/0.89  % Solved by fo/fo4.sh.
% 0.59/0.89  % done 34 iterations in 0.022s
% 0.59/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.89  % SZS output start Refutation
% See solution above
% 0.59/0.89  
% 0.59/0.89  
% 0.59/0.89  % Terminating...
% 0.65/0.98  % Runner terminated.
% 0.65/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------