TSTP Solution File: SEU328+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU328+1 : 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.VsF7lYuhKG 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 19:12:10 EDT 2023

% Result   : Theorem 14.15s 2.60s
% Output   : Refutation 14.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   67 (  17 unt;  13 typ;   0 def)
%            Number of atoms       :  121 (  53 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  737 (  73   ~;  46   |;   1   &; 597   @)
%                                         (   0 <=>;  11  =>;   9  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   63 (   0   ^;  63   !;   0   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cast_to_subset_type,type,
    cast_to_subset: $i > $i ).

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

thf(complements_of_subsets_type,type,
    complements_of_subsets: $i > $i > $i ).

thf(meet_of_subsets_type,type,
    meet_of_subsets: $i > $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(empty_set_type,type,
    empty_set: $i ).

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

thf(union_of_subsets_type,type,
    union_of_subsets: $i > $i > $i ).

thf(union_type,type,
    union: $i > $i ).

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

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

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

thf(dt_k6_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
     => ( element @ ( meet_of_subsets @ A @ B ) @ ( powerset @ A ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( meet_of_subsets @ X0 @ X1 ) @ ( powerset @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k6_setfam_1]) ).

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

thf(zip_derived_cl41,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(t48_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
     => ( ( B != empty_set )
       => ( ( union_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
          = ( subset_difference @ A @ ( cast_to_subset @ A ) @ ( meet_of_subsets @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ( ( union_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
        = ( subset_difference @ X1 @ ( cast_to_subset @ X1 ) @ ( meet_of_subsets @ X1 @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[t48_setfam_1]) ).

thf(d4_subset_1,axiom,
    ! [A: $i] :
      ( ( cast_to_subset @ A )
      = A ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( cast_to_subset @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[d4_subset_1]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ( ( union_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
        = ( subset_difference @ X1 @ X1 @ ( meet_of_subsets @ X1 @ X0 ) ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl40]) ).

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_cl91,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(zip_derived_cl893,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
      | ( X0 = empty_set )
      | ~ ( element @ X1 @ ( powerset @ X1 ) )
      | ~ ( element @ ( meet_of_subsets @ X1 @ X0 ) @ ( powerset @ X1 ) )
      | ( ( union_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
        = ( set_difference @ X1 @ ( meet_of_subsets @ X1 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl91]) ).

thf(dt_k2_subset_1,axiom,
    ! [A: $i] : ( element @ ( cast_to_subset @ A ) @ ( powerset @ A ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] : ( element @ ( cast_to_subset @ X0 ) @ ( powerset @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_subset_1]) ).

thf(zip_derived_cl40_001,plain,
    ! [X0: $i] :
      ( ( cast_to_subset @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[d4_subset_1]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl40]) ).

thf(zip_derived_cl900,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
      | ( X0 = empty_set )
      | ~ ( element @ ( meet_of_subsets @ X1 @ X0 ) @ ( powerset @ X1 ) )
      | ( ( union_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
        = ( set_difference @ X1 @ ( meet_of_subsets @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl137]) ).

thf(zip_derived_cl50_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( meet_of_subsets @ X0 @ X1 ) @ ( powerset @ X0 ) )
      | ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k6_setfam_1]) ).

thf(zip_derived_cl11731,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( union_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
        = ( set_difference @ X1 @ ( meet_of_subsets @ X1 @ X0 ) ) )
      | ( X0 = empty_set )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl900,zip_derived_cl50]) ).

thf(redefinition_k5_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
     => ( ( union_of_subsets @ A @ B )
        = ( union @ B ) ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( union_of_subsets @ X1 @ X0 )
        = ( union @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).

thf(zip_derived_cl89_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( union_of_subsets @ X1 @ X0 )
        = ( union @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
      | ( ( union_of_subsets @ X2 @ X0 )
        = ( union_of_subsets @ X1 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl89]) ).

thf(t12_tops_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
     => ( ( B != empty_set )
       => ( ( union_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
          = ( subset_complement @ A @ ( meet_of_subsets @ A @ B ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
       => ( ( B != empty_set )
         => ( ( union_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
            = ( subset_complement @ A @ ( meet_of_subsets @ A @ B ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t12_tops_2]) ).

thf(zip_derived_cl94,plain,
    ( ( union_of_subsets @ sk__4 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
   != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl949,plain,
    ! [X0: $i] :
      ( ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) )
      | ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl94]) ).

thf(zip_derived_cl11801,plain,
    ( ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) )
   <= ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf(zip_derived_cl11806,plain,
    ( ( ~ ( element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ) )
      | ( sk__5 = empty_set )
      | ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) )
   <= ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11731,zip_derived_cl11801]) ).

thf(zip_derived_cl93,plain,
    element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11811,plain,
    ( ( ( sk__5 = empty_set )
      | ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) )
   <= ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11806,zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    sk__5 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11812,plain,
    ( ( ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) )
   <= ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl11811,zip_derived_cl95]) ).

thf(dt_k7_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
     => ( element @ ( complements_of_subsets @ A @ B ) @ ( powerset @ ( powerset @ A ) ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ ( complements_of_subsets @ X0 @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
      | ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k7_setfam_1]) ).

thf(zip_derived_cl286_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
      | ( ( union_of_subsets @ X2 @ X0 )
        = ( union_of_subsets @ X1 @ X0 ) )
      | ~ ( element @ X0 @ ( powerset @ ( powerset @ X2 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl89]) ).

thf(zip_derived_cl94_005,plain,
    ( ( union_of_subsets @ sk__4 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
   != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl959,plain,
    ! [X0: $i] :
      ( ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) )
      | ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl94]) ).

thf(zip_derived_cl11823,plain,
    ( ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) )
   <= ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl959]) ).

thf(zip_derived_cl11825,plain,
    ( ~ ( element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ) )
   <= ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl11823]) ).

thf(zip_derived_cl93_006,plain,
    element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11825,zip_derived_cl93]) ).

thf('1',plain,
    ( ! [X0: $i] :
        ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
         != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
        | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) )
    | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl949]) ).

thf('2',plain,
    ! [X0: $i] :
      ( ( ( union_of_subsets @ X0 @ ( complements_of_subsets @ sk__4 @ sk__5 ) )
       != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
      | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ X0 ) ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl13971,plain,
    ( ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
    | ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl11812,'2']) ).

thf(zip_derived_cl13972,plain,
    ( ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) )
   <= ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13971]) ).

thf(zip_derived_cl13974,plain,
    ( ( ~ ( element @ ( meet_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) )
      | ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
       != ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) )
   <= ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl13972]) ).

thf(zip_derived_cl13980,plain,
    ( ~ ( element @ ( meet_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) )
   <= ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl13974]) ).

thf('3',plain,
    ( ~ ( element @ ( complements_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ ( powerset @ sk__4 ) ) )
    | ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
     != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl13971]) ).

thf('4',plain,
    ( ( set_difference @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) )
   != ( subset_complement @ sk__4 @ ( meet_of_subsets @ sk__4 @ sk__5 ) ) ),
    inference('sat_resolution*',[status(thm)],['0','3']) ).

thf(zip_derived_cl13981,plain,
    ~ ( element @ ( meet_of_subsets @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl13980,'4']) ).

thf(zip_derived_cl14018,plain,
    ~ ( element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl13981]) ).

thf(zip_derived_cl93_007,plain,
    element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14022,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl14018,zip_derived_cl93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU328+1 : 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.VsF7lYuhKG true
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 17:38:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.15/2.60  % Solved by fo/fo1_av.sh.
% 14.15/2.60  % done 3999 iterations in 1.820s
% 14.15/2.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.15/2.60  % SZS output start Refutation
% See solution above
% 14.15/2.60  
% 14.15/2.60  
% 14.15/2.60  % Terminating...
% 14.27/2.68  % Runner terminated.
% 14.27/2.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------