TSTP Solution File: SEU359+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU359+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.bsI6h8uLOQ true

% Computer : n017.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 19:12:23 EDT 2023

% Result   : Theorem 1.37s 1.31s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  141 (  46 unt;  13 typ;   0 def)
%            Number of atoms       :  404 (  75 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 1453 ( 203   ~; 227   |;  18   &; 974   @)
%                                         (   2 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :   93 (   0   ^;  92   !;   1   ?;  93   :)

% Comments : 
%------------------------------------------------------------------------------
thf(antisymmetric_relstr_type,type,
    antisymmetric_relstr: $i > $o ).

thf(rel_str_type,type,
    rel_str: $i > $o ).

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

thf(sk__14_type,type,
    sk__14: $i ).

thf(ex_sup_of_relstr_set_type,type,
    ex_sup_of_relstr_set: $i > $i > $o ).

thf(join_on_relstr_type,type,
    join_on_relstr: $i > $i > $i ).

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

thf(related_type,type,
    related: $i > $i > $i > $o ).

thf(relstr_set_smaller_type,type,
    relstr_set_smaller: $i > $i > $i > $o ).

thf(sk__12_type,type,
    sk__12: $i ).

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

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(t30_yellow_0,conjecture,
    ! [A: $i] :
      ( ( ( antisymmetric_relstr @ A )
        & ( rel_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ! [C: $i] :
              ( ( ( ( relstr_set_smaller @ A @ C @ B )
                  & ! [D: $i] :
                      ( ( element @ D @ ( the_carrier @ A ) )
                     => ( ( relstr_set_smaller @ A @ C @ D )
                       => ( related @ A @ B @ D ) ) ) )
               => ( ( B
                    = ( join_on_relstr @ A @ C ) )
                  & ( ex_sup_of_relstr_set @ A @ C ) ) )
              & ( ( ( B
                    = ( join_on_relstr @ A @ C ) )
                  & ( ex_sup_of_relstr_set @ A @ C ) )
               => ( ( relstr_set_smaller @ A @ C @ B )
                  & ! [D: $i] :
                      ( ( element @ D @ ( the_carrier @ A ) )
                     => ( ( relstr_set_smaller @ A @ C @ D )
                       => ( related @ A @ B @ D ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( antisymmetric_relstr @ A )
          & ( rel_str @ A ) )
       => ! [B: $i] :
            ( ( element @ B @ ( the_carrier @ A ) )
           => ! [C: $i] :
                ( ( ( ( relstr_set_smaller @ A @ C @ B )
                    & ! [D: $i] :
                        ( ( element @ D @ ( the_carrier @ A ) )
                       => ( ( relstr_set_smaller @ A @ C @ D )
                         => ( related @ A @ B @ D ) ) ) )
                 => ( ( B
                      = ( join_on_relstr @ A @ C ) )
                    & ( ex_sup_of_relstr_set @ A @ C ) ) )
                & ( ( ( B
                      = ( join_on_relstr @ A @ C ) )
                    & ( ex_sup_of_relstr_set @ A @ C ) )
                 => ( ( relstr_set_smaller @ A @ C @ B )
                    & ! [D: $i] :
                        ( ( element @ D @ ( the_carrier @ A ) )
                       => ( ( relstr_set_smaller @ A @ C @ D )
                         => ( related @ A @ B @ D ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t30_yellow_0]) ).

thf(zip_derived_cl76,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d9_yellow_0,axiom,
    ! [A: $i] :
      ( ( rel_str @ A )
     => ! [B: $i,C: $i] :
          ( ( element @ C @ ( the_carrier @ A ) )
         => ( ( ex_sup_of_relstr_set @ A @ B )
           => ( ( C
                = ( join_on_relstr @ A @ B ) )
            <=> ( ( relstr_set_smaller @ A @ B @ C )
                & ! [D: $i] :
                    ( ( element @ D @ ( the_carrier @ A ) )
                   => ( ( relstr_set_smaller @ A @ B @ D )
                     => ( related @ A @ C @ D ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ( relstr_set_smaller @ X0 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl535,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( rel_str @ sk__11 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl30]) ).

thf(zip_derived_cl73,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl547,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl535,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl548,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl547]) ).

thf(zip_derived_cl87,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t15_yellow_0,axiom,
    ! [A: $i] :
      ( ( ( antisymmetric_relstr @ A )
        & ( rel_str @ A ) )
     => ! [B: $i] :
          ( ( ex_sup_of_relstr_set @ A @ B )
        <=> ? [C: $i] :
              ( ! [D: $i] :
                  ( ( element @ D @ ( the_carrier @ A ) )
                 => ( ( relstr_set_smaller @ A @ B @ D )
                   => ( related @ A @ C @ D ) ) )
              & ( relstr_set_smaller @ A @ B @ C )
              & ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( element @ ( sk__9 @ X0 @ X1 @ X2 ) @ ( the_carrier @ X2 ) )
      | ~ ( relstr_set_smaller @ X2 @ X1 @ X0 )
      | ~ ( element @ X0 @ ( the_carrier @ X2 ) )
      | ( ex_sup_of_relstr_set @ X2 @ X1 )
      | ~ ( rel_str @ X2 )
      | ~ ( antisymmetric_relstr @ X2 ) ),
    inference(cnf,[status(esa)],[t15_yellow_0]) ).

thf(zip_derived_cl1589,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( antisymmetric_relstr @ sk__11 )
    | ~ ( rel_str @ sk__11 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
    | ( element @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl60]) ).

thf(zip_derived_cl72,plain,
    antisymmetric_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_001,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_002,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1624,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( element @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1589,zip_derived_cl72,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl1625,plain,
    ( ( element @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) @ ( the_carrier @ sk__11 ) )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1624]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ sk__12 @ X0 )
      | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ X0 )
      | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1643,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) )
    | ( related @ sk__11 @ sk__12 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1625,zip_derived_cl82]) ).

thf(zip_derived_cl1666,plain,
    ( ( related @ sk__11 @ sk__12 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1643]) ).

thf(zip_derived_cl87_003,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( relstr_set_smaller @ X0 @ X1 @ ( sk__9 @ X2 @ X1 @ X0 ) )
      | ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 )
      | ~ ( antisymmetric_relstr @ X0 ) ),
    inference(cnf,[status(esa)],[t15_yellow_0]) ).

thf(zip_derived_cl935,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( antisymmetric_relstr @ sk__11 )
    | ~ ( rel_str @ sk__11 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl62]) ).

thf(zip_derived_cl72_004,plain,
    antisymmetric_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_005,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_006,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl948,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl935,zip_derived_cl72,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl949,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl948]) ).

thf(zip_derived_cl1670,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( related @ sk__11 @ sk__12 @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1666,zip_derived_cl949]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( related @ X0 @ X1 @ ( sk__9 @ X1 @ X2 @ X0 ) )
      | ~ ( relstr_set_smaller @ X0 @ X2 @ X1 )
      | ~ ( element @ X1 @ ( the_carrier @ X0 ) )
      | ( ex_sup_of_relstr_set @ X0 @ X2 )
      | ~ ( rel_str @ X0 )
      | ~ ( antisymmetric_relstr @ X0 ) ),
    inference(cnf,[status(esa)],[t15_yellow_0]) ).

thf(zip_derived_cl1671,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( antisymmetric_relstr @ sk__11 )
    | ~ ( rel_str @ sk__11 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1670,zip_derived_cl61]) ).

thf(zip_derived_cl72_007,plain,
    antisymmetric_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_008,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_009,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1674,plain,
    ( ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl72,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl1675,plain,
    ( ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1674]) ).

thf(zip_derived_cl87_010,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl1680,plain,
    ( ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl1676]) ).

thf(dt_k1_yellow_0,axiom,
    ! [A: $i,B: $i] :
      ( ( rel_str @ A )
     => ( element @ ( join_on_relstr @ A @ B ) @ ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ( element @ ( join_on_relstr @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_yellow_0]) ).

thf(zip_derived_cl89_011,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t25_orders_2,axiom,
    ! [A: $i] :
      ( ( ( antisymmetric_relstr @ A )
        & ( rel_str @ A ) )
     => ! [B: $i] :
          ( ( element @ B @ ( the_carrier @ A ) )
         => ! [C: $i] :
              ( ( element @ C @ ( the_carrier @ A ) )
             => ( ( ( related @ A @ B @ C )
                  & ( related @ A @ C @ B ) )
               => ( B = C ) ) ) ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
      | ~ ( related @ X1 @ X0 @ X2 )
      | ~ ( related @ X1 @ X2 @ X0 )
      | ( X0 = X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X1 ) )
      | ~ ( rel_str @ X1 )
      | ~ ( antisymmetric_relstr @ X1 ) ),
    inference(cnf,[status(esa)],[t25_orders_2]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i] :
      ( ~ ( antisymmetric_relstr @ sk__11 )
      | ~ ( rel_str @ sk__11 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( sk__12 = X0 )
      | ~ ( related @ sk__11 @ X0 @ sk__12 )
      | ~ ( related @ sk__11 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl67]) ).

thf(zip_derived_cl72_012,plain,
    antisymmetric_relstr @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73_013,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( sk__12 = X0 )
      | ~ ( related @ sk__11 @ X0 @ sk__12 )
      | ~ ( related @ sk__11 @ sk__12 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl72,zip_derived_cl73]) ).

thf(zip_derived_cl88,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ~ ( relstr_set_smaller @ X0 @ X1 @ X3 )
      | ( related @ X0 @ X2 @ X3 )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl362,plain,
    ! [X0: $i] :
      ( ( sk__12
        = ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( rel_str @ sk__11 )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X0 @ sk__12 )
      | ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl29]) ).

thf(zip_derived_cl73_014,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_015,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i] :
      ( ( sk__12
        = ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X0 @ sk__12 )
      | ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl362,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl89_016,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ( relstr_set_smaller @ X0 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl543,plain,
    ! [X0: $i] :
      ( ~ ( rel_str @ sk__11 )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ( relstr_set_smaller @ sk__11 @ X0 @ sk__12 )
      | ( sk__12
       != ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl30]) ).

thf(zip_derived_cl73_018,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i] :
      ( ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ( relstr_set_smaller @ sk__11 @ X0 @ sk__12 )
      | ( sk__12
       != ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl543,zip_derived_cl73]) ).

thf(zip_derived_cl29_019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ~ ( relstr_set_smaller @ X0 @ X1 @ X3 )
      | ( related @ X0 @ X2 @ X3 )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__12
       != ( join_on_relstr @ sk__11 @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ~ ( rel_str @ sk__11 )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X1 @ sk__12 )
      | ( X1
       != ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl29]) ).

thf(zip_derived_cl73_020,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_021,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl587,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__12
       != ( join_on_relstr @ sk__11 @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X1 @ sk__12 )
      | ( X1
       != ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl588,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( join_on_relstr @ sk__11 @ X0 ) )
      | ( related @ sk__11 @ X1 @ sk__12 )
      | ~ ( element @ X1 @ ( the_carrier @ sk__11 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ X0 )
      | ( sk__12
       != ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl587]) ).

thf(zip_derived_cl965,plain,
    ! [X0: $i] :
      ( ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ( related @ sk__11 @ X0 @ sk__12 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference(clc,[status(thm)],[zip_derived_cl366,zip_derived_cl588]) ).

thf(zip_derived_cl980,plain,
    ! [X0: $i] :
      ( ~ ( related @ sk__11 @ sk__12 @ X0 )
      | ( sk__12 = X0 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl113,zip_derived_cl965]) ).

thf(zip_derived_cl988,plain,
    ! [X0: $i] :
      ( ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( sk__12 = X0 )
      | ~ ( related @ sk__11 @ sk__12 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl980]) ).

thf(zip_derived_cl1676_022,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl1703,plain,
    ! [X0: $i] :
      ( ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( sk__12 = X0 )
      | ~ ( related @ sk__11 @ sk__12 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl1676]) ).

thf(zip_derived_cl30_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ( relstr_set_smaller @ X0 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( element @ ( join_on_relstr @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
      | ( relstr_set_smaller @ X0 @ X1 @ ( join_on_relstr @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl31_024,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ( element @ ( join_on_relstr @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_yellow_0]) ).

thf(zip_derived_cl666,plain,
    ! [X0: $i,X1: $i] :
      ( ( relstr_set_smaller @ X0 @ X1 @ ( join_on_relstr @ X0 @ X1 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl544,zip_derived_cl31]) ).

thf(zip_derived_cl31_025,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel_str @ X0 )
      | ( element @ ( join_on_relstr @ X0 @ X1 ) @ ( the_carrier @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_yellow_0]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ sk__12 @ X0 )
      | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ X0 )
      | ( sk__12
        = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i] :
      ( ~ ( rel_str @ sk__11 )
      | ( sk__12
        = ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ ( join_on_relstr @ sk__11 @ X0 ) )
      | ( related @ sk__11 @ sk__12 @ ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl83]) ).

thf(zip_derived_cl73_026,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ( sk__12
        = ( join_on_relstr @ sk__11 @ sk__13 ) )
      | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ ( join_on_relstr @ sk__11 @ X0 ) )
      | ( related @ sk__11 @ sk__12 @ ( join_on_relstr @ sk__11 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl73]) ).

thf(zip_derived_cl675,plain,
    ( ~ ( rel_str @ sk__11 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( related @ sk__11 @ sk__12 @ ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl191]) ).

thf(zip_derived_cl73_027,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl682,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( related @ sk__11 @ sk__12 @ ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl73]) ).

thf(zip_derived_cl1676_028,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl1691,plain,
    ( ( related @ sk__11 @ sk__12 @ ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl682,zip_derived_cl1676]) ).

thf(zip_derived_cl1940,plain,
    ( ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( element @ ( join_on_relstr @ sk__11 @ sk__13 ) @ ( the_carrier @ sk__11 ) )
    | ( ( join_on_relstr @ sk__11 @ sk__13 )
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1703,zip_derived_cl1691]) ).

thf(zip_derived_cl1942,plain,
    ( ~ ( element @ ( join_on_relstr @ sk__11 @ sk__13 ) @ ( the_carrier @ sk__11 ) )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1940]) ).

thf(zip_derived_cl1945,plain,
    ( ~ ( rel_str @ sk__11 )
    | ( sk__12
      = ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1942]) ).

thf(zip_derived_cl73_029,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1947,plain,
    ( sk__12
    = ( join_on_relstr @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl73]) ).

thf(zip_derived_cl2169,plain,
    ( ( sk__12 != sk__12 )
    | ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1680,zip_derived_cl1947]) ).

thf(zip_derived_cl2170,plain,
    relstr_set_smaller @ sk__11 @ sk__13 @ sk__14,
    inference(simplify,[status(thm)],[zip_derived_cl2169]) ).

thf(zip_derived_cl29_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ~ ( relstr_set_smaller @ X0 @ X1 @ X3 )
      | ( related @ X0 @ X2 @ X3 )
      | ~ ( element @ X3 @ ( the_carrier @ X0 ) )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl2274,plain,
    ! [X0: $i] :
      ( ~ ( rel_str @ sk__11 )
      | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
      | ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ~ ( element @ sk__14 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X0 @ sk__14 )
      | ( X0
       != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2170,zip_derived_cl29]) ).

thf(zip_derived_cl73_031,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676_032,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl74,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ( element @ sk__14 @ ( the_carrier @ sk__11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
       != ( join_on_relstr @ X0 @ X1 ) )
      | ( relstr_set_smaller @ X0 @ X1 @ X2 )
      | ~ ( element @ X2 @ ( the_carrier @ X0 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(cnf,[status(esa)],[d9_yellow_0]) ).

thf(zip_derived_cl534,plain,
    ( ( element @ sk__14 @ ( the_carrier @ sk__11 ) )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( rel_str @ sk__11 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl30]) ).

thf(zip_derived_cl73_034,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89_035,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( element @ sk__14 @ ( the_carrier @ sk__11 ) )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl73,zip_derived_cl89]) ).

thf(zip_derived_cl546,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( element @ sk__14 @ ( the_carrier @ sk__11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl545]) ).

thf(zip_derived_cl1676_036,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl1679,plain,
    ( ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ( element @ sk__14 @ ( the_carrier @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl1676]) ).

thf(zip_derived_cl1947_037,plain,
    ( sk__12
    = ( join_on_relstr @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl73]) ).

thf(zip_derived_cl2167,plain,
    ( ( sk__12 != sk__12 )
    | ( element @ sk__14 @ ( the_carrier @ sk__11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1679,zip_derived_cl1947]) ).

thf(zip_derived_cl2168,plain,
    element @ sk__14 @ ( the_carrier @ sk__11 ),
    inference(simplify,[status(thm)],[zip_derived_cl2167]) ).

thf(zip_derived_cl1947_038,plain,
    ( sk__12
    = ( join_on_relstr @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl73]) ).

thf(zip_derived_cl2279,plain,
    ! [X0: $i] :
      ( ~ ( element @ X0 @ ( the_carrier @ sk__11 ) )
      | ( related @ sk__11 @ X0 @ sk__14 )
      | ( X0 != sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2274,zip_derived_cl73,zip_derived_cl1676,zip_derived_cl2168,zip_derived_cl1947]) ).

thf(zip_derived_cl75,plain,
    ( ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 )
    | ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ~ ( related @ sk__11 @ sk__12 @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676_039,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl1677,plain,
    ( ( sk__12
     != ( join_on_relstr @ sk__11 @ sk__13 ) )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ~ ( related @ sk__11 @ sk__12 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl1676]) ).

thf(zip_derived_cl1947_040,plain,
    ( sk__12
    = ( join_on_relstr @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl73]) ).

thf(zip_derived_cl2165,plain,
    ( ( sk__12 != sk__12 )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ~ ( related @ sk__11 @ sk__12 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1677,zip_derived_cl1947]) ).

thf(zip_derived_cl2166,plain,
    ( ~ ( related @ sk__11 @ sk__12 @ sk__14 )
    | ~ ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2165]) ).

thf(zip_derived_cl1947_041,plain,
    ( sk__12
    = ( join_on_relstr @ sk__11 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1945,zip_derived_cl73]) ).

thf(zip_derived_cl666_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( relstr_set_smaller @ X0 @ X1 @ ( join_on_relstr @ X0 @ X1 ) )
      | ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
      | ~ ( rel_str @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl544,zip_derived_cl31]) ).

thf(zip_derived_cl2185,plain,
    ( ( relstr_set_smaller @ sk__11 @ sk__13 @ sk__12 )
    | ~ ( rel_str @ sk__11 )
    | ~ ( ex_sup_of_relstr_set @ sk__11 @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1947,zip_derived_cl666]) ).

thf(zip_derived_cl73_043,plain,
    rel_str @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1676_044,plain,
    ex_sup_of_relstr_set @ sk__11 @ sk__13,
    inference(clc,[status(thm)],[zip_derived_cl1675,zip_derived_cl87]) ).

thf(zip_derived_cl2208,plain,
    relstr_set_smaller @ sk__11 @ sk__13 @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl2185,zip_derived_cl73,zip_derived_cl1676]) ).

thf(zip_derived_cl2280,plain,
    ~ ( related @ sk__11 @ sk__12 @ sk__14 ),
    inference(demod,[status(thm)],[zip_derived_cl2166,zip_derived_cl2208]) ).

thf(zip_derived_cl3179,plain,
    ( ( sk__12 != sk__12 )
    | ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2279,zip_derived_cl2280]) ).

thf(zip_derived_cl89_045,plain,
    element @ sk__12 @ ( the_carrier @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3233,plain,
    sk__12 != sk__12,
    inference(demod,[status(thm)],[zip_derived_cl3179,zip_derived_cl89]) ).

thf(zip_derived_cl3234,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl3233]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU359+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bsI6h8uLOQ true
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Aug 23 15:00:24 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/1.31  % Solved by fo/fo4.sh.
% 1.37/1.31  % done 458 iterations in 0.517s
% 1.37/1.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/1.31  % SZS output start Refutation
% See solution above
% 1.37/1.31  
% 1.37/1.31  
% 1.37/1.31  % Terminating...
% 5.36/1.37  % Runner terminated.
% 5.36/1.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------