TSTP Solution File: NLP004^12 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP004^12 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.owJvRPjl8q true

% Computer : n018.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 10:17:57 EDT 2023

% Result   : Theorem 94.80s 12.78s
% Output   : Refutation 94.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  249 (  16 unt;  50 typ;   0 def)
%            Number of atoms       : 8162 (  15 equ; 129 cnn)
%            Maximal formula atoms :  292 (  41 avg)
%            Number of connectives : 25415 (1650   ~;1552   |;5088   &;16231   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  115 (  34 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   91 (  91   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   54 (  49 usr;  26 con; 0-3 aty)
%                                         (   0  !!; 879  ??;   0 @@+;   0 @@-)
%            Number of variables   : 1529 ( 952   ^; 494   !;  83   ?;1529   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf('#sk14_type',type,
    '#sk14': $i ).

thf(way_type,type,
    way: $i > mworld > $o ).

thf(front_type,type,
    front: $i > mworld > $o ).

thf(qmltpeq_type,type,
    qmltpeq: $i > $i > mworld > $o ).

thf(car_type,type,
    car: $i > mworld > $o ).

thf(hollywood_type,type,
    hollywood: $i > mworld > $o ).

thf(fellow_type,type,
    fellow: $i > mworld > $o ).

thf(mimplies_type,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(mexists_di_type,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf('#sk18_type',type,
    '#sk18': $i ).

thf('#sk12_type',type,
    '#sk12': $i ).

thf(barrel_type,type,
    barrel: $i > $i > mworld > $o ).

thf(seat_type,type,
    seat: $i > mworld > $o ).

thf(dirty_type,type,
    dirty: $i > mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

thf('#sk9_type',type,
    '#sk9': $i ).

thf(mand_type,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf('#sk3_type',type,
    '#sk3': $i ).

thf(white_type,type,
    white: $i > mworld > $o ).

thf('#form2_type',type,
    '#form2': $o ).

thf(event_type,type,
    event: $i > mworld > $o ).

thf(young_type,type,
    young: $i > mworld > $o ).

thf(street_type,type,
    street: $i > mworld > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(down_type,type,
    down: $i > $i > mworld > $o ).

thf(lonely_type,type,
    lonely: $i > mworld > $o ).

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

thf('#sk13_type',type,
    '#sk13': $i ).

thf('#sk20_type',type,
    '#sk20': $i ).

thf('#sk4_type',type,
    '#sk4': $i ).

thf(mnot_type,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf('#sk16_type',type,
    '#sk16': $i ).

thf(chevy_type,type,
    chevy: $i > mworld > $o ).

thf(mlocal_type,type,
    mlocal: ( mworld > $o ) > $o ).

thf(city_type,type,
    city: $i > mworld > $o ).

thf(man_type,type,
    man: $i > mworld > $o ).

thf('#sk21_type',type,
    '#sk21': $i ).

thf(furniture_type,type,
    furniture: $i > mworld > $o ).

thf('#sk7_type',type,
    '#sk7': $i ).

thf(eiw_di_type,type,
    eiw_di: $i > mworld > $o ).

thf('#sk6_type',type,
    '#sk6': $i ).

thf('#sk8_type',type,
    '#sk8': $i ).

thf('#sk19_type',type,
    '#sk19': $i ).

thf(old_type,type,
    old: $i > mworld > $o ).

thf('#sk17_type',type,
    '#sk17': $i ).

thf('#sk11_type',type,
    '#sk11': $i ).

thf('#sk5_type',type,
    '#sk5': $i ).

thf('#sk10_type',type,
    '#sk10': $i ).

thf('#sk15_type',type,
    '#sk15': $i ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ) ).

thf('0',plain,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).

thf('1',plain,
    ( mexists_di
    = ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
        ? [X4: $i] :
          ( ( V_1 @ X4 @ V_2 )
          & ( eiw_di @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ) ).

thf('2',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('3',plain,
    ( mimplies
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
         => ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ) ).

thf('4',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('5',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mnot_def,axiom,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ) ).

thf('6',plain,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).

thf('7',plain,
    ( mnot
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('8',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('9',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(co1,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [U: $i] :
              ( mexists_di
              @ ^ [V: $i] :
                  ( mexists_di
                  @ ^ [W: $i] :
                      ( mexists_di
                      @ ^ [X: $i] :
                          ( mexists_di
                          @ ^ [Y: $i] :
                              ( mexists_di
                              @ ^ [Z: $i] :
                                  ( mexists_di
                                  @ ^ [X1: $i] :
                                      ( mexists_di
                                      @ ^ [X2: $i] :
                                          ( mexists_di
                                          @ ^ [X4: $i] :
                                              ( mexists_di
                                              @ ^ [X5: $i] : ( mand @ ( seat @ U ) @ ( mand @ ( furniture @ U ) @ ( mand @ ( front @ U ) @ ( mand @ ( seat @ V ) @ ( mand @ ( furniture @ V ) @ ( mand @ ( front @ V ) @ ( mand @ ( hollywood @ W ) @ ( mand @ ( city @ W ) @ ( mand @ ( event @ X ) @ ( mand @ ( street @ Y ) @ ( mand @ ( way @ Y ) @ ( mand @ ( lonely @ Y ) @ ( mand @ ( chevy @ Z ) @ ( mand @ ( car @ Z ) @ ( mand @ ( white @ Z ) @ ( mand @ ( dirty @ Z ) @ ( mand @ ( old @ Z ) @ ( mand @ ( barrel @ X @ Z ) @ ( mand @ ( down @ X @ Y ) @ ( mand @ ( in @ X @ W ) @ ( mand @ ( mnot @ ( qmltpeq @ X1 @ X2 ) ) @ ( mand @ ( fellow @ X1 ) @ ( mand @ ( man @ X1 ) @ ( mand @ ( young @ X1 ) @ ( mand @ ( fellow @ X2 ) @ ( mand @ ( man @ X2 ) @ ( mand @ ( young @ X2 ) @ ( mand @ ( qmltpeq @ X1 @ X4 ) @ ( mand @ ( in @ X4 @ U ) @ ( mand @ ( qmltpeq @ X2 @ X5 ) @ ( in @ X5 @ V ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X6: $i] :
              ( mexists_di
              @ ^ [X7: $i] :
                  ( mexists_di
                  @ ^ [X8: $i] :
                      ( mexists_di
                      @ ^ [X9: $i] :
                          ( mexists_di
                          @ ^ [X10: $i] :
                              ( mexists_di
                              @ ^ [X11: $i] :
                                  ( mexists_di
                                  @ ^ [X12: $i] :
                                      ( mexists_di
                                      @ ^ [X13: $i] :
                                          ( mexists_di
                                          @ ^ [X15: $i] :
                                              ( mexists_di
                                              @ ^ [X16: $i] : ( mand @ ( seat @ X6 ) @ ( mand @ ( furniture @ X6 ) @ ( mand @ ( front @ X6 ) @ ( mand @ ( seat @ X7 ) @ ( mand @ ( furniture @ X7 ) @ ( mand @ ( front @ X7 ) @ ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( mand @ ( in @ X9 @ X8 ) @ ( mand @ ( mnot @ ( qmltpeq @ X12 @ X13 ) ) @ ( mand @ ( fellow @ X12 ) @ ( mand @ ( man @ X12 ) @ ( mand @ ( young @ X12 ) @ ( mand @ ( fellow @ X13 ) @ ( mand @ ( man @ X13 ) @ ( mand @ ( young @ X13 ) @ ( mand @ ( qmltpeq @ X12 @ X15 ) @ ( mand @ ( in @ X15 @ X6 ) @ ( mand @ ( qmltpeq @ X13 @ X16 ) @ ( in @ X16 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mimplies
        @ ( mexists_di
          @ ^ [X17: $i] :
              ( mexists_di
              @ ^ [X18: $i] :
                  ( mexists_di
                  @ ^ [X19: $i] :
                      ( mexists_di
                      @ ^ [X20: $i] :
                          ( mexists_di
                          @ ^ [X21: $i] :
                              ( mexists_di
                              @ ^ [X22: $i] :
                                  ( mexists_di
                                  @ ^ [X23: $i] :
                                      ( mexists_di
                                      @ ^ [X24: $i] :
                                          ( mexists_di
                                          @ ^ [X26: $i] :
                                              ( mexists_di
                                              @ ^ [X27: $i] : ( mand @ ( seat @ X17 ) @ ( mand @ ( furniture @ X17 ) @ ( mand @ ( front @ X17 ) @ ( mand @ ( seat @ X18 ) @ ( mand @ ( furniture @ X18 ) @ ( mand @ ( front @ X18 ) @ ( mand @ ( hollywood @ X19 ) @ ( mand @ ( city @ X19 ) @ ( mand @ ( event @ X20 ) @ ( mand @ ( chevy @ X21 ) @ ( mand @ ( car @ X21 ) @ ( mand @ ( white @ X21 ) @ ( mand @ ( dirty @ X21 ) @ ( mand @ ( old @ X21 ) @ ( mand @ ( street @ X22 ) @ ( mand @ ( way @ X22 ) @ ( mand @ ( lonely @ X22 ) @ ( mand @ ( barrel @ X20 @ X21 ) @ ( mand @ ( down @ X20 @ X22 ) @ ( mand @ ( in @ X20 @ X19 ) @ ( mand @ ( mnot @ ( qmltpeq @ X23 @ X24 ) ) @ ( mand @ ( fellow @ X23 ) @ ( mand @ ( man @ X23 ) @ ( mand @ ( young @ X23 ) @ ( mand @ ( fellow @ X24 ) @ ( mand @ ( man @ X24 ) @ ( mand @ ( young @ X24 ) @ ( mand @ ( qmltpeq @ X23 @ X26 ) @ ( mand @ ( in @ X26 @ X17 ) @ ( mand @ ( qmltpeq @ X24 @ X27 ) @ ( in @ X27 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [X28: $i] :
              ( mexists_di
              @ ^ [X29: $i] :
                  ( mexists_di
                  @ ^ [X30: $i] :
                      ( mexists_di
                      @ ^ [X31: $i] :
                          ( mexists_di
                          @ ^ [X32: $i] :
                              ( mexists_di
                              @ ^ [X33: $i] :
                                  ( mexists_di
                                  @ ^ [X34: $i] :
                                      ( mexists_di
                                      @ ^ [X35: $i] :
                                          ( mexists_di
                                          @ ^ [X37: $i] :
                                              ( mexists_di
                                              @ ^ [X38: $i] : ( mand @ ( seat @ X28 ) @ ( mand @ ( furniture @ X28 ) @ ( mand @ ( front @ X28 ) @ ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( hollywood @ X30 ) @ ( mand @ ( city @ X30 ) @ ( mand @ ( event @ X31 ) @ ( mand @ ( street @ X32 ) @ ( mand @ ( way @ X32 ) @ ( mand @ ( lonely @ X32 ) @ ( mand @ ( chevy @ X33 ) @ ( mand @ ( car @ X33 ) @ ( mand @ ( white @ X33 ) @ ( mand @ ( dirty @ X33 ) @ ( mand @ ( old @ X33 ) @ ( mand @ ( barrel @ X31 @ X33 ) @ ( mand @ ( down @ X31 @ X32 ) @ ( mand @ ( in @ X31 @ X30 ) @ ( mand @ ( mnot @ ( qmltpeq @ X34 @ X35 ) ) @ ( mand @ ( fellow @ X34 ) @ ( mand @ ( man @ X34 ) @ ( mand @ ( young @ X34 ) @ ( mand @ ( fellow @ X35 ) @ ( mand @ ( man @ X35 ) @ ( mand @ ( young @ X35 ) @ ( mand @ ( qmltpeq @ X34 @ X37 ) @ ( mand @ ( in @ X37 @ X28 ) @ ( mand @ ( qmltpeq @ X35 @ X38 ) @ ( in @ X38 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ( ? [X4: $i] :
          ( ( eiw_di @ X4 @ mactual )
          & ? [X6: $i] :
              ( ( eiw_di @ X6 @ mactual )
              & ? [X8: $i] :
                  ( ( eiw_di @ X8 @ mactual )
                  & ? [X10: $i] :
                      ( ( eiw_di @ X10 @ mactual )
                      & ? [X12: $i] :
                          ( ( eiw_di @ X12 @ mactual )
                          & ? [X14: $i] :
                              ( ( eiw_di @ X14 @ mactual )
                              & ? [X16: $i] :
                                  ( ( eiw_di @ X16 @ mactual )
                                  & ? [X18: $i] :
                                      ( ( eiw_di @ X18 @ mactual )
                                      & ? [X20: $i] :
                                          ( ( eiw_di @ X20 @ mactual )
                                          & ? [X22: $i] :
                                              ( ( eiw_di @ X22 @ mactual )
                                              & ( in @ X22 @ X6 @ mactual )
                                              & ( qmltpeq @ X18 @ X22 @ mactual )
                                              & ( in @ X20 @ X4 @ mactual )
                                              & ( qmltpeq @ X16 @ X20 @ mactual )
                                              & ( young @ X18 @ mactual )
                                              & ( man @ X18 @ mactual )
                                              & ( fellow @ X18 @ mactual )
                                              & ( young @ X16 @ mactual )
                                              & ( man @ X16 @ mactual )
                                              & ( fellow @ X16 @ mactual )
                                              & ~ ( qmltpeq @ X16 @ X18 @ mactual )
                                              & ( in @ X10 @ X8 @ mactual )
                                              & ( down @ X10 @ X12 @ mactual )
                                              & ( barrel @ X10 @ X14 @ mactual )
                                              & ( old @ X14 @ mactual )
                                              & ( dirty @ X14 @ mactual )
                                              & ( white @ X14 @ mactual )
                                              & ( car @ X14 @ mactual )
                                              & ( chevy @ X14 @ mactual )
                                              & ( lonely @ X12 @ mactual )
                                              & ( way @ X12 @ mactual )
                                              & ( street @ X12 @ mactual )
                                              & ( event @ X10 @ mactual )
                                              & ( city @ X8 @ mactual )
                                              & ( hollywood @ X8 @ mactual )
                                              & ( front @ X6 @ mactual )
                                              & ( furniture @ X6 @ mactual )
                                              & ( seat @ X6 @ mactual )
                                              & ( front @ X4 @ mactual )
                                              & ( furniture @ X4 @ mactual )
                                              & ( seat @ X4 @ mactual ) ) ) ) ) ) ) ) ) ) )
     => ? [X24: $i] :
          ( ( eiw_di @ X24 @ mactual )
          & ? [X26: $i] :
              ( ( eiw_di @ X26 @ mactual )
              & ? [X28: $i] :
                  ( ( eiw_di @ X28 @ mactual )
                  & ? [X30: $i] :
                      ( ( eiw_di @ X30 @ mactual )
                      & ? [X32: $i] :
                          ( ( eiw_di @ X32 @ mactual )
                          & ? [X34: $i] :
                              ( ( eiw_di @ X34 @ mactual )
                              & ? [X36: $i] :
                                  ( ( eiw_di @ X36 @ mactual )
                                  & ? [X38: $i] :
                                      ( ( eiw_di @ X38 @ mactual )
                                      & ? [X40: $i] :
                                          ( ( eiw_di @ X40 @ mactual )
                                          & ? [X42: $i] :
                                              ( ( eiw_di @ X42 @ mactual )
                                              & ( in @ X42 @ X26 @ mactual )
                                              & ( qmltpeq @ X38 @ X42 @ mactual )
                                              & ( in @ X40 @ X24 @ mactual )
                                              & ( qmltpeq @ X36 @ X40 @ mactual )
                                              & ( young @ X38 @ mactual )
                                              & ( man @ X38 @ mactual )
                                              & ( fellow @ X38 @ mactual )
                                              & ( young @ X36 @ mactual )
                                              & ( man @ X36 @ mactual )
                                              & ( fellow @ X36 @ mactual )
                                              & ~ ( qmltpeq @ X36 @ X38 @ mactual )
                                              & ( in @ X30 @ X28 @ mactual )
                                              & ( down @ X30 @ X34 @ mactual )
                                              & ( barrel @ X30 @ X32 @ mactual )
                                              & ( lonely @ X34 @ mactual )
                                              & ( way @ X34 @ mactual )
                                              & ( street @ X34 @ mactual )
                                              & ( old @ X32 @ mactual )
                                              & ( dirty @ X32 @ mactual )
                                              & ( white @ X32 @ mactual )
                                              & ( car @ X32 @ mactual )
                                              & ( chevy @ X32 @ mactual )
                                              & ( event @ X30 @ mactual )
                                              & ( city @ X28 @ mactual )
                                              & ( hollywood @ X28 @ mactual )
                                              & ( front @ X26 @ mactual )
                                              & ( furniture @ X26 @ mactual )
                                              & ( seat @ X26 @ mactual )
                                              & ( front @ X24 @ mactual )
                                              & ( furniture @ X24 @ mactual )
                                              & ( seat @ X24 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
    & ( ? [X44: $i] :
          ( ( eiw_di @ X44 @ mactual )
          & ? [X46: $i] :
              ( ( eiw_di @ X46 @ mactual )
              & ? [X48: $i] :
                  ( ( eiw_di @ X48 @ mactual )
                  & ? [X50: $i] :
                      ( ( eiw_di @ X50 @ mactual )
                      & ? [X52: $i] :
                          ( ( eiw_di @ X52 @ mactual )
                          & ? [X54: $i] :
                              ( ( eiw_di @ X54 @ mactual )
                              & ? [X56: $i] :
                                  ( ( eiw_di @ X56 @ mactual )
                                  & ? [X58: $i] :
                                      ( ( eiw_di @ X58 @ mactual )
                                      & ? [X60: $i] :
                                          ( ( eiw_di @ X60 @ mactual )
                                          & ? [X62: $i] :
                                              ( ( eiw_di @ X62 @ mactual )
                                              & ( in @ X62 @ X46 @ mactual )
                                              & ( qmltpeq @ X58 @ X62 @ mactual )
                                              & ( in @ X60 @ X44 @ mactual )
                                              & ( qmltpeq @ X56 @ X60 @ mactual )
                                              & ( young @ X58 @ mactual )
                                              & ( man @ X58 @ mactual )
                                              & ( fellow @ X58 @ mactual )
                                              & ( young @ X56 @ mactual )
                                              & ( man @ X56 @ mactual )
                                              & ( fellow @ X56 @ mactual )
                                              & ~ ( qmltpeq @ X56 @ X58 @ mactual )
                                              & ( in @ X50 @ X48 @ mactual )
                                              & ( down @ X50 @ X54 @ mactual )
                                              & ( barrel @ X50 @ X52 @ mactual )
                                              & ( lonely @ X54 @ mactual )
                                              & ( way @ X54 @ mactual )
                                              & ( street @ X54 @ mactual )
                                              & ( old @ X52 @ mactual )
                                              & ( dirty @ X52 @ mactual )
                                              & ( white @ X52 @ mactual )
                                              & ( car @ X52 @ mactual )
                                              & ( chevy @ X52 @ mactual )
                                              & ( event @ X50 @ mactual )
                                              & ( city @ X48 @ mactual )
                                              & ( hollywood @ X48 @ mactual )
                                              & ( front @ X46 @ mactual )
                                              & ( furniture @ X46 @ mactual )
                                              & ( seat @ X46 @ mactual )
                                              & ( front @ X44 @ mactual )
                                              & ( furniture @ X44 @ mactual )
                                              & ( seat @ X44 @ mactual ) ) ) ) ) ) ) ) ) ) )
     => ? [X64: $i] :
          ( ( eiw_di @ X64 @ mactual )
          & ? [X66: $i] :
              ( ( eiw_di @ X66 @ mactual )
              & ? [X68: $i] :
                  ( ( eiw_di @ X68 @ mactual )
                  & ? [X70: $i] :
                      ( ( eiw_di @ X70 @ mactual )
                      & ? [X72: $i] :
                          ( ( eiw_di @ X72 @ mactual )
                          & ? [X74: $i] :
                              ( ( eiw_di @ X74 @ mactual )
                              & ? [X76: $i] :
                                  ( ( eiw_di @ X76 @ mactual )
                                  & ? [X78: $i] :
                                      ( ( eiw_di @ X78 @ mactual )
                                      & ? [X80: $i] :
                                          ( ( eiw_di @ X80 @ mactual )
                                          & ? [X82: $i] :
                                              ( ( eiw_di @ X82 @ mactual )
                                              & ( in @ X82 @ X66 @ mactual )
                                              & ( qmltpeq @ X78 @ X82 @ mactual )
                                              & ( in @ X80 @ X64 @ mactual )
                                              & ( qmltpeq @ X76 @ X80 @ mactual )
                                              & ( young @ X78 @ mactual )
                                              & ( man @ X78 @ mactual )
                                              & ( fellow @ X78 @ mactual )
                                              & ( young @ X76 @ mactual )
                                              & ( man @ X76 @ mactual )
                                              & ( fellow @ X76 @ mactual )
                                              & ~ ( qmltpeq @ X76 @ X78 @ mactual )
                                              & ( in @ X70 @ X68 @ mactual )
                                              & ( down @ X70 @ X72 @ mactual )
                                              & ( barrel @ X70 @ X74 @ mactual )
                                              & ( old @ X74 @ mactual )
                                              & ( dirty @ X74 @ mactual )
                                              & ( white @ X74 @ mactual )
                                              & ( car @ X74 @ mactual )
                                              & ( chevy @ X74 @ mactual )
                                              & ( lonely @ X72 @ mactual )
                                              & ( way @ X72 @ mactual )
                                              & ( street @ X72 @ mactual )
                                              & ( event @ X70 @ mactual )
                                              & ( city @ X68 @ mactual )
                                              & ( hollywood @ X68 @ mactual )
                                              & ( front @ X66 @ mactual )
                                              & ( furniture @ X66 @ mactual )
                                              & ( seat @ X66 @ mactual )
                                              & ( front @ X64 @ mactual )
                                              & ( furniture @ X64 @ mactual )
                                              & ( seat @ X64 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ( ? [X4: $i] :
            ( ( eiw_di @ X4 @ mactual )
            & ? [X6: $i] :
                ( ( eiw_di @ X6 @ mactual )
                & ? [X8: $i] :
                    ( ( eiw_di @ X8 @ mactual )
                    & ? [X10: $i] :
                        ( ( eiw_di @ X10 @ mactual )
                        & ? [X12: $i] :
                            ( ( eiw_di @ X12 @ mactual )
                            & ? [X14: $i] :
                                ( ( eiw_di @ X14 @ mactual )
                                & ? [X16: $i] :
                                    ( ( eiw_di @ X16 @ mactual )
                                    & ? [X18: $i] :
                                        ( ( eiw_di @ X18 @ mactual )
                                        & ? [X20: $i] :
                                            ( ( eiw_di @ X20 @ mactual )
                                            & ? [X22: $i] :
                                                ( ( eiw_di @ X22 @ mactual )
                                                & ( in @ X22 @ X6 @ mactual )
                                                & ( qmltpeq @ X18 @ X22 @ mactual )
                                                & ( in @ X20 @ X4 @ mactual )
                                                & ( qmltpeq @ X16 @ X20 @ mactual )
                                                & ( young @ X18 @ mactual )
                                                & ( man @ X18 @ mactual )
                                                & ( fellow @ X18 @ mactual )
                                                & ( young @ X16 @ mactual )
                                                & ( man @ X16 @ mactual )
                                                & ( fellow @ X16 @ mactual )
                                                & ~ ( qmltpeq @ X16 @ X18 @ mactual )
                                                & ( in @ X10 @ X8 @ mactual )
                                                & ( down @ X10 @ X12 @ mactual )
                                                & ( barrel @ X10 @ X14 @ mactual )
                                                & ( old @ X14 @ mactual )
                                                & ( dirty @ X14 @ mactual )
                                                & ( white @ X14 @ mactual )
                                                & ( car @ X14 @ mactual )
                                                & ( chevy @ X14 @ mactual )
                                                & ( lonely @ X12 @ mactual )
                                                & ( way @ X12 @ mactual )
                                                & ( street @ X12 @ mactual )
                                                & ( event @ X10 @ mactual )
                                                & ( city @ X8 @ mactual )
                                                & ( hollywood @ X8 @ mactual )
                                                & ( front @ X6 @ mactual )
                                                & ( furniture @ X6 @ mactual )
                                                & ( seat @ X6 @ mactual )
                                                & ( front @ X4 @ mactual )
                                                & ( furniture @ X4 @ mactual )
                                                & ( seat @ X4 @ mactual ) ) ) ) ) ) ) ) ) ) )
       => ? [X24: $i] :
            ( ( eiw_di @ X24 @ mactual )
            & ? [X26: $i] :
                ( ( eiw_di @ X26 @ mactual )
                & ? [X28: $i] :
                    ( ( eiw_di @ X28 @ mactual )
                    & ? [X30: $i] :
                        ( ( eiw_di @ X30 @ mactual )
                        & ? [X32: $i] :
                            ( ( eiw_di @ X32 @ mactual )
                            & ? [X34: $i] :
                                ( ( eiw_di @ X34 @ mactual )
                                & ? [X36: $i] :
                                    ( ( eiw_di @ X36 @ mactual )
                                    & ? [X38: $i] :
                                        ( ( eiw_di @ X38 @ mactual )
                                        & ? [X40: $i] :
                                            ( ( eiw_di @ X40 @ mactual )
                                            & ? [X42: $i] :
                                                ( ( eiw_di @ X42 @ mactual )
                                                & ( in @ X42 @ X26 @ mactual )
                                                & ( qmltpeq @ X38 @ X42 @ mactual )
                                                & ( in @ X40 @ X24 @ mactual )
                                                & ( qmltpeq @ X36 @ X40 @ mactual )
                                                & ( young @ X38 @ mactual )
                                                & ( man @ X38 @ mactual )
                                                & ( fellow @ X38 @ mactual )
                                                & ( young @ X36 @ mactual )
                                                & ( man @ X36 @ mactual )
                                                & ( fellow @ X36 @ mactual )
                                                & ~ ( qmltpeq @ X36 @ X38 @ mactual )
                                                & ( in @ X30 @ X28 @ mactual )
                                                & ( down @ X30 @ X34 @ mactual )
                                                & ( barrel @ X30 @ X32 @ mactual )
                                                & ( lonely @ X34 @ mactual )
                                                & ( way @ X34 @ mactual )
                                                & ( street @ X34 @ mactual )
                                                & ( old @ X32 @ mactual )
                                                & ( dirty @ X32 @ mactual )
                                                & ( white @ X32 @ mactual )
                                                & ( car @ X32 @ mactual )
                                                & ( chevy @ X32 @ mactual )
                                                & ( event @ X30 @ mactual )
                                                & ( city @ X28 @ mactual )
                                                & ( hollywood @ X28 @ mactual )
                                                & ( front @ X26 @ mactual )
                                                & ( furniture @ X26 @ mactual )
                                                & ( seat @ X26 @ mactual )
                                                & ( front @ X24 @ mactual )
                                                & ( furniture @ X24 @ mactual )
                                                & ( seat @ X24 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
      & ( ? [X44: $i] :
            ( ( eiw_di @ X44 @ mactual )
            & ? [X46: $i] :
                ( ( eiw_di @ X46 @ mactual )
                & ? [X48: $i] :
                    ( ( eiw_di @ X48 @ mactual )
                    & ? [X50: $i] :
                        ( ( eiw_di @ X50 @ mactual )
                        & ? [X52: $i] :
                            ( ( eiw_di @ X52 @ mactual )
                            & ? [X54: $i] :
                                ( ( eiw_di @ X54 @ mactual )
                                & ? [X56: $i] :
                                    ( ( eiw_di @ X56 @ mactual )
                                    & ? [X58: $i] :
                                        ( ( eiw_di @ X58 @ mactual )
                                        & ? [X60: $i] :
                                            ( ( eiw_di @ X60 @ mactual )
                                            & ? [X62: $i] :
                                                ( ( eiw_di @ X62 @ mactual )
                                                & ( in @ X62 @ X46 @ mactual )
                                                & ( qmltpeq @ X58 @ X62 @ mactual )
                                                & ( in @ X60 @ X44 @ mactual )
                                                & ( qmltpeq @ X56 @ X60 @ mactual )
                                                & ( young @ X58 @ mactual )
                                                & ( man @ X58 @ mactual )
                                                & ( fellow @ X58 @ mactual )
                                                & ( young @ X56 @ mactual )
                                                & ( man @ X56 @ mactual )
                                                & ( fellow @ X56 @ mactual )
                                                & ~ ( qmltpeq @ X56 @ X58 @ mactual )
                                                & ( in @ X50 @ X48 @ mactual )
                                                & ( down @ X50 @ X54 @ mactual )
                                                & ( barrel @ X50 @ X52 @ mactual )
                                                & ( lonely @ X54 @ mactual )
                                                & ( way @ X54 @ mactual )
                                                & ( street @ X54 @ mactual )
                                                & ( old @ X52 @ mactual )
                                                & ( dirty @ X52 @ mactual )
                                                & ( white @ X52 @ mactual )
                                                & ( car @ X52 @ mactual )
                                                & ( chevy @ X52 @ mactual )
                                                & ( event @ X50 @ mactual )
                                                & ( city @ X48 @ mactual )
                                                & ( hollywood @ X48 @ mactual )
                                                & ( front @ X46 @ mactual )
                                                & ( furniture @ X46 @ mactual )
                                                & ( seat @ X46 @ mactual )
                                                & ( front @ X44 @ mactual )
                                                & ( furniture @ X44 @ mactual )
                                                & ( seat @ X44 @ mactual ) ) ) ) ) ) ) ) ) ) )
       => ? [X64: $i] :
            ( ( eiw_di @ X64 @ mactual )
            & ? [X66: $i] :
                ( ( eiw_di @ X66 @ mactual )
                & ? [X68: $i] :
                    ( ( eiw_di @ X68 @ mactual )
                    & ? [X70: $i] :
                        ( ( eiw_di @ X70 @ mactual )
                        & ? [X72: $i] :
                            ( ( eiw_di @ X72 @ mactual )
                            & ? [X74: $i] :
                                ( ( eiw_di @ X74 @ mactual )
                                & ? [X76: $i] :
                                    ( ( eiw_di @ X76 @ mactual )
                                    & ? [X78: $i] :
                                        ( ( eiw_di @ X78 @ mactual )
                                        & ? [X80: $i] :
                                            ( ( eiw_di @ X80 @ mactual )
                                            & ? [X82: $i] :
                                                ( ( eiw_di @ X82 @ mactual )
                                                & ( in @ X82 @ X66 @ mactual )
                                                & ( qmltpeq @ X78 @ X82 @ mactual )
                                                & ( in @ X80 @ X64 @ mactual )
                                                & ( qmltpeq @ X76 @ X80 @ mactual )
                                                & ( young @ X78 @ mactual )
                                                & ( man @ X78 @ mactual )
                                                & ( fellow @ X78 @ mactual )
                                                & ( young @ X76 @ mactual )
                                                & ( man @ X76 @ mactual )
                                                & ( fellow @ X76 @ mactual )
                                                & ~ ( qmltpeq @ X76 @ X78 @ mactual )
                                                & ( in @ X70 @ X68 @ mactual )
                                                & ( down @ X70 @ X72 @ mactual )
                                                & ( barrel @ X70 @ X74 @ mactual )
                                                & ( old @ X74 @ mactual )
                                                & ( dirty @ X74 @ mactual )
                                                & ( white @ X74 @ mactual )
                                                & ( car @ X74 @ mactual )
                                                & ( chevy @ X74 @ mactual )
                                                & ( lonely @ X72 @ mactual )
                                                & ( way @ X72 @ mactual )
                                                & ( street @ X72 @ mactual )
                                                & ( event @ X70 @ mactual )
                                                & ( city @ X68 @ mactual )
                                                & ( hollywood @ X68 @ mactual )
                                                & ( front @ X66 @ mactual )
                                                & ( furniture @ X66 @ mactual )
                                                & ( seat @ X66 @ mactual )
                                                & ( front @ X64 @ mactual )
                                                & ( furniture @ X64 @ mactual )
                                                & ( seat @ X64 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y4 @ mactual )
                                                                & ( barrel @ Y3 @ Y5 @ mactual )
                                                                & ( old @ Y5 @ mactual )
                                                                & ( dirty @ Y5 @ mactual )
                                                                & ( white @ Y5 @ mactual )
                                                                & ( car @ Y5 @ mactual )
                                                                & ( chevy @ Y5 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y4 @ mactual )
                                                                & ( barrel @ Y3 @ Y5 @ mactual )
                                                                & ( old @ Y5 @ mactual )
                                                                & ( dirty @ Y5 @ mactual )
                                                                & ( white @ Y5 @ mactual )
                                                                & ( car @ Y5 @ mactual )
                                                                & ( chevy @ Y5 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y4 @ mactual )
                                                                & ( barrel @ Y3 @ Y5 @ mactual )
                                                                & ( old @ Y5 @ mactual )
                                                                & ( dirty @ Y5 @ mactual )
                                                                & ( white @ Y5 @ mactual )
                                                                & ( car @ Y5 @ mactual )
                                                                & ( chevy @ Y5 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( (~)
        @ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y4 @ mactual )
                                                                & ( barrel @ Y3 @ Y5 @ mactual )
                                                                & ( old @ Y5 @ mactual )
                                                                & ( dirty @ Y5 @ mactual )
                                                                & ( white @ Y5 @ mactual )
                                                                & ( car @ Y5 @ mactual )
                                                                & ( chevy @ Y5 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( ( eiw_di @ '#sk1' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ '#sk1' @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y3 @ mactual )
                                                            & ( barrel @ Y2 @ Y4 @ mactual )
                                                            & ( old @ Y4 @ mactual )
                                                            & ( dirty @ Y4 @ mactual )
                                                            & ( white @ Y4 @ mactual )
                                                            & ( car @ Y4 @ mactual )
                                                            & ( chevy @ Y4 @ mactual )
                                                            & ( lonely @ Y3 @ mactual )
                                                            & ( way @ Y3 @ mactual )
                                                            & ( street @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ '#sk1' @ mactual )
                                                            & ( furniture @ '#sk1' @ mactual )
                                                            & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ( ( eiw_di @ '#sk1' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl15,plain,
    ( ( ( eiw_di @ '#sk3' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( in @ Y8 @ Y0 @ mactual )
                                                            & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                            & ( in @ Y7 @ '#sk3' @ mactual )
                                                            & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                            & ( young @ Y6 @ mactual )
                                                            & ( man @ Y6 @ mactual )
                                                            & ( fellow @ Y6 @ mactual )
                                                            & ( young @ Y5 @ mactual )
                                                            & ( man @ Y5 @ mactual )
                                                            & ( fellow @ Y5 @ mactual )
                                                            & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                            & ( in @ Y2 @ Y1 @ mactual )
                                                            & ( down @ Y2 @ Y4 @ mactual )
                                                            & ( barrel @ Y2 @ Y3 @ mactual )
                                                            & ( lonely @ Y4 @ mactual )
                                                            & ( way @ Y4 @ mactual )
                                                            & ( street @ Y4 @ mactual )
                                                            & ( old @ Y3 @ mactual )
                                                            & ( dirty @ Y3 @ mactual )
                                                            & ( white @ Y3 @ mactual )
                                                            & ( car @ Y3 @ mactual )
                                                            & ( chevy @ Y3 @ mactual )
                                                            & ( event @ Y2 @ mactual )
                                                            & ( city @ Y1 @ mactual )
                                                            & ( hollywood @ Y1 @ mactual )
                                                            & ( front @ Y0 @ mactual )
                                                            & ( furniture @ Y0 @ mactual )
                                                            & ( seat @ Y0 @ mactual )
                                                            & ( front @ '#sk3' @ mactual )
                                                            & ( furniture @ '#sk3' @ mactual )
                                                            & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl20,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( in @ Y8 @ Y0 @ mactual )
                                                          & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                          & ( in @ Y7 @ '#sk3' @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( young @ Y6 @ mactual )
                                                          & ( man @ Y6 @ mactual )
                                                          & ( fellow @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                          & ( in @ Y2 @ Y1 @ mactual )
                                                          & ( down @ Y2 @ Y4 @ mactual )
                                                          & ( barrel @ Y2 @ Y3 @ mactual )
                                                          & ( lonely @ Y4 @ mactual )
                                                          & ( way @ Y4 @ mactual )
                                                          & ( street @ Y4 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( event @ Y2 @ mactual )
                                                          & ( city @ Y1 @ mactual )
                                                          & ( hollywood @ Y1 @ mactual )
                                                          & ( front @ Y0 @ mactual )
                                                          & ( furniture @ Y0 @ mactual )
                                                          & ( seat @ Y0 @ mactual )
                                                          & ( front @ '#sk3' @ mactual )
                                                          & ( furniture @ '#sk3' @ mactual )
                                                          & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl23,plain,
    ( ( ( eiw_di @ '#sk5' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( in @ Y7 @ '#sk5' @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ '#sk3' @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y3 @ mactual )
                                                      & ( barrel @ Y1 @ Y2 @ mactual )
                                                      & ( lonely @ Y3 @ mactual )
                                                      & ( way @ Y3 @ mactual )
                                                      & ( street @ Y3 @ mactual )
                                                      & ( old @ Y2 @ mactual )
                                                      & ( dirty @ Y2 @ mactual )
                                                      & ( white @ Y2 @ mactual )
                                                      & ( car @ Y2 @ mactual )
                                                      & ( chevy @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ '#sk5' @ mactual )
                                                      & ( furniture @ '#sk5' @ mactual )
                                                      & ( seat @ '#sk5' @ mactual )
                                                      & ( front @ '#sk3' @ mactual )
                                                      & ( furniture @ '#sk3' @ mactual )
                                                      & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl28,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( in @ Y7 @ '#sk5' @ mactual )
                                                    & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                    & ( in @ Y6 @ '#sk3' @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( young @ Y5 @ mactual )
                                                    & ( man @ Y5 @ mactual )
                                                    & ( fellow @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                    & ( in @ Y1 @ Y0 @ mactual )
                                                    & ( down @ Y1 @ Y3 @ mactual )
                                                    & ( barrel @ Y1 @ Y2 @ mactual )
                                                    & ( lonely @ Y3 @ mactual )
                                                    & ( way @ Y3 @ mactual )
                                                    & ( street @ Y3 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( event @ Y1 @ mactual )
                                                    & ( city @ Y0 @ mactual )
                                                    & ( hollywood @ Y0 @ mactual )
                                                    & ( front @ '#sk5' @ mactual )
                                                    & ( furniture @ '#sk5' @ mactual )
                                                    & ( seat @ '#sk5' @ mactual )
                                                    & ( front @ '#sk3' @ mactual )
                                                    & ( furniture @ '#sk3' @ mactual )
                                                    & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl31,plain,
    ( ( ( eiw_di @ '#sk7' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( in @ Y6 @ '#sk5' @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ '#sk3' @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                & ( in @ Y0 @ '#sk7' @ mactual )
                                                & ( down @ Y0 @ Y2 @ mactual )
                                                & ( barrel @ Y0 @ Y1 @ mactual )
                                                & ( lonely @ Y2 @ mactual )
                                                & ( way @ Y2 @ mactual )
                                                & ( street @ Y2 @ mactual )
                                                & ( old @ Y1 @ mactual )
                                                & ( dirty @ Y1 @ mactual )
                                                & ( white @ Y1 @ mactual )
                                                & ( car @ Y1 @ mactual )
                                                & ( chevy @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ '#sk7' @ mactual )
                                                & ( hollywood @ '#sk7' @ mactual )
                                                & ( front @ '#sk5' @ mactual )
                                                & ( furniture @ '#sk5' @ mactual )
                                                & ( seat @ '#sk5' @ mactual )
                                                & ( front @ '#sk3' @ mactual )
                                                & ( furniture @ '#sk3' @ mactual )
                                                & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl36,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( in @ Y6 @ '#sk5' @ mactual )
                                              & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                              & ( in @ Y5 @ '#sk3' @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( young @ Y4 @ mactual )
                                              & ( man @ Y4 @ mactual )
                                              & ( fellow @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                              & ( in @ Y0 @ '#sk7' @ mactual )
                                              & ( down @ Y0 @ Y2 @ mactual )
                                              & ( barrel @ Y0 @ Y1 @ mactual )
                                              & ( lonely @ Y2 @ mactual )
                                              & ( way @ Y2 @ mactual )
                                              & ( street @ Y2 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( event @ Y0 @ mactual )
                                              & ( city @ '#sk7' @ mactual )
                                              & ( hollywood @ '#sk7' @ mactual )
                                              & ( front @ '#sk5' @ mactual )
                                              & ( furniture @ '#sk5' @ mactual )
                                              & ( seat @ '#sk5' @ mactual )
                                              & ( front @ '#sk3' @ mactual )
                                              & ( furniture @ '#sk3' @ mactual )
                                              & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ( ( ( eiw_di @ '#sk9' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( in @ Y5 @ '#sk5' @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ '#sk3' @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                          & ( in @ '#sk9' @ '#sk7' @ mactual )
                                          & ( down @ '#sk9' @ Y1 @ mactual )
                                          & ( barrel @ '#sk9' @ Y0 @ mactual )
                                          & ( lonely @ Y1 @ mactual )
                                          & ( way @ Y1 @ mactual )
                                          & ( street @ Y1 @ mactual )
                                          & ( old @ Y0 @ mactual )
                                          & ( dirty @ Y0 @ mactual )
                                          & ( white @ Y0 @ mactual )
                                          & ( car @ Y0 @ mactual )
                                          & ( chevy @ Y0 @ mactual )
                                          & ( event @ '#sk9' @ mactual )
                                          & ( city @ '#sk7' @ mactual )
                                          & ( hollywood @ '#sk7' @ mactual )
                                          & ( front @ '#sk5' @ mactual )
                                          & ( furniture @ '#sk5' @ mactual )
                                          & ( seat @ '#sk5' @ mactual )
                                          & ( front @ '#sk3' @ mactual )
                                          & ( furniture @ '#sk3' @ mactual )
                                          & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl44,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( in @ Y5 @ '#sk5' @ mactual )
                                        & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                        & ( in @ Y4 @ '#sk3' @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( young @ Y3 @ mactual )
                                        & ( man @ Y3 @ mactual )
                                        & ( fellow @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                        & ( in @ '#sk9' @ '#sk7' @ mactual )
                                        & ( down @ '#sk9' @ Y1 @ mactual )
                                        & ( barrel @ '#sk9' @ Y0 @ mactual )
                                        & ( lonely @ Y1 @ mactual )
                                        & ( way @ Y1 @ mactual )
                                        & ( street @ Y1 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( event @ '#sk9' @ mactual )
                                        & ( city @ '#sk7' @ mactual )
                                        & ( hollywood @ '#sk7' @ mactual )
                                        & ( front @ '#sk5' @ mactual )
                                        & ( furniture @ '#sk5' @ mactual )
                                        & ( seat @ '#sk5' @ mactual )
                                        & ( front @ '#sk3' @ mactual )
                                        & ( furniture @ '#sk3' @ mactual )
                                        & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl47,plain,
    ( ( ( eiw_di @ '#sk11' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( in @ Y4 @ '#sk5' @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ '#sk3' @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                    & ( in @ '#sk9' @ '#sk7' @ mactual )
                                    & ( down @ '#sk9' @ Y0 @ mactual )
                                    & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                                    & ( lonely @ Y0 @ mactual )
                                    & ( way @ Y0 @ mactual )
                                    & ( street @ Y0 @ mactual )
                                    & ( old @ '#sk11' @ mactual )
                                    & ( dirty @ '#sk11' @ mactual )
                                    & ( white @ '#sk11' @ mactual )
                                    & ( car @ '#sk11' @ mactual )
                                    & ( chevy @ '#sk11' @ mactual )
                                    & ( event @ '#sk9' @ mactual )
                                    & ( city @ '#sk7' @ mactual )
                                    & ( hollywood @ '#sk7' @ mactual )
                                    & ( front @ '#sk5' @ mactual )
                                    & ( furniture @ '#sk5' @ mactual )
                                    & ( seat @ '#sk5' @ mactual )
                                    & ( front @ '#sk3' @ mactual )
                                    & ( furniture @ '#sk3' @ mactual )
                                    & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl52,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( in @ Y4 @ '#sk5' @ mactual )
                                  & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                  & ( in @ Y3 @ '#sk3' @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( young @ Y2 @ mactual )
                                  & ( man @ Y2 @ mactual )
                                  & ( fellow @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                  & ( in @ '#sk9' @ '#sk7' @ mactual )
                                  & ( down @ '#sk9' @ Y0 @ mactual )
                                  & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                                  & ( lonely @ Y0 @ mactual )
                                  & ( way @ Y0 @ mactual )
                                  & ( street @ Y0 @ mactual )
                                  & ( old @ '#sk11' @ mactual )
                                  & ( dirty @ '#sk11' @ mactual )
                                  & ( white @ '#sk11' @ mactual )
                                  & ( car @ '#sk11' @ mactual )
                                  & ( chevy @ '#sk11' @ mactual )
                                  & ( event @ '#sk9' @ mactual )
                                  & ( city @ '#sk7' @ mactual )
                                  & ( hollywood @ '#sk7' @ mactual )
                                  & ( front @ '#sk5' @ mactual )
                                  & ( furniture @ '#sk5' @ mactual )
                                  & ( seat @ '#sk5' @ mactual )
                                  & ( front @ '#sk3' @ mactual )
                                  & ( furniture @ '#sk3' @ mactual )
                                  & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl55,plain,
    ( ( ( eiw_di @ '#sk13' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( in @ Y3 @ '#sk5' @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ '#sk3' @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                              & ( in @ '#sk9' @ '#sk7' @ mactual )
                              & ( down @ '#sk9' @ '#sk13' @ mactual )
                              & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                              & ( lonely @ '#sk13' @ mactual )
                              & ( way @ '#sk13' @ mactual )
                              & ( street @ '#sk13' @ mactual )
                              & ( old @ '#sk11' @ mactual )
                              & ( dirty @ '#sk11' @ mactual )
                              & ( white @ '#sk11' @ mactual )
                              & ( car @ '#sk11' @ mactual )
                              & ( chevy @ '#sk11' @ mactual )
                              & ( event @ '#sk9' @ mactual )
                              & ( city @ '#sk7' @ mactual )
                              & ( hollywood @ '#sk7' @ mactual )
                              & ( front @ '#sk5' @ mactual )
                              & ( furniture @ '#sk5' @ mactual )
                              & ( seat @ '#sk5' @ mactual )
                              & ( front @ '#sk3' @ mactual )
                              & ( furniture @ '#sk3' @ mactual )
                              & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl60,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( in @ Y3 @ '#sk5' @ mactual )
                            & ( qmltpeq @ Y1 @ Y3 @ mactual )
                            & ( in @ Y2 @ '#sk3' @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( young @ Y1 @ mactual )
                            & ( man @ Y1 @ mactual )
                            & ( fellow @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                            & ( in @ '#sk9' @ '#sk7' @ mactual )
                            & ( down @ '#sk9' @ '#sk13' @ mactual )
                            & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                            & ( lonely @ '#sk13' @ mactual )
                            & ( way @ '#sk13' @ mactual )
                            & ( street @ '#sk13' @ mactual )
                            & ( old @ '#sk11' @ mactual )
                            & ( dirty @ '#sk11' @ mactual )
                            & ( white @ '#sk11' @ mactual )
                            & ( car @ '#sk11' @ mactual )
                            & ( chevy @ '#sk11' @ mactual )
                            & ( event @ '#sk9' @ mactual )
                            & ( city @ '#sk7' @ mactual )
                            & ( hollywood @ '#sk7' @ mactual )
                            & ( front @ '#sk5' @ mactual )
                            & ( furniture @ '#sk5' @ mactual )
                            & ( seat @ '#sk5' @ mactual )
                            & ( front @ '#sk3' @ mactual )
                            & ( furniture @ '#sk3' @ mactual )
                            & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl63,plain,
    ( ( ( eiw_di @ '#sk15' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ '#sk5' @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ '#sk3' @ mactual )
                        & ( qmltpeq @ '#sk15' @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ '#sk15' @ mactual )
                        & ( man @ '#sk15' @ mactual )
                        & ( fellow @ '#sk15' @ mactual )
                        & ( (~) @ ( qmltpeq @ '#sk15' @ Y0 @ mactual ) )
                        & ( in @ '#sk9' @ '#sk7' @ mactual )
                        & ( down @ '#sk9' @ '#sk13' @ mactual )
                        & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                        & ( lonely @ '#sk13' @ mactual )
                        & ( way @ '#sk13' @ mactual )
                        & ( street @ '#sk13' @ mactual )
                        & ( old @ '#sk11' @ mactual )
                        & ( dirty @ '#sk11' @ mactual )
                        & ( white @ '#sk11' @ mactual )
                        & ( car @ '#sk11' @ mactual )
                        & ( chevy @ '#sk11' @ mactual )
                        & ( event @ '#sk9' @ mactual )
                        & ( city @ '#sk7' @ mactual )
                        & ( hollywood @ '#sk7' @ mactual )
                        & ( front @ '#sk5' @ mactual )
                        & ( furniture @ '#sk5' @ mactual )
                        & ( seat @ '#sk5' @ mactual )
                        & ( front @ '#sk3' @ mactual )
                        & ( furniture @ '#sk3' @ mactual )
                        & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).

thf(zip_derived_cl68,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( in @ Y2 @ '#sk5' @ mactual )
                      & ( qmltpeq @ Y0 @ Y2 @ mactual )
                      & ( in @ Y1 @ '#sk3' @ mactual )
                      & ( qmltpeq @ '#sk15' @ Y1 @ mactual )
                      & ( young @ Y0 @ mactual )
                      & ( man @ Y0 @ mactual )
                      & ( fellow @ Y0 @ mactual )
                      & ( young @ '#sk15' @ mactual )
                      & ( man @ '#sk15' @ mactual )
                      & ( fellow @ '#sk15' @ mactual )
                      & ( (~) @ ( qmltpeq @ '#sk15' @ Y0 @ mactual ) )
                      & ( in @ '#sk9' @ '#sk7' @ mactual )
                      & ( down @ '#sk9' @ '#sk13' @ mactual )
                      & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                      & ( lonely @ '#sk13' @ mactual )
                      & ( way @ '#sk13' @ mactual )
                      & ( street @ '#sk13' @ mactual )
                      & ( old @ '#sk11' @ mactual )
                      & ( dirty @ '#sk11' @ mactual )
                      & ( white @ '#sk11' @ mactual )
                      & ( car @ '#sk11' @ mactual )
                      & ( chevy @ '#sk11' @ mactual )
                      & ( event @ '#sk9' @ mactual )
                      & ( city @ '#sk7' @ mactual )
                      & ( hollywood @ '#sk7' @ mactual )
                      & ( front @ '#sk5' @ mactual )
                      & ( furniture @ '#sk5' @ mactual )
                      & ( seat @ '#sk5' @ mactual )
                      & ( front @ '#sk3' @ mactual )
                      & ( furniture @ '#sk3' @ mactual )
                      & ( seat @ '#sk3' @ mactual ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl71,plain,
    ( ( ( eiw_di @ '#sk17' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ '#sk5' @ mactual )
                  & ( qmltpeq @ '#sk17' @ Y1 @ mactual )
                  & ( in @ Y0 @ '#sk3' @ mactual )
                  & ( qmltpeq @ '#sk15' @ Y0 @ mactual )
                  & ( young @ '#sk17' @ mactual )
                  & ( man @ '#sk17' @ mactual )
                  & ( fellow @ '#sk17' @ mactual )
                  & ( young @ '#sk15' @ mactual )
                  & ( man @ '#sk15' @ mactual )
                  & ( fellow @ '#sk15' @ mactual )
                  & ( (~) @ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual ) )
                  & ( in @ '#sk9' @ '#sk7' @ mactual )
                  & ( down @ '#sk9' @ '#sk13' @ mactual )
                  & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                  & ( lonely @ '#sk13' @ mactual )
                  & ( way @ '#sk13' @ mactual )
                  & ( street @ '#sk13' @ mactual )
                  & ( old @ '#sk11' @ mactual )
                  & ( dirty @ '#sk11' @ mactual )
                  & ( white @ '#sk11' @ mactual )
                  & ( car @ '#sk11' @ mactual )
                  & ( chevy @ '#sk11' @ mactual )
                  & ( event @ '#sk9' @ mactual )
                  & ( city @ '#sk7' @ mactual )
                  & ( hollywood @ '#sk7' @ mactual )
                  & ( front @ '#sk5' @ mactual )
                  & ( furniture @ '#sk5' @ mactual )
                  & ( seat @ '#sk5' @ mactual )
                  & ( front @ '#sk3' @ mactual )
                  & ( furniture @ '#sk3' @ mactual )
                  & ( seat @ '#sk3' @ mactual ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl76,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( in @ Y1 @ '#sk5' @ mactual )
                & ( qmltpeq @ '#sk17' @ Y1 @ mactual )
                & ( in @ Y0 @ '#sk3' @ mactual )
                & ( qmltpeq @ '#sk15' @ Y0 @ mactual )
                & ( young @ '#sk17' @ mactual )
                & ( man @ '#sk17' @ mactual )
                & ( fellow @ '#sk17' @ mactual )
                & ( young @ '#sk15' @ mactual )
                & ( man @ '#sk15' @ mactual )
                & ( fellow @ '#sk15' @ mactual )
                & ( (~) @ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual ) )
                & ( in @ '#sk9' @ '#sk7' @ mactual )
                & ( down @ '#sk9' @ '#sk13' @ mactual )
                & ( barrel @ '#sk9' @ '#sk11' @ mactual )
                & ( lonely @ '#sk13' @ mactual )
                & ( way @ '#sk13' @ mactual )
                & ( street @ '#sk13' @ mactual )
                & ( old @ '#sk11' @ mactual )
                & ( dirty @ '#sk11' @ mactual )
                & ( white @ '#sk11' @ mactual )
                & ( car @ '#sk11' @ mactual )
                & ( chevy @ '#sk11' @ mactual )
                & ( event @ '#sk9' @ mactual )
                & ( city @ '#sk7' @ mactual )
                & ( hollywood @ '#sk7' @ mactual )
                & ( front @ '#sk5' @ mactual )
                & ( furniture @ '#sk5' @ mactual )
                & ( seat @ '#sk5' @ mactual )
                & ( front @ '#sk3' @ mactual )
                & ( furniture @ '#sk3' @ mactual )
                & ( seat @ '#sk3' @ mactual ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl79,plain,
    ( ( ( eiw_di @ '#sk19' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ '#sk5' @ mactual )
            & ( qmltpeq @ '#sk17' @ Y0 @ mactual )
            & ( in @ '#sk19' @ '#sk3' @ mactual )
            & ( qmltpeq @ '#sk15' @ '#sk19' @ mactual )
            & ( young @ '#sk17' @ mactual )
            & ( man @ '#sk17' @ mactual )
            & ( fellow @ '#sk17' @ mactual )
            & ( young @ '#sk15' @ mactual )
            & ( man @ '#sk15' @ mactual )
            & ( fellow @ '#sk15' @ mactual )
            & ( (~) @ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual ) )
            & ( in @ '#sk9' @ '#sk7' @ mactual )
            & ( down @ '#sk9' @ '#sk13' @ mactual )
            & ( barrel @ '#sk9' @ '#sk11' @ mactual )
            & ( lonely @ '#sk13' @ mactual )
            & ( way @ '#sk13' @ mactual )
            & ( street @ '#sk13' @ mactual )
            & ( old @ '#sk11' @ mactual )
            & ( dirty @ '#sk11' @ mactual )
            & ( white @ '#sk11' @ mactual )
            & ( car @ '#sk11' @ mactual )
            & ( chevy @ '#sk11' @ mactual )
            & ( event @ '#sk9' @ mactual )
            & ( city @ '#sk7' @ mactual )
            & ( hollywood @ '#sk7' @ mactual )
            & ( front @ '#sk5' @ mactual )
            & ( furniture @ '#sk5' @ mactual )
            & ( seat @ '#sk5' @ mactual )
            & ( front @ '#sk3' @ mactual )
            & ( furniture @ '#sk3' @ mactual )
            & ( seat @ '#sk3' @ mactual ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl84,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( in @ Y0 @ '#sk5' @ mactual )
          & ( qmltpeq @ '#sk17' @ Y0 @ mactual )
          & ( in @ '#sk19' @ '#sk3' @ mactual )
          & ( qmltpeq @ '#sk15' @ '#sk19' @ mactual )
          & ( young @ '#sk17' @ mactual )
          & ( man @ '#sk17' @ mactual )
          & ( fellow @ '#sk17' @ mactual )
          & ( young @ '#sk15' @ mactual )
          & ( man @ '#sk15' @ mactual )
          & ( fellow @ '#sk15' @ mactual )
          & ( (~) @ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual ) )
          & ( in @ '#sk9' @ '#sk7' @ mactual )
          & ( down @ '#sk9' @ '#sk13' @ mactual )
          & ( barrel @ '#sk9' @ '#sk11' @ mactual )
          & ( lonely @ '#sk13' @ mactual )
          & ( way @ '#sk13' @ mactual )
          & ( street @ '#sk13' @ mactual )
          & ( old @ '#sk11' @ mactual )
          & ( dirty @ '#sk11' @ mactual )
          & ( white @ '#sk11' @ mactual )
          & ( car @ '#sk11' @ mactual )
          & ( chevy @ '#sk11' @ mactual )
          & ( event @ '#sk9' @ mactual )
          & ( city @ '#sk7' @ mactual )
          & ( hollywood @ '#sk7' @ mactual )
          & ( front @ '#sk5' @ mactual )
          & ( furniture @ '#sk5' @ mactual )
          & ( seat @ '#sk5' @ mactual )
          & ( front @ '#sk3' @ mactual )
          & ( furniture @ '#sk3' @ mactual )
          & ( seat @ '#sk3' @ mactual ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl87,plain,
    ( ( ( eiw_di @ '#sk21' @ mactual )
      & ( in @ '#sk21' @ '#sk5' @ mactual )
      & ( qmltpeq @ '#sk17' @ '#sk21' @ mactual )
      & ( in @ '#sk19' @ '#sk3' @ mactual )
      & ( qmltpeq @ '#sk15' @ '#sk19' @ mactual )
      & ( young @ '#sk17' @ mactual )
      & ( man @ '#sk17' @ mactual )
      & ( fellow @ '#sk17' @ mactual )
      & ( young @ '#sk15' @ mactual )
      & ( man @ '#sk15' @ mactual )
      & ( fellow @ '#sk15' @ mactual )
      & ( (~) @ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual ) )
      & ( in @ '#sk9' @ '#sk7' @ mactual )
      & ( down @ '#sk9' @ '#sk13' @ mactual )
      & ( barrel @ '#sk9' @ '#sk11' @ mactual )
      & ( lonely @ '#sk13' @ mactual )
      & ( way @ '#sk13' @ mactual )
      & ( street @ '#sk13' @ mactual )
      & ( old @ '#sk11' @ mactual )
      & ( dirty @ '#sk11' @ mactual )
      & ( white @ '#sk11' @ mactual )
      & ( car @ '#sk11' @ mactual )
      & ( chevy @ '#sk11' @ mactual )
      & ( event @ '#sk9' @ mactual )
      & ( city @ '#sk7' @ mactual )
      & ( hollywood @ '#sk7' @ mactual )
      & ( front @ '#sk5' @ mactual )
      & ( furniture @ '#sk5' @ mactual )
      & ( seat @ '#sk5' @ mactual )
      & ( front @ '#sk3' @ mactual )
      & ( furniture @ '#sk3' @ mactual )
      & ( seat @ '#sk3' @ mactual ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl132,plain,
    ( ~ ( qmltpeq @ '#sk15' @ '#sk17' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl131,plain,
    ( ( fellow @ '#sk15' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl129,plain,
    ( ( young @ '#sk15' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl67,plain,
    ( ( eiw_di @ '#sk15' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl125,plain,
    ( ( qmltpeq @ '#sk15' @ '#sk19' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl130,plain,
    ( ( man @ '#sk15' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl128,plain,
    ( ( fellow @ '#sk17' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl126,plain,
    ( ( young @ '#sk17' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl75,plain,
    ( ( eiw_di @ '#sk17' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl123,plain,
    ( ( qmltpeq @ '#sk17' @ '#sk21' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl127,plain,
    ( ( man @ '#sk17' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl146,plain,
    ( ( hollywood @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl35,plain,
    ( ( eiw_di @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl133,plain,
    ( ( in @ '#sk9' @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl145,plain,
    ( ( city @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl122,plain,
    ( ( in @ '#sk21' @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl12,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( in @ Y8 @ Y0 @ mactual )
                                                          & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                          & ( in @ Y7 @ '#sk1' @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( young @ Y6 @ mactual )
                                                          & ( man @ Y6 @ mactual )
                                                          & ( fellow @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                          & ( in @ Y2 @ Y1 @ mactual )
                                                          & ( down @ Y2 @ Y3 @ mactual )
                                                          & ( barrel @ Y2 @ Y4 @ mactual )
                                                          & ( old @ Y4 @ mactual )
                                                          & ( dirty @ Y4 @ mactual )
                                                          & ( white @ Y4 @ mactual )
                                                          & ( car @ Y4 @ mactual )
                                                          & ( chevy @ Y4 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( event @ Y2 @ mactual )
                                                          & ( city @ Y1 @ mactual )
                                                          & ( hollywood @ Y1 @ mactual )
                                                          & ( front @ Y0 @ mactual )
                                                          & ( furniture @ Y0 @ mactual )
                                                          & ( seat @ Y0 @ mactual )
                                                          & ( front @ '#sk1' @ mactual )
                                                          & ( furniture @ '#sk1' @ mactual )
                                                          & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14_001,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl17,plain,
    ( '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( in @ Y8 @ Y0 @ mactual )
                                                          & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                          & ( in @ Y7 @ '#sk1' @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( young @ Y6 @ mactual )
                                                          & ( man @ Y6 @ mactual )
                                                          & ( fellow @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                          & ( in @ Y2 @ Y1 @ mactual )
                                                          & ( down @ Y2 @ Y3 @ mactual )
                                                          & ( barrel @ Y2 @ Y4 @ mactual )
                                                          & ( old @ Y4 @ mactual )
                                                          & ( dirty @ Y4 @ mactual )
                                                          & ( white @ Y4 @ mactual )
                                                          & ( car @ Y4 @ mactual )
                                                          & ( chevy @ Y4 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( event @ Y2 @ mactual )
                                                          & ( city @ Y1 @ mactual )
                                                          & ( hollywood @ Y1 @ mactual )
                                                          & ( front @ Y0 @ mactual )
                                                          & ( furniture @ Y0 @ mactual )
                                                          & ( seat @ Y0 @ mactual )
                                                          & ( front @ '#sk1' @ mactual )
                                                          & ( furniture @ '#sk1' @ mactual )
                                                          & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl12,zip_derived_cl14]) ).

thf(zip_derived_cl21,plain,
    ( ( ( eiw_di @ '#sk4' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( in @ Y7 @ '#sk4' @ mactual )
                                                      & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                      & ( in @ Y6 @ '#sk1' @ mactual )
                                                      & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                      & ( young @ Y5 @ mactual )
                                                      & ( man @ Y5 @ mactual )
                                                      & ( fellow @ Y5 @ mactual )
                                                      & ( young @ Y4 @ mactual )
                                                      & ( man @ Y4 @ mactual )
                                                      & ( fellow @ Y4 @ mactual )
                                                      & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                      & ( in @ Y1 @ Y0 @ mactual )
                                                      & ( down @ Y1 @ Y2 @ mactual )
                                                      & ( barrel @ Y1 @ Y3 @ mactual )
                                                      & ( old @ Y3 @ mactual )
                                                      & ( dirty @ Y3 @ mactual )
                                                      & ( white @ Y3 @ mactual )
                                                      & ( car @ Y3 @ mactual )
                                                      & ( chevy @ Y3 @ mactual )
                                                      & ( lonely @ Y2 @ mactual )
                                                      & ( way @ Y2 @ mactual )
                                                      & ( street @ Y2 @ mactual )
                                                      & ( event @ Y1 @ mactual )
                                                      & ( city @ Y0 @ mactual )
                                                      & ( hollywood @ Y0 @ mactual )
                                                      & ( front @ '#sk4' @ mactual )
                                                      & ( furniture @ '#sk4' @ mactual )
                                                      & ( seat @ '#sk4' @ mactual )
                                                      & ( front @ '#sk1' @ mactual )
                                                      & ( furniture @ '#sk1' @ mactual )
                                                      & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( in @ Y7 @ '#sk4' @ mactual )
                                                    & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                    & ( in @ Y6 @ '#sk1' @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( young @ Y5 @ mactual )
                                                    & ( man @ Y5 @ mactual )
                                                    & ( fellow @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                    & ( in @ Y1 @ Y0 @ mactual )
                                                    & ( down @ Y1 @ Y2 @ mactual )
                                                    & ( barrel @ Y1 @ Y3 @ mactual )
                                                    & ( old @ Y3 @ mactual )
                                                    & ( dirty @ Y3 @ mactual )
                                                    & ( white @ Y3 @ mactual )
                                                    & ( car @ Y3 @ mactual )
                                                    & ( chevy @ Y3 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( event @ Y1 @ mactual )
                                                    & ( city @ Y0 @ mactual )
                                                    & ( hollywood @ Y0 @ mactual )
                                                    & ( front @ '#sk4' @ mactual )
                                                    & ( furniture @ '#sk4' @ mactual )
                                                    & ( seat @ '#sk4' @ mactual )
                                                    & ( front @ '#sk1' @ mactual )
                                                    & ( furniture @ '#sk1' @ mactual )
                                                    & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    ( ( ( eiw_di @ '#sk6' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( in @ Y6 @ '#sk4' @ mactual )
                                                & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                & ( in @ Y5 @ '#sk1' @ mactual )
                                                & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                & ( young @ Y4 @ mactual )
                                                & ( man @ Y4 @ mactual )
                                                & ( fellow @ Y4 @ mactual )
                                                & ( young @ Y3 @ mactual )
                                                & ( man @ Y3 @ mactual )
                                                & ( fellow @ Y3 @ mactual )
                                                & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                & ( in @ Y0 @ '#sk6' @ mactual )
                                                & ( down @ Y0 @ Y1 @ mactual )
                                                & ( barrel @ Y0 @ Y2 @ mactual )
                                                & ( old @ Y2 @ mactual )
                                                & ( dirty @ Y2 @ mactual )
                                                & ( white @ Y2 @ mactual )
                                                & ( car @ Y2 @ mactual )
                                                & ( chevy @ Y2 @ mactual )
                                                & ( lonely @ Y1 @ mactual )
                                                & ( way @ Y1 @ mactual )
                                                & ( street @ Y1 @ mactual )
                                                & ( event @ Y0 @ mactual )
                                                & ( city @ '#sk6' @ mactual )
                                                & ( hollywood @ '#sk6' @ mactual )
                                                & ( front @ '#sk4' @ mactual )
                                                & ( furniture @ '#sk4' @ mactual )
                                                & ( seat @ '#sk4' @ mactual )
                                                & ( front @ '#sk1' @ mactual )
                                                & ( furniture @ '#sk1' @ mactual )
                                                & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl33,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( in @ Y6 @ '#sk4' @ mactual )
                                              & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                              & ( in @ Y5 @ '#sk1' @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( young @ Y4 @ mactual )
                                              & ( man @ Y4 @ mactual )
                                              & ( fellow @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                              & ( in @ Y0 @ '#sk6' @ mactual )
                                              & ( down @ Y0 @ Y1 @ mactual )
                                              & ( barrel @ Y0 @ Y2 @ mactual )
                                              & ( old @ Y2 @ mactual )
                                              & ( dirty @ Y2 @ mactual )
                                              & ( white @ Y2 @ mactual )
                                              & ( car @ Y2 @ mactual )
                                              & ( chevy @ Y2 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( event @ Y0 @ mactual )
                                              & ( city @ '#sk6' @ mactual )
                                              & ( hollywood @ '#sk6' @ mactual )
                                              & ( front @ '#sk4' @ mactual )
                                              & ( furniture @ '#sk4' @ mactual )
                                              & ( seat @ '#sk4' @ mactual )
                                              & ( front @ '#sk1' @ mactual )
                                              & ( furniture @ '#sk1' @ mactual )
                                              & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl37,plain,
    ( ( ( eiw_di @ '#sk8' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( in @ Y5 @ '#sk4' @ mactual )
                                          & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                          & ( in @ Y4 @ '#sk1' @ mactual )
                                          & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                          & ( young @ Y3 @ mactual )
                                          & ( man @ Y3 @ mactual )
                                          & ( fellow @ Y3 @ mactual )
                                          & ( young @ Y2 @ mactual )
                                          & ( man @ Y2 @ mactual )
                                          & ( fellow @ Y2 @ mactual )
                                          & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                          & ( in @ '#sk8' @ '#sk6' @ mactual )
                                          & ( down @ '#sk8' @ Y0 @ mactual )
                                          & ( barrel @ '#sk8' @ Y1 @ mactual )
                                          & ( old @ Y1 @ mactual )
                                          & ( dirty @ Y1 @ mactual )
                                          & ( white @ Y1 @ mactual )
                                          & ( car @ Y1 @ mactual )
                                          & ( chevy @ Y1 @ mactual )
                                          & ( lonely @ Y0 @ mactual )
                                          & ( way @ Y0 @ mactual )
                                          & ( street @ Y0 @ mactual )
                                          & ( event @ '#sk8' @ mactual )
                                          & ( city @ '#sk6' @ mactual )
                                          & ( hollywood @ '#sk6' @ mactual )
                                          & ( front @ '#sk4' @ mactual )
                                          & ( furniture @ '#sk4' @ mactual )
                                          & ( seat @ '#sk4' @ mactual )
                                          & ( front @ '#sk1' @ mactual )
                                          & ( furniture @ '#sk1' @ mactual )
                                          & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl41,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( in @ Y5 @ '#sk4' @ mactual )
                                        & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                        & ( in @ Y4 @ '#sk1' @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( young @ Y3 @ mactual )
                                        & ( man @ Y3 @ mactual )
                                        & ( fellow @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                        & ( in @ '#sk8' @ '#sk6' @ mactual )
                                        & ( down @ '#sk8' @ Y0 @ mactual )
                                        & ( barrel @ '#sk8' @ Y1 @ mactual )
                                        & ( old @ Y1 @ mactual )
                                        & ( dirty @ Y1 @ mactual )
                                        & ( white @ Y1 @ mactual )
                                        & ( car @ Y1 @ mactual )
                                        & ( chevy @ Y1 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( event @ '#sk8' @ mactual )
                                        & ( city @ '#sk6' @ mactual )
                                        & ( hollywood @ '#sk6' @ mactual )
                                        & ( front @ '#sk4' @ mactual )
                                        & ( furniture @ '#sk4' @ mactual )
                                        & ( seat @ '#sk4' @ mactual )
                                        & ( front @ '#sk1' @ mactual )
                                        & ( furniture @ '#sk1' @ mactual )
                                        & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl45,plain,
    ( ( ( eiw_di @ '#sk10' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( in @ Y4 @ '#sk4' @ mactual )
                                    & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                    & ( in @ Y3 @ '#sk1' @ mactual )
                                    & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                    & ( young @ Y2 @ mactual )
                                    & ( man @ Y2 @ mactual )
                                    & ( fellow @ Y2 @ mactual )
                                    & ( young @ Y1 @ mactual )
                                    & ( man @ Y1 @ mactual )
                                    & ( fellow @ Y1 @ mactual )
                                    & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                    & ( in @ '#sk8' @ '#sk6' @ mactual )
                                    & ( down @ '#sk8' @ '#sk10' @ mactual )
                                    & ( barrel @ '#sk8' @ Y0 @ mactual )
                                    & ( old @ Y0 @ mactual )
                                    & ( dirty @ Y0 @ mactual )
                                    & ( white @ Y0 @ mactual )
                                    & ( car @ Y0 @ mactual )
                                    & ( chevy @ Y0 @ mactual )
                                    & ( lonely @ '#sk10' @ mactual )
                                    & ( way @ '#sk10' @ mactual )
                                    & ( street @ '#sk10' @ mactual )
                                    & ( event @ '#sk8' @ mactual )
                                    & ( city @ '#sk6' @ mactual )
                                    & ( hollywood @ '#sk6' @ mactual )
                                    & ( front @ '#sk4' @ mactual )
                                    & ( furniture @ '#sk4' @ mactual )
                                    & ( seat @ '#sk4' @ mactual )
                                    & ( front @ '#sk1' @ mactual )
                                    & ( furniture @ '#sk1' @ mactual )
                                    & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl49,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( in @ Y4 @ '#sk4' @ mactual )
                                  & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                  & ( in @ Y3 @ '#sk1' @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( young @ Y2 @ mactual )
                                  & ( man @ Y2 @ mactual )
                                  & ( fellow @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                  & ( in @ '#sk8' @ '#sk6' @ mactual )
                                  & ( down @ '#sk8' @ '#sk10' @ mactual )
                                  & ( barrel @ '#sk8' @ Y0 @ mactual )
                                  & ( old @ Y0 @ mactual )
                                  & ( dirty @ Y0 @ mactual )
                                  & ( white @ Y0 @ mactual )
                                  & ( car @ Y0 @ mactual )
                                  & ( chevy @ Y0 @ mactual )
                                  & ( lonely @ '#sk10' @ mactual )
                                  & ( way @ '#sk10' @ mactual )
                                  & ( street @ '#sk10' @ mactual )
                                  & ( event @ '#sk8' @ mactual )
                                  & ( city @ '#sk6' @ mactual )
                                  & ( hollywood @ '#sk6' @ mactual )
                                  & ( front @ '#sk4' @ mactual )
                                  & ( furniture @ '#sk4' @ mactual )
                                  & ( seat @ '#sk4' @ mactual )
                                  & ( front @ '#sk1' @ mactual )
                                  & ( furniture @ '#sk1' @ mactual )
                                  & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl53,plain,
    ( ( ( eiw_di @ '#sk12' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( in @ Y3 @ '#sk4' @ mactual )
                              & ( qmltpeq @ Y1 @ Y3 @ mactual )
                              & ( in @ Y2 @ '#sk1' @ mactual )
                              & ( qmltpeq @ Y0 @ Y2 @ mactual )
                              & ( young @ Y1 @ mactual )
                              & ( man @ Y1 @ mactual )
                              & ( fellow @ Y1 @ mactual )
                              & ( young @ Y0 @ mactual )
                              & ( man @ Y0 @ mactual )
                              & ( fellow @ Y0 @ mactual )
                              & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                              & ( in @ '#sk8' @ '#sk6' @ mactual )
                              & ( down @ '#sk8' @ '#sk10' @ mactual )
                              & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                              & ( old @ '#sk12' @ mactual )
                              & ( dirty @ '#sk12' @ mactual )
                              & ( white @ '#sk12' @ mactual )
                              & ( car @ '#sk12' @ mactual )
                              & ( chevy @ '#sk12' @ mactual )
                              & ( lonely @ '#sk10' @ mactual )
                              & ( way @ '#sk10' @ mactual )
                              & ( street @ '#sk10' @ mactual )
                              & ( event @ '#sk8' @ mactual )
                              & ( city @ '#sk6' @ mactual )
                              & ( hollywood @ '#sk6' @ mactual )
                              & ( front @ '#sk4' @ mactual )
                              & ( furniture @ '#sk4' @ mactual )
                              & ( seat @ '#sk4' @ mactual )
                              & ( front @ '#sk1' @ mactual )
                              & ( furniture @ '#sk1' @ mactual )
                              & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl57,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( in @ Y3 @ '#sk4' @ mactual )
                            & ( qmltpeq @ Y1 @ Y3 @ mactual )
                            & ( in @ Y2 @ '#sk1' @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( young @ Y1 @ mactual )
                            & ( man @ Y1 @ mactual )
                            & ( fellow @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                            & ( in @ '#sk8' @ '#sk6' @ mactual )
                            & ( down @ '#sk8' @ '#sk10' @ mactual )
                            & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                            & ( old @ '#sk12' @ mactual )
                            & ( dirty @ '#sk12' @ mactual )
                            & ( white @ '#sk12' @ mactual )
                            & ( car @ '#sk12' @ mactual )
                            & ( chevy @ '#sk12' @ mactual )
                            & ( lonely @ '#sk10' @ mactual )
                            & ( way @ '#sk10' @ mactual )
                            & ( street @ '#sk10' @ mactual )
                            & ( event @ '#sk8' @ mactual )
                            & ( city @ '#sk6' @ mactual )
                            & ( hollywood @ '#sk6' @ mactual )
                            & ( front @ '#sk4' @ mactual )
                            & ( furniture @ '#sk4' @ mactual )
                            & ( seat @ '#sk4' @ mactual )
                            & ( front @ '#sk1' @ mactual )
                            & ( furniture @ '#sk1' @ mactual )
                            & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl61,plain,
    ( ( ( eiw_di @ '#sk14' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y2 @ '#sk4' @ mactual )
                        & ( qmltpeq @ Y0 @ Y2 @ mactual )
                        & ( in @ Y1 @ '#sk1' @ mactual )
                        & ( qmltpeq @ '#sk14' @ Y1 @ mactual )
                        & ( young @ Y0 @ mactual )
                        & ( man @ Y0 @ mactual )
                        & ( fellow @ Y0 @ mactual )
                        & ( young @ '#sk14' @ mactual )
                        & ( man @ '#sk14' @ mactual )
                        & ( fellow @ '#sk14' @ mactual )
                        & ( (~) @ ( qmltpeq @ '#sk14' @ Y0 @ mactual ) )
                        & ( in @ '#sk8' @ '#sk6' @ mactual )
                        & ( down @ '#sk8' @ '#sk10' @ mactual )
                        & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                        & ( old @ '#sk12' @ mactual )
                        & ( dirty @ '#sk12' @ mactual )
                        & ( white @ '#sk12' @ mactual )
                        & ( car @ '#sk12' @ mactual )
                        & ( chevy @ '#sk12' @ mactual )
                        & ( lonely @ '#sk10' @ mactual )
                        & ( way @ '#sk10' @ mactual )
                        & ( street @ '#sk10' @ mactual )
                        & ( event @ '#sk8' @ mactual )
                        & ( city @ '#sk6' @ mactual )
                        & ( hollywood @ '#sk6' @ mactual )
                        & ( front @ '#sk4' @ mactual )
                        & ( furniture @ '#sk4' @ mactual )
                        & ( seat @ '#sk4' @ mactual )
                        & ( front @ '#sk1' @ mactual )
                        & ( furniture @ '#sk1' @ mactual )
                        & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl65,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( in @ Y2 @ '#sk4' @ mactual )
                      & ( qmltpeq @ Y0 @ Y2 @ mactual )
                      & ( in @ Y1 @ '#sk1' @ mactual )
                      & ( qmltpeq @ '#sk14' @ Y1 @ mactual )
                      & ( young @ Y0 @ mactual )
                      & ( man @ Y0 @ mactual )
                      & ( fellow @ Y0 @ mactual )
                      & ( young @ '#sk14' @ mactual )
                      & ( man @ '#sk14' @ mactual )
                      & ( fellow @ '#sk14' @ mactual )
                      & ( (~) @ ( qmltpeq @ '#sk14' @ Y0 @ mactual ) )
                      & ( in @ '#sk8' @ '#sk6' @ mactual )
                      & ( down @ '#sk8' @ '#sk10' @ mactual )
                      & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                      & ( old @ '#sk12' @ mactual )
                      & ( dirty @ '#sk12' @ mactual )
                      & ( white @ '#sk12' @ mactual )
                      & ( car @ '#sk12' @ mactual )
                      & ( chevy @ '#sk12' @ mactual )
                      & ( lonely @ '#sk10' @ mactual )
                      & ( way @ '#sk10' @ mactual )
                      & ( street @ '#sk10' @ mactual )
                      & ( event @ '#sk8' @ mactual )
                      & ( city @ '#sk6' @ mactual )
                      & ( hollywood @ '#sk6' @ mactual )
                      & ( front @ '#sk4' @ mactual )
                      & ( furniture @ '#sk4' @ mactual )
                      & ( seat @ '#sk4' @ mactual )
                      & ( front @ '#sk1' @ mactual )
                      & ( furniture @ '#sk1' @ mactual )
                      & ( seat @ '#sk1' @ mactual ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl69,plain,
    ( ( ( eiw_di @ '#sk16' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ Y1 @ '#sk4' @ mactual )
                  & ( qmltpeq @ '#sk16' @ Y1 @ mactual )
                  & ( in @ Y0 @ '#sk1' @ mactual )
                  & ( qmltpeq @ '#sk14' @ Y0 @ mactual )
                  & ( young @ '#sk16' @ mactual )
                  & ( man @ '#sk16' @ mactual )
                  & ( fellow @ '#sk16' @ mactual )
                  & ( young @ '#sk14' @ mactual )
                  & ( man @ '#sk14' @ mactual )
                  & ( fellow @ '#sk14' @ mactual )
                  & ( (~) @ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual ) )
                  & ( in @ '#sk8' @ '#sk6' @ mactual )
                  & ( down @ '#sk8' @ '#sk10' @ mactual )
                  & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                  & ( old @ '#sk12' @ mactual )
                  & ( dirty @ '#sk12' @ mactual )
                  & ( white @ '#sk12' @ mactual )
                  & ( car @ '#sk12' @ mactual )
                  & ( chevy @ '#sk12' @ mactual )
                  & ( lonely @ '#sk10' @ mactual )
                  & ( way @ '#sk10' @ mactual )
                  & ( street @ '#sk10' @ mactual )
                  & ( event @ '#sk8' @ mactual )
                  & ( city @ '#sk6' @ mactual )
                  & ( hollywood @ '#sk6' @ mactual )
                  & ( front @ '#sk4' @ mactual )
                  & ( furniture @ '#sk4' @ mactual )
                  & ( seat @ '#sk4' @ mactual )
                  & ( front @ '#sk1' @ mactual )
                  & ( furniture @ '#sk1' @ mactual )
                  & ( seat @ '#sk1' @ mactual ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl73,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( in @ Y1 @ '#sk4' @ mactual )
                & ( qmltpeq @ '#sk16' @ Y1 @ mactual )
                & ( in @ Y0 @ '#sk1' @ mactual )
                & ( qmltpeq @ '#sk14' @ Y0 @ mactual )
                & ( young @ '#sk16' @ mactual )
                & ( man @ '#sk16' @ mactual )
                & ( fellow @ '#sk16' @ mactual )
                & ( young @ '#sk14' @ mactual )
                & ( man @ '#sk14' @ mactual )
                & ( fellow @ '#sk14' @ mactual )
                & ( (~) @ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual ) )
                & ( in @ '#sk8' @ '#sk6' @ mactual )
                & ( down @ '#sk8' @ '#sk10' @ mactual )
                & ( barrel @ '#sk8' @ '#sk12' @ mactual )
                & ( old @ '#sk12' @ mactual )
                & ( dirty @ '#sk12' @ mactual )
                & ( white @ '#sk12' @ mactual )
                & ( car @ '#sk12' @ mactual )
                & ( chevy @ '#sk12' @ mactual )
                & ( lonely @ '#sk10' @ mactual )
                & ( way @ '#sk10' @ mactual )
                & ( street @ '#sk10' @ mactual )
                & ( event @ '#sk8' @ mactual )
                & ( city @ '#sk6' @ mactual )
                & ( hollywood @ '#sk6' @ mactual )
                & ( front @ '#sk4' @ mactual )
                & ( furniture @ '#sk4' @ mactual )
                & ( seat @ '#sk4' @ mactual )
                & ( front @ '#sk1' @ mactual )
                & ( furniture @ '#sk1' @ mactual )
                & ( seat @ '#sk1' @ mactual ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl77,plain,
    ( ( ( eiw_di @ '#sk18' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ Y0 @ '#sk4' @ mactual )
            & ( qmltpeq @ '#sk16' @ Y0 @ mactual )
            & ( in @ '#sk18' @ '#sk1' @ mactual )
            & ( qmltpeq @ '#sk14' @ '#sk18' @ mactual )
            & ( young @ '#sk16' @ mactual )
            & ( man @ '#sk16' @ mactual )
            & ( fellow @ '#sk16' @ mactual )
            & ( young @ '#sk14' @ mactual )
            & ( man @ '#sk14' @ mactual )
            & ( fellow @ '#sk14' @ mactual )
            & ( (~) @ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual ) )
            & ( in @ '#sk8' @ '#sk6' @ mactual )
            & ( down @ '#sk8' @ '#sk10' @ mactual )
            & ( barrel @ '#sk8' @ '#sk12' @ mactual )
            & ( old @ '#sk12' @ mactual )
            & ( dirty @ '#sk12' @ mactual )
            & ( white @ '#sk12' @ mactual )
            & ( car @ '#sk12' @ mactual )
            & ( chevy @ '#sk12' @ mactual )
            & ( lonely @ '#sk10' @ mactual )
            & ( way @ '#sk10' @ mactual )
            & ( street @ '#sk10' @ mactual )
            & ( event @ '#sk8' @ mactual )
            & ( city @ '#sk6' @ mactual )
            & ( hollywood @ '#sk6' @ mactual )
            & ( front @ '#sk4' @ mactual )
            & ( furniture @ '#sk4' @ mactual )
            & ( seat @ '#sk4' @ mactual )
            & ( front @ '#sk1' @ mactual )
            & ( furniture @ '#sk1' @ mactual )
            & ( seat @ '#sk1' @ mactual ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl81,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( in @ Y0 @ '#sk4' @ mactual )
          & ( qmltpeq @ '#sk16' @ Y0 @ mactual )
          & ( in @ '#sk18' @ '#sk1' @ mactual )
          & ( qmltpeq @ '#sk14' @ '#sk18' @ mactual )
          & ( young @ '#sk16' @ mactual )
          & ( man @ '#sk16' @ mactual )
          & ( fellow @ '#sk16' @ mactual )
          & ( young @ '#sk14' @ mactual )
          & ( man @ '#sk14' @ mactual )
          & ( fellow @ '#sk14' @ mactual )
          & ( (~) @ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual ) )
          & ( in @ '#sk8' @ '#sk6' @ mactual )
          & ( down @ '#sk8' @ '#sk10' @ mactual )
          & ( barrel @ '#sk8' @ '#sk12' @ mactual )
          & ( old @ '#sk12' @ mactual )
          & ( dirty @ '#sk12' @ mactual )
          & ( white @ '#sk12' @ mactual )
          & ( car @ '#sk12' @ mactual )
          & ( chevy @ '#sk12' @ mactual )
          & ( lonely @ '#sk10' @ mactual )
          & ( way @ '#sk10' @ mactual )
          & ( street @ '#sk10' @ mactual )
          & ( event @ '#sk8' @ mactual )
          & ( city @ '#sk6' @ mactual )
          & ( hollywood @ '#sk6' @ mactual )
          & ( front @ '#sk4' @ mactual )
          & ( furniture @ '#sk4' @ mactual )
          & ( seat @ '#sk4' @ mactual )
          & ( front @ '#sk1' @ mactual )
          & ( furniture @ '#sk1' @ mactual )
          & ( seat @ '#sk1' @ mactual ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl85,plain,
    ( ( ( eiw_di @ '#sk20' @ mactual )
      & ( in @ '#sk20' @ '#sk4' @ mactual )
      & ( qmltpeq @ '#sk16' @ '#sk20' @ mactual )
      & ( in @ '#sk18' @ '#sk1' @ mactual )
      & ( qmltpeq @ '#sk14' @ '#sk18' @ mactual )
      & ( young @ '#sk16' @ mactual )
      & ( man @ '#sk16' @ mactual )
      & ( fellow @ '#sk16' @ mactual )
      & ( young @ '#sk14' @ mactual )
      & ( man @ '#sk14' @ mactual )
      & ( fellow @ '#sk14' @ mactual )
      & ( (~) @ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual ) )
      & ( in @ '#sk8' @ '#sk6' @ mactual )
      & ( down @ '#sk8' @ '#sk10' @ mactual )
      & ( barrel @ '#sk8' @ '#sk12' @ mactual )
      & ( old @ '#sk12' @ mactual )
      & ( dirty @ '#sk12' @ mactual )
      & ( white @ '#sk12' @ mactual )
      & ( car @ '#sk12' @ mactual )
      & ( chevy @ '#sk12' @ mactual )
      & ( lonely @ '#sk10' @ mactual )
      & ( way @ '#sk10' @ mactual )
      & ( street @ '#sk10' @ mactual )
      & ( event @ '#sk8' @ mactual )
      & ( city @ '#sk6' @ mactual )
      & ( hollywood @ '#sk6' @ mactual )
      & ( front @ '#sk4' @ mactual )
      & ( furniture @ '#sk4' @ mactual )
      & ( seat @ '#sk4' @ mactual )
      & ( front @ '#sk1' @ mactual )
      & ( furniture @ '#sk1' @ mactual )
      & ( seat @ '#sk1' @ mactual ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl90,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk20' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl72,plain,
    ( ( eiw_di @ '#sk16' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl93,plain,
    ( ( young @ '#sk16' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl95,plain,
    ( ( fellow @ '#sk16' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl94,plain,
    ( ( man @ '#sk16' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl99,plain,
    ( ~ ( qmltpeq @ '#sk14' @ '#sk16' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl92,plain,
    ( ( qmltpeq @ '#sk14' @ '#sk18' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl64,plain,
    ( ( eiw_di @ '#sk14' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl96,plain,
    ( ( young @ '#sk14' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl98,plain,
    ( ( fellow @ '#sk14' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl97,plain,
    ( ( man @ '#sk14' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl83,plain,
    ( ( eiw_di @ '#sk19' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl19,plain,
    ( ( eiw_di @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl152,plain,
    ( ( seat @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl151,plain,
    ( ( furniture @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl150,plain,
    ( ( front @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl124,plain,
    ( ( in @ '#sk19' @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl100,plain,
    ( ( in @ '#sk8' @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl32,plain,
    ( ( eiw_di @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl113,plain,
    ( ( hollywood @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl112,plain,
    ( ( city @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl24,plain,
    ( ( eiw_di @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl88,plain,
    ( ( eiw_di @ '#sk20' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl116,plain,
    ( ( seat @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl115,plain,
    ( ( furniture @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl114,plain,
    ( ( front @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl89,plain,
    ( ( in @ '#sk20' @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl59,plain,
    ( ( eiw_di @ '#sk13' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl137,plain,
    ( ( way @ '#sk13' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl138,plain,
    ( ( street @ '#sk13' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl136,plain,
    ( ( lonely @ '#sk13' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl134,plain,
    ( ( down @ '#sk9' @ '#sk13' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl11_002,plain,
    ( ( eiw_di @ '#sk1' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14_003,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ mactual )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ mactual )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ mactual )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y9: $i] :
                                                                ( ( eiw_di @ Y9 @ mactual )
                                                                & ( in @ Y9 @ Y1 @ mactual )
                                                                & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( young @ Y7 @ mactual )
                                                                & ( man @ Y7 @ mactual )
                                                                & ( fellow @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                & ( in @ Y3 @ Y2 @ mactual )
                                                                & ( down @ Y3 @ Y5 @ mactual )
                                                                & ( barrel @ Y3 @ Y4 @ mactual )
                                                                & ( lonely @ Y5 @ mactual )
                                                                & ( way @ Y5 @ mactual )
                                                                & ( street @ Y5 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( event @ Y3 @ mactual )
                                                                & ( city @ Y2 @ mactual )
                                                                & ( hollywood @ Y2 @ mactual )
                                                                & ( front @ Y1 @ mactual )
                                                                & ( furniture @ Y1 @ mactual )
                                                                & ( seat @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl16,plain,
    ( '#form2'
    | ( eiw_di @ '#sk1' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl14]) ).

thf(zip_derived_cl80,plain,
    ( ( eiw_di @ '#sk18' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl119,plain,
    ( ( seat @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl118,plain,
    ( ( furniture @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl117,plain,
    ( ( front @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl91,plain,
    ( ( in @ '#sk18' @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl51,plain,
    ( ( eiw_di @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl43,plain,
    ( ( eiw_di @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl143,plain,
    ( ( chevy @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl140,plain,
    ( ( dirty @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl139,plain,
    ( ( old @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl141,plain,
    ( ( white @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl142,plain,
    ( ( car @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl144,plain,
    ( ( event @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl135,plain,
    ( ( barrel @ '#sk9' @ '#sk11' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl27,plain,
    ( ( eiw_di @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl121,plain,
    ( ( eiw_di @ '#sk21' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl149,plain,
    ( ( seat @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl148,plain,
    ( ( furniture @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl147,plain,
    ( ( front @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl122_004,plain,
    ( ( in @ '#sk21' @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl3,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ??
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y5 @ mactual )
                                                                    & ( barrel @ Y3 @ Y4 @ mactual )
                                                                    & ( lonely @ Y5 @ mactual )
                                                                    & ( way @ Y5 @ mactual )
                                                                    & ( street @ Y5 @ mactual )
                                                                    & ( old @ Y4 @ mactual )
                                                                    & ( dirty @ Y4 @ mactual )
                                                                    & ( white @ Y4 @ mactual )
                                                                    & ( car @ Y4 @ mactual )
                                                                    & ( chevy @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ??
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( $true
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ??
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y5 @ mactual )
                                                                  & ( barrel @ Y3 @ Y4 @ mactual )
                                                                  & ( lonely @ Y5 @ mactual )
                                                                  & ( way @ Y5 @ mactual )
                                                                  & ( street @ Y5 @ mactual )
                                                                  & ( old @ Y4 @ mactual )
                                                                  & ( dirty @ Y4 @ mactual )
                                                                  & ( white @ Y4 @ mactual )
                                                                  & ( car @ Y4 @ mactual )
                                                                  & ( chevy @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ mactual )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ mactual )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ mactual )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ mactual )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ mactual )
                                                            & ( ??
                                                              @ ^ [Y9: $i] :
                                                                  ( ( eiw_di @ Y9 @ mactual )
                                                                  & ( in @ Y9 @ Y1 @ mactual )
                                                                  & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                  & ( in @ Y8 @ Y0 @ mactual )
                                                                  & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                  & ( young @ Y7 @ mactual )
                                                                  & ( man @ Y7 @ mactual )
                                                                  & ( fellow @ Y7 @ mactual )
                                                                  & ( young @ Y6 @ mactual )
                                                                  & ( man @ Y6 @ mactual )
                                                                  & ( fellow @ Y6 @ mactual )
                                                                  & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                  & ( in @ Y3 @ Y2 @ mactual )
                                                                  & ( down @ Y3 @ Y4 @ mactual )
                                                                  & ( barrel @ Y3 @ Y5 @ mactual )
                                                                  & ( old @ Y5 @ mactual )
                                                                  & ( dirty @ Y5 @ mactual )
                                                                  & ( white @ Y5 @ mactual )
                                                                  & ( car @ Y5 @ mactual )
                                                                  & ( chevy @ Y5 @ mactual )
                                                                  & ( lonely @ Y4 @ mactual )
                                                                  & ( way @ Y4 @ mactual )
                                                                  & ( street @ Y4 @ mactual )
                                                                  & ( event @ Y3 @ mactual )
                                                                  & ( city @ Y2 @ mactual )
                                                                  & ( hollywood @ Y2 @ mactual )
                                                                  & ( front @ Y1 @ mactual )
                                                                  & ( furniture @ Y1 @ mactual )
                                                                  & ( seat @ Y1 @ mactual )
                                                                  & ( front @ Y0 @ mactual )
                                                                  & ( furniture @ Y0 @ mactual )
                                                                  & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X2 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y4 @ mactual )
                                                                & ( barrel @ Y2 @ Y3 @ mactual )
                                                                & ( lonely @ Y4 @ mactual )
                                                                & ( way @ Y4 @ mactual )
                                                                & ( street @ Y4 @ mactual )
                                                                & ( old @ Y3 @ mactual )
                                                                & ( dirty @ Y3 @ mactual )
                                                                & ( white @ Y3 @ mactual )
                                                                & ( car @ Y3 @ mactual )
                                                                & ( chevy @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X2 @ mactual )
                                                                & ( furniture @ X2 @ mactual )
                                                                & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( in @ Y8 @ Y0 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y7 @ X2 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ( down @ Y2 @ Y4 @ mactual )
                                                              & ( barrel @ Y2 @ Y3 @ mactual )
                                                              & ( lonely @ Y4 @ mactual )
                                                              & ( way @ Y4 @ mactual )
                                                              & ( street @ Y4 @ mactual )
                                                              & ( old @ Y3 @ mactual )
                                                              & ( dirty @ Y3 @ mactual )
                                                              & ( white @ Y3 @ mactual )
                                                              & ( car @ Y3 @ mactual )
                                                              & ( chevy @ Y3 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( front @ X2 @ mactual )
                                                              & ( furniture @ X2 @ mactual )
                                                              & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( eiw_di @ X4 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X4 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X2 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y3 @ mactual )
                                                          & ( barrel @ Y1 @ Y2 @ mactual )
                                                          & ( lonely @ Y3 @ mactual )
                                                          & ( way @ Y3 @ mactual )
                                                          & ( street @ Y3 @ mactual )
                                                          & ( old @ Y2 @ mactual )
                                                          & ( dirty @ Y2 @ mactual )
                                                          & ( white @ Y2 @ mactual )
                                                          & ( car @ Y2 @ mactual )
                                                          & ( chevy @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X4 @ mactual )
                                                          & ( furniture @ X4 @ mactual )
                                                          & ( seat @ X4 @ mactual )
                                                          & ( front @ X2 @ mactual )
                                                          & ( furniture @ X2 @ mactual )
                                                          & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( in @ Y7 @ X4 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y6 @ X2 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ( down @ Y1 @ Y3 @ mactual )
                                                        & ( barrel @ Y1 @ Y2 @ mactual )
                                                        & ( lonely @ Y3 @ mactual )
                                                        & ( way @ Y3 @ mactual )
                                                        & ( street @ Y3 @ mactual )
                                                        & ( old @ Y2 @ mactual )
                                                        & ( dirty @ Y2 @ mactual )
                                                        & ( white @ Y2 @ mactual )
                                                        & ( car @ Y2 @ mactual )
                                                        & ( chevy @ Y2 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( front @ X4 @ mactual )
                                                        & ( furniture @ X4 @ mactual )
                                                        & ( seat @ X4 @ mactual )
                                                        & ( front @ X2 @ mactual )
                                                        & ( furniture @ X2 @ mactual )
                                                        & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( eiw_di @ X6 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X4 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X2 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                    & ( in @ Y0 @ X6 @ mactual )
                                                    & ( down @ Y0 @ Y2 @ mactual )
                                                    & ( barrel @ Y0 @ Y1 @ mactual )
                                                    & ( lonely @ Y2 @ mactual )
                                                    & ( way @ Y2 @ mactual )
                                                    & ( street @ Y2 @ mactual )
                                                    & ( old @ Y1 @ mactual )
                                                    & ( dirty @ Y1 @ mactual )
                                                    & ( white @ Y1 @ mactual )
                                                    & ( car @ Y1 @ mactual )
                                                    & ( chevy @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X6 @ mactual )
                                                    & ( hollywood @ X6 @ mactual )
                                                    & ( front @ X4 @ mactual )
                                                    & ( furniture @ X4 @ mactual )
                                                    & ( seat @ X4 @ mactual )
                                                    & ( front @ X2 @ mactual )
                                                    & ( furniture @ X2 @ mactual )
                                                    & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( eiw_di @ X6 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( in @ Y6 @ X4 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y5 @ X2 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                  & ( in @ Y0 @ X6 @ mactual )
                                                  & ( down @ Y0 @ Y2 @ mactual )
                                                  & ( barrel @ Y0 @ Y1 @ mactual )
                                                  & ( lonely @ Y2 @ mactual )
                                                  & ( way @ Y2 @ mactual )
                                                  & ( street @ Y2 @ mactual )
                                                  & ( old @ Y1 @ mactual )
                                                  & ( dirty @ Y1 @ mactual )
                                                  & ( white @ Y1 @ mactual )
                                                  & ( car @ Y1 @ mactual )
                                                  & ( chevy @ Y1 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( city @ X6 @ mactual )
                                                  & ( hollywood @ X6 @ mactual )
                                                  & ( front @ X4 @ mactual )
                                                  & ( furniture @ X4 @ mactual )
                                                  & ( seat @ X4 @ mactual )
                                                  & ( front @ X2 @ mactual )
                                                  & ( furniture @ X2 @ mactual )
                                                  & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( eiw_di @ X8 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( in @ Y5 @ X4 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X2 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                              & ( in @ X8 @ X6 @ mactual )
                                              & ( down @ X8 @ Y1 @ mactual )
                                              & ( barrel @ X8 @ Y0 @ mactual )
                                              & ( lonely @ Y1 @ mactual )
                                              & ( way @ Y1 @ mactual )
                                              & ( street @ Y1 @ mactual )
                                              & ( old @ Y0 @ mactual )
                                              & ( dirty @ Y0 @ mactual )
                                              & ( white @ Y0 @ mactual )
                                              & ( car @ Y0 @ mactual )
                                              & ( chevy @ Y0 @ mactual )
                                              & ( event @ X8 @ mactual )
                                              & ( city @ X6 @ mactual )
                                              & ( hollywood @ X6 @ mactual )
                                              & ( front @ X4 @ mactual )
                                              & ( furniture @ X4 @ mactual )
                                              & ( seat @ X4 @ mactual )
                                              & ( front @ X2 @ mactual )
                                              & ( furniture @ X2 @ mactual )
                                              & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( eiw_di @ X8 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( in @ Y5 @ X4 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y4 @ X2 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                            & ( in @ X8 @ X6 @ mactual )
                                            & ( down @ X8 @ Y1 @ mactual )
                                            & ( barrel @ X8 @ Y0 @ mactual )
                                            & ( lonely @ Y1 @ mactual )
                                            & ( way @ Y1 @ mactual )
                                            & ( street @ Y1 @ mactual )
                                            & ( old @ Y0 @ mactual )
                                            & ( dirty @ Y0 @ mactual )
                                            & ( white @ Y0 @ mactual )
                                            & ( car @ Y0 @ mactual )
                                            & ( chevy @ Y0 @ mactual )
                                            & ( event @ X8 @ mactual )
                                            & ( city @ X6 @ mactual )
                                            & ( hollywood @ X6 @ mactual )
                                            & ( front @ X4 @ mactual )
                                            & ( furniture @ X4 @ mactual )
                                            & ( seat @ X4 @ mactual )
                                            & ( front @ X2 @ mactual )
                                            & ( furniture @ X2 @ mactual )
                                            & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ( eiw_di @ X10 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( in @ Y4 @ X4 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X2 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                        & ( in @ X8 @ X6 @ mactual )
                                        & ( down @ X8 @ Y0 @ mactual )
                                        & ( barrel @ X8 @ X10 @ mactual )
                                        & ( lonely @ Y0 @ mactual )
                                        & ( way @ Y0 @ mactual )
                                        & ( street @ Y0 @ mactual )
                                        & ( old @ X10 @ mactual )
                                        & ( dirty @ X10 @ mactual )
                                        & ( white @ X10 @ mactual )
                                        & ( car @ X10 @ mactual )
                                        & ( chevy @ X10 @ mactual )
                                        & ( event @ X8 @ mactual )
                                        & ( city @ X6 @ mactual )
                                        & ( hollywood @ X6 @ mactual )
                                        & ( front @ X4 @ mactual )
                                        & ( furniture @ X4 @ mactual )
                                        & ( seat @ X4 @ mactual )
                                        & ( front @ X2 @ mactual )
                                        & ( furniture @ X2 @ mactual )
                                        & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl46,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( eiw_di @ X10 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( in @ Y4 @ X4 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y3 @ X2 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                      & ( in @ X8 @ X6 @ mactual )
                                      & ( down @ X8 @ Y0 @ mactual )
                                      & ( barrel @ X8 @ X10 @ mactual )
                                      & ( lonely @ Y0 @ mactual )
                                      & ( way @ Y0 @ mactual )
                                      & ( street @ Y0 @ mactual )
                                      & ( old @ X10 @ mactual )
                                      & ( dirty @ X10 @ mactual )
                                      & ( white @ X10 @ mactual )
                                      & ( car @ X10 @ mactual )
                                      & ( chevy @ X10 @ mactual )
                                      & ( event @ X8 @ mactual )
                                      & ( city @ X6 @ mactual )
                                      & ( hollywood @ X6 @ mactual )
                                      & ( front @ X4 @ mactual )
                                      & ( furniture @ X4 @ mactual )
                                      & ( seat @ X4 @ mactual )
                                      & ( front @ X2 @ mactual )
                                      & ( furniture @ X2 @ mactual )
                                      & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl50,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( eiw_di @ X12 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( in @ Y3 @ X4 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X2 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                                  & ( in @ X8 @ X6 @ mactual )
                                  & ( down @ X8 @ X12 @ mactual )
                                  & ( barrel @ X8 @ X10 @ mactual )
                                  & ( lonely @ X12 @ mactual )
                                  & ( way @ X12 @ mactual )
                                  & ( street @ X12 @ mactual )
                                  & ( old @ X10 @ mactual )
                                  & ( dirty @ X10 @ mactual )
                                  & ( white @ X10 @ mactual )
                                  & ( car @ X10 @ mactual )
                                  & ( chevy @ X10 @ mactual )
                                  & ( event @ X8 @ mactual )
                                  & ( city @ X6 @ mactual )
                                  & ( hollywood @ X6 @ mactual )
                                  & ( front @ X4 @ mactual )
                                  & ( furniture @ X4 @ mactual )
                                  & ( seat @ X4 @ mactual )
                                  & ( front @ X2 @ mactual )
                                  & ( furniture @ X2 @ mactual )
                                  & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl54,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( eiw_di @ X12 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y3 @ X4 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y2 @ X2 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                                & ( in @ X8 @ X6 @ mactual )
                                & ( down @ X8 @ X12 @ mactual )
                                & ( barrel @ X8 @ X10 @ mactual )
                                & ( lonely @ X12 @ mactual )
                                & ( way @ X12 @ mactual )
                                & ( street @ X12 @ mactual )
                                & ( old @ X10 @ mactual )
                                & ( dirty @ X10 @ mactual )
                                & ( white @ X10 @ mactual )
                                & ( car @ X10 @ mactual )
                                & ( chevy @ X10 @ mactual )
                                & ( event @ X8 @ mactual )
                                & ( city @ X6 @ mactual )
                                & ( hollywood @ X6 @ mactual )
                                & ( front @ X4 @ mactual )
                                & ( furniture @ X4 @ mactual )
                                & ( seat @ X4 @ mactual )
                                & ( front @ X2 @ mactual )
                                & ( furniture @ X2 @ mactual )
                                & ( seat @ X2 @ mactual ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl58,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ( eiw_di @ X14 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( in @ Y2 @ X4 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X2 @ mactual )
                            & ( qmltpeq @ X14 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X14 @ mactual )
                            & ( man @ X14 @ mactual )
                            & ( fellow @ X14 @ mactual )
                            & ( (~) @ ( qmltpeq @ X14 @ Y0 @ mactual ) )
                            & ( in @ X8 @ X6 @ mactual )
                            & ( down @ X8 @ X12 @ mactual )
                            & ( barrel @ X8 @ X10 @ mactual )
                            & ( lonely @ X12 @ mactual )
                            & ( way @ X12 @ mactual )
                            & ( street @ X12 @ mactual )
                            & ( old @ X10 @ mactual )
                            & ( dirty @ X10 @ mactual )
                            & ( white @ X10 @ mactual )
                            & ( car @ X10 @ mactual )
                            & ( chevy @ X10 @ mactual )
                            & ( event @ X8 @ mactual )
                            & ( city @ X6 @ mactual )
                            & ( hollywood @ X6 @ mactual )
                            & ( front @ X4 @ mactual )
                            & ( furniture @ X4 @ mactual )
                            & ( seat @ X4 @ mactual )
                            & ( front @ X2 @ mactual )
                            & ( furniture @ X2 @ mactual )
                            & ( seat @ X2 @ mactual ) ) ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl62,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( eiw_di @ X14 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( in @ Y2 @ X4 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y1 @ X2 @ mactual )
                          & ( qmltpeq @ X14 @ Y1 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( young @ X14 @ mactual )
                          & ( man @ X14 @ mactual )
                          & ( fellow @ X14 @ mactual )
                          & ( (~) @ ( qmltpeq @ X14 @ Y0 @ mactual ) )
                          & ( in @ X8 @ X6 @ mactual )
                          & ( down @ X8 @ X12 @ mactual )
                          & ( barrel @ X8 @ X10 @ mactual )
                          & ( lonely @ X12 @ mactual )
                          & ( way @ X12 @ mactual )
                          & ( street @ X12 @ mactual )
                          & ( old @ X10 @ mactual )
                          & ( dirty @ X10 @ mactual )
                          & ( white @ X10 @ mactual )
                          & ( car @ X10 @ mactual )
                          & ( chevy @ X10 @ mactual )
                          & ( event @ X8 @ mactual )
                          & ( city @ X6 @ mactual )
                          & ( hollywood @ X6 @ mactual )
                          & ( front @ X4 @ mactual )
                          & ( furniture @ X4 @ mactual )
                          & ( seat @ X4 @ mactual )
                          & ( front @ X2 @ mactual )
                          & ( furniture @ X2 @ mactual )
                          & ( seat @ X2 @ mactual ) ) ) ) ) ) )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl66,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( eiw_di @ X16 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( in @ Y1 @ X4 @ mactual )
                      & ( qmltpeq @ X16 @ Y1 @ mactual )
                      & ( in @ Y0 @ X2 @ mactual )
                      & ( qmltpeq @ X14 @ Y0 @ mactual )
                      & ( young @ X16 @ mactual )
                      & ( man @ X16 @ mactual )
                      & ( fellow @ X16 @ mactual )
                      & ( young @ X14 @ mactual )
                      & ( man @ X14 @ mactual )
                      & ( fellow @ X14 @ mactual )
                      & ( (~) @ ( qmltpeq @ X14 @ X16 @ mactual ) )
                      & ( in @ X8 @ X6 @ mactual )
                      & ( down @ X8 @ X12 @ mactual )
                      & ( barrel @ X8 @ X10 @ mactual )
                      & ( lonely @ X12 @ mactual )
                      & ( way @ X12 @ mactual )
                      & ( street @ X12 @ mactual )
                      & ( old @ X10 @ mactual )
                      & ( dirty @ X10 @ mactual )
                      & ( white @ X10 @ mactual )
                      & ( car @ X10 @ mactual )
                      & ( chevy @ X10 @ mactual )
                      & ( event @ X8 @ mactual )
                      & ( city @ X6 @ mactual )
                      & ( hollywood @ X6 @ mactual )
                      & ( front @ X4 @ mactual )
                      & ( furniture @ X4 @ mactual )
                      & ( seat @ X4 @ mactual )
                      & ( front @ X2 @ mactual )
                      & ( furniture @ X2 @ mactual )
                      & ( seat @ X2 @ mactual ) ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl70,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( eiw_di @ X16 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( in @ Y1 @ X4 @ mactual )
                    & ( qmltpeq @ X16 @ Y1 @ mactual )
                    & ( in @ Y0 @ X2 @ mactual )
                    & ( qmltpeq @ X14 @ Y0 @ mactual )
                    & ( young @ X16 @ mactual )
                    & ( man @ X16 @ mactual )
                    & ( fellow @ X16 @ mactual )
                    & ( young @ X14 @ mactual )
                    & ( man @ X14 @ mactual )
                    & ( fellow @ X14 @ mactual )
                    & ( (~) @ ( qmltpeq @ X14 @ X16 @ mactual ) )
                    & ( in @ X8 @ X6 @ mactual )
                    & ( down @ X8 @ X12 @ mactual )
                    & ( barrel @ X8 @ X10 @ mactual )
                    & ( lonely @ X12 @ mactual )
                    & ( way @ X12 @ mactual )
                    & ( street @ X12 @ mactual )
                    & ( old @ X10 @ mactual )
                    & ( dirty @ X10 @ mactual )
                    & ( white @ X10 @ mactual )
                    & ( car @ X10 @ mactual )
                    & ( chevy @ X10 @ mactual )
                    & ( event @ X8 @ mactual )
                    & ( city @ X6 @ mactual )
                    & ( hollywood @ X6 @ mactual )
                    & ( front @ X4 @ mactual )
                    & ( furniture @ X4 @ mactual )
                    & ( seat @ X4 @ mactual )
                    & ( front @ X2 @ mactual )
                    & ( furniture @ X2 @ mactual )
                    & ( seat @ X2 @ mactual ) ) ) ) )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl74,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( eiw_di @ X18 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( in @ Y0 @ X4 @ mactual )
                & ( qmltpeq @ X16 @ Y0 @ mactual )
                & ( in @ X18 @ X2 @ mactual )
                & ( qmltpeq @ X14 @ X18 @ mactual )
                & ( young @ X16 @ mactual )
                & ( man @ X16 @ mactual )
                & ( fellow @ X16 @ mactual )
                & ( young @ X14 @ mactual )
                & ( man @ X14 @ mactual )
                & ( fellow @ X14 @ mactual )
                & ( (~) @ ( qmltpeq @ X14 @ X16 @ mactual ) )
                & ( in @ X8 @ X6 @ mactual )
                & ( down @ X8 @ X12 @ mactual )
                & ( barrel @ X8 @ X10 @ mactual )
                & ( lonely @ X12 @ mactual )
                & ( way @ X12 @ mactual )
                & ( street @ X12 @ mactual )
                & ( old @ X10 @ mactual )
                & ( dirty @ X10 @ mactual )
                & ( white @ X10 @ mactual )
                & ( car @ X10 @ mactual )
                & ( chevy @ X10 @ mactual )
                & ( event @ X8 @ mactual )
                & ( city @ X6 @ mactual )
                & ( hollywood @ X6 @ mactual )
                & ( front @ X4 @ mactual )
                & ( furniture @ X4 @ mactual )
                & ( seat @ X4 @ mactual )
                & ( front @ X2 @ mactual )
                & ( furniture @ X2 @ mactual )
                & ( seat @ X2 @ mactual ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl78,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( eiw_di @ X18 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( in @ Y0 @ X4 @ mactual )
              & ( qmltpeq @ X16 @ Y0 @ mactual )
              & ( in @ X18 @ X2 @ mactual )
              & ( qmltpeq @ X14 @ X18 @ mactual )
              & ( young @ X16 @ mactual )
              & ( man @ X16 @ mactual )
              & ( fellow @ X16 @ mactual )
              & ( young @ X14 @ mactual )
              & ( man @ X14 @ mactual )
              & ( fellow @ X14 @ mactual )
              & ( (~) @ ( qmltpeq @ X14 @ X16 @ mactual ) )
              & ( in @ X8 @ X6 @ mactual )
              & ( down @ X8 @ X12 @ mactual )
              & ( barrel @ X8 @ X10 @ mactual )
              & ( lonely @ X12 @ mactual )
              & ( way @ X12 @ mactual )
              & ( street @ X12 @ mactual )
              & ( old @ X10 @ mactual )
              & ( dirty @ X10 @ mactual )
              & ( white @ X10 @ mactual )
              & ( car @ X10 @ mactual )
              & ( chevy @ X10 @ mactual )
              & ( event @ X8 @ mactual )
              & ( city @ X6 @ mactual )
              & ( hollywood @ X6 @ mactual )
              & ( front @ X4 @ mactual )
              & ( furniture @ X4 @ mactual )
              & ( seat @ X4 @ mactual )
              & ( front @ X2 @ mactual )
              & ( furniture @ X2 @ mactual )
              & ( seat @ X2 @ mactual ) ) )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl82,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i] :
      ( ~ ( ( eiw_di @ X20 @ mactual )
          & ( in @ X20 @ X4 @ mactual )
          & ( qmltpeq @ X16 @ X20 @ mactual )
          & ( in @ X18 @ X2 @ mactual )
          & ( qmltpeq @ X14 @ X18 @ mactual )
          & ( young @ X16 @ mactual )
          & ( man @ X16 @ mactual )
          & ( fellow @ X16 @ mactual )
          & ( young @ X14 @ mactual )
          & ( man @ X14 @ mactual )
          & ( fellow @ X14 @ mactual )
          & ( (~) @ ( qmltpeq @ X14 @ X16 @ mactual ) )
          & ( in @ X8 @ X6 @ mactual )
          & ( down @ X8 @ X12 @ mactual )
          & ( barrel @ X8 @ X10 @ mactual )
          & ( lonely @ X12 @ mactual )
          & ( way @ X12 @ mactual )
          & ( street @ X12 @ mactual )
          & ( old @ X10 @ mactual )
          & ( dirty @ X10 @ mactual )
          & ( white @ X10 @ mactual )
          & ( car @ X10 @ mactual )
          & ( chevy @ X10 @ mactual )
          & ( event @ X8 @ mactual )
          & ( city @ X6 @ mactual )
          & ( hollywood @ X6 @ mactual )
          & ( front @ X4 @ mactual )
          & ( furniture @ X4 @ mactual )
          & ( seat @ X4 @ mactual )
          & ( front @ X2 @ mactual )
          & ( furniture @ X2 @ mactual )
          & ( seat @ X2 @ mactual ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl86,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i] :
      ( ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ mactual )
                                                                    & ( in @ Y9 @ Y1 @ mactual )
                                                                    & ( qmltpeq @ Y7 @ Y9 @ mactual )
                                                                    & ( in @ Y8 @ Y0 @ mactual )
                                                                    & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                    & ( young @ Y7 @ mactual )
                                                                    & ( man @ Y7 @ mactual )
                                                                    & ( fellow @ Y7 @ mactual )
                                                                    & ( young @ Y6 @ mactual )
                                                                    & ( man @ Y6 @ mactual )
                                                                    & ( fellow @ Y6 @ mactual )
                                                                    & ( (~) @ ( qmltpeq @ Y6 @ Y7 @ mactual ) )
                                                                    & ( in @ Y3 @ Y2 @ mactual )
                                                                    & ( down @ Y3 @ Y4 @ mactual )
                                                                    & ( barrel @ Y3 @ Y5 @ mactual )
                                                                    & ( old @ Y5 @ mactual )
                                                                    & ( dirty @ Y5 @ mactual )
                                                                    & ( white @ Y5 @ mactual )
                                                                    & ( car @ Y5 @ mactual )
                                                                    & ( chevy @ Y5 @ mactual )
                                                                    & ( lonely @ Y4 @ mactual )
                                                                    & ( way @ Y4 @ mactual )
                                                                    & ( street @ Y4 @ mactual )
                                                                    & ( event @ Y3 @ mactual )
                                                                    & ( city @ Y2 @ mactual )
                                                                    & ( hollywood @ Y2 @ mactual )
                                                                    & ( front @ Y1 @ mactual )
                                                                    & ( furniture @ Y1 @ mactual )
                                                                    & ( seat @ Y1 @ mactual )
                                                                    & ( front @ Y0 @ mactual )
                                                                    & ( furniture @ Y0 @ mactual )
                                                                    & ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl120,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i] :
      ( ~ ( ( eiw_di @ X22 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ mactual )
                                                                & ( in @ Y8 @ Y0 @ mactual )
                                                                & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                                & ( in @ Y7 @ X22 @ mactual )
                                                                & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                                & ( young @ Y6 @ mactual )
                                                                & ( man @ Y6 @ mactual )
                                                                & ( fellow @ Y6 @ mactual )
                                                                & ( young @ Y5 @ mactual )
                                                                & ( man @ Y5 @ mactual )
                                                                & ( fellow @ Y5 @ mactual )
                                                                & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                                & ( in @ Y2 @ Y1 @ mactual )
                                                                & ( down @ Y2 @ Y3 @ mactual )
                                                                & ( barrel @ Y2 @ Y4 @ mactual )
                                                                & ( old @ Y4 @ mactual )
                                                                & ( dirty @ Y4 @ mactual )
                                                                & ( white @ Y4 @ mactual )
                                                                & ( car @ Y4 @ mactual )
                                                                & ( chevy @ Y4 @ mactual )
                                                                & ( lonely @ Y3 @ mactual )
                                                                & ( way @ Y3 @ mactual )
                                                                & ( street @ Y3 @ mactual )
                                                                & ( event @ Y2 @ mactual )
                                                                & ( city @ Y1 @ mactual )
                                                                & ( hollywood @ Y1 @ mactual )
                                                                & ( front @ Y0 @ mactual )
                                                                & ( furniture @ Y0 @ mactual )
                                                                & ( seat @ Y0 @ mactual )
                                                                & ( front @ X22 @ mactual )
                                                                & ( furniture @ X22 @ mactual )
                                                                & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl153,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i] :
      ( ~ ( eiw_di @ X22 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ mactual )
                                                              & ( in @ Y8 @ Y0 @ mactual )
                                                              & ( qmltpeq @ Y6 @ Y8 @ mactual )
                                                              & ( in @ Y7 @ X22 @ mactual )
                                                              & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                              & ( young @ Y6 @ mactual )
                                                              & ( man @ Y6 @ mactual )
                                                              & ( fellow @ Y6 @ mactual )
                                                              & ( young @ Y5 @ mactual )
                                                              & ( man @ Y5 @ mactual )
                                                              & ( fellow @ Y5 @ mactual )
                                                              & ( (~) @ ( qmltpeq @ Y5 @ Y6 @ mactual ) )
                                                              & ( in @ Y2 @ Y1 @ mactual )
                                                              & ( down @ Y2 @ Y3 @ mactual )
                                                              & ( barrel @ Y2 @ Y4 @ mactual )
                                                              & ( old @ Y4 @ mactual )
                                                              & ( dirty @ Y4 @ mactual )
                                                              & ( white @ Y4 @ mactual )
                                                              & ( car @ Y4 @ mactual )
                                                              & ( chevy @ Y4 @ mactual )
                                                              & ( lonely @ Y3 @ mactual )
                                                              & ( way @ Y3 @ mactual )
                                                              & ( street @ Y3 @ mactual )
                                                              & ( event @ Y2 @ mactual )
                                                              & ( city @ Y1 @ mactual )
                                                              & ( hollywood @ Y1 @ mactual )
                                                              & ( front @ Y0 @ mactual )
                                                              & ( furniture @ Y0 @ mactual )
                                                              & ( seat @ Y0 @ mactual )
                                                              & ( front @ X22 @ mactual )
                                                              & ( furniture @ X22 @ mactual )
                                                              & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl154,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
      ( ~ ( ( eiw_di @ X24 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ mactual )
                                                          & ( in @ Y7 @ X24 @ mactual )
                                                          & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                          & ( in @ Y6 @ X22 @ mactual )
                                                          & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                          & ( young @ Y5 @ mactual )
                                                          & ( man @ Y5 @ mactual )
                                                          & ( fellow @ Y5 @ mactual )
                                                          & ( young @ Y4 @ mactual )
                                                          & ( man @ Y4 @ mactual )
                                                          & ( fellow @ Y4 @ mactual )
                                                          & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                          & ( in @ Y1 @ Y0 @ mactual )
                                                          & ( down @ Y1 @ Y2 @ mactual )
                                                          & ( barrel @ Y1 @ Y3 @ mactual )
                                                          & ( old @ Y3 @ mactual )
                                                          & ( dirty @ Y3 @ mactual )
                                                          & ( white @ Y3 @ mactual )
                                                          & ( car @ Y3 @ mactual )
                                                          & ( chevy @ Y3 @ mactual )
                                                          & ( lonely @ Y2 @ mactual )
                                                          & ( way @ Y2 @ mactual )
                                                          & ( street @ Y2 @ mactual )
                                                          & ( event @ Y1 @ mactual )
                                                          & ( city @ Y0 @ mactual )
                                                          & ( hollywood @ Y0 @ mactual )
                                                          & ( front @ X24 @ mactual )
                                                          & ( furniture @ X24 @ mactual )
                                                          & ( seat @ X24 @ mactual )
                                                          & ( front @ X22 @ mactual )
                                                          & ( furniture @ X22 @ mactual )
                                                          & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).

thf(zip_derived_cl155,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i] :
      ( ~ ( eiw_di @ X24 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ mactual )
                                                        & ( in @ Y7 @ X24 @ mactual )
                                                        & ( qmltpeq @ Y5 @ Y7 @ mactual )
                                                        & ( in @ Y6 @ X22 @ mactual )
                                                        & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                        & ( young @ Y5 @ mactual )
                                                        & ( man @ Y5 @ mactual )
                                                        & ( fellow @ Y5 @ mactual )
                                                        & ( young @ Y4 @ mactual )
                                                        & ( man @ Y4 @ mactual )
                                                        & ( fellow @ Y4 @ mactual )
                                                        & ( (~) @ ( qmltpeq @ Y4 @ Y5 @ mactual ) )
                                                        & ( in @ Y1 @ Y0 @ mactual )
                                                        & ( down @ Y1 @ Y2 @ mactual )
                                                        & ( barrel @ Y1 @ Y3 @ mactual )
                                                        & ( old @ Y3 @ mactual )
                                                        & ( dirty @ Y3 @ mactual )
                                                        & ( white @ Y3 @ mactual )
                                                        & ( car @ Y3 @ mactual )
                                                        & ( chevy @ Y3 @ mactual )
                                                        & ( lonely @ Y2 @ mactual )
                                                        & ( way @ Y2 @ mactual )
                                                        & ( street @ Y2 @ mactual )
                                                        & ( event @ Y1 @ mactual )
                                                        & ( city @ Y0 @ mactual )
                                                        & ( hollywood @ Y0 @ mactual )
                                                        & ( front @ X24 @ mactual )
                                                        & ( furniture @ X24 @ mactual )
                                                        & ( seat @ X24 @ mactual )
                                                        & ( front @ X22 @ mactual )
                                                        & ( furniture @ X22 @ mactual )
                                                        & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl154]) ).

thf(zip_derived_cl156,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i] :
      ( ~ ( ( eiw_di @ X26 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ mactual )
                                                    & ( in @ Y6 @ X24 @ mactual )
                                                    & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                    & ( in @ Y5 @ X22 @ mactual )
                                                    & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                    & ( young @ Y4 @ mactual )
                                                    & ( man @ Y4 @ mactual )
                                                    & ( fellow @ Y4 @ mactual )
                                                    & ( young @ Y3 @ mactual )
                                                    & ( man @ Y3 @ mactual )
                                                    & ( fellow @ Y3 @ mactual )
                                                    & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                    & ( in @ Y0 @ X26 @ mactual )
                                                    & ( down @ Y0 @ Y1 @ mactual )
                                                    & ( barrel @ Y0 @ Y2 @ mactual )
                                                    & ( old @ Y2 @ mactual )
                                                    & ( dirty @ Y2 @ mactual )
                                                    & ( white @ Y2 @ mactual )
                                                    & ( car @ Y2 @ mactual )
                                                    & ( chevy @ Y2 @ mactual )
                                                    & ( lonely @ Y1 @ mactual )
                                                    & ( way @ Y1 @ mactual )
                                                    & ( street @ Y1 @ mactual )
                                                    & ( event @ Y0 @ mactual )
                                                    & ( city @ X26 @ mactual )
                                                    & ( hollywood @ X26 @ mactual )
                                                    & ( front @ X24 @ mactual )
                                                    & ( furniture @ X24 @ mactual )
                                                    & ( seat @ X24 @ mactual )
                                                    & ( front @ X22 @ mactual )
                                                    & ( furniture @ X22 @ mactual )
                                                    & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl157,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i] :
      ( ~ ( eiw_di @ X26 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ mactual )
                                                  & ( in @ Y6 @ X24 @ mactual )
                                                  & ( qmltpeq @ Y4 @ Y6 @ mactual )
                                                  & ( in @ Y5 @ X22 @ mactual )
                                                  & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                                  & ( young @ Y4 @ mactual )
                                                  & ( man @ Y4 @ mactual )
                                                  & ( fellow @ Y4 @ mactual )
                                                  & ( young @ Y3 @ mactual )
                                                  & ( man @ Y3 @ mactual )
                                                  & ( fellow @ Y3 @ mactual )
                                                  & ( (~) @ ( qmltpeq @ Y3 @ Y4 @ mactual ) )
                                                  & ( in @ Y0 @ X26 @ mactual )
                                                  & ( down @ Y0 @ Y1 @ mactual )
                                                  & ( barrel @ Y0 @ Y2 @ mactual )
                                                  & ( old @ Y2 @ mactual )
                                                  & ( dirty @ Y2 @ mactual )
                                                  & ( white @ Y2 @ mactual )
                                                  & ( car @ Y2 @ mactual )
                                                  & ( chevy @ Y2 @ mactual )
                                                  & ( lonely @ Y1 @ mactual )
                                                  & ( way @ Y1 @ mactual )
                                                  & ( street @ Y1 @ mactual )
                                                  & ( event @ Y0 @ mactual )
                                                  & ( city @ X26 @ mactual )
                                                  & ( hollywood @ X26 @ mactual )
                                                  & ( front @ X24 @ mactual )
                                                  & ( furniture @ X24 @ mactual )
                                                  & ( seat @ X24 @ mactual )
                                                  & ( front @ X22 @ mactual )
                                                  & ( furniture @ X22 @ mactual )
                                                  & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl156]) ).

thf(zip_derived_cl158,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i] :
      ( ~ ( ( eiw_di @ X28 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ mactual )
                                              & ( in @ Y5 @ X24 @ mactual )
                                              & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                              & ( in @ Y4 @ X22 @ mactual )
                                              & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                              & ( young @ Y3 @ mactual )
                                              & ( man @ Y3 @ mactual )
                                              & ( fellow @ Y3 @ mactual )
                                              & ( young @ Y2 @ mactual )
                                              & ( man @ Y2 @ mactual )
                                              & ( fellow @ Y2 @ mactual )
                                              & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                              & ( in @ X28 @ X26 @ mactual )
                                              & ( down @ X28 @ Y0 @ mactual )
                                              & ( barrel @ X28 @ Y1 @ mactual )
                                              & ( old @ Y1 @ mactual )
                                              & ( dirty @ Y1 @ mactual )
                                              & ( white @ Y1 @ mactual )
                                              & ( car @ Y1 @ mactual )
                                              & ( chevy @ Y1 @ mactual )
                                              & ( lonely @ Y0 @ mactual )
                                              & ( way @ Y0 @ mactual )
                                              & ( street @ Y0 @ mactual )
                                              & ( event @ X28 @ mactual )
                                              & ( city @ X26 @ mactual )
                                              & ( hollywood @ X26 @ mactual )
                                              & ( front @ X24 @ mactual )
                                              & ( furniture @ X24 @ mactual )
                                              & ( seat @ X24 @ mactual )
                                              & ( front @ X22 @ mactual )
                                              & ( furniture @ X22 @ mactual )
                                              & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl157]) ).

thf(zip_derived_cl159,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i] :
      ( ~ ( eiw_di @ X28 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ mactual )
                                            & ( in @ Y5 @ X24 @ mactual )
                                            & ( qmltpeq @ Y3 @ Y5 @ mactual )
                                            & ( in @ Y4 @ X22 @ mactual )
                                            & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                            & ( young @ Y3 @ mactual )
                                            & ( man @ Y3 @ mactual )
                                            & ( fellow @ Y3 @ mactual )
                                            & ( young @ Y2 @ mactual )
                                            & ( man @ Y2 @ mactual )
                                            & ( fellow @ Y2 @ mactual )
                                            & ( (~) @ ( qmltpeq @ Y2 @ Y3 @ mactual ) )
                                            & ( in @ X28 @ X26 @ mactual )
                                            & ( down @ X28 @ Y0 @ mactual )
                                            & ( barrel @ X28 @ Y1 @ mactual )
                                            & ( old @ Y1 @ mactual )
                                            & ( dirty @ Y1 @ mactual )
                                            & ( white @ Y1 @ mactual )
                                            & ( car @ Y1 @ mactual )
                                            & ( chevy @ Y1 @ mactual )
                                            & ( lonely @ Y0 @ mactual )
                                            & ( way @ Y0 @ mactual )
                                            & ( street @ Y0 @ mactual )
                                            & ( event @ X28 @ mactual )
                                            & ( city @ X26 @ mactual )
                                            & ( hollywood @ X26 @ mactual )
                                            & ( front @ X24 @ mactual )
                                            & ( furniture @ X24 @ mactual )
                                            & ( seat @ X24 @ mactual )
                                            & ( front @ X22 @ mactual )
                                            & ( furniture @ X22 @ mactual )
                                            & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl158]) ).

thf(zip_derived_cl160,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i] :
      ( ~ ( ( eiw_di @ X30 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ mactual )
                                        & ( in @ Y4 @ X24 @ mactual )
                                        & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                        & ( in @ Y3 @ X22 @ mactual )
                                        & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                        & ( young @ Y2 @ mactual )
                                        & ( man @ Y2 @ mactual )
                                        & ( fellow @ Y2 @ mactual )
                                        & ( young @ Y1 @ mactual )
                                        & ( man @ Y1 @ mactual )
                                        & ( fellow @ Y1 @ mactual )
                                        & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                        & ( in @ X28 @ X26 @ mactual )
                                        & ( down @ X28 @ X30 @ mactual )
                                        & ( barrel @ X28 @ Y0 @ mactual )
                                        & ( old @ Y0 @ mactual )
                                        & ( dirty @ Y0 @ mactual )
                                        & ( white @ Y0 @ mactual )
                                        & ( car @ Y0 @ mactual )
                                        & ( chevy @ Y0 @ mactual )
                                        & ( lonely @ X30 @ mactual )
                                        & ( way @ X30 @ mactual )
                                        & ( street @ X30 @ mactual )
                                        & ( event @ X28 @ mactual )
                                        & ( city @ X26 @ mactual )
                                        & ( hollywood @ X26 @ mactual )
                                        & ( front @ X24 @ mactual )
                                        & ( furniture @ X24 @ mactual )
                                        & ( seat @ X24 @ mactual )
                                        & ( front @ X22 @ mactual )
                                        & ( furniture @ X22 @ mactual )
                                        & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl159]) ).

thf(zip_derived_cl161,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i] :
      ( ~ ( eiw_di @ X30 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ mactual )
                                      & ( in @ Y4 @ X24 @ mactual )
                                      & ( qmltpeq @ Y2 @ Y4 @ mactual )
                                      & ( in @ Y3 @ X22 @ mactual )
                                      & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                      & ( young @ Y2 @ mactual )
                                      & ( man @ Y2 @ mactual )
                                      & ( fellow @ Y2 @ mactual )
                                      & ( young @ Y1 @ mactual )
                                      & ( man @ Y1 @ mactual )
                                      & ( fellow @ Y1 @ mactual )
                                      & ( (~) @ ( qmltpeq @ Y1 @ Y2 @ mactual ) )
                                      & ( in @ X28 @ X26 @ mactual )
                                      & ( down @ X28 @ X30 @ mactual )
                                      & ( barrel @ X28 @ Y0 @ mactual )
                                      & ( old @ Y0 @ mactual )
                                      & ( dirty @ Y0 @ mactual )
                                      & ( white @ Y0 @ mactual )
                                      & ( car @ Y0 @ mactual )
                                      & ( chevy @ Y0 @ mactual )
                                      & ( lonely @ X30 @ mactual )
                                      & ( way @ X30 @ mactual )
                                      & ( street @ X30 @ mactual )
                                      & ( event @ X28 @ mactual )
                                      & ( city @ X26 @ mactual )
                                      & ( hollywood @ X26 @ mactual )
                                      & ( front @ X24 @ mactual )
                                      & ( furniture @ X24 @ mactual )
                                      & ( seat @ X24 @ mactual )
                                      & ( front @ X22 @ mactual )
                                      & ( furniture @ X22 @ mactual )
                                      & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl162,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i] :
      ( ~ ( ( eiw_di @ X32 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ mactual )
                                  & ( in @ Y3 @ X24 @ mactual )
                                  & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                  & ( in @ Y2 @ X22 @ mactual )
                                  & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                  & ( young @ Y1 @ mactual )
                                  & ( man @ Y1 @ mactual )
                                  & ( fellow @ Y1 @ mactual )
                                  & ( young @ Y0 @ mactual )
                                  & ( man @ Y0 @ mactual )
                                  & ( fellow @ Y0 @ mactual )
                                  & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                                  & ( in @ X28 @ X26 @ mactual )
                                  & ( down @ X28 @ X30 @ mactual )
                                  & ( barrel @ X28 @ X32 @ mactual )
                                  & ( old @ X32 @ mactual )
                                  & ( dirty @ X32 @ mactual )
                                  & ( white @ X32 @ mactual )
                                  & ( car @ X32 @ mactual )
                                  & ( chevy @ X32 @ mactual )
                                  & ( lonely @ X30 @ mactual )
                                  & ( way @ X30 @ mactual )
                                  & ( street @ X30 @ mactual )
                                  & ( event @ X28 @ mactual )
                                  & ( city @ X26 @ mactual )
                                  & ( hollywood @ X26 @ mactual )
                                  & ( front @ X24 @ mactual )
                                  & ( furniture @ X24 @ mactual )
                                  & ( seat @ X24 @ mactual )
                                  & ( front @ X22 @ mactual )
                                  & ( furniture @ X22 @ mactual )
                                  & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl161]) ).

thf(zip_derived_cl163,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i] :
      ( ~ ( eiw_di @ X32 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y3 @ X24 @ mactual )
                                & ( qmltpeq @ Y1 @ Y3 @ mactual )
                                & ( in @ Y2 @ X22 @ mactual )
                                & ( qmltpeq @ Y0 @ Y2 @ mactual )
                                & ( young @ Y1 @ mactual )
                                & ( man @ Y1 @ mactual )
                                & ( fellow @ Y1 @ mactual )
                                & ( young @ Y0 @ mactual )
                                & ( man @ Y0 @ mactual )
                                & ( fellow @ Y0 @ mactual )
                                & ( (~) @ ( qmltpeq @ Y0 @ Y1 @ mactual ) )
                                & ( in @ X28 @ X26 @ mactual )
                                & ( down @ X28 @ X30 @ mactual )
                                & ( barrel @ X28 @ X32 @ mactual )
                                & ( old @ X32 @ mactual )
                                & ( dirty @ X32 @ mactual )
                                & ( white @ X32 @ mactual )
                                & ( car @ X32 @ mactual )
                                & ( chevy @ X32 @ mactual )
                                & ( lonely @ X30 @ mactual )
                                & ( way @ X30 @ mactual )
                                & ( street @ X30 @ mactual )
                                & ( event @ X28 @ mactual )
                                & ( city @ X26 @ mactual )
                                & ( hollywood @ X26 @ mactual )
                                & ( front @ X24 @ mactual )
                                & ( furniture @ X24 @ mactual )
                                & ( seat @ X24 @ mactual )
                                & ( front @ X22 @ mactual )
                                & ( furniture @ X22 @ mactual )
                                & ( seat @ X22 @ mactual ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl162]) ).

thf(zip_derived_cl164,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i] :
      ( ~ ( ( eiw_di @ X34 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( in @ Y2 @ X24 @ mactual )
                            & ( qmltpeq @ Y0 @ Y2 @ mactual )
                            & ( in @ Y1 @ X22 @ mactual )
                            & ( qmltpeq @ X34 @ Y1 @ mactual )
                            & ( young @ Y0 @ mactual )
                            & ( man @ Y0 @ mactual )
                            & ( fellow @ Y0 @ mactual )
                            & ( young @ X34 @ mactual )
                            & ( man @ X34 @ mactual )
                            & ( fellow @ X34 @ mactual )
                            & ( (~) @ ( qmltpeq @ X34 @ Y0 @ mactual ) )
                            & ( in @ X28 @ X26 @ mactual )
                            & ( down @ X28 @ X30 @ mactual )
                            & ( barrel @ X28 @ X32 @ mactual )
                            & ( old @ X32 @ mactual )
                            & ( dirty @ X32 @ mactual )
                            & ( white @ X32 @ mactual )
                            & ( car @ X32 @ mactual )
                            & ( chevy @ X32 @ mactual )
                            & ( lonely @ X30 @ mactual )
                            & ( way @ X30 @ mactual )
                            & ( street @ X30 @ mactual )
                            & ( event @ X28 @ mactual )
                            & ( city @ X26 @ mactual )
                            & ( hollywood @ X26 @ mactual )
                            & ( front @ X24 @ mactual )
                            & ( furniture @ X24 @ mactual )
                            & ( seat @ X24 @ mactual )
                            & ( front @ X22 @ mactual )
                            & ( furniture @ X22 @ mactual )
                            & ( seat @ X22 @ mactual ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl165,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i] :
      ( ~ ( eiw_di @ X34 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( in @ Y2 @ X24 @ mactual )
                          & ( qmltpeq @ Y0 @ Y2 @ mactual )
                          & ( in @ Y1 @ X22 @ mactual )
                          & ( qmltpeq @ X34 @ Y1 @ mactual )
                          & ( young @ Y0 @ mactual )
                          & ( man @ Y0 @ mactual )
                          & ( fellow @ Y0 @ mactual )
                          & ( young @ X34 @ mactual )
                          & ( man @ X34 @ mactual )
                          & ( fellow @ X34 @ mactual )
                          & ( (~) @ ( qmltpeq @ X34 @ Y0 @ mactual ) )
                          & ( in @ X28 @ X26 @ mactual )
                          & ( down @ X28 @ X30 @ mactual )
                          & ( barrel @ X28 @ X32 @ mactual )
                          & ( old @ X32 @ mactual )
                          & ( dirty @ X32 @ mactual )
                          & ( white @ X32 @ mactual )
                          & ( car @ X32 @ mactual )
                          & ( chevy @ X32 @ mactual )
                          & ( lonely @ X30 @ mactual )
                          & ( way @ X30 @ mactual )
                          & ( street @ X30 @ mactual )
                          & ( event @ X28 @ mactual )
                          & ( city @ X26 @ mactual )
                          & ( hollywood @ X26 @ mactual )
                          & ( front @ X24 @ mactual )
                          & ( furniture @ X24 @ mactual )
                          & ( seat @ X24 @ mactual )
                          & ( front @ X22 @ mactual )
                          & ( furniture @ X22 @ mactual )
                          & ( seat @ X22 @ mactual ) ) ) ) ) ) )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl166,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i] :
      ( ~ ( ( eiw_di @ X36 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( in @ Y1 @ X24 @ mactual )
                      & ( qmltpeq @ X36 @ Y1 @ mactual )
                      & ( in @ Y0 @ X22 @ mactual )
                      & ( qmltpeq @ X34 @ Y0 @ mactual )
                      & ( young @ X36 @ mactual )
                      & ( man @ X36 @ mactual )
                      & ( fellow @ X36 @ mactual )
                      & ( young @ X34 @ mactual )
                      & ( man @ X34 @ mactual )
                      & ( fellow @ X34 @ mactual )
                      & ( (~) @ ( qmltpeq @ X34 @ X36 @ mactual ) )
                      & ( in @ X28 @ X26 @ mactual )
                      & ( down @ X28 @ X30 @ mactual )
                      & ( barrel @ X28 @ X32 @ mactual )
                      & ( old @ X32 @ mactual )
                      & ( dirty @ X32 @ mactual )
                      & ( white @ X32 @ mactual )
                      & ( car @ X32 @ mactual )
                      & ( chevy @ X32 @ mactual )
                      & ( lonely @ X30 @ mactual )
                      & ( way @ X30 @ mactual )
                      & ( street @ X30 @ mactual )
                      & ( event @ X28 @ mactual )
                      & ( city @ X26 @ mactual )
                      & ( hollywood @ X26 @ mactual )
                      & ( front @ X24 @ mactual )
                      & ( furniture @ X24 @ mactual )
                      & ( seat @ X24 @ mactual )
                      & ( front @ X22 @ mactual )
                      & ( furniture @ X22 @ mactual )
                      & ( seat @ X22 @ mactual ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl167,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i] :
      ( ~ ( eiw_di @ X36 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( in @ Y1 @ X24 @ mactual )
                    & ( qmltpeq @ X36 @ Y1 @ mactual )
                    & ( in @ Y0 @ X22 @ mactual )
                    & ( qmltpeq @ X34 @ Y0 @ mactual )
                    & ( young @ X36 @ mactual )
                    & ( man @ X36 @ mactual )
                    & ( fellow @ X36 @ mactual )
                    & ( young @ X34 @ mactual )
                    & ( man @ X34 @ mactual )
                    & ( fellow @ X34 @ mactual )
                    & ( (~) @ ( qmltpeq @ X34 @ X36 @ mactual ) )
                    & ( in @ X28 @ X26 @ mactual )
                    & ( down @ X28 @ X30 @ mactual )
                    & ( barrel @ X28 @ X32 @ mactual )
                    & ( old @ X32 @ mactual )
                    & ( dirty @ X32 @ mactual )
                    & ( white @ X32 @ mactual )
                    & ( car @ X32 @ mactual )
                    & ( chevy @ X32 @ mactual )
                    & ( lonely @ X30 @ mactual )
                    & ( way @ X30 @ mactual )
                    & ( street @ X30 @ mactual )
                    & ( event @ X28 @ mactual )
                    & ( city @ X26 @ mactual )
                    & ( hollywood @ X26 @ mactual )
                    & ( front @ X24 @ mactual )
                    & ( furniture @ X24 @ mactual )
                    & ( seat @ X24 @ mactual )
                    & ( front @ X22 @ mactual )
                    & ( furniture @ X22 @ mactual )
                    & ( seat @ X22 @ mactual ) ) ) ) )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl168,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i,X38: $i] :
      ( ~ ( ( eiw_di @ X38 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( in @ Y0 @ X24 @ mactual )
                & ( qmltpeq @ X36 @ Y0 @ mactual )
                & ( in @ X38 @ X22 @ mactual )
                & ( qmltpeq @ X34 @ X38 @ mactual )
                & ( young @ X36 @ mactual )
                & ( man @ X36 @ mactual )
                & ( fellow @ X36 @ mactual )
                & ( young @ X34 @ mactual )
                & ( man @ X34 @ mactual )
                & ( fellow @ X34 @ mactual )
                & ( (~) @ ( qmltpeq @ X34 @ X36 @ mactual ) )
                & ( in @ X28 @ X26 @ mactual )
                & ( down @ X28 @ X30 @ mactual )
                & ( barrel @ X28 @ X32 @ mactual )
                & ( old @ X32 @ mactual )
                & ( dirty @ X32 @ mactual )
                & ( white @ X32 @ mactual )
                & ( car @ X32 @ mactual )
                & ( chevy @ X32 @ mactual )
                & ( lonely @ X30 @ mactual )
                & ( way @ X30 @ mactual )
                & ( street @ X30 @ mactual )
                & ( event @ X28 @ mactual )
                & ( city @ X26 @ mactual )
                & ( hollywood @ X26 @ mactual )
                & ( front @ X24 @ mactual )
                & ( furniture @ X24 @ mactual )
                & ( seat @ X24 @ mactual )
                & ( front @ X22 @ mactual )
                & ( furniture @ X22 @ mactual )
                & ( seat @ X22 @ mactual ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X36 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl167]) ).

thf(zip_derived_cl169,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i,X38: $i] :
      ( ~ ( eiw_di @ X38 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( in @ Y0 @ X24 @ mactual )
              & ( qmltpeq @ X36 @ Y0 @ mactual )
              & ( in @ X38 @ X22 @ mactual )
              & ( qmltpeq @ X34 @ X38 @ mactual )
              & ( young @ X36 @ mactual )
              & ( man @ X36 @ mactual )
              & ( fellow @ X36 @ mactual )
              & ( young @ X34 @ mactual )
              & ( man @ X34 @ mactual )
              & ( fellow @ X34 @ mactual )
              & ( (~) @ ( qmltpeq @ X34 @ X36 @ mactual ) )
              & ( in @ X28 @ X26 @ mactual )
              & ( down @ X28 @ X30 @ mactual )
              & ( barrel @ X28 @ X32 @ mactual )
              & ( old @ X32 @ mactual )
              & ( dirty @ X32 @ mactual )
              & ( white @ X32 @ mactual )
              & ( car @ X32 @ mactual )
              & ( chevy @ X32 @ mactual )
              & ( lonely @ X30 @ mactual )
              & ( way @ X30 @ mactual )
              & ( street @ X30 @ mactual )
              & ( event @ X28 @ mactual )
              & ( city @ X26 @ mactual )
              & ( hollywood @ X26 @ mactual )
              & ( front @ X24 @ mactual )
              & ( furniture @ X24 @ mactual )
              & ( seat @ X24 @ mactual )
              & ( front @ X22 @ mactual )
              & ( furniture @ X22 @ mactual )
              & ( seat @ X22 @ mactual ) ) )
      | ~ ( eiw_di @ X36 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl168]) ).

thf(zip_derived_cl170,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i,X38: $i,X40: $i] :
      ( ~ ( ( eiw_di @ X40 @ mactual )
          & ( in @ X40 @ X24 @ mactual )
          & ( qmltpeq @ X36 @ X40 @ mactual )
          & ( in @ X38 @ X22 @ mactual )
          & ( qmltpeq @ X34 @ X38 @ mactual )
          & ( young @ X36 @ mactual )
          & ( man @ X36 @ mactual )
          & ( fellow @ X36 @ mactual )
          & ( young @ X34 @ mactual )
          & ( man @ X34 @ mactual )
          & ( fellow @ X34 @ mactual )
          & ( (~) @ ( qmltpeq @ X34 @ X36 @ mactual ) )
          & ( in @ X28 @ X26 @ mactual )
          & ( down @ X28 @ X30 @ mactual )
          & ( barrel @ X28 @ X32 @ mactual )
          & ( old @ X32 @ mactual )
          & ( dirty @ X32 @ mactual )
          & ( white @ X32 @ mactual )
          & ( car @ X32 @ mactual )
          & ( chevy @ X32 @ mactual )
          & ( lonely @ X30 @ mactual )
          & ( way @ X30 @ mactual )
          & ( street @ X30 @ mactual )
          & ( event @ X28 @ mactual )
          & ( city @ X26 @ mactual )
          & ( hollywood @ X26 @ mactual )
          & ( front @ X24 @ mactual )
          & ( furniture @ X24 @ mactual )
          & ( seat @ X24 @ mactual )
          & ( front @ X22 @ mactual )
          & ( furniture @ X22 @ mactual )
          & ( seat @ X22 @ mactual ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X36 @ mactual )
      | ~ ( eiw_di @ X38 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl169]) ).

thf(zip_derived_cl171,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i,X38: $i,X40: $i] :
      ( ~ ( eiw_di @ X40 @ mactual )
      | ~ ( in @ X40 @ X24 @ mactual )
      | ~ ( qmltpeq @ X36 @ X40 @ mactual )
      | ~ ( in @ X38 @ X22 @ mactual )
      | ~ ( qmltpeq @ X34 @ X38 @ mactual )
      | ~ ( young @ X36 @ mactual )
      | ~ ( man @ X36 @ mactual )
      | ~ ( fellow @ X36 @ mactual )
      | ~ ( young @ X34 @ mactual )
      | ~ ( man @ X34 @ mactual )
      | ~ ( fellow @ X34 @ mactual )
      | ( qmltpeq @ X34 @ X36 @ mactual )
      | ~ ( in @ X28 @ X26 @ mactual )
      | ~ ( down @ X28 @ X30 @ mactual )
      | ~ ( barrel @ X28 @ X32 @ mactual )
      | ~ ( old @ X32 @ mactual )
      | ~ ( dirty @ X32 @ mactual )
      | ~ ( white @ X32 @ mactual )
      | ~ ( car @ X32 @ mactual )
      | ~ ( chevy @ X32 @ mactual )
      | ~ ( lonely @ X30 @ mactual )
      | ~ ( way @ X30 @ mactual )
      | ~ ( street @ X30 @ mactual )
      | ~ ( event @ X28 @ mactual )
      | ~ ( city @ X26 @ mactual )
      | ~ ( hollywood @ X26 @ mactual )
      | ~ ( front @ X24 @ mactual )
      | ~ ( furniture @ X24 @ mactual )
      | ~ ( seat @ X24 @ mactual )
      | ~ ( front @ X22 @ mactual )
      | ~ ( furniture @ X22 @ mactual )
      | ~ ( seat @ X22 @ mactual )
      | ~ ( eiw_di @ X38 @ mactual )
      | ~ ( eiw_di @ X36 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X5 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X7 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( seat @ X0 @ mactual )
      | ~ ( furniture @ X0 @ mactual )
      | ~ ( front @ X0 @ mactual )
      | ~ ( seat @ X1 @ mactual )
      | ~ ( furniture @ X1 @ mactual )
      | ~ ( front @ X1 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X3 @ mactual )
      | ~ ( chevy @ X4 @ mactual )
      | ~ ( car @ X4 @ mactual )
      | ~ ( white @ X4 @ mactual )
      | ~ ( dirty @ X4 @ mactual )
      | ~ ( old @ X4 @ mactual )
      | ~ ( street @ X5 @ mactual )
      | ~ ( way @ X5 @ mactual )
      | ~ ( lonely @ X5 @ mactual )
      | ~ ( barrel @ X3 @ X4 @ mactual )
      | ~ ( down @ X3 @ X5 @ mactual )
      | ~ ( in @ X3 @ X2 @ mactual )
      | ( qmltpeq @ X6 @ X7 @ mactual )
      | ~ ( fellow @ X6 @ mactual )
      | ~ ( man @ X6 @ mactual )
      | ~ ( young @ X6 @ mactual )
      | ~ ( fellow @ X7 @ mactual )
      | ~ ( man @ X7 @ mactual )
      | ~ ( young @ X7 @ mactual )
      | ~ ( qmltpeq @ X6 @ X8 @ mactual )
      | ~ ( in @ X8 @ X0 @ mactual )
      | ~ ( qmltpeq @ X7 @ X9 @ mactual )
      | ~ ( in @ X9 @ X1 @ mactual )
      | ~ ( eiw_di @ X9 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ '#sk5' @ mactual )
      | ~ ( eiw_di @ X11 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X13 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X15 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X17 @ mactual )
      | ~ ( seat @ X10 @ mactual )
      | ~ ( furniture @ X10 @ mactual )
      | ~ ( front @ X10 @ mactual )
      | ~ ( seat @ '#sk5' @ mactual )
      | ~ ( furniture @ '#sk5' @ mactual )
      | ~ ( front @ '#sk5' @ mactual )
      | ~ ( hollywood @ X11 @ mactual )
      | ~ ( city @ X11 @ mactual )
      | ~ ( event @ X12 @ mactual )
      | ~ ( street @ X13 @ mactual )
      | ~ ( way @ X13 @ mactual )
      | ~ ( lonely @ X13 @ mactual )
      | ~ ( chevy @ X14 @ mactual )
      | ~ ( car @ X14 @ mactual )
      | ~ ( white @ X14 @ mactual )
      | ~ ( dirty @ X14 @ mactual )
      | ~ ( old @ X14 @ mactual )
      | ~ ( barrel @ X12 @ X14 @ mactual )
      | ~ ( down @ X12 @ X13 @ mactual )
      | ~ ( in @ X12 @ X11 @ mactual )
      | ( qmltpeq @ X15 @ X16 @ mactual )
      | ~ ( fellow @ X15 @ mactual )
      | ~ ( man @ X15 @ mactual )
      | ~ ( young @ X15 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X15 @ X17 @ mactual )
      | ~ ( in @ X17 @ X10 @ mactual )
      | ~ ( qmltpeq @ X16 @ '#sk21' @ mactual )
      | ~ ( eiw_di @ '#sk21' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl171]) ).

thf(zip_derived_cl48,plain,
    ( ( eiw_di @ '#sk10' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl109,plain,
    ( ( way @ '#sk10' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl110,plain,
    ( ( street @ '#sk10' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl108,plain,
    ( ( lonely @ '#sk10' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl101,plain,
    ( ( down @ '#sk8' @ '#sk10' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl56,plain,
    ( ( eiw_di @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl40,plain,
    ( ( eiw_di @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl107,plain,
    ( ( chevy @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl104,plain,
    ( ( dirty @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl103,plain,
    ( ( old @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl105,plain,
    ( ( white @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl106,plain,
    ( ( car @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl111,plain,
    ( ( event @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl102,plain,
    ( ( barrel @ '#sk8' @ '#sk12' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl171_005,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i,X20: $i,X22: $i,X24: $i,X26: $i,X28: $i,X30: $i,X32: $i,X34: $i,X36: $i,X38: $i,X40: $i] :
      ( ~ ( eiw_di @ X40 @ mactual )
      | ~ ( in @ X40 @ X24 @ mactual )
      | ~ ( qmltpeq @ X36 @ X40 @ mactual )
      | ~ ( in @ X38 @ X22 @ mactual )
      | ~ ( qmltpeq @ X34 @ X38 @ mactual )
      | ~ ( young @ X36 @ mactual )
      | ~ ( man @ X36 @ mactual )
      | ~ ( fellow @ X36 @ mactual )
      | ~ ( young @ X34 @ mactual )
      | ~ ( man @ X34 @ mactual )
      | ~ ( fellow @ X34 @ mactual )
      | ( qmltpeq @ X34 @ X36 @ mactual )
      | ~ ( in @ X28 @ X26 @ mactual )
      | ~ ( down @ X28 @ X30 @ mactual )
      | ~ ( barrel @ X28 @ X32 @ mactual )
      | ~ ( old @ X32 @ mactual )
      | ~ ( dirty @ X32 @ mactual )
      | ~ ( white @ X32 @ mactual )
      | ~ ( car @ X32 @ mactual )
      | ~ ( chevy @ X32 @ mactual )
      | ~ ( lonely @ X30 @ mactual )
      | ~ ( way @ X30 @ mactual )
      | ~ ( street @ X30 @ mactual )
      | ~ ( event @ X28 @ mactual )
      | ~ ( city @ X26 @ mactual )
      | ~ ( hollywood @ X26 @ mactual )
      | ~ ( front @ X24 @ mactual )
      | ~ ( furniture @ X24 @ mactual )
      | ~ ( seat @ X24 @ mactual )
      | ~ ( front @ X22 @ mactual )
      | ~ ( furniture @ X22 @ mactual )
      | ~ ( seat @ X22 @ mactual )
      | ~ ( eiw_di @ X38 @ mactual )
      | ~ ( eiw_di @ X36 @ mactual )
      | ~ ( eiw_di @ X34 @ mactual )
      | ~ ( eiw_di @ X32 @ mactual )
      | ~ ( eiw_di @ X30 @ mactual )
      | ~ ( eiw_di @ X28 @ mactual )
      | ~ ( eiw_di @ X26 @ mactual )
      | ~ ( eiw_di @ X24 @ mactual )
      | ~ ( eiw_di @ X22 @ mactual )
      | ~ ( eiw_di @ X20 @ mactual )
      | ~ ( in @ X20 @ X4 @ mactual )
      | ~ ( qmltpeq @ X16 @ X20 @ mactual )
      | ~ ( in @ X18 @ X2 @ mactual )
      | ~ ( qmltpeq @ X14 @ X18 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X14 @ mactual )
      | ~ ( man @ X14 @ mactual )
      | ~ ( fellow @ X14 @ mactual )
      | ( qmltpeq @ X14 @ X16 @ mactual )
      | ~ ( in @ X8 @ X6 @ mactual )
      | ~ ( down @ X8 @ X12 @ mactual )
      | ~ ( barrel @ X8 @ X10 @ mactual )
      | ~ ( lonely @ X12 @ mactual )
      | ~ ( way @ X12 @ mactual )
      | ~ ( street @ X12 @ mactual )
      | ~ ( old @ X10 @ mactual )
      | ~ ( dirty @ X10 @ mactual )
      | ~ ( white @ X10 @ mactual )
      | ~ ( car @ X10 @ mactual )
      | ~ ( chevy @ X10 @ mactual )
      | ~ ( event @ X8 @ mactual )
      | ~ ( city @ X6 @ mactual )
      | ~ ( hollywood @ X6 @ mactual )
      | ~ ( front @ X4 @ mactual )
      | ~ ( furniture @ X4 @ mactual )
      | ~ ( seat @ X4 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X18 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X5 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X7 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X9 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( seat @ X0 @ mactual )
      | ~ ( furniture @ X0 @ mactual )
      | ~ ( front @ X0 @ mactual )
      | ~ ( hollywood @ X3 @ mactual )
      | ~ ( city @ X3 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( chevy @ X5 @ mactual )
      | ~ ( car @ X5 @ mactual )
      | ~ ( white @ X5 @ mactual )
      | ~ ( dirty @ X5 @ mactual )
      | ~ ( old @ X5 @ mactual )
      | ~ ( street @ X6 @ mactual )
      | ~ ( way @ X6 @ mactual )
      | ~ ( lonely @ X6 @ mactual )
      | ~ ( barrel @ X4 @ X5 @ mactual )
      | ~ ( down @ X4 @ X6 @ mactual )
      | ~ ( in @ X4 @ X3 @ mactual )
      | ( qmltpeq @ X7 @ X8 @ mactual )
      | ~ ( fellow @ X7 @ mactual )
      | ~ ( man @ X7 @ mactual )
      | ~ ( young @ X7 @ mactual )
      | ~ ( fellow @ X8 @ mactual )
      | ~ ( man @ X8 @ mactual )
      | ~ ( young @ X8 @ mactual )
      | ~ ( qmltpeq @ X7 @ X9 @ mactual )
      | ~ ( in @ X9 @ X2 @ mactual )
      | ~ ( qmltpeq @ X8 @ X1 @ mactual )
      | ~ ( in @ X1 @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X11 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X13 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X15 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X17 @ mactual )
      | ~ ( seat @ X10 @ mactual )
      | ~ ( furniture @ X10 @ mactual )
      | ~ ( front @ X10 @ mactual )
      | ~ ( seat @ X0 @ mactual )
      | ~ ( furniture @ X0 @ mactual )
      | ~ ( front @ X0 @ mactual )
      | ~ ( hollywood @ X11 @ mactual )
      | ~ ( city @ X11 @ mactual )
      | ~ ( event @ X12 @ mactual )
      | ~ ( street @ X13 @ mactual )
      | ~ ( way @ X13 @ mactual )
      | ~ ( lonely @ X13 @ mactual )
      | ~ ( chevy @ X14 @ mactual )
      | ~ ( car @ X14 @ mactual )
      | ~ ( white @ X14 @ mactual )
      | ~ ( dirty @ X14 @ mactual )
      | ~ ( old @ X14 @ mactual )
      | ~ ( barrel @ X12 @ X14 @ mactual )
      | ~ ( down @ X12 @ X13 @ mactual )
      | ~ ( in @ X12 @ X11 @ mactual )
      | ( qmltpeq @ X15 @ X16 @ mactual )
      | ~ ( fellow @ X15 @ mactual )
      | ~ ( man @ X15 @ mactual )
      | ~ ( young @ X15 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( qmltpeq @ X15 @ X17 @ mactual )
      | ~ ( in @ X17 @ X10 @ mactual )
      | ~ ( qmltpeq @ X16 @ X1 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( qmltpeq @ X16 @ X1 @ mactual )
      | ~ ( in @ X17 @ X10 @ mactual )
      | ~ ( qmltpeq @ X15 @ X17 @ mactual )
      | ~ ( young @ X16 @ mactual )
      | ~ ( man @ X16 @ mactual )
      | ~ ( fellow @ X16 @ mactual )
      | ~ ( young @ X15 @ mactual )
      | ~ ( man @ X15 @ mactual )
      | ~ ( fellow @ X15 @ mactual )
      | ( qmltpeq @ X15 @ X16 @ mactual )
      | ~ ( in @ X12 @ X11 @ mactual )
      | ~ ( down @ X12 @ X13 @ mactual )
      | ~ ( barrel @ X12 @ X14 @ mactual )
      | ~ ( old @ X14 @ mactual )
      | ~ ( dirty @ X14 @ mactual )
      | ~ ( white @ X14 @ mactual )
      | ~ ( car @ X14 @ mactual )
      | ~ ( chevy @ X14 @ mactual )
      | ~ ( lonely @ X13 @ mactual )
      | ~ ( way @ X13 @ mactual )
      | ~ ( street @ X13 @ mactual )
      | ~ ( event @ X12 @ mactual )
      | ~ ( city @ X11 @ mactual )
      | ~ ( hollywood @ X11 @ mactual )
      | ~ ( front @ X10 @ mactual )
      | ~ ( furniture @ X10 @ mactual )
      | ~ ( seat @ X10 @ mactual )
      | ~ ( eiw_di @ X17 @ mactual )
      | ~ ( eiw_di @ X16 @ mactual )
      | ~ ( eiw_di @ X15 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X13 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X11 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( in @ X1 @ X0 @ mactual )
      | ~ ( qmltpeq @ X8 @ X1 @ mactual )
      | ~ ( in @ X9 @ X2 @ mactual )
      | ~ ( qmltpeq @ X7 @ X9 @ mactual )
      | ~ ( young @ X8 @ mactual )
      | ~ ( man @ X8 @ mactual )
      | ~ ( fellow @ X8 @ mactual )
      | ~ ( young @ X7 @ mactual )
      | ~ ( man @ X7 @ mactual )
      | ~ ( fellow @ X7 @ mactual )
      | ( qmltpeq @ X7 @ X8 @ mactual )
      | ~ ( in @ X4 @ X3 @ mactual )
      | ~ ( down @ X4 @ X6 @ mactual )
      | ~ ( barrel @ X4 @ X5 @ mactual )
      | ~ ( lonely @ X6 @ mactual )
      | ~ ( way @ X6 @ mactual )
      | ~ ( street @ X6 @ mactual )
      | ~ ( old @ X5 @ mactual )
      | ~ ( dirty @ X5 @ mactual )
      | ~ ( white @ X5 @ mactual )
      | ~ ( car @ X5 @ mactual )
      | ~ ( chevy @ X5 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( city @ X3 @ mactual )
      | ~ ( hollywood @ X3 @ mactual )
      | ~ ( front @ X0 @ mactual )
      | ~ ( furniture @ X0 @ mactual )
      | ~ ( seat @ X0 @ mactual )
      | ~ ( front @ X2 @ mactual )
      | ~ ( furniture @ X2 @ mactual )
      | ~ ( seat @ X2 @ mactual )
      | ~ ( eiw_di @ X9 @ mactual )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X7 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X5 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl180]) ).

thf(zip_derived_cl1348,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl132,zip_derived_cl131,zip_derived_cl129,zip_derived_cl67,zip_derived_cl125,zip_derived_cl130,zip_derived_cl128,zip_derived_cl126,zip_derived_cl75,zip_derived_cl123,zip_derived_cl127,zip_derived_cl146,zip_derived_cl35,zip_derived_cl133,zip_derived_cl145,zip_derived_cl122,zip_derived_cl90,zip_derived_cl72,zip_derived_cl93,zip_derived_cl95,zip_derived_cl94,zip_derived_cl99,zip_derived_cl92,zip_derived_cl64,zip_derived_cl96,zip_derived_cl98,zip_derived_cl97,zip_derived_cl83,zip_derived_cl19,zip_derived_cl152,zip_derived_cl151,zip_derived_cl150,zip_derived_cl124,zip_derived_cl100,zip_derived_cl32,zip_derived_cl113,zip_derived_cl112,zip_derived_cl24,zip_derived_cl88,zip_derived_cl116,zip_derived_cl115,zip_derived_cl114,zip_derived_cl89,zip_derived_cl59,zip_derived_cl137,zip_derived_cl138,zip_derived_cl136,zip_derived_cl134,zip_derived_cl16,zip_derived_cl80,zip_derived_cl119,zip_derived_cl118,zip_derived_cl117,zip_derived_cl91,zip_derived_cl51,zip_derived_cl43,zip_derived_cl143,zip_derived_cl140,zip_derived_cl139,zip_derived_cl141,zip_derived_cl142,zip_derived_cl144,zip_derived_cl135,zip_derived_cl27,zip_derived_cl121,zip_derived_cl149,zip_derived_cl148,zip_derived_cl147,zip_derived_cl172,zip_derived_cl48,zip_derived_cl109,zip_derived_cl110,zip_derived_cl108,zip_derived_cl101,zip_derived_cl56,zip_derived_cl40,zip_derived_cl107,zip_derived_cl104,zip_derived_cl103,zip_derived_cl105,zip_derived_cl106,zip_derived_cl111,zip_derived_cl102,zip_derived_cl185]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP004^12 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.owJvRPjl8q true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 300
% 0.20/0.34  % DateTime : Thu Aug 24 10:29:42 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 94.80/12.78  % Solved by lams/20_acsne_simpl.sh.
% 94.80/12.78  % done 509 iterations in 11.674s
% 94.80/12.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 94.80/12.78  % SZS output start Refutation
% See solution above
% 94.80/12.82  
% 94.80/12.82  
% 94.80/12.83  % Terminating...
% 95.14/12.90  % Runner terminated.
% 95.14/12.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------