TSTP Solution File: NLP004^7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP004^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zHPJ113lSu true

% Computer : n015.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 10:18:03 EDT 2023

% Result   : Theorem 88.00s 11.95s
% Output   : Refutation 88.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  111
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  497 (  97 unt;  52 typ;   0 def)
%            Number of atoms       : 12477 (  21 equ;3638 cnn)
%            Maximal formula atoms :  330 (  28 avg)
%            Number of connectives : 35280 (6345   ~;6346   |;   0   &;20892   @)
%                                         (   0 <=>; 915  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   72 (  21 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  112 ( 112   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   56 (  51 usr;  26 con; 0-3 aty)
%                                         ( 782  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   : 1392 ( 870   ^; 522   !;   0   ?;1392   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mu_type,type,
    mu: $tType ).

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

thf('#sk21_type',type,
    '#sk21': mu ).

thf('#sk20_type',type,
    '#sk20': mu ).

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

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

thf('#sk17_type',type,
    '#sk17': mu ).

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

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

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

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

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

thf('#sk12_type',type,
    '#sk12': mu ).

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

thf(mforall_ind_type,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

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

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

thf('#sk4_type',type,
    '#sk4': mu ).

thf('#sk19_type',type,
    '#sk19': mu ).

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

thf(mor_type,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk10_type',type,
    '#sk10': mu ).

thf('#sk3_type',type,
    '#sk3': mu ).

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

thf('#sk11_type',type,
    '#sk11': mu ).

thf('#sk6_type',type,
    '#sk6': mu ).

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

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

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

thf('#sk13_type',type,
    '#sk13': mu ).

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

thf('#sk9_type',type,
    '#sk9': mu ).

thf(mexists_ind_type,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

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

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

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

thf('#sk8_type',type,
    '#sk8': mu ).

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

thf('#sk5_type',type,
    '#sk5': mu ).

thf('#sk7_type',type,
    '#sk7': mu ).

thf(exists_in_world_type,type,
    exists_in_world: mu > $i > $o ).

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

thf('#sk14_type',type,
    '#sk14': mu ).

thf('#sk18_type',type,
    '#sk18': mu ).

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

thf('#sk15_type',type,
    '#sk15': mu ).

thf('#sk22_type',type,
    '#sk22': mu ).

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

thf('#sk16_type',type,
    '#sk16': mu ).

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

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

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('0',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('1',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(mexists_ind,axiom,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).

thf(mforall_ind,axiom,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] :
          ( ( exists_in_world @ X @ W )
         => ( Phi @ X @ W ) ) ) ) ).

thf('2',plain,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] :
          ( ( exists_in_world @ X @ W )
         => ( Phi @ X @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).

thf('3',plain,
    ( mforall_ind
    = ( ^ [V_1: mu > $i > $o,V_2: $i] :
        ! [X4: mu] :
          ( ( exists_in_world @ X4 @ V_2 )
         => ( V_1 @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ) ).

thf('4',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('5',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_ind,'3','5']) ).

thf('7',plain,
    ( mexists_ind
    = ( ^ [V_1: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ) ).

thf('8',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('9',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('10',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'9','5']) ).

thf('11',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mand,axiom,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).

thf('12',plain,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand,'9','5']) ).

thf('13',plain,
    ( mand
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(co1,conjecture,
    ( mvalid
    @ ( mand
      @ ( mimplies
        @ ( mexists_ind
          @ ^ [U: mu] :
              ( mexists_ind
              @ ^ [V: mu] :
                  ( mexists_ind
                  @ ^ [W: mu] :
                      ( mexists_ind
                      @ ^ [X: mu] :
                          ( mexists_ind
                          @ ^ [Y: mu] :
                              ( mexists_ind
                              @ ^ [Z: mu] :
                                  ( mexists_ind
                                  @ ^ [X1: mu] :
                                      ( mexists_ind
                                      @ ^ [X2: mu] :
                                          ( mexists_ind
                                          @ ^ [X4: mu] :
                                              ( mexists_ind
                                              @ ^ [X5: mu] : ( 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_ind
          @ ^ [X6: mu] :
              ( mexists_ind
              @ ^ [X7: mu] :
                  ( mexists_ind
                  @ ^ [X8: mu] :
                      ( mexists_ind
                      @ ^ [X9: mu] :
                          ( mexists_ind
                          @ ^ [X10: mu] :
                              ( mexists_ind
                              @ ^ [X11: mu] :
                                  ( mexists_ind
                                  @ ^ [X12: mu] :
                                      ( mexists_ind
                                      @ ^ [X13: mu] :
                                          ( mexists_ind
                                          @ ^ [X15: mu] :
                                              ( mexists_ind
                                              @ ^ [X16: mu] : ( 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_ind
          @ ^ [X17: mu] :
              ( mexists_ind
              @ ^ [X18: mu] :
                  ( mexists_ind
                  @ ^ [X19: mu] :
                      ( mexists_ind
                      @ ^ [X20: mu] :
                          ( mexists_ind
                          @ ^ [X21: mu] :
                              ( mexists_ind
                              @ ^ [X22: mu] :
                                  ( mexists_ind
                                  @ ^ [X23: mu] :
                                      ( mexists_ind
                                      @ ^ [X24: mu] :
                                          ( mexists_ind
                                          @ ^ [X26: mu] :
                                              ( mexists_ind
                                              @ ^ [X27: mu] : ( 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_ind
          @ ^ [X28: mu] :
              ( mexists_ind
              @ ^ [X29: mu] :
                  ( mexists_ind
                  @ ^ [X30: mu] :
                      ( mexists_ind
                      @ ^ [X31: mu] :
                          ( mexists_ind
                          @ ^ [X32: mu] :
                              ( mexists_ind
                              @ ^ [X33: mu] :
                                  ( mexists_ind
                                  @ ^ [X34: mu] :
                                      ( mexists_ind
                                      @ ^ [X35: mu] :
                                          ( mexists_ind
                                          @ ^ [X37: mu] :
                                              ( mexists_ind
                                              @ ^ [X38: mu] : ( 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] :
      ~ ( ~ ( ~ ! [X66: mu] :
                  ( ( exists_in_world @ X66 @ X4 )
                 => ! [X68: mu] :
                      ( ( exists_in_world @ X68 @ X4 )
                     => ! [X70: mu] :
                          ( ( exists_in_world @ X70 @ X4 )
                         => ! [X72: mu] :
                              ( ( exists_in_world @ X72 @ X4 )
                             => ! [X74: mu] :
                                  ( ( exists_in_world @ X74 @ X4 )
                                 => ! [X76: mu] :
                                      ( ( exists_in_world @ X76 @ X4 )
                                     => ! [X78: mu] :
                                          ( ( exists_in_world @ X78 @ X4 )
                                         => ! [X80: mu] :
                                              ( ( exists_in_world @ X80 @ X4 )
                                             => ! [X82: mu] :
                                                  ( ( exists_in_world @ X82 @ X4 )
                                                 => ! [X84: mu] :
                                                      ( ( exists_in_world @ X84 @ X4 )
                                                     => ( ~ ( furniture @ X66 @ X4 )
                                                        | ~ ( seat @ X68 @ X4 )
                                                        | ~ ( front @ X68 @ X4 )
                                                        | ~ ( city @ X70 @ X4 )
                                                        | ~ ( street @ X74 @ X4 )
                                                        | ~ ( lonely @ X74 @ X4 )
                                                        | ~ ( car @ X76 @ X4 )
                                                        | ~ ( dirty @ X76 @ X4 )
                                                        | ~ ( barrel @ X72 @ X76 @ X4 )
                                                        | ~ ( in @ X72 @ X70 @ X4 )
                                                        | ~ ( fellow @ X78 @ X4 )
                                                        | ~ ( young @ X78 @ X4 )
                                                        | ~ ( man @ X80 @ X4 )
                                                        | ~ ( qmltpeq @ X78 @ X82 @ X4 )
                                                        | ~ ( qmltpeq @ X80 @ X84 @ X4 )
                                                        | ~ ( in @ X84 @ X68 @ X4 )
                                                        | ~ ( in @ X82 @ X66 @ X4 )
                                                        | ~ ( young @ X80 @ X4 )
                                                        | ~ ( fellow @ X80 @ X4 )
                                                        | ~ ( man @ X78 @ X4 )
                                                        | ( qmltpeq @ X78 @ X80 @ X4 )
                                                        | ~ ( down @ X72 @ X74 @ X4 )
                                                        | ~ ( old @ X76 @ X4 )
                                                        | ~ ( white @ X76 @ X4 )
                                                        | ~ ( chevy @ X76 @ X4 )
                                                        | ~ ( way @ X74 @ X4 )
                                                        | ~ ( event @ X72 @ X4 )
                                                        | ~ ( hollywood @ X70 @ X4 )
                                                        | ~ ( furniture @ X68 @ X4 )
                                                        | ~ ( front @ X66 @ X4 )
                                                        | ~ ( seat @ X66 @ X4 ) ) ) ) ) ) ) ) ) ) ) )
            | ! [X46: mu] :
                ( ( exists_in_world @ X46 @ X4 )
               => ! [X48: mu] :
                    ( ( exists_in_world @ X48 @ X4 )
                   => ! [X50: mu] :
                        ( ( exists_in_world @ X50 @ X4 )
                       => ! [X52: mu] :
                            ( ( exists_in_world @ X52 @ X4 )
                           => ! [X54: mu] :
                                ( ( exists_in_world @ X54 @ X4 )
                               => ! [X56: mu] :
                                    ( ( exists_in_world @ X56 @ X4 )
                                   => ! [X58: mu] :
                                        ( ( exists_in_world @ X58 @ X4 )
                                       => ! [X60: mu] :
                                            ( ( exists_in_world @ X60 @ X4 )
                                           => ! [X62: mu] :
                                                ( ( exists_in_world @ X62 @ X4 )
                                               => ! [X64: mu] :
                                                    ( ( exists_in_world @ X64 @ X4 )
                                                   => ( ~ ( furniture @ X46 @ X4 )
                                                      | ~ ( seat @ X48 @ X4 )
                                                      | ~ ( front @ X48 @ X4 )
                                                      | ~ ( city @ X50 @ X4 )
                                                      | ~ ( chevy @ X54 @ X4 )
                                                      | ~ ( white @ X54 @ X4 )
                                                      | ~ ( old @ X54 @ X4 )
                                                      | ~ ( way @ X56 @ X4 )
                                                      | ~ ( barrel @ X52 @ X54 @ X4 )
                                                      | ~ ( in @ X52 @ X50 @ X4 )
                                                      | ~ ( fellow @ X58 @ X4 )
                                                      | ~ ( young @ X58 @ X4 )
                                                      | ~ ( man @ X60 @ X4 )
                                                      | ~ ( qmltpeq @ X58 @ X62 @ X4 )
                                                      | ~ ( qmltpeq @ X60 @ X64 @ X4 )
                                                      | ~ ( in @ X64 @ X48 @ X4 )
                                                      | ~ ( in @ X62 @ X46 @ X4 )
                                                      | ~ ( young @ X60 @ X4 )
                                                      | ~ ( fellow @ X60 @ X4 )
                                                      | ~ ( man @ X58 @ X4 )
                                                      | ( qmltpeq @ X58 @ X60 @ X4 )
                                                      | ~ ( down @ X52 @ X56 @ X4 )
                                                      | ~ ( lonely @ X56 @ X4 )
                                                      | ~ ( street @ X56 @ X4 )
                                                      | ~ ( dirty @ X54 @ X4 )
                                                      | ~ ( car @ X54 @ X4 )
                                                      | ~ ( event @ X52 @ X4 )
                                                      | ~ ( hollywood @ X50 @ X4 )
                                                      | ~ ( furniture @ X48 @ X4 )
                                                      | ~ ( front @ X46 @ X4 )
                                                      | ~ ( seat @ X46 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) )
        | ~ ( ~ ! [X26: mu] :
                  ( ( exists_in_world @ X26 @ X4 )
                 => ! [X28: mu] :
                      ( ( exists_in_world @ X28 @ X4 )
                     => ! [X30: mu] :
                          ( ( exists_in_world @ X30 @ X4 )
                         => ! [X32: mu] :
                              ( ( exists_in_world @ X32 @ X4 )
                             => ! [X34: mu] :
                                  ( ( exists_in_world @ X34 @ X4 )
                                 => ! [X36: mu] :
                                      ( ( exists_in_world @ X36 @ X4 )
                                     => ! [X38: mu] :
                                          ( ( exists_in_world @ X38 @ X4 )
                                         => ! [X40: mu] :
                                              ( ( exists_in_world @ X40 @ X4 )
                                             => ! [X42: mu] :
                                                  ( ( exists_in_world @ X42 @ X4 )
                                                 => ! [X44: mu] :
                                                      ( ( exists_in_world @ X44 @ X4 )
                                                     => ( ~ ( furniture @ X26 @ X4 )
                                                        | ~ ( seat @ X28 @ X4 )
                                                        | ~ ( front @ X28 @ X4 )
                                                        | ~ ( city @ X30 @ X4 )
                                                        | ~ ( chevy @ X34 @ X4 )
                                                        | ~ ( white @ X34 @ X4 )
                                                        | ~ ( old @ X34 @ X4 )
                                                        | ~ ( way @ X36 @ X4 )
                                                        | ~ ( barrel @ X32 @ X34 @ X4 )
                                                        | ~ ( in @ X32 @ X30 @ X4 )
                                                        | ~ ( fellow @ X38 @ X4 )
                                                        | ~ ( young @ X38 @ X4 )
                                                        | ~ ( man @ X40 @ X4 )
                                                        | ~ ( qmltpeq @ X38 @ X42 @ X4 )
                                                        | ~ ( qmltpeq @ X40 @ X44 @ X4 )
                                                        | ~ ( in @ X44 @ X28 @ X4 )
                                                        | ~ ( in @ X42 @ X26 @ X4 )
                                                        | ~ ( young @ X40 @ X4 )
                                                        | ~ ( fellow @ X40 @ X4 )
                                                        | ~ ( man @ X38 @ X4 )
                                                        | ( qmltpeq @ X38 @ X40 @ X4 )
                                                        | ~ ( down @ X32 @ X36 @ X4 )
                                                        | ~ ( lonely @ X36 @ X4 )
                                                        | ~ ( street @ X36 @ X4 )
                                                        | ~ ( dirty @ X34 @ X4 )
                                                        | ~ ( car @ X34 @ X4 )
                                                        | ~ ( event @ X32 @ X4 )
                                                        | ~ ( hollywood @ X30 @ X4 )
                                                        | ~ ( furniture @ X28 @ X4 )
                                                        | ~ ( front @ X26 @ X4 )
                                                        | ~ ( seat @ X26 @ X4 ) ) ) ) ) ) ) ) ) ) ) )
            | ! [X6: mu] :
                ( ( exists_in_world @ X6 @ X4 )
               => ! [X8: mu] :
                    ( ( exists_in_world @ X8 @ X4 )
                   => ! [X10: mu] :
                        ( ( exists_in_world @ X10 @ X4 )
                       => ! [X12: mu] :
                            ( ( exists_in_world @ X12 @ X4 )
                           => ! [X14: mu] :
                                ( ( exists_in_world @ X14 @ X4 )
                               => ! [X16: mu] :
                                    ( ( exists_in_world @ X16 @ X4 )
                                   => ! [X18: mu] :
                                        ( ( exists_in_world @ X18 @ X4 )
                                       => ! [X20: mu] :
                                            ( ( exists_in_world @ X20 @ X4 )
                                           => ! [X22: mu] :
                                                ( ( exists_in_world @ X22 @ X4 )
                                               => ! [X24: mu] :
                                                    ( ( exists_in_world @ X24 @ X4 )
                                                   => ( ~ ( furniture @ X6 @ X4 )
                                                      | ~ ( seat @ X8 @ X4 )
                                                      | ~ ( front @ X8 @ X4 )
                                                      | ~ ( city @ X10 @ X4 )
                                                      | ~ ( street @ X14 @ X4 )
                                                      | ~ ( lonely @ X14 @ X4 )
                                                      | ~ ( car @ X16 @ X4 )
                                                      | ~ ( dirty @ X16 @ X4 )
                                                      | ~ ( barrel @ X12 @ X16 @ X4 )
                                                      | ~ ( in @ X12 @ X10 @ X4 )
                                                      | ~ ( fellow @ X18 @ X4 )
                                                      | ~ ( young @ X18 @ X4 )
                                                      | ~ ( man @ X20 @ X4 )
                                                      | ~ ( qmltpeq @ X18 @ X22 @ X4 )
                                                      | ~ ( qmltpeq @ X20 @ X24 @ X4 )
                                                      | ~ ( in @ X24 @ X8 @ X4 )
                                                      | ~ ( in @ X22 @ X6 @ X4 )
                                                      | ~ ( young @ X20 @ X4 )
                                                      | ~ ( fellow @ X20 @ X4 )
                                                      | ~ ( man @ X18 @ X4 )
                                                      | ( qmltpeq @ X18 @ X20 @ X4 )
                                                      | ~ ( down @ X12 @ X14 @ X4 )
                                                      | ~ ( old @ X16 @ X4 )
                                                      | ~ ( white @ X16 @ X4 )
                                                      | ~ ( chevy @ X16 @ X4 )
                                                      | ~ ( way @ X14 @ X4 )
                                                      | ~ ( event @ X12 @ X4 )
                                                      | ~ ( hollywood @ X10 @ X4 )
                                                      | ~ ( furniture @ X8 @ X4 )
                                                      | ~ ( front @ X6 @ X4 )
                                                      | ~ ( seat @ X6 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ~ ( ~ ( ~ ! [X66: mu] :
                    ( ( exists_in_world @ X66 @ X4 )
                   => ! [X68: mu] :
                        ( ( exists_in_world @ X68 @ X4 )
                       => ! [X70: mu] :
                            ( ( exists_in_world @ X70 @ X4 )
                           => ! [X72: mu] :
                                ( ( exists_in_world @ X72 @ X4 )
                               => ! [X74: mu] :
                                    ( ( exists_in_world @ X74 @ X4 )
                                   => ! [X76: mu] :
                                        ( ( exists_in_world @ X76 @ X4 )
                                       => ! [X78: mu] :
                                            ( ( exists_in_world @ X78 @ X4 )
                                           => ! [X80: mu] :
                                                ( ( exists_in_world @ X80 @ X4 )
                                               => ! [X82: mu] :
                                                    ( ( exists_in_world @ X82 @ X4 )
                                                   => ! [X84: mu] :
                                                        ( ( exists_in_world @ X84 @ X4 )
                                                       => ( ~ ( furniture @ X66 @ X4 )
                                                          | ~ ( seat @ X68 @ X4 )
                                                          | ~ ( front @ X68 @ X4 )
                                                          | ~ ( city @ X70 @ X4 )
                                                          | ~ ( street @ X74 @ X4 )
                                                          | ~ ( lonely @ X74 @ X4 )
                                                          | ~ ( car @ X76 @ X4 )
                                                          | ~ ( dirty @ X76 @ X4 )
                                                          | ~ ( barrel @ X72 @ X76 @ X4 )
                                                          | ~ ( in @ X72 @ X70 @ X4 )
                                                          | ~ ( fellow @ X78 @ X4 )
                                                          | ~ ( young @ X78 @ X4 )
                                                          | ~ ( man @ X80 @ X4 )
                                                          | ~ ( qmltpeq @ X78 @ X82 @ X4 )
                                                          | ~ ( qmltpeq @ X80 @ X84 @ X4 )
                                                          | ~ ( in @ X84 @ X68 @ X4 )
                                                          | ~ ( in @ X82 @ X66 @ X4 )
                                                          | ~ ( young @ X80 @ X4 )
                                                          | ~ ( fellow @ X80 @ X4 )
                                                          | ~ ( man @ X78 @ X4 )
                                                          | ( qmltpeq @ X78 @ X80 @ X4 )
                                                          | ~ ( down @ X72 @ X74 @ X4 )
                                                          | ~ ( old @ X76 @ X4 )
                                                          | ~ ( white @ X76 @ X4 )
                                                          | ~ ( chevy @ X76 @ X4 )
                                                          | ~ ( way @ X74 @ X4 )
                                                          | ~ ( event @ X72 @ X4 )
                                                          | ~ ( hollywood @ X70 @ X4 )
                                                          | ~ ( furniture @ X68 @ X4 )
                                                          | ~ ( front @ X66 @ X4 )
                                                          | ~ ( seat @ X66 @ X4 ) ) ) ) ) ) ) ) ) ) ) )
              | ! [X46: mu] :
                  ( ( exists_in_world @ X46 @ X4 )
                 => ! [X48: mu] :
                      ( ( exists_in_world @ X48 @ X4 )
                     => ! [X50: mu] :
                          ( ( exists_in_world @ X50 @ X4 )
                         => ! [X52: mu] :
                              ( ( exists_in_world @ X52 @ X4 )
                             => ! [X54: mu] :
                                  ( ( exists_in_world @ X54 @ X4 )
                                 => ! [X56: mu] :
                                      ( ( exists_in_world @ X56 @ X4 )
                                     => ! [X58: mu] :
                                          ( ( exists_in_world @ X58 @ X4 )
                                         => ! [X60: mu] :
                                              ( ( exists_in_world @ X60 @ X4 )
                                             => ! [X62: mu] :
                                                  ( ( exists_in_world @ X62 @ X4 )
                                                 => ! [X64: mu] :
                                                      ( ( exists_in_world @ X64 @ X4 )
                                                     => ( ~ ( furniture @ X46 @ X4 )
                                                        | ~ ( seat @ X48 @ X4 )
                                                        | ~ ( front @ X48 @ X4 )
                                                        | ~ ( city @ X50 @ X4 )
                                                        | ~ ( chevy @ X54 @ X4 )
                                                        | ~ ( white @ X54 @ X4 )
                                                        | ~ ( old @ X54 @ X4 )
                                                        | ~ ( way @ X56 @ X4 )
                                                        | ~ ( barrel @ X52 @ X54 @ X4 )
                                                        | ~ ( in @ X52 @ X50 @ X4 )
                                                        | ~ ( fellow @ X58 @ X4 )
                                                        | ~ ( young @ X58 @ X4 )
                                                        | ~ ( man @ X60 @ X4 )
                                                        | ~ ( qmltpeq @ X58 @ X62 @ X4 )
                                                        | ~ ( qmltpeq @ X60 @ X64 @ X4 )
                                                        | ~ ( in @ X64 @ X48 @ X4 )
                                                        | ~ ( in @ X62 @ X46 @ X4 )
                                                        | ~ ( young @ X60 @ X4 )
                                                        | ~ ( fellow @ X60 @ X4 )
                                                        | ~ ( man @ X58 @ X4 )
                                                        | ( qmltpeq @ X58 @ X60 @ X4 )
                                                        | ~ ( down @ X52 @ X56 @ X4 )
                                                        | ~ ( lonely @ X56 @ X4 )
                                                        | ~ ( street @ X56 @ X4 )
                                                        | ~ ( dirty @ X54 @ X4 )
                                                        | ~ ( car @ X54 @ X4 )
                                                        | ~ ( event @ X52 @ X4 )
                                                        | ~ ( hollywood @ X50 @ X4 )
                                                        | ~ ( furniture @ X48 @ X4 )
                                                        | ~ ( front @ X46 @ X4 )
                                                        | ~ ( seat @ X46 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ( ~ ! [X26: mu] :
                    ( ( exists_in_world @ X26 @ X4 )
                   => ! [X28: mu] :
                        ( ( exists_in_world @ X28 @ X4 )
                       => ! [X30: mu] :
                            ( ( exists_in_world @ X30 @ X4 )
                           => ! [X32: mu] :
                                ( ( exists_in_world @ X32 @ X4 )
                               => ! [X34: mu] :
                                    ( ( exists_in_world @ X34 @ X4 )
                                   => ! [X36: mu] :
                                        ( ( exists_in_world @ X36 @ X4 )
                                       => ! [X38: mu] :
                                            ( ( exists_in_world @ X38 @ X4 )
                                           => ! [X40: mu] :
                                                ( ( exists_in_world @ X40 @ X4 )
                                               => ! [X42: mu] :
                                                    ( ( exists_in_world @ X42 @ X4 )
                                                   => ! [X44: mu] :
                                                        ( ( exists_in_world @ X44 @ X4 )
                                                       => ( ~ ( furniture @ X26 @ X4 )
                                                          | ~ ( seat @ X28 @ X4 )
                                                          | ~ ( front @ X28 @ X4 )
                                                          | ~ ( city @ X30 @ X4 )
                                                          | ~ ( chevy @ X34 @ X4 )
                                                          | ~ ( white @ X34 @ X4 )
                                                          | ~ ( old @ X34 @ X4 )
                                                          | ~ ( way @ X36 @ X4 )
                                                          | ~ ( barrel @ X32 @ X34 @ X4 )
                                                          | ~ ( in @ X32 @ X30 @ X4 )
                                                          | ~ ( fellow @ X38 @ X4 )
                                                          | ~ ( young @ X38 @ X4 )
                                                          | ~ ( man @ X40 @ X4 )
                                                          | ~ ( qmltpeq @ X38 @ X42 @ X4 )
                                                          | ~ ( qmltpeq @ X40 @ X44 @ X4 )
                                                          | ~ ( in @ X44 @ X28 @ X4 )
                                                          | ~ ( in @ X42 @ X26 @ X4 )
                                                          | ~ ( young @ X40 @ X4 )
                                                          | ~ ( fellow @ X40 @ X4 )
                                                          | ~ ( man @ X38 @ X4 )
                                                          | ( qmltpeq @ X38 @ X40 @ X4 )
                                                          | ~ ( down @ X32 @ X36 @ X4 )
                                                          | ~ ( lonely @ X36 @ X4 )
                                                          | ~ ( street @ X36 @ X4 )
                                                          | ~ ( dirty @ X34 @ X4 )
                                                          | ~ ( car @ X34 @ X4 )
                                                          | ~ ( event @ X32 @ X4 )
                                                          | ~ ( hollywood @ X30 @ X4 )
                                                          | ~ ( furniture @ X28 @ X4 )
                                                          | ~ ( front @ X26 @ X4 )
                                                          | ~ ( seat @ X26 @ X4 ) ) ) ) ) ) ) ) ) ) ) )
              | ! [X6: mu] :
                  ( ( exists_in_world @ X6 @ X4 )
                 => ! [X8: mu] :
                      ( ( exists_in_world @ X8 @ X4 )
                     => ! [X10: mu] :
                          ( ( exists_in_world @ X10 @ X4 )
                         => ! [X12: mu] :
                              ( ( exists_in_world @ X12 @ X4 )
                             => ! [X14: mu] :
                                  ( ( exists_in_world @ X14 @ X4 )
                                 => ! [X16: mu] :
                                      ( ( exists_in_world @ X16 @ X4 )
                                     => ! [X18: mu] :
                                          ( ( exists_in_world @ X18 @ X4 )
                                         => ! [X20: mu] :
                                              ( ( exists_in_world @ X20 @ X4 )
                                             => ! [X22: mu] :
                                                  ( ( exists_in_world @ X22 @ X4 )
                                                 => ! [X24: mu] :
                                                      ( ( exists_in_world @ X24 @ X4 )
                                                     => ( ~ ( furniture @ X6 @ X4 )
                                                        | ~ ( seat @ X8 @ X4 )
                                                        | ~ ( front @ X8 @ X4 )
                                                        | ~ ( city @ X10 @ X4 )
                                                        | ~ ( street @ X14 @ X4 )
                                                        | ~ ( lonely @ X14 @ X4 )
                                                        | ~ ( car @ X16 @ X4 )
                                                        | ~ ( dirty @ X16 @ X4 )
                                                        | ~ ( barrel @ X12 @ X16 @ X4 )
                                                        | ~ ( in @ X12 @ X10 @ X4 )
                                                        | ~ ( fellow @ X18 @ X4 )
                                                        | ~ ( young @ X18 @ X4 )
                                                        | ~ ( man @ X20 @ X4 )
                                                        | ~ ( qmltpeq @ X18 @ X22 @ X4 )
                                                        | ~ ( qmltpeq @ X20 @ X24 @ X4 )
                                                        | ~ ( in @ X24 @ X8 @ X4 )
                                                        | ~ ( in @ X22 @ X6 @ X4 )
                                                        | ~ ( young @ X20 @ X4 )
                                                        | ~ ( fellow @ X20 @ X4 )
                                                        | ~ ( man @ X18 @ X4 )
                                                        | ( qmltpeq @ X18 @ X20 @ X4 )
                                                        | ~ ( down @ X12 @ X14 @ X4 )
                                                        | ~ ( old @ X16 @ X4 )
                                                        | ~ ( white @ X16 @ X4 )
                                                        | ~ ( chevy @ X16 @ X4 )
                                                        | ~ ( way @ X14 @ X4 )
                                                        | ~ ( event @ X12 @ X4 )
                                                        | ~ ( hollywood @ X10 @ X4 )
                                                        | ~ ( furniture @ X8 @ X4 )
                                                        | ~ ( front @ X6 @ X4 )
                                                        | ~ ( seat @ X6 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( (~)
          @ ( ( (~)
              @ ( ( (~)
                  @ ( !!
                    @ ^ [Y1: mu] :
                        ( ( exists_in_world @ Y1 @ Y0 )
                       => ( !!
                          @ ^ [Y2: mu] :
                              ( ( exists_in_world @ Y2 @ Y0 )
                             => ( !!
                                @ ^ [Y3: mu] :
                                    ( ( exists_in_world @ Y3 @ Y0 )
                                   => ( !!
                                      @ ^ [Y4: mu] :
                                          ( ( exists_in_world @ Y4 @ Y0 )
                                         => ( !!
                                            @ ^ [Y5: mu] :
                                                ( ( exists_in_world @ Y5 @ Y0 )
                                               => ( !!
                                                  @ ^ [Y6: mu] :
                                                      ( ( exists_in_world @ Y6 @ Y0 )
                                                     => ( !!
                                                        @ ^ [Y7: mu] :
                                                            ( ( exists_in_world @ Y7 @ Y0 )
                                                           => ( !!
                                                              @ ^ [Y8: mu] :
                                                                  ( ( exists_in_world @ Y8 @ Y0 )
                                                                 => ( !!
                                                                    @ ^ [Y9: mu] :
                                                                        ( ( exists_in_world @ Y9 @ Y0 )
                                                                       => ( !!
                                                                          @ ^ [Y10: mu] :
                                                                              ( ( exists_in_world @ Y10 @ Y0 )
                                                                             => ( ( (~) @ ( furniture @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( seat @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( front @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( city @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( street @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( lonely @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( car @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( dirty @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( barrel @ Y4 @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y4 @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( fellow @ Y7 @ Y0 ) )
                                                                                | ( (~) @ ( young @ Y7 @ Y0 ) )
                                                                                | ( (~) @ ( man @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ Y0 ) )
                                                                                | ( (~) @ ( qmltpeq @ Y8 @ Y10 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y10 @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y9 @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( young @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( fellow @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( man @ Y7 @ Y0 ) )
                                                                                | ( qmltpeq @ Y7 @ Y8 @ Y0 )
                                                                                | ( (~) @ ( down @ Y4 @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( old @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( white @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( chevy @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( way @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( event @ Y4 @ Y0 ) )
                                                                                | ( (~) @ ( hollywood @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( furniture @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( front @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( seat @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ Y0 )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ Y0 )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ Y0 )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ Y0 )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ Y0 )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ Y0 )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ Y0 )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ Y0 )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ Y0 )
                                                                     => ( !!
                                                                        @ ^ [Y10: mu] :
                                                                            ( ( exists_in_world @ Y10 @ Y0 )
                                                                           => ( ( (~) @ ( furniture @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( seat @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( front @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( city @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( chevy @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( white @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( old @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( way @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( barrel @ Y4 @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y4 @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( fellow @ Y7 @ Y0 ) )
                                                                              | ( (~) @ ( young @ Y7 @ Y0 ) )
                                                                              | ( (~) @ ( man @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ Y0 ) )
                                                                              | ( (~) @ ( qmltpeq @ Y8 @ Y10 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y10 @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y9 @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( young @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( fellow @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( man @ Y7 @ Y0 ) )
                                                                              | ( qmltpeq @ Y7 @ Y8 @ Y0 )
                                                                              | ( (~) @ ( down @ Y4 @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( lonely @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( street @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( dirty @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( car @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( event @ Y4 @ Y0 ) )
                                                                              | ( (~) @ ( hollywood @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( furniture @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( front @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( seat @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ( (~)
              @ ( ( (~)
                  @ ( !!
                    @ ^ [Y1: mu] :
                        ( ( exists_in_world @ Y1 @ Y0 )
                       => ( !!
                          @ ^ [Y2: mu] :
                              ( ( exists_in_world @ Y2 @ Y0 )
                             => ( !!
                                @ ^ [Y3: mu] :
                                    ( ( exists_in_world @ Y3 @ Y0 )
                                   => ( !!
                                      @ ^ [Y4: mu] :
                                          ( ( exists_in_world @ Y4 @ Y0 )
                                         => ( !!
                                            @ ^ [Y5: mu] :
                                                ( ( exists_in_world @ Y5 @ Y0 )
                                               => ( !!
                                                  @ ^ [Y6: mu] :
                                                      ( ( exists_in_world @ Y6 @ Y0 )
                                                     => ( !!
                                                        @ ^ [Y7: mu] :
                                                            ( ( exists_in_world @ Y7 @ Y0 )
                                                           => ( !!
                                                              @ ^ [Y8: mu] :
                                                                  ( ( exists_in_world @ Y8 @ Y0 )
                                                                 => ( !!
                                                                    @ ^ [Y9: mu] :
                                                                        ( ( exists_in_world @ Y9 @ Y0 )
                                                                       => ( !!
                                                                          @ ^ [Y10: mu] :
                                                                              ( ( exists_in_world @ Y10 @ Y0 )
                                                                             => ( ( (~) @ ( furniture @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( seat @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( front @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( city @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( chevy @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( white @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( old @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( way @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( barrel @ Y4 @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y4 @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( fellow @ Y7 @ Y0 ) )
                                                                                | ( (~) @ ( young @ Y7 @ Y0 ) )
                                                                                | ( (~) @ ( man @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ Y0 ) )
                                                                                | ( (~) @ ( qmltpeq @ Y8 @ Y10 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y10 @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( in @ Y9 @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( young @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( fellow @ Y8 @ Y0 ) )
                                                                                | ( (~) @ ( man @ Y7 @ Y0 ) )
                                                                                | ( qmltpeq @ Y7 @ Y8 @ Y0 )
                                                                                | ( (~) @ ( down @ Y4 @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( lonely @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( street @ Y6 @ Y0 ) )
                                                                                | ( (~) @ ( dirty @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( car @ Y5 @ Y0 ) )
                                                                                | ( (~) @ ( event @ Y4 @ Y0 ) )
                                                                                | ( (~) @ ( hollywood @ Y3 @ Y0 ) )
                                                                                | ( (~) @ ( furniture @ Y2 @ Y0 ) )
                                                                                | ( (~) @ ( front @ Y1 @ Y0 ) )
                                                                                | ( (~) @ ( seat @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ Y0 )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ Y0 )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ Y0 )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ Y0 )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ Y0 )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ Y0 )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ Y0 )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ Y0 )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ Y0 )
                                                                     => ( !!
                                                                        @ ^ [Y10: mu] :
                                                                            ( ( exists_in_world @ Y10 @ Y0 )
                                                                           => ( ( (~) @ ( furniture @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( seat @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( front @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( city @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( street @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( lonely @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( car @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( dirty @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( barrel @ Y4 @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y4 @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( fellow @ Y7 @ Y0 ) )
                                                                              | ( (~) @ ( young @ Y7 @ Y0 ) )
                                                                              | ( (~) @ ( man @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ Y0 ) )
                                                                              | ( (~) @ ( qmltpeq @ Y8 @ Y10 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y10 @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( in @ Y9 @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( young @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( fellow @ Y8 @ Y0 ) )
                                                                              | ( (~) @ ( man @ Y7 @ Y0 ) )
                                                                              | ( qmltpeq @ Y7 @ Y8 @ Y0 )
                                                                              | ( (~) @ ( down @ Y4 @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( old @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( white @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( chevy @ Y6 @ Y0 ) )
                                                                              | ( (~) @ ( way @ Y5 @ Y0 ) )
                                                                              | ( (~) @ ( event @ Y4 @ Y0 ) )
                                                                              | ( (~) @ ( hollywood @ Y3 @ Y0 ) )
                                                                              | ( (~) @ ( furniture @ Y2 @ Y0 ) )
                                                                              | ( (~) @ ( front @ Y1 @ Y0 ) )
                                                                              | ( (~) @ ( seat @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl31,plain,
    ( ( (~)
      @ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( (~)
      @ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~) @ $true )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl41,plain,
    ( '#form2'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( ( exists_in_world @ '#sk3' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ '#sk3' @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( barrel @ Y2 @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y7 @ '#sk3' @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                              | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                              | ( (~) @ ( down @ Y2 @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                              | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( ( exists_in_world @ '#sk5' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                                          | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                                          | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y7 @ '#sk5' @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y6 @ '#sk3' @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                          | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                          | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                          | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                                          | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                                        | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                                        | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y7 @ '#sk5' @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y6 @ '#sk3' @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                        | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                        | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                        | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                                        | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl64,plain,
    ( ~ ( ( exists_in_world @ '#sk7' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                                    | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                                    | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                                    | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y0 @ '#sk7' @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y6 @ '#sk5' @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y5 @ '#sk3' @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                    | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                    | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                    | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                                    | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                                    | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl69,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                                  | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                                  | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                                  | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y0 @ '#sk7' @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y6 @ '#sk5' @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y5 @ '#sk3' @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                  | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                  | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                  | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                                  | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                                  | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl74,plain,
    ( ~ ( ( exists_in_world @ '#sk9' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                              | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                              | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                              | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                              | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( barrel @ '#sk9' @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y5 @ '#sk5' @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y4 @ '#sk3' @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                              | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                              | ( (~) @ ( down @ '#sk9' @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                              | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                              | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                              | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                              | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl79,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                            | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                            | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                            | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                            | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( barrel @ '#sk9' @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y5 @ '#sk5' @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y4 @ '#sk3' @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                            | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                            | ( (~) @ ( down @ '#sk9' @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                            | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                            | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                            | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                            | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl84,plain,
    ( ~ ( ( exists_in_world @ '#sk11' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                        | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                        | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                        | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                        | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y4 @ '#sk5' @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y3 @ '#sk3' @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                        | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                        | ( (~) @ ( down @ '#sk9' @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                                        | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                        | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                        | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                        | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                        | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                      | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                      | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                      | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                      | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y4 @ '#sk5' @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y3 @ '#sk3' @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                      | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                      | ( (~) @ ( down @ '#sk9' @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                                      | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                      | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                      | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                      | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                      | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl94,plain,
    ( ~ ( ( exists_in_world @ '#sk13' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                  | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                  | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                  | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y3 @ '#sk5' @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y2 @ '#sk3' @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                  | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                  | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                                  | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                                  | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                  | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                  | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                  | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl99,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                                | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                                | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                                | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                                | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                                | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y3 @ '#sk5' @ '#sk1' ) )
                                | ( (~) @ ( in @ Y2 @ '#sk3' @ '#sk1' ) )
                                | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                                | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                                | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                                | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                                | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                                | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                                | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                                | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl104,plain,
    ( ~ ( ( exists_in_world @ '#sk15' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                            | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                            | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                            | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                            | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                            | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                            | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
                            | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
                            | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ '#sk15' @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y2 @ '#sk5' @ '#sk1' ) )
                            | ( (~) @ ( in @ Y1 @ '#sk3' @ '#sk1' ) )
                            | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
                            | ( qmltpeq @ '#sk15' @ Y0 @ '#sk1' )
                            | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                            | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                            | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                            | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                            | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                            | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                            | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                            | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl109,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                          | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                          | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                          | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                          | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                          | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                          | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
                          | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
                          | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ '#sk15' @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y2 @ '#sk5' @ '#sk1' ) )
                          | ( (~) @ ( in @ Y1 @ '#sk3' @ '#sk1' ) )
                          | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
                          | ( qmltpeq @ '#sk15' @ Y0 @ '#sk1' )
                          | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                          | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                          | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                          | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                          | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                          | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                          | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                          | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl114,plain,
    ( ~ ( ( exists_in_world @ '#sk17' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                      | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                      | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                      | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                      | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                      | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                      | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
                      | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
                      | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ '#sk15' @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ '#sk17' @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y1 @ '#sk5' @ '#sk1' ) )
                      | ( (~) @ ( in @ Y0 @ '#sk3' @ '#sk1' ) )
                      | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
                      | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
                      | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
                      | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
                      | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                      | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                      | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                      | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                      | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                      | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                      | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                      | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl119,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                    | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                    | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                    | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                    | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                    | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                    | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
                    | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
                    | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ '#sk15' @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ '#sk17' @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y1 @ '#sk5' @ '#sk1' ) )
                    | ( (~) @ ( in @ Y0 @ '#sk3' @ '#sk1' ) )
                    | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
                    | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
                    | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
                    | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
                    | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                    | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                    | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                    | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                    | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                    | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                    | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                    | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl124,plain,
    ( ~ ( ( exists_in_world @ '#sk19' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
                | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
                | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
                | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
                | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
                | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
                | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ '#sk15' @ '#sk19' @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ '#sk17' @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ Y0 @ '#sk5' @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk19' @ '#sk3' @ '#sk1' ) )
                | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
                | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
                | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
                | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
                | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
                | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
                | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
                | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
                | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
                | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
                | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
                | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
              | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
              | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
              | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
              | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
              | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
              | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ '#sk15' @ '#sk19' @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ '#sk17' @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ Y0 @ '#sk5' @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk19' @ '#sk3' @ '#sk1' ) )
              | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
              | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
              | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
              | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
              | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
              | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
              | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
              | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
              | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
              | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
              | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
              | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl134,plain,
    ( ~ ( ( exists_in_world @ '#sk21' @ '#sk1' )
       => ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
          | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
          | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
          | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
          | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
          | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
          | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ '#sk15' @ '#sk19' @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ '#sk17' @ '#sk21' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk21' @ '#sk5' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk19' @ '#sk3' @ '#sk1' ) )
          | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
          | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
          | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
          | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
          | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
          | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
          | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
          | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
          | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
          | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
          | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
          | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl139,plain,
    ( ~ ( ( (~) @ ( furniture @ '#sk3' @ '#sk1' ) )
        | ( (~) @ ( seat @ '#sk5' @ '#sk1' ) )
        | ( (~) @ ( front @ '#sk5' @ '#sk1' ) )
        | ( (~) @ ( city @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( chevy @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( white @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( old @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( way @ '#sk13' @ '#sk1' ) )
        | ( (~) @ ( barrel @ '#sk9' @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk9' @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( fellow @ '#sk15' @ '#sk1' ) )
        | ( (~) @ ( young @ '#sk15' @ '#sk1' ) )
        | ( (~) @ ( man @ '#sk17' @ '#sk1' ) )
        | ( (~) @ ( qmltpeq @ '#sk15' @ '#sk19' @ '#sk1' ) )
        | ( (~) @ ( qmltpeq @ '#sk17' @ '#sk21' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk21' @ '#sk5' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk19' @ '#sk3' @ '#sk1' ) )
        | ( (~) @ ( young @ '#sk17' @ '#sk1' ) )
        | ( (~) @ ( fellow @ '#sk17' @ '#sk1' ) )
        | ( (~) @ ( man @ '#sk15' @ '#sk1' ) )
        | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
        | ( (~) @ ( down @ '#sk9' @ '#sk13' @ '#sk1' ) )
        | ( (~) @ ( lonely @ '#sk13' @ '#sk1' ) )
        | ( (~) @ ( street @ '#sk13' @ '#sk1' ) )
        | ( (~) @ ( dirty @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( car @ '#sk11' @ '#sk1' ) )
        | ( (~) @ ( event @ '#sk9' @ '#sk1' ) )
        | ( (~) @ ( hollywood @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( furniture @ '#sk5' @ '#sk1' ) )
        | ( (~) @ ( front @ '#sk3' @ '#sk1' ) )
        | ( (~) @ ( seat @ '#sk3' @ '#sk1' ) ) )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl160,plain,
    ( ( in @ '#sk19' @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl157,plain,
    ( ( qmltpeq @ '#sk15' @ '#sk19' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(symmetry,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] :
          ( mforall_ind
          @ ^ [Y: mu] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i,X6: mu] :
      ( ( exists_in_world @ X6 @ X4 )
     => ! [X8: mu] :
          ( ( exists_in_world @ X8 @ X4 )
         => ( ( qmltpeq @ X8 @ X6 @ X4 )
            | ~ ( qmltpeq @ X6 @ X8 @ X4 ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: mu] :
            ( ( exists_in_world @ Y1 @ Y0 )
           => ( !!
              @ ^ [Y2: mu] :
                  ( ( exists_in_world @ Y2 @ Y0 )
                 => ( ( qmltpeq @ Y2 @ Y1 @ Y0 )
                    | ( (~) @ ( qmltpeq @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl237,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ X2 )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ X2 )
               => ( ( qmltpeq @ Y1 @ Y0 @ X2 )
                  | ( (~) @ ( qmltpeq @ Y0 @ Y1 @ X2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl238,plain,
    ! [X2: $i,X4: mu] :
      ( ( exists_in_world @ X4 @ X2 )
     => ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ X2 )
           => ( ( qmltpeq @ Y0 @ X4 @ X2 )
              | ( (~) @ ( qmltpeq @ X4 @ Y0 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl237]) ).

thf(zip_derived_cl239,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ X2 )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ X2 )
           => ( ( qmltpeq @ Y0 @ X4 @ X2 )
              | ( (~) @ ( qmltpeq @ X4 @ Y0 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl238]) ).

thf(zip_derived_cl240,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ( ( exists_in_world @ X6 @ X2 )
       => ( ( qmltpeq @ X6 @ X4 @ X2 )
          | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) ) ) )
      | ~ ( exists_in_world @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl239]) ).

thf(zip_derived_cl241,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ~ ( exists_in_world @ X6 @ X2 )
      | ( qmltpeq @ X6 @ X4 @ X2 )
      | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) )
      | ~ ( exists_in_world @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl240]) ).

thf(zip_derived_cl242,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ( qmltpeq @ X6 @ X4 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl928,plain,
    ( '#form2'
    | ~ ( exists_in_world @ '#sk19' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
    | ( qmltpeq @ '#sk19' @ '#sk15' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl242]) ).

thf(zip_derived_cl128,plain,
    ( ( exists_in_world @ '#sk19' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl951,plain,
    ( ( qmltpeq @ '#sk19' @ '#sk15' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl928,zip_derived_cl128]) ).

thf(zip_derived_cl108,plain,
    ( ( exists_in_world @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl952,plain,
    ( '#form2'
    | ( qmltpeq @ '#sk19' @ '#sk15' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl951,zip_derived_cl108]) ).

thf(in_substitution_1,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [A: mu] :
          ( mforall_ind
          @ ^ [B: mu] :
              ( mforall_ind
              @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [X4: $i,X6: mu] :
      ( ( exists_in_world @ X6 @ X4 )
     => ! [X8: mu] :
          ( ( exists_in_world @ X8 @ X4 )
         => ! [X10: mu] :
              ( ( exists_in_world @ X10 @ X4 )
             => ( ( in @ X8 @ X10 @ X4 )
                | ~ ( qmltpeq @ X6 @ X8 @ X4 )
                | ~ ( in @ X6 @ X10 @ X4 ) ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: mu] :
            ( ( exists_in_world @ Y1 @ Y0 )
           => ( !!
              @ ^ [Y2: mu] :
                  ( ( exists_in_world @ Y2 @ Y0 )
                 => ( !!
                    @ ^ [Y3: mu] :
                        ( ( exists_in_world @ Y3 @ Y0 )
                       => ( ( in @ Y2 @ Y3 @ Y0 )
                          | ( (~) @ ( qmltpeq @ Y1 @ Y2 @ Y0 ) )
                          | ( (~) @ ( in @ Y1 @ Y3 @ Y0 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl751,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ X2 )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ X2 )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ X2 )
                     => ( ( in @ Y1 @ Y2 @ X2 )
                        | ( (~) @ ( qmltpeq @ Y0 @ Y1 @ X2 ) )
                        | ( (~) @ ( in @ Y0 @ Y2 @ X2 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl752,plain,
    ! [X2: $i,X4: mu] :
      ( ( exists_in_world @ X4 @ X2 )
     => ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ X2 )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ X2 )
                 => ( ( in @ Y0 @ Y1 @ X2 )
                    | ( (~) @ ( qmltpeq @ X4 @ Y0 @ X2 ) )
                    | ( (~) @ ( in @ X4 @ Y1 @ X2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl751]) ).

thf(zip_derived_cl753,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ X2 )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ X2 )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ X2 )
                 => ( ( in @ Y0 @ Y1 @ X2 )
                    | ( (~) @ ( qmltpeq @ X4 @ Y0 @ X2 ) )
                    | ( (~) @ ( in @ X4 @ Y1 @ X2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl752]) ).

thf(zip_derived_cl754,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ( ( exists_in_world @ X6 @ X2 )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ X2 )
             => ( ( in @ X6 @ Y0 @ X2 )
                | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) )
                | ( (~) @ ( in @ X4 @ Y0 @ X2 ) ) ) ) ) )
      | ~ ( exists_in_world @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl753]) ).

thf(zip_derived_cl755,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ~ ( exists_in_world @ X6 @ X2 )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ X2 )
           => ( ( in @ X6 @ Y0 @ X2 )
              | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) )
              | ( (~) @ ( in @ X4 @ Y0 @ X2 ) ) ) ) )
      | ~ ( exists_in_world @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl754]) ).

thf(zip_derived_cl756,plain,
    ! [X2: $i,X4: mu,X6: mu,X8: mu] :
      ( ( ( exists_in_world @ X8 @ X2 )
       => ( ( in @ X6 @ X8 @ X2 )
          | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) )
          | ( (~) @ ( in @ X4 @ X8 @ X2 ) ) ) )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl755]) ).

thf(zip_derived_cl757,plain,
    ! [X2: $i,X4: mu,X6: mu,X8: mu] :
      ( ~ ( exists_in_world @ X8 @ X2 )
      | ( in @ X6 @ X8 @ X2 )
      | ( (~) @ ( qmltpeq @ X4 @ X6 @ X2 ) )
      | ( (~) @ ( in @ X4 @ X8 @ X2 ) )
      | ~ ( exists_in_world @ X6 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl756]) ).

thf(zip_derived_cl758,plain,
    ! [X2: $i,X4: mu,X6: mu,X8: mu] :
      ( ( in @ X6 @ X8 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( in @ X4 @ X8 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 )
      | ~ ( exists_in_world @ X8 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl757]) ).

thf(zip_derived_cl970,plain,
    ! [X0: mu] :
      ( '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk19' @ '#sk1' )
      | ~ ( in @ '#sk19' @ X0 @ '#sk1' )
      | ( in @ '#sk15' @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl758]) ).

thf(zip_derived_cl108_001,plain,
    ( ( exists_in_world @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl3707,plain,
    ! [X0: mu] :
      ( ( in @ '#sk15' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk19' @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk19' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl970,zip_derived_cl108]) ).

thf(zip_derived_cl128_002,plain,
    ( ( exists_in_world @ '#sk19' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl3708,plain,
    ! [X0: mu] :
      ( '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( in @ '#sk19' @ X0 @ '#sk1' )
      | ( in @ '#sk15' @ X0 @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3707,zip_derived_cl128]) ).

thf(zip_derived_cl3709,plain,
    ( '#form2'
    | ( in @ '#sk15' @ '#sk3' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl3708]) ).

thf(zip_derived_cl3710,plain,
    ( ~ ( exists_in_world @ '#sk3' @ '#sk1' )
    | ( in @ '#sk15' @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl3709]) ).

thf(zip_derived_cl48,plain,
    ( ( exists_in_world @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl3711,plain,
    ( '#form2'
    | ( in @ '#sk15' @ '#sk3' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3710,zip_derived_cl48]) ).

thf(zip_derived_cl40_003,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl41_004,plain,
    ( '#form2'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl43,plain,
    ( ~ '#form2'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl40,zip_derived_cl41]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( ( exists_in_world @ '#sk4' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ '#sk4' @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl53,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y7 @ '#sk4' @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                              | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                              | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                              | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( ( exists_in_world @ '#sk6' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                                          | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                                          | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y7 @ '#sk6' @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y6 @ '#sk4' @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                          | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                          | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                          | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                                          | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl62,plain,
    ( ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl52,plain,
    ( ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                                        | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                                        | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y7 @ '#sk6' @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y6 @ '#sk4' @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                        | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                        | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                        | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                                        | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( ( exists_in_world @ '#sk8' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                                    | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                                    | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                                    | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y0 @ '#sk8' @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y6 @ '#sk6' @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y5 @ '#sk4' @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                    | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                    | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                    | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                                    | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                                    | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl73,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                                  | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                                  | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                                  | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y0 @ '#sk8' @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y6 @ '#sk6' @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y5 @ '#sk4' @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                  | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                  | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                  | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                                  | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                                  | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl77,plain,
    ( ~ ( ( exists_in_world @ '#sk10' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                              | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                              | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                              | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                              | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( barrel @ '#sk10' @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y5 @ '#sk6' @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y4 @ '#sk4' @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                              | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                              | ( (~) @ ( down @ '#sk10' @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                              | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                              | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                              | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                              | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl83,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                            | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                            | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                            | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                            | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( barrel @ '#sk10' @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y5 @ '#sk6' @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y4 @ '#sk4' @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                            | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                            | ( (~) @ ( down @ '#sk10' @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                            | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                            | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                            | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                            | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl87,plain,
    ( ~ ( ( exists_in_world @ '#sk12' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                        | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                        | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                        | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                        | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                                        | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                                        | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( barrel @ '#sk10' @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y4 @ '#sk6' @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y3 @ '#sk4' @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                        | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                        | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                                        | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                                        | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                        | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                        | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                        | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                        | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl93,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                      | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                      | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                      | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                      | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                                      | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                                      | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( barrel @ '#sk10' @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y4 @ '#sk6' @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y3 @ '#sk4' @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                      | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                      | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                                      | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                                      | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                      | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                      | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                      | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                      | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl97,plain,
    ( ~ ( ( exists_in_world @ '#sk14' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                  | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                  | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                  | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                  | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                                  | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y3 @ '#sk6' @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y2 @ '#sk4' @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                  | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                  | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                                  | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                                  | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                                  | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                  | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                  | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                  | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl103,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                                | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                                | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                                | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                                | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                                | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                                | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y3 @ '#sk6' @ '#sk1' ) )
                                | ( (~) @ ( in @ Y2 @ '#sk4' @ '#sk1' ) )
                                | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                                | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                                | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                                | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                                | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                                | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                                | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl107,plain,
    ( ~ ( ( exists_in_world @ '#sk16' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                            | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                            | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                            | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                            | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                            | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                            | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                            | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
                            | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
                            | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ '#sk16' @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y2 @ '#sk6' @ '#sk1' ) )
                            | ( (~) @ ( in @ Y1 @ '#sk4' @ '#sk1' ) )
                            | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
                            | ( qmltpeq @ '#sk16' @ Y0 @ '#sk1' )
                            | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                            | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                            | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                            | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                            | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                            | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                            | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl113,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                          | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                          | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                          | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                          | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                          | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                          | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                          | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
                          | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
                          | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ '#sk16' @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y2 @ '#sk6' @ '#sk1' ) )
                          | ( (~) @ ( in @ Y1 @ '#sk4' @ '#sk1' ) )
                          | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
                          | ( qmltpeq @ '#sk16' @ Y0 @ '#sk1' )
                          | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                          | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                          | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                          | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                          | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                          | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                          | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl117,plain,
    ( ~ ( ( exists_in_world @ '#sk18' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                      | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                      | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                      | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                      | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                      | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                      | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                      | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
                      | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
                      | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ '#sk16' @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ '#sk18' @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y1 @ '#sk6' @ '#sk1' ) )
                      | ( (~) @ ( in @ Y0 @ '#sk4' @ '#sk1' ) )
                      | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
                      | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
                      | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
                      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
                      | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                      | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                      | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                      | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                      | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                      | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                      | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl123,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                    | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                    | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                    | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                    | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                    | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                    | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                    | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
                    | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
                    | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ '#sk16' @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ '#sk18' @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y1 @ '#sk6' @ '#sk1' ) )
                    | ( (~) @ ( in @ Y0 @ '#sk4' @ '#sk1' ) )
                    | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
                    | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
                    | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
                    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
                    | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                    | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                    | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                    | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                    | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                    | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                    | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl127,plain,
    ( ~ ( ( exists_in_world @ '#sk20' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
                | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
                | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
                | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
                | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
                | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
                | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
                | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ '#sk16' @ '#sk20' @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ '#sk18' @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ Y0 @ '#sk6' @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk20' @ '#sk4' @ '#sk1' ) )
                | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
                | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
                | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
                | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
                | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
                | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
                | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
                | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
                | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
                | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
                | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
              | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
              | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
              | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
              | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
              | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
              | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
              | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ '#sk16' @ '#sk20' @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ '#sk18' @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ Y0 @ '#sk6' @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk20' @ '#sk4' @ '#sk1' ) )
              | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
              | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
              | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
              | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
              | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
              | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
              | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
              | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
              | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
              | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
              | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl137,plain,
    ( ~ ( ( exists_in_world @ '#sk22' @ '#sk1' )
       => ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
          | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
          | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
          | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
          | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
          | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
          | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
          | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ '#sk16' @ '#sk20' @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ '#sk18' @ '#sk22' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk22' @ '#sk6' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk20' @ '#sk4' @ '#sk1' ) )
          | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
          | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
          | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
          | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
          | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
          | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
          | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
          | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
          | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
          | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl143,plain,
    ( ~ ( ( (~) @ ( furniture @ '#sk4' @ '#sk1' ) )
        | ( (~) @ ( seat @ '#sk6' @ '#sk1' ) )
        | ( (~) @ ( front @ '#sk6' @ '#sk1' ) )
        | ( (~) @ ( city @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( street @ '#sk12' @ '#sk1' ) )
        | ( (~) @ ( lonely @ '#sk12' @ '#sk1' ) )
        | ( (~) @ ( car @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( dirty @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( barrel @ '#sk10' @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk10' @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( fellow @ '#sk16' @ '#sk1' ) )
        | ( (~) @ ( young @ '#sk16' @ '#sk1' ) )
        | ( (~) @ ( man @ '#sk18' @ '#sk1' ) )
        | ( (~) @ ( qmltpeq @ '#sk16' @ '#sk20' @ '#sk1' ) )
        | ( (~) @ ( qmltpeq @ '#sk18' @ '#sk22' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk22' @ '#sk6' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk20' @ '#sk4' @ '#sk1' ) )
        | ( (~) @ ( young @ '#sk18' @ '#sk1' ) )
        | ( (~) @ ( fellow @ '#sk18' @ '#sk1' ) )
        | ( (~) @ ( man @ '#sk16' @ '#sk1' ) )
        | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
        | ( (~) @ ( down @ '#sk10' @ '#sk12' @ '#sk1' ) )
        | ( (~) @ ( old @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( white @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( chevy @ '#sk14' @ '#sk1' ) )
        | ( (~) @ ( way @ '#sk12' @ '#sk1' ) )
        | ( (~) @ ( event @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( hollywood @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( furniture @ '#sk6' @ '#sk1' ) )
        | ( (~) @ ( front @ '#sk4' @ '#sk1' ) )
        | ( (~) @ ( seat @ '#sk4' @ '#sk1' ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl207,plain,
    ( ( seat @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl206,plain,
    ( ( front @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl205,plain,
    ( ( furniture @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl204,plain,
    ( ( hollywood @ '#sk8' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl203,plain,
    ( ( event @ '#sk10' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl183,plain,
    ( ( car @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl184,plain,
    ( ( dirty @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl181,plain,
    ( ( street @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl182,plain,
    ( ( lonely @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl196,plain,
    ( ( man @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl195,plain,
    ( ( fellow @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl194,plain,
    ( ( young @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl189,plain,
    ( ( man @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl188,plain,
    ( ( young @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl187,plain,
    ( ( fellow @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl202,plain,
    ( ( way @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl199,plain,
    ( ( old @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl200,plain,
    ( ( white @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl201,plain,
    ( ( chevy @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl180,plain,
    ( ( city @ '#sk8' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl179,plain,
    ( ( front @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl178,plain,
    ( ( seat @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl177,plain,
    ( ( furniture @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl198,plain,
    ( ( down @ '#sk10' @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl193,plain,
    ( ( in @ '#sk20' @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl190,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk20' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl242_005,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ( qmltpeq @ X6 @ X4 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl1193,plain,
    ( ~ '#form2'
    | ~ ( exists_in_world @ '#sk20' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk20' @ '#sk16' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl242]) ).

thf(zip_derived_cl132,plain,
    ( ( exists_in_world @ '#sk20' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl2348,plain,
    ( ( qmltpeq @ '#sk20' @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl1193,zip_derived_cl132]) ).

thf(zip_derived_cl112,plain,
    ( ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl2349,plain,
    ( ~ '#form2'
    | ( qmltpeq @ '#sk20' @ '#sk16' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl2348,zip_derived_cl112]) ).

thf(zip_derived_cl758_006,plain,
    ! [X2: $i,X4: mu,X6: mu,X8: mu] :
      ( ( in @ X6 @ X8 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( in @ X4 @ X8 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 )
      | ~ ( exists_in_world @ X8 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl757]) ).

thf(zip_derived_cl2367,plain,
    ! [X0: mu] :
      ( ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk20' @ '#sk1' )
      | ~ ( in @ '#sk20' @ X0 @ '#sk1' )
      | ( in @ '#sk16' @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2349,zip_derived_cl758]) ).

thf(zip_derived_cl112_007,plain,
    ( ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl3803,plain,
    ! [X0: mu] :
      ( ( in @ '#sk16' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk20' @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk20' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl2367,zip_derived_cl112]) ).

thf(zip_derived_cl132_008,plain,
    ( ( exists_in_world @ '#sk20' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl3804,plain,
    ! [X0: mu] :
      ( ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( in @ '#sk20' @ X0 @ '#sk1' )
      | ( in @ '#sk16' @ X0 @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3803,zip_derived_cl132]) ).

thf(zip_derived_cl3805,plain,
    ( ~ '#form2'
    | ( in @ '#sk16' @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl3804]) ).

thf(zip_derived_cl3806,plain,
    ( ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ( in @ '#sk16' @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl3805]) ).

thf(zip_derived_cl52_009,plain,
    ( ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl3817,plain,
    ( ~ '#form2'
    | ( in @ '#sk16' @ '#sk4' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3806,zip_derived_cl52]) ).

thf(zip_derived_cl192,plain,
    ( ( in @ '#sk22' @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl191,plain,
    ( ( qmltpeq @ '#sk18' @ '#sk22' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl242_010,plain,
    ! [X2: $i,X4: mu,X6: mu] :
      ( ( qmltpeq @ X6 @ X4 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl1255,plain,
    ( ~ '#form2'
    | ~ ( exists_in_world @ '#sk22' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ( qmltpeq @ '#sk22' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl242]) ).

thf(zip_derived_cl142,plain,
    ( ( exists_in_world @ '#sk22' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl2396,plain,
    ( ( qmltpeq @ '#sk22' @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl1255,zip_derived_cl142]) ).

thf(zip_derived_cl122,plain,
    ( ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl2397,plain,
    ( ~ '#form2'
    | ( qmltpeq @ '#sk22' @ '#sk18' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl2396,zip_derived_cl122]) ).

thf(zip_derived_cl758_011,plain,
    ! [X2: $i,X4: mu,X6: mu,X8: mu] :
      ( ( in @ X6 @ X8 @ X2 )
      | ~ ( qmltpeq @ X4 @ X6 @ X2 )
      | ~ ( in @ X4 @ X8 @ X2 )
      | ~ ( exists_in_world @ X4 @ X2 )
      | ~ ( exists_in_world @ X6 @ X2 )
      | ~ ( exists_in_world @ X8 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl757]) ).

thf(zip_derived_cl2415,plain,
    ! [X0: mu] :
      ( ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk22' @ '#sk1' )
      | ~ ( in @ '#sk22' @ X0 @ '#sk1' )
      | ( in @ '#sk18' @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2397,zip_derived_cl758]) ).

thf(zip_derived_cl122_012,plain,
    ( ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl3829,plain,
    ! [X0: mu] :
      ( ( in @ '#sk18' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk22' @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk22' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl2415,zip_derived_cl122]) ).

thf(zip_derived_cl142_013,plain,
    ( ( exists_in_world @ '#sk22' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl3830,plain,
    ! [X0: mu] :
      ( ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( in @ '#sk22' @ X0 @ '#sk1' )
      | ( in @ '#sk18' @ X0 @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3829,zip_derived_cl142]) ).

thf(zip_derived_cl3831,plain,
    ( ~ '#form2'
    | ( in @ '#sk18' @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl3830]) ).

thf(zip_derived_cl3832,plain,
    ( ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ( in @ '#sk18' @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl3831]) ).

thf(zip_derived_cl62_014,plain,
    ( ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl3837,plain,
    ( ~ '#form2'
    | ( in @ '#sk18' @ '#sk6' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl62]) ).

thf(zip_derived_cl122_015,plain,
    ( ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).

thf(reflexivity,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( qmltpeq @ X @ X ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: $i,X6: mu] :
      ( ( exists_in_world @ X6 @ X4 )
     => ( qmltpeq @ X6 @ X6 @ X4 ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: mu] :
            ( ( exists_in_world @ Y1 @ Y0 )
           => ( qmltpeq @ Y1 @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl211,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ X2 )
         => ( qmltpeq @ Y0 @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl212,plain,
    ! [X2: $i,X4: mu] :
      ( ( exists_in_world @ X4 @ X2 )
     => ( qmltpeq @ X4 @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl213,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ X2 )
      | ( qmltpeq @ X4 @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl301,plain,
    ( ~ '#form2'
    | ( qmltpeq @ '#sk18' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl213]) ).

thf(zip_derived_cl112_016,plain,
    ( ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl213_017,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ X2 )
      | ( qmltpeq @ X4 @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl300,plain,
    ( ~ '#form2'
    | ( qmltpeq @ '#sk16' @ '#sk16' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl213]) ).

thf(zip_derived_cl186,plain,
    ( ( in @ '#sk10' @ '#sk8' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl185,plain,
    ( ( barrel @ '#sk10' @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl33,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl35,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y5: mu] :
                                              ( ( exists_in_world @ Y5 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y6: mu] :
                                                    ( ( exists_in_world @ Y6 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y7: mu] :
                                                          ( ( exists_in_world @ Y7 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y8: mu] :
                                                                ( ( exists_in_world @ Y8 @ '#sk1' )
                                                               => ( !!
                                                                  @ ^ [Y9: mu] :
                                                                      ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                     => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                        | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                        | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                        | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                        | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                        | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                        | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                        | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                        | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                        | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                        | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        | $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl36,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( (~)
        @ ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( !!
                                                                @ ^ [Y9: mu] :
                                                                    ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                   => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                      | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                      | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                      | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                      | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                      | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                      | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                      | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                      | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                      | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                      | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl37,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl38,plain,
    ! [X2: mu] :
      ( ( ( exists_in_world @ X2 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl44,plain,
    ( ~ '#form2'
    | ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl45,plain,
    ! [X2: mu] :
      ( ( ( exists_in_world @ X2 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl51,plain,
    ! [X2: mu] :
      ( ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( way @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( barrel @ Y2 @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                              | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                              | ( (~) @ ( down @ Y2 @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( lonely @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( street @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                              | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl56,plain,
    ! [X2: mu,X4: mu] :
      ( ( ( exists_in_world @ X4 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y7 @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y6 @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                          | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                          | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                          | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl61,plain,
    ! [X2: mu,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y7 @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y6 @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                        | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                        | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                        | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl66,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ( ( exists_in_world @ X6 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y0 @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y6 @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y5 @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                    | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                    | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                    | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl71,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ~ ( exists_in_world @ X6 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y0 @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y6 @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y5 @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                  | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                  | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                  | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl76,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ( ( exists_in_world @ X8 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( barrel @ X8 @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y5 @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y4 @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                              | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                              | ( (~) @ ( down @ X8 @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                              | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl81,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ~ ( exists_in_world @ X8 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( barrel @ X8 @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y5 @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y4 @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                            | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                            | ( (~) @ ( down @ X8 @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                            | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl86,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ( ( exists_in_world @ X10 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( white @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( old @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y4 @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y3 @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                        | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                        | ( (~) @ ( down @ X8 @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( car @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                        | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl91,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ~ ( exists_in_world @ X10 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( white @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( old @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y4 @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y3 @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                      | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                      | ( (~) @ ( down @ X8 @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( car @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl96,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ( ( exists_in_world @ X12 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( white @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( old @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( way @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y3 @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y2 @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                  | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                  | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( street @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( car @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl101,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ~ ( exists_in_world @ X12 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                                | ( (~) @ ( white @ X10 @ '#sk1' ) )
                                | ( (~) @ ( old @ X10 @ '#sk1' ) )
                                | ( (~) @ ( way @ X12 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                                | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y3 @ X4 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y2 @ X2 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                                | ( (~) @ ( street @ X12 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                                | ( (~) @ ( car @ X10 @ '#sk1' ) )
                                | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl106,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ( ( exists_in_world @ X14 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                            | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                            | ( (~) @ ( front @ X4 @ '#sk1' ) )
                            | ( (~) @ ( city @ X6 @ '#sk1' ) )
                            | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                            | ( (~) @ ( white @ X10 @ '#sk1' ) )
                            | ( (~) @ ( old @ X10 @ '#sk1' ) )
                            | ( (~) @ ( way @ X12 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                            | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                            | ( (~) @ ( young @ X14 @ '#sk1' ) )
                            | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ X14 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y2 @ X4 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y1 @ X2 @ '#sk1' ) )
                            | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( man @ X14 @ '#sk1' ) )
                            | ( qmltpeq @ X14 @ Y0 @ '#sk1' )
                            | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                            | ( (~) @ ( street @ X12 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                            | ( (~) @ ( car @ X10 @ '#sk1' ) )
                            | ( (~) @ ( event @ X8 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                            | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                            | ( (~) @ ( front @ X2 @ '#sk1' ) )
                            | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl111,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ~ ( exists_in_world @ X14 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                          | ( (~) @ ( front @ X4 @ '#sk1' ) )
                          | ( (~) @ ( city @ X6 @ '#sk1' ) )
                          | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                          | ( (~) @ ( white @ X10 @ '#sk1' ) )
                          | ( (~) @ ( old @ X10 @ '#sk1' ) )
                          | ( (~) @ ( way @ X12 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                          | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                          | ( (~) @ ( young @ X14 @ '#sk1' ) )
                          | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ X14 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y2 @ X4 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y1 @ X2 @ '#sk1' ) )
                          | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( man @ X14 @ '#sk1' ) )
                          | ( qmltpeq @ X14 @ Y0 @ '#sk1' )
                          | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                          | ( (~) @ ( street @ X12 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                          | ( (~) @ ( car @ X10 @ '#sk1' ) )
                          | ( (~) @ ( event @ X8 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                          | ( (~) @ ( front @ X2 @ '#sk1' ) )
                          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl116,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ( ( exists_in_world @ X16 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                      | ( (~) @ ( front @ X4 @ '#sk1' ) )
                      | ( (~) @ ( city @ X6 @ '#sk1' ) )
                      | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                      | ( (~) @ ( white @ X10 @ '#sk1' ) )
                      | ( (~) @ ( old @ X10 @ '#sk1' ) )
                      | ( (~) @ ( way @ X12 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                      | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                      | ( (~) @ ( young @ X14 @ '#sk1' ) )
                      | ( (~) @ ( man @ X16 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ X14 @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ X16 @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y1 @ X4 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                      | ( (~) @ ( young @ X16 @ '#sk1' ) )
                      | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                      | ( (~) @ ( man @ X14 @ '#sk1' ) )
                      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                      | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                      | ( (~) @ ( street @ X12 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                      | ( (~) @ ( car @ X10 @ '#sk1' ) )
                      | ( (~) @ ( event @ X8 @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                      | ( (~) @ ( front @ X2 @ '#sk1' ) )
                      | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl121,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ~ ( exists_in_world @ X16 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                    | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                    | ( (~) @ ( front @ X4 @ '#sk1' ) )
                    | ( (~) @ ( city @ X6 @ '#sk1' ) )
                    | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                    | ( (~) @ ( white @ X10 @ '#sk1' ) )
                    | ( (~) @ ( old @ X10 @ '#sk1' ) )
                    | ( (~) @ ( way @ X12 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                    | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                    | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                    | ( (~) @ ( young @ X14 @ '#sk1' ) )
                    | ( (~) @ ( man @ X16 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ X14 @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ X16 @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y1 @ X4 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                    | ( (~) @ ( young @ X16 @ '#sk1' ) )
                    | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                    | ( (~) @ ( man @ X14 @ '#sk1' ) )
                    | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                    | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                    | ( (~) @ ( street @ X12 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                    | ( (~) @ ( car @ X10 @ '#sk1' ) )
                    | ( (~) @ ( event @ X8 @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                    | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                    | ( (~) @ ( front @ X2 @ '#sk1' ) )
                    | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl126,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
      ( ( ( exists_in_world @ X18 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                | ( (~) @ ( front @ X4 @ '#sk1' ) )
                | ( (~) @ ( city @ X6 @ '#sk1' ) )
                | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
                | ( (~) @ ( white @ X10 @ '#sk1' ) )
                | ( (~) @ ( old @ X10 @ '#sk1' ) )
                | ( (~) @ ( way @ X12 @ '#sk1' ) )
                | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
                | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                | ( (~) @ ( young @ X14 @ '#sk1' ) )
                | ( (~) @ ( man @ X16 @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ X16 @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ Y0 @ X4 @ '#sk1' ) )
                | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
                | ( (~) @ ( young @ X16 @ '#sk1' ) )
                | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                | ( (~) @ ( man @ X14 @ '#sk1' ) )
                | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
                | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
                | ( (~) @ ( street @ X12 @ '#sk1' ) )
                | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
                | ( (~) @ ( car @ X10 @ '#sk1' ) )
                | ( (~) @ ( event @ X8 @ '#sk1' ) )
                | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl131,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
      ( ~ ( exists_in_world @ X18 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
              | ( (~) @ ( seat @ X4 @ '#sk1' ) )
              | ( (~) @ ( front @ X4 @ '#sk1' ) )
              | ( (~) @ ( city @ X6 @ '#sk1' ) )
              | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
              | ( (~) @ ( white @ X10 @ '#sk1' ) )
              | ( (~) @ ( old @ X10 @ '#sk1' ) )
              | ( (~) @ ( way @ X12 @ '#sk1' ) )
              | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
              | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
              | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
              | ( (~) @ ( young @ X14 @ '#sk1' ) )
              | ( (~) @ ( man @ X16 @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ X16 @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ Y0 @ X4 @ '#sk1' ) )
              | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
              | ( (~) @ ( young @ X16 @ '#sk1' ) )
              | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
              | ( (~) @ ( man @ X14 @ '#sk1' ) )
              | ( qmltpeq @ X14 @ X16 @ '#sk1' )
              | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
              | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
              | ( (~) @ ( street @ X12 @ '#sk1' ) )
              | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
              | ( (~) @ ( car @ X10 @ '#sk1' ) )
              | ( (~) @ ( event @ X8 @ '#sk1' ) )
              | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
              | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
              | ( (~) @ ( front @ X2 @ '#sk1' ) )
              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl136,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ( ( exists_in_world @ X20 @ '#sk1' )
       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
          | ( (~) @ ( front @ X4 @ '#sk1' ) )
          | ( (~) @ ( city @ X6 @ '#sk1' ) )
          | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
          | ( (~) @ ( white @ X10 @ '#sk1' ) )
          | ( (~) @ ( old @ X10 @ '#sk1' ) )
          | ( (~) @ ( way @ X12 @ '#sk1' ) )
          | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
          | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
          | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
          | ( (~) @ ( young @ X14 @ '#sk1' ) )
          | ( (~) @ ( man @ X16 @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ X16 @ X20 @ '#sk1' ) )
          | ( (~) @ ( in @ X20 @ X4 @ '#sk1' ) )
          | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
          | ( (~) @ ( young @ X16 @ '#sk1' ) )
          | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
          | ( (~) @ ( man @ X14 @ '#sk1' ) )
          | ( qmltpeq @ X14 @ X16 @ '#sk1' )
          | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
          | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
          | ( (~) @ ( street @ X12 @ '#sk1' ) )
          | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
          | ( (~) @ ( car @ X10 @ '#sk1' ) )
          | ( (~) @ ( event @ X8 @ '#sk1' ) )
          | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
          | ( (~) @ ( front @ X2 @ '#sk1' ) )
          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X18 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl141,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ~ ( exists_in_world @ X20 @ '#sk1' )
      | ( (~) @ ( furniture @ X2 @ '#sk1' ) )
      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
      | ( (~) @ ( front @ X4 @ '#sk1' ) )
      | ( (~) @ ( city @ X6 @ '#sk1' ) )
      | ( (~) @ ( chevy @ X10 @ '#sk1' ) )
      | ( (~) @ ( white @ X10 @ '#sk1' ) )
      | ( (~) @ ( old @ X10 @ '#sk1' ) )
      | ( (~) @ ( way @ X12 @ '#sk1' ) )
      | ( (~) @ ( barrel @ X8 @ X10 @ '#sk1' ) )
      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
      | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
      | ( (~) @ ( young @ X14 @ '#sk1' ) )
      | ( (~) @ ( man @ X16 @ '#sk1' ) )
      | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
      | ( (~) @ ( qmltpeq @ X16 @ X20 @ '#sk1' ) )
      | ( (~) @ ( in @ X20 @ X4 @ '#sk1' ) )
      | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
      | ( (~) @ ( young @ X16 @ '#sk1' ) )
      | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
      | ( (~) @ ( man @ X14 @ '#sk1' ) )
      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
      | ( (~) @ ( down @ X8 @ X12 @ '#sk1' ) )
      | ( (~) @ ( lonely @ X12 @ '#sk1' ) )
      | ( (~) @ ( street @ X12 @ '#sk1' ) )
      | ( (~) @ ( dirty @ X10 @ '#sk1' ) )
      | ( (~) @ ( car @ X10 @ '#sk1' ) )
      | ( (~) @ ( event @ X8 @ '#sk1' ) )
      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
      | ( (~) @ ( front @ X2 @ '#sk1' ) )
      | ( (~) @ ( seat @ X2 @ '#sk1' ) )
      | ~ ( exists_in_world @ X18 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl176,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ~ ( furniture @ X2 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( city @ X6 @ '#sk1' )
      | ~ ( chevy @ X10 @ '#sk1' )
      | ~ ( white @ X10 @ '#sk1' )
      | ~ ( old @ X10 @ '#sk1' )
      | ~ ( way @ X12 @ '#sk1' )
      | ~ ( barrel @ X8 @ X10 @ '#sk1' )
      | ~ ( in @ X8 @ X6 @ '#sk1' )
      | ~ ( fellow @ X14 @ '#sk1' )
      | ~ ( young @ X14 @ '#sk1' )
      | ~ ( man @ X16 @ '#sk1' )
      | ~ ( qmltpeq @ X14 @ X18 @ '#sk1' )
      | ~ ( qmltpeq @ X16 @ X20 @ '#sk1' )
      | ~ ( in @ X20 @ X4 @ '#sk1' )
      | ~ ( in @ X18 @ X2 @ '#sk1' )
      | ~ ( young @ X16 @ '#sk1' )
      | ~ ( fellow @ X16 @ '#sk1' )
      | ~ ( man @ X14 @ '#sk1' )
      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
      | ~ ( down @ X8 @ X12 @ '#sk1' )
      | ~ ( lonely @ X12 @ '#sk1' )
      | ~ ( street @ X12 @ '#sk1' )
      | ~ ( dirty @ X10 @ '#sk1' )
      | ~ ( car @ X10 @ '#sk1' )
      | ~ ( event @ X8 @ '#sk1' )
      | ~ ( hollywood @ X6 @ '#sk1' )
      | ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | ~ '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X18 @ '#sk1' )
      | ~ ( exists_in_world @ X20 @ '#sk1' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl1186,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu,X7: mu] :
      ( ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X7 @ '#sk1' )
      | ~ '#form2'
      | ~ ( seat @ X7 @ '#sk1' )
      | ~ ( front @ X7 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( hollywood @ X5 @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X4 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X7 @ '#sk1' )
      | ~ ( in @ X0 @ X6 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( in @ '#sk10' @ X5 @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ X5 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( furniture @ X7 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl176]) ).

thf(zip_derived_cl1188,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu,X7: mu] :
      ( ~ ( furniture @ X7 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( city @ X5 @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( in @ '#sk10' @ X5 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X6 @ '#sk1' )
      | ~ ( in @ X1 @ X7 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ X5 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( front @ X7 @ '#sk1' )
      | ~ ( seat @ X7 @ '#sk1' )
      | ~ ( exists_in_world @ X7 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl1186]) ).

thf(zip_derived_cl1221,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu] :
      ( ~ '#form2'
      | ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( furniture @ X5 @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X4 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X6 @ '#sk1' )
      | ~ ( in @ X0 @ X5 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( front @ X5 @ '#sk1' )
      | ~ ( seat @ X5 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl1188]) ).

thf(zip_derived_cl1222,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu] :
      ( ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( seat @ X5 @ '#sk1' )
      | ~ ( front @ X5 @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X5 @ '#sk1' )
      | ~ ( in @ X1 @ X6 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( furniture @ X5 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl1221]) ).

thf(zip_derived_cl1708,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ '#form2'
      | ~ '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X2 @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ X1 @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( in @ '#sk16' @ X4 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( furniture @ X4 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl1222]) ).

thf(zip_derived_cl1738,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( in @ '#sk16' @ X4 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ X1 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl1708]) ).

thf(zip_derived_cl2261,plain,
    ! [X0: mu,X1: mu,X2: mu] :
      ( ~ '#form2'
      | ~ '#form2'
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( in @ '#sk16' @ X2 @ '#sk1' )
      | ~ ( in @ '#sk18' @ X1 @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( furniture @ X2 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl1738]) ).

thf(zip_derived_cl2286,plain,
    ! [X0: mu,X1: mu,X2: mu] :
      ( ~ ( furniture @ X2 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( in @ '#sk18' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk16' @ X2 @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl2261]) ).

thf(zip_derived_cl4095,plain,
    ! [X0: mu,X1: mu] :
      ( ~ '#form2'
      | ~ '#form2'
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( furniture @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( in @ '#sk16' @ X1 @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( front @ '#sk6' @ '#sk1' )
      | ~ ( seat @ '#sk6' @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3837,zip_derived_cl2286]) ).

thf(zip_derived_cl4096,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( seat @ '#sk6' @ '#sk1' )
      | ~ ( front @ '#sk6' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( in @ '#sk16' @ X1 @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( furniture @ '#sk6' @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4095]) ).

thf(zip_derived_cl4099,plain,
    ! [X0: mu] :
      ( ~ '#form2'
      | ~ '#form2'
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
      | ~ ( seat @ '#sk4' @ '#sk1' )
      | ~ ( front @ '#sk4' @ '#sk1' )
      | ~ ( furniture @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( front @ '#sk6' @ '#sk1' )
      | ~ ( seat @ '#sk6' @ '#sk1' )
      | ~ ( furniture @ '#sk4' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3817,zip_derived_cl4096]) ).

thf(zip_derived_cl4100,plain,
    ! [X0: mu] :
      ( ~ ( furniture @ '#sk4' @ '#sk1' )
      | ~ ( seat @ '#sk6' @ '#sk1' )
      | ~ ( front @ '#sk6' @ '#sk1' )
      | ~ ( city @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ '#sk14' @ '#sk1' )
      | ~ ( white @ '#sk14' @ '#sk1' )
      | ~ ( old @ '#sk14' @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( fellow @ '#sk16' @ '#sk1' )
      | ~ ( young @ '#sk16' @ '#sk1' )
      | ~ ( man @ '#sk18' @ '#sk1' )
      | ~ ( young @ '#sk18' @ '#sk1' )
      | ~ ( fellow @ '#sk18' @ '#sk1' )
      | ~ ( man @ '#sk16' @ '#sk1' )
      | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
      | ~ ( down @ '#sk10' @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( dirty @ '#sk14' @ '#sk1' )
      | ~ ( car @ '#sk14' @ '#sk1' )
      | ~ ( event @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ '#sk8' @ '#sk1' )
      | ~ ( furniture @ '#sk6' @ '#sk1' )
      | ~ ( front @ '#sk4' @ '#sk1' )
      | ~ ( seat @ '#sk4' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
      | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4099]) ).

thf(zip_derived_cl4101,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( front @ '#sk6' @ '#sk1' )
    | ~ ( seat @ '#sk6' @ '#sk1' )
    | ~ ( furniture @ '#sk4' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl4100]) ).

thf(zip_derived_cl4102,plain,
    ( ~ ( furniture @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk6' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4101]) ).

thf(zip_derived_cl4103,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( front @ '#sk6' @ '#sk1' )
    | ~ ( seat @ '#sk6' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl4102]) ).

thf(zip_derived_cl4104,plain,
    ( ~ ( seat @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk6' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4103]) ).

thf(zip_derived_cl4105,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( front @ '#sk6' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl4104]) ).

thf(zip_derived_cl4106,plain,
    ( ~ ( front @ '#sk6' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4105]) ).

thf(zip_derived_cl4107,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( city @ '#sk8' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl4106]) ).

thf(zip_derived_cl4108,plain,
    ( ~ ( city @ '#sk8' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4107]) ).

thf(zip_derived_cl4109,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( chevy @ '#sk14' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl180,zip_derived_cl4108]) ).

thf(zip_derived_cl4110,plain,
    ( ~ ( chevy @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4109]) ).

thf(zip_derived_cl4111,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( white @ '#sk14' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl4110]) ).

thf(zip_derived_cl4112,plain,
    ( ~ ( white @ '#sk14' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4111]) ).

thf(zip_derived_cl4113,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( old @ '#sk14' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl4112]) ).

thf(zip_derived_cl4114,plain,
    ( ~ ( old @ '#sk14' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4113]) ).

thf(zip_derived_cl4115,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( way @ '#sk12' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl4114]) ).

thf(zip_derived_cl4116,plain,
    ( ~ ( way @ '#sk12' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4115]) ).

thf(zip_derived_cl4119,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk16' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl4116]) ).

thf(zip_derived_cl4120,plain,
    ( ~ ( fellow @ '#sk16' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4119]) ).

thf(zip_derived_cl4121,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk16' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl4120]) ).

thf(zip_derived_cl4122,plain,
    ( ~ ( young @ '#sk16' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4121]) ).

thf(zip_derived_cl4123,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl4122]) ).

thf(zip_derived_cl4124,plain,
    ( ~ ( man @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4123]) ).

thf(zip_derived_cl4125,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( young @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl4124]) ).

thf(zip_derived_cl4126,plain,
    ( ~ ( young @ '#sk18' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4125]) ).

thf(zip_derived_cl4127,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ~ ( fellow @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl4126]) ).

thf(zip_derived_cl4128,plain,
    ( ~ ( fellow @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4127]) ).

thf(zip_derived_cl4129,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( man @ '#sk16' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl4128]) ).

thf(zip_derived_cl4130,plain,
    ( ~ ( man @ '#sk16' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4129]) ).

thf(zip_derived_cl4131,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl4130]) ).

thf(zip_derived_cl4132,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( lonely @ '#sk12' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4131]) ).

thf(zip_derived_cl4133,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl4132]) ).

thf(zip_derived_cl4134,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( street @ '#sk12' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4133]) ).

thf(zip_derived_cl4135,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl4134]) ).

thf(zip_derived_cl4136,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( dirty @ '#sk14' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4135]) ).

thf(zip_derived_cl4139,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl4136]) ).

thf(zip_derived_cl4140,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( car @ '#sk14' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4139]) ).

thf(zip_derived_cl4141,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl4140]) ).

thf(zip_derived_cl4142,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( event @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4141]) ).

thf(zip_derived_cl4143,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl4142]) ).

thf(zip_derived_cl4144,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( hollywood @ '#sk8' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4143]) ).

thf(zip_derived_cl4145,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl4144]) ).

thf(zip_derived_cl4146,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( furniture @ '#sk6' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4145]) ).

thf(zip_derived_cl4147,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl205,zip_derived_cl4146]) ).

thf(zip_derived_cl4148,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( front @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4147]) ).

thf(zip_derived_cl4149,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl4148]) ).

thf(zip_derived_cl4150,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( seat @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4149]) ).

thf(zip_derived_cl4151,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl4150]) ).

thf(zip_derived_cl4152,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4151]) ).

thf(zip_derived_cl4153,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl4152]) ).

thf(zip_derived_cl4154,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4153]) ).

thf(zip_derived_cl4155,plain,
    ( ~ '#form2'
    | ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl4154]) ).

thf(zip_derived_cl4156,plain,
    ( ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl4155]) ).

thf(zip_derived_cl197,plain,
    ( ~ ( qmltpeq @ '#sk16' @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl4159,plain,
    ( ~ '#form2'
    | ~ ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk8' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl4156,zip_derived_cl197]) ).

thf(zip_derived_cl122_018,plain,
    ( ( exists_in_world @ '#sk18' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl4160,plain,
    ( ~ ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl4159,zip_derived_cl122]) ).

thf(zip_derived_cl72,plain,
    ( ( exists_in_world @ '#sk8' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl4161,plain,
    ( ~ '#form2'
    | ~ ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl4160,zip_derived_cl72]) ).

thf(zip_derived_cl112_019,plain,
    ( ( exists_in_world @ '#sk16' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl4162,plain,
    ( ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl4161,zip_derived_cl112]) ).

thf(zip_derived_cl82,plain,
    ( ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl4163,plain,
    ( ~ '#form2'
    | ~ ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk14' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl4162,zip_derived_cl82]) ).

thf(zip_derived_cl92,plain,
    ( ( exists_in_world @ '#sk12' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl4164,plain,
    ( ~ ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl4163,zip_derived_cl92]) ).

thf(zip_derived_cl102,plain,
    ( ( exists_in_world @ '#sk14' @ '#sk1' )
    | ~ '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl4165,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4378,plain,
    in @ '#sk15' @ '#sk3' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl3711,zip_derived_cl4165]) ).

thf(zip_derived_cl159,plain,
    ( ( in @ '#sk21' @ '#sk5' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_020,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4191,plain,
    in @ '#sk21' @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl4165]) ).

thf(zip_derived_cl165,plain,
    ( ( down @ '#sk9' @ '#sk13' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_021,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4197,plain,
    down @ '#sk9' @ '#sk13' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl4165]) ).

thf(zip_derived_cl158,plain,
    ( ( qmltpeq @ '#sk17' @ '#sk21' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_022,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4190,plain,
    qmltpeq @ '#sk17' @ '#sk21' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl4165]) ).

thf(zip_derived_cl108_023,plain,
    ( ( exists_in_world @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl213_024,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ X2 )
      | ( qmltpeq @ X4 @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl361,plain,
    ( '#form2'
    | ( qmltpeq @ '#sk15' @ '#sk15' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl213]) ).

thf(zip_derived_cl153,plain,
    ( ( in @ '#sk9' @ '#sk7' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl152,plain,
    ( ( barrel @ '#sk9' @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl38_025,plain,
    ! [X2: mu] :
      ( ( ( exists_in_world @ X2 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl44_026,plain,
    ( ~ '#form2'
    | ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( !!
                              @ ^ [Y4: mu] :
                                  ( ( exists_in_world @ Y4 @ '#sk1' )
                                 => ( !!
                                    @ ^ [Y5: mu] :
                                        ( ( exists_in_world @ Y5 @ '#sk1' )
                                       => ( !!
                                          @ ^ [Y6: mu] :
                                              ( ( exists_in_world @ Y6 @ '#sk1' )
                                             => ( !!
                                                @ ^ [Y7: mu] :
                                                    ( ( exists_in_world @ Y7 @ '#sk1' )
                                                   => ( !!
                                                      @ ^ [Y8: mu] :
                                                          ( ( exists_in_world @ Y8 @ '#sk1' )
                                                         => ( !!
                                                            @ ^ [Y9: mu] :
                                                                ( ( exists_in_world @ Y9 @ '#sk1' )
                                                               => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                  | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                  | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                  | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                  | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                  | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                  | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                  | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                  | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                  | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                  | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl41_027,plain,
    ( '#form2'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( !!
                                                              @ ^ [Y9: mu] :
                                                                  ( ( exists_in_world @ Y9 @ '#sk1' )
                                                                 => ( ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( city @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( way @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( barrel @ Y3 @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y3 @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                    | ( (~) @ ( qmltpeq @ Y7 @ Y9 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y9 @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( young @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( fellow @ Y7 @ '#sk1' ) )
                                                                    | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                    | ( qmltpeq @ Y6 @ Y7 @ '#sk1' )
                                                                    | ( (~) @ ( down @ Y3 @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( lonely @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( street @ Y5 @ '#sk1' ) )
                                                                    | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                    | ( (~) @ ( event @ Y3 @ '#sk1' ) )
                                                                    | ( (~) @ ( hollywood @ Y2 @ '#sk1' ) )
                                                                    | ( (~) @ ( furniture @ Y1 @ '#sk1' ) )
                                                                    | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                    | ( (~) @ ( seat @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl46,plain,
    ! [X2: mu] :
      ( '#form2'
      | ( ( exists_in_world @ X2 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( !!
                                                          @ ^ [Y8: mu] :
                                                              ( ( exists_in_world @ Y8 @ '#sk1' )
                                                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                                | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                                | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                                | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                                | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                                | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                                | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                                | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl38,zip_derived_cl44,zip_derived_cl41]) ).

thf(zip_derived_cl50,plain,
    ! [X2: mu] :
      ( ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( !!
                                                        @ ^ [Y8: mu] :
                                                            ( ( exists_in_world @ Y8 @ '#sk1' )
                                                           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( city @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( car @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( dirty @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( barrel @ Y2 @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y2 @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                              | ( (~) @ ( qmltpeq @ Y6 @ Y8 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y8 @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( in @ Y7 @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( young @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( fellow @ Y6 @ '#sk1' ) )
                                                              | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                              | ( qmltpeq @ Y5 @ Y6 @ '#sk1' )
                                                              | ( (~) @ ( down @ Y2 @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( old @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( white @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( chevy @ Y4 @ '#sk1' ) )
                                                              | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                                              | ( (~) @ ( event @ Y2 @ '#sk1' ) )
                                                              | ( (~) @ ( hollywood @ Y1 @ '#sk1' ) )
                                                              | ( (~) @ ( furniture @ Y0 @ '#sk1' ) )
                                                              | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl55,plain,
    ! [X2: mu,X4: mu] :
      ( ( ( exists_in_world @ X4 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( !!
                                                    @ ^ [Y7: mu] :
                                                        ( ( exists_in_world @ Y7 @ '#sk1' )
                                                       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                          | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y7 @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( in @ Y6 @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                          | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                          | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                          | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                          | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                          | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                          | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                          | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl60,plain,
    ! [X2: mu,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( !!
                                                  @ ^ [Y7: mu] :
                                                      ( ( exists_in_world @ Y7 @ '#sk1' )
                                                     => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                        | ( (~) @ ( qmltpeq @ Y5 @ Y7 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y7 @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( in @ Y6 @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( young @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( fellow @ Y5 @ '#sk1' ) )
                                                        | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                        | ( qmltpeq @ Y4 @ Y5 @ '#sk1' )
                                                        | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                                        | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                                        | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                                        | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) )
                                                        | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                        | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                        | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl65,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ( ( exists_in_world @ X6 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( !!
                                              @ ^ [Y6: mu] :
                                                  ( ( exists_in_world @ Y6 @ '#sk1' )
                                                 => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y0 @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                    | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y6 @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( in @ Y5 @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                    | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                    | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                    | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                    | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                                    | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                    | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                                    | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                    | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                    | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl60]) ).

thf(zip_derived_cl70,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ~ ( exists_in_world @ X6 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( !!
                                            @ ^ [Y6: mu] :
                                                ( ( exists_in_world @ Y6 @ '#sk1' )
                                               => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y0 @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                                  | ( (~) @ ( qmltpeq @ Y4 @ Y6 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y6 @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( in @ Y5 @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( young @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( fellow @ Y4 @ '#sk1' ) )
                                                  | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                                  | ( qmltpeq @ Y3 @ Y4 @ '#sk1' )
                                                  | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                                  | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                                                  | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                                                  | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                                  | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                                  | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                                  | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl75,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ( ( exists_in_world @ X8 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( !!
                                        @ ^ [Y5: mu] :
                                            ( ( exists_in_world @ Y5 @ '#sk1' )
                                           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( barrel @ X8 @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                              | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y5 @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( in @ Y4 @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                              | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                              | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                              | ( (~) @ ( down @ X8 @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                              | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                              | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                              | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                              | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                              | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl80,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ~ ( exists_in_world @ X8 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( !!
                                      @ ^ [Y5: mu] :
                                          ( ( exists_in_world @ Y5 @ '#sk1' )
                                         => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( barrel @ X8 @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                            | ( (~) @ ( qmltpeq @ Y3 @ Y5 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y5 @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( in @ Y4 @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( young @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( fellow @ Y3 @ '#sk1' ) )
                                            | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                            | ( qmltpeq @ Y2 @ Y3 @ '#sk1' )
                                            | ( (~) @ ( down @ X8 @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                                            | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                                            | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                            | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                            | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                            | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                            | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl85,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ( ( exists_in_world @ X10 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( !!
                                  @ ^ [Y4: mu] :
                                      ( ( exists_in_world @ Y4 @ '#sk1' )
                                     => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( street @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( barrel @ X8 @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                        | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y4 @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( in @ Y3 @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                        | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                        | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                        | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                        | ( (~) @ ( way @ X10 @ '#sk1' ) )
                                        | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                        | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                        | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                        | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                        | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl90,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ~ ( exists_in_world @ X10 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( !!
                                @ ^ [Y4: mu] :
                                    ( ( exists_in_world @ Y4 @ '#sk1' )
                                   => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( street @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( barrel @ X8 @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                      | ( (~) @ ( qmltpeq @ Y2 @ Y4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y4 @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( in @ Y3 @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( young @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( fellow @ Y2 @ '#sk1' ) )
                                      | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                      | ( qmltpeq @ Y1 @ Y2 @ '#sk1' )
                                      | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                                      | ( (~) @ ( way @ X10 @ '#sk1' ) )
                                      | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                      | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                      | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl95,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ( ( exists_in_world @ X12 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( street @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( car @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y3 @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y2 @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                  | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                  | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( old @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( white @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                                  | ( (~) @ ( way @ X10 @ '#sk1' ) )
                                  | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                  | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                  | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                  | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl100,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ~ ( exists_in_world @ X12 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                                | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                                | ( (~) @ ( front @ X4 @ '#sk1' ) )
                                | ( (~) @ ( city @ X6 @ '#sk1' ) )
                                | ( (~) @ ( street @ X10 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                                | ( (~) @ ( car @ X12 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                                | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( qmltpeq @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y3 @ X4 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y2 @ X2 @ '#sk1' ) )
                                | ( (~) @ ( young @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( fellow @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                                | ( qmltpeq @ Y0 @ Y1 @ '#sk1' )
                                | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                                | ( (~) @ ( old @ X12 @ '#sk1' ) )
                                | ( (~) @ ( white @ X12 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                                | ( (~) @ ( way @ X10 @ '#sk1' ) )
                                | ( (~) @ ( event @ X8 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                                | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl105,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ( ( exists_in_world @ X14 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                            | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                            | ( (~) @ ( front @ X4 @ '#sk1' ) )
                            | ( (~) @ ( city @ X6 @ '#sk1' ) )
                            | ( (~) @ ( street @ X10 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                            | ( (~) @ ( car @ X12 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                            | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                            | ( (~) @ ( young @ X14 @ '#sk1' ) )
                            | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ X14 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y2 @ X4 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y1 @ X2 @ '#sk1' ) )
                            | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( man @ X14 @ '#sk1' ) )
                            | ( qmltpeq @ X14 @ Y0 @ '#sk1' )
                            | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                            | ( (~) @ ( old @ X12 @ '#sk1' ) )
                            | ( (~) @ ( white @ X12 @ '#sk1' ) )
                            | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                            | ( (~) @ ( way @ X10 @ '#sk1' ) )
                            | ( (~) @ ( event @ X8 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                            | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                            | ( (~) @ ( front @ X2 @ '#sk1' ) )
                            | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl110,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ~ ( exists_in_world @ X14 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                          | ( (~) @ ( front @ X4 @ '#sk1' ) )
                          | ( (~) @ ( city @ X6 @ '#sk1' ) )
                          | ( (~) @ ( street @ X10 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                          | ( (~) @ ( car @ X12 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                          | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                          | ( (~) @ ( young @ X14 @ '#sk1' ) )
                          | ( (~) @ ( man @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ X14 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( qmltpeq @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y2 @ X4 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y1 @ X2 @ '#sk1' ) )
                          | ( (~) @ ( young @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( fellow @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( man @ X14 @ '#sk1' ) )
                          | ( qmltpeq @ X14 @ Y0 @ '#sk1' )
                          | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                          | ( (~) @ ( old @ X12 @ '#sk1' ) )
                          | ( (~) @ ( white @ X12 @ '#sk1' ) )
                          | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                          | ( (~) @ ( way @ X10 @ '#sk1' ) )
                          | ( (~) @ ( event @ X8 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                          | ( (~) @ ( front @ X2 @ '#sk1' ) )
                          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).

thf(zip_derived_cl115,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ( ( exists_in_world @ X16 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                      | ( (~) @ ( front @ X4 @ '#sk1' ) )
                      | ( (~) @ ( city @ X6 @ '#sk1' ) )
                      | ( (~) @ ( street @ X10 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                      | ( (~) @ ( car @ X12 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                      | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                      | ( (~) @ ( young @ X14 @ '#sk1' ) )
                      | ( (~) @ ( man @ X16 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ X14 @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( qmltpeq @ X16 @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y1 @ X4 @ '#sk1' ) )
                      | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                      | ( (~) @ ( young @ X16 @ '#sk1' ) )
                      | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                      | ( (~) @ ( man @ X14 @ '#sk1' ) )
                      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                      | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                      | ( (~) @ ( old @ X12 @ '#sk1' ) )
                      | ( (~) @ ( white @ X12 @ '#sk1' ) )
                      | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                      | ( (~) @ ( way @ X10 @ '#sk1' ) )
                      | ( (~) @ ( event @ X8 @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                      | ( (~) @ ( front @ X2 @ '#sk1' ) )
                      | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl110]) ).

thf(zip_derived_cl120,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ~ ( exists_in_world @ X16 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                    | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                    | ( (~) @ ( front @ X4 @ '#sk1' ) )
                    | ( (~) @ ( city @ X6 @ '#sk1' ) )
                    | ( (~) @ ( street @ X10 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                    | ( (~) @ ( car @ X12 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                    | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                    | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                    | ( (~) @ ( young @ X14 @ '#sk1' ) )
                    | ( (~) @ ( man @ X16 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ X14 @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( qmltpeq @ X16 @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y1 @ X4 @ '#sk1' ) )
                    | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                    | ( (~) @ ( young @ X16 @ '#sk1' ) )
                    | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                    | ( (~) @ ( man @ X14 @ '#sk1' ) )
                    | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                    | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                    | ( (~) @ ( old @ X12 @ '#sk1' ) )
                    | ( (~) @ ( white @ X12 @ '#sk1' ) )
                    | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                    | ( (~) @ ( way @ X10 @ '#sk1' ) )
                    | ( (~) @ ( event @ X8 @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                    | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                    | ( (~) @ ( front @ X2 @ '#sk1' ) )
                    | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl125,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
      ( ( ( exists_in_world @ X18 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
                | ( (~) @ ( seat @ X4 @ '#sk1' ) )
                | ( (~) @ ( front @ X4 @ '#sk1' ) )
                | ( (~) @ ( city @ X6 @ '#sk1' ) )
                | ( (~) @ ( street @ X10 @ '#sk1' ) )
                | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
                | ( (~) @ ( car @ X12 @ '#sk1' ) )
                | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
                | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
                | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
                | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
                | ( (~) @ ( young @ X14 @ '#sk1' ) )
                | ( (~) @ ( man @ X16 @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
                | ( (~) @ ( qmltpeq @ X16 @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ Y0 @ X4 @ '#sk1' ) )
                | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
                | ( (~) @ ( young @ X16 @ '#sk1' ) )
                | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
                | ( (~) @ ( man @ X14 @ '#sk1' ) )
                | ( qmltpeq @ X14 @ X16 @ '#sk1' )
                | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
                | ( (~) @ ( old @ X12 @ '#sk1' ) )
                | ( (~) @ ( white @ X12 @ '#sk1' ) )
                | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
                | ( (~) @ ( way @ X10 @ '#sk1' ) )
                | ( (~) @ ( event @ X8 @ '#sk1' ) )
                | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
                | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
                | ( (~) @ ( front @ X2 @ '#sk1' ) )
                | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl130,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
      ( ~ ( exists_in_world @ X18 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
              | ( (~) @ ( seat @ X4 @ '#sk1' ) )
              | ( (~) @ ( front @ X4 @ '#sk1' ) )
              | ( (~) @ ( city @ X6 @ '#sk1' ) )
              | ( (~) @ ( street @ X10 @ '#sk1' ) )
              | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
              | ( (~) @ ( car @ X12 @ '#sk1' ) )
              | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
              | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
              | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
              | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
              | ( (~) @ ( young @ X14 @ '#sk1' ) )
              | ( (~) @ ( man @ X16 @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
              | ( (~) @ ( qmltpeq @ X16 @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ Y0 @ X4 @ '#sk1' ) )
              | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
              | ( (~) @ ( young @ X16 @ '#sk1' ) )
              | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
              | ( (~) @ ( man @ X14 @ '#sk1' ) )
              | ( qmltpeq @ X14 @ X16 @ '#sk1' )
              | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
              | ( (~) @ ( old @ X12 @ '#sk1' ) )
              | ( (~) @ ( white @ X12 @ '#sk1' ) )
              | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
              | ( (~) @ ( way @ X10 @ '#sk1' ) )
              | ( (~) @ ( event @ X8 @ '#sk1' ) )
              | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
              | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
              | ( (~) @ ( front @ X2 @ '#sk1' ) )
              | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) ) )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl125]) ).

thf(zip_derived_cl135,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ( ( exists_in_world @ X20 @ '#sk1' )
       => ( ( (~) @ ( furniture @ X2 @ '#sk1' ) )
          | ( (~) @ ( seat @ X4 @ '#sk1' ) )
          | ( (~) @ ( front @ X4 @ '#sk1' ) )
          | ( (~) @ ( city @ X6 @ '#sk1' ) )
          | ( (~) @ ( street @ X10 @ '#sk1' ) )
          | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
          | ( (~) @ ( car @ X12 @ '#sk1' ) )
          | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
          | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
          | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
          | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
          | ( (~) @ ( young @ X14 @ '#sk1' ) )
          | ( (~) @ ( man @ X16 @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
          | ( (~) @ ( qmltpeq @ X16 @ X20 @ '#sk1' ) )
          | ( (~) @ ( in @ X20 @ X4 @ '#sk1' ) )
          | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
          | ( (~) @ ( young @ X16 @ '#sk1' ) )
          | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
          | ( (~) @ ( man @ X14 @ '#sk1' ) )
          | ( qmltpeq @ X14 @ X16 @ '#sk1' )
          | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
          | ( (~) @ ( old @ X12 @ '#sk1' ) )
          | ( (~) @ ( white @ X12 @ '#sk1' ) )
          | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
          | ( (~) @ ( way @ X10 @ '#sk1' ) )
          | ( (~) @ ( event @ X8 @ '#sk1' ) )
          | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
          | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
          | ( (~) @ ( front @ X2 @ '#sk1' ) )
          | ( (~) @ ( seat @ X2 @ '#sk1' ) ) ) )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X18 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl140,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ~ ( exists_in_world @ X20 @ '#sk1' )
      | ( (~) @ ( furniture @ X2 @ '#sk1' ) )
      | ( (~) @ ( seat @ X4 @ '#sk1' ) )
      | ( (~) @ ( front @ X4 @ '#sk1' ) )
      | ( (~) @ ( city @ X6 @ '#sk1' ) )
      | ( (~) @ ( street @ X10 @ '#sk1' ) )
      | ( (~) @ ( lonely @ X10 @ '#sk1' ) )
      | ( (~) @ ( car @ X12 @ '#sk1' ) )
      | ( (~) @ ( dirty @ X12 @ '#sk1' ) )
      | ( (~) @ ( barrel @ X8 @ X12 @ '#sk1' ) )
      | ( (~) @ ( in @ X8 @ X6 @ '#sk1' ) )
      | ( (~) @ ( fellow @ X14 @ '#sk1' ) )
      | ( (~) @ ( young @ X14 @ '#sk1' ) )
      | ( (~) @ ( man @ X16 @ '#sk1' ) )
      | ( (~) @ ( qmltpeq @ X14 @ X18 @ '#sk1' ) )
      | ( (~) @ ( qmltpeq @ X16 @ X20 @ '#sk1' ) )
      | ( (~) @ ( in @ X20 @ X4 @ '#sk1' ) )
      | ( (~) @ ( in @ X18 @ X2 @ '#sk1' ) )
      | ( (~) @ ( young @ X16 @ '#sk1' ) )
      | ( (~) @ ( fellow @ X16 @ '#sk1' ) )
      | ( (~) @ ( man @ X14 @ '#sk1' ) )
      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
      | ( (~) @ ( down @ X8 @ X10 @ '#sk1' ) )
      | ( (~) @ ( old @ X12 @ '#sk1' ) )
      | ( (~) @ ( white @ X12 @ '#sk1' ) )
      | ( (~) @ ( chevy @ X12 @ '#sk1' ) )
      | ( (~) @ ( way @ X10 @ '#sk1' ) )
      | ( (~) @ ( event @ X8 @ '#sk1' ) )
      | ( (~) @ ( hollywood @ X6 @ '#sk1' ) )
      | ( (~) @ ( furniture @ X4 @ '#sk1' ) )
      | ( (~) @ ( front @ X2 @ '#sk1' ) )
      | ( (~) @ ( seat @ X2 @ '#sk1' ) )
      | ~ ( exists_in_world @ X18 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl175,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
      ( ~ ( furniture @ X2 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( city @ X6 @ '#sk1' )
      | ~ ( street @ X10 @ '#sk1' )
      | ~ ( lonely @ X10 @ '#sk1' )
      | ~ ( car @ X12 @ '#sk1' )
      | ~ ( dirty @ X12 @ '#sk1' )
      | ~ ( barrel @ X8 @ X12 @ '#sk1' )
      | ~ ( in @ X8 @ X6 @ '#sk1' )
      | ~ ( fellow @ X14 @ '#sk1' )
      | ~ ( young @ X14 @ '#sk1' )
      | ~ ( man @ X16 @ '#sk1' )
      | ~ ( qmltpeq @ X14 @ X18 @ '#sk1' )
      | ~ ( qmltpeq @ X16 @ X20 @ '#sk1' )
      | ~ ( in @ X20 @ X4 @ '#sk1' )
      | ~ ( in @ X18 @ X2 @ '#sk1' )
      | ~ ( young @ X16 @ '#sk1' )
      | ~ ( fellow @ X16 @ '#sk1' )
      | ~ ( man @ X14 @ '#sk1' )
      | ( qmltpeq @ X14 @ X16 @ '#sk1' )
      | ~ ( down @ X8 @ X10 @ '#sk1' )
      | ~ ( old @ X12 @ '#sk1' )
      | ~ ( white @ X12 @ '#sk1' )
      | ~ ( chevy @ X12 @ '#sk1' )
      | ~ ( way @ X10 @ '#sk1' )
      | ~ ( event @ X8 @ '#sk1' )
      | ~ ( hollywood @ X6 @ '#sk1' )
      | ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | '#form2'
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' )
      | ~ ( exists_in_world @ X18 @ '#sk1' )
      | ~ ( exists_in_world @ X20 @ '#sk1' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl868,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu,X7: mu] :
      ( '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X7 @ '#sk1' )
      | '#form2'
      | ~ ( seat @ X7 @ '#sk1' )
      | ~ ( front @ X7 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( hollywood @ X5 @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( down @ '#sk9' @ X4 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X7 @ '#sk1' )
      | ~ ( in @ X0 @ X6 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( in @ '#sk9' @ X5 @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( city @ X5 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( furniture @ X7 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl175]) ).

thf(zip_derived_cl869,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu,X7: mu] :
      ( ~ ( furniture @ X7 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( city @ X5 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( in @ '#sk9' @ X5 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X6 @ '#sk1' )
      | ~ ( in @ X1 @ X7 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X4 @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( hollywood @ X5 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( front @ X7 @ '#sk1' )
      | ~ ( seat @ X7 @ '#sk1' )
      | ~ ( exists_in_world @ X7 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl868]) ).

thf(zip_derived_cl926,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu] :
      ( '#form2'
      | '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( furniture @ X5 @ '#sk1' )
      | ~ ( hollywood @ '#sk7' @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( down @ '#sk9' @ X4 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X6 @ '#sk1' )
      | ~ ( in @ X0 @ X5 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( city @ '#sk7' @ '#sk1' )
      | ~ ( front @ X5 @ '#sk1' )
      | ~ ( seat @ X5 @ '#sk1' )
      | ~ ( furniture @ X6 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl869]) ).

thf(zip_derived_cl927,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu,X6: mu] :
      ( ~ ( furniture @ X6 @ '#sk1' )
      | ~ ( seat @ X5 @ '#sk1' )
      | ~ ( front @ X5 @ '#sk1' )
      | ~ ( city @ '#sk7' @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( fellow @ X3 @ '#sk1' )
      | ~ ( young @ X3 @ '#sk1' )
      | ~ ( man @ X2 @ '#sk1' )
      | ~ ( qmltpeq @ X3 @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X2 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X5 @ '#sk1' )
      | ~ ( in @ X1 @ X6 @ '#sk1' )
      | ~ ( young @ X2 @ '#sk1' )
      | ~ ( fellow @ X2 @ '#sk1' )
      | ~ ( man @ X3 @ '#sk1' )
      | ( qmltpeq @ X3 @ X2 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X4 @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( hollywood @ '#sk7' @ '#sk1' )
      | ~ ( furniture @ X5 @ '#sk1' )
      | ~ ( front @ X6 @ '#sk1' )
      | ~ ( seat @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl926]) ).

thf(zip_derived_cl984,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( '#form2'
      | '#form2'
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( hollywood @ '#sk7' @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( down @ '#sk9' @ X2 @ '#sk1' )
      | ( qmltpeq @ '#sk15' @ X1 @ '#sk1' )
      | ~ ( man @ '#sk15' @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X4 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( young @ '#sk15' @ '#sk1' )
      | ~ ( fellow @ '#sk15' @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( city @ '#sk7' @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( furniture @ X4 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl927]) ).

thf(zip_derived_cl1001,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( city @ '#sk7' @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( fellow @ '#sk15' @ '#sk1' )
      | ~ ( young @ '#sk15' @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X4 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ~ ( man @ '#sk15' @ '#sk1' )
      | ( qmltpeq @ '#sk15' @ X1 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X2 @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( hollywood @ '#sk7' @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl984]) ).

thf(zip_derived_cl4165_028,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4227,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( city @ '#sk7' @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( car @ '#sk11' @ '#sk1' )
      | ~ ( dirty @ '#sk11' @ '#sk1' )
      | ~ ( fellow @ '#sk15' @ '#sk1' )
      | ~ ( young @ '#sk15' @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X4 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ~ ( man @ '#sk15' @ '#sk1' )
      | ( qmltpeq @ '#sk15' @ X1 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X2 @ '#sk1' )
      | ~ ( old @ '#sk11' @ '#sk1' )
      | ~ ( white @ '#sk11' @ '#sk1' )
      | ~ ( chevy @ '#sk11' @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( event @ '#sk9' @ '#sk1' )
      | ~ ( hollywood @ '#sk7' @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk11' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk15' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl1001,zip_derived_cl4165]) ).

thf(zip_derived_cl147,plain,
    ( ( city @ '#sk7' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_029,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4179,plain,
    city @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl4165]) ).

thf(zip_derived_cl169,plain,
    ( ( car @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_030,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4201,plain,
    car @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl4165]) ).

thf(zip_derived_cl168,plain,
    ( ( dirty @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_031,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4200,plain,
    dirty @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl4165]) ).

thf(zip_derived_cl154,plain,
    ( ( fellow @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_032,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4186,plain,
    fellow @ '#sk15' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl4165]) ).

thf(zip_derived_cl155,plain,
    ( ( young @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_033,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4187,plain,
    young @ '#sk15' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl4165]) ).

thf(zip_derived_cl163,plain,
    ( ( man @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_034,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4195,plain,
    man @ '#sk15' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl4165]) ).

thf(zip_derived_cl150,plain,
    ( ( old @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_035,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4182,plain,
    old @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl4165]) ).

thf(zip_derived_cl149,plain,
    ( ( white @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_036,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4181,plain,
    white @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl4165]) ).

thf(zip_derived_cl148,plain,
    ( ( chevy @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_037,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4180,plain,
    chevy @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl4165]) ).

thf(zip_derived_cl170,plain,
    ( ( event @ '#sk9' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_038,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4202,plain,
    event @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl4165]) ).

thf(zip_derived_cl171,plain,
    ( ( hollywood @ '#sk7' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_039,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4203,plain,
    hollywood @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl4165]) ).

thf(zip_derived_cl68,plain,
    ( ( exists_in_world @ '#sk7' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl4165_040,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4168,plain,
    exists_in_world @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl4165]) ).

thf(zip_derived_cl78,plain,
    ( ( exists_in_world @ '#sk9' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl4165_041,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4169,plain,
    exists_in_world @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl4165]) ).

thf(zip_derived_cl88,plain,
    ( ( exists_in_world @ '#sk11' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl4165_042,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4170,plain,
    exists_in_world @ '#sk11' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl4165]) ).

thf(zip_derived_cl108_043,plain,
    ( ( exists_in_world @ '#sk15' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl4165_044,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4172,plain,
    exists_in_world @ '#sk15' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl4165]) ).

thf(zip_derived_cl5143,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( furniture @ X4 @ '#sk1' )
      | ~ ( seat @ X3 @ '#sk1' )
      | ~ ( front @ X3 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( man @ X1 @ '#sk1' )
      | ~ ( qmltpeq @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X0 @ X3 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X4 @ '#sk1' )
      | ~ ( young @ X1 @ '#sk1' )
      | ~ ( fellow @ X1 @ '#sk1' )
      | ( qmltpeq @ '#sk15' @ X1 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X2 @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( furniture @ X3 @ '#sk1' )
      | ~ ( front @ X4 @ '#sk1' )
      | ~ ( seat @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl4227,zip_derived_cl4179,zip_derived_cl4201,zip_derived_cl4200,zip_derived_cl4186,zip_derived_cl4187,zip_derived_cl4195,zip_derived_cl4182,zip_derived_cl4181,zip_derived_cl4180,zip_derived_cl4202,zip_derived_cl4203,zip_derived_cl4168,zip_derived_cl4169,zip_derived_cl4170,zip_derived_cl4172]) ).

thf(zip_derived_cl5153,plain,
    ! [X0: mu,X1: mu,X2: mu] :
      ( ~ ( exists_in_world @ '#sk21' @ '#sk1' )
      | ~ ( exists_in_world @ '#sk17' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X0 @ '#sk1' )
      | ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
      | ~ ( fellow @ '#sk17' @ '#sk1' )
      | ~ ( young @ '#sk17' @ '#sk1' )
      | ~ ( in @ '#sk15' @ X2 @ '#sk1' )
      | ~ ( in @ '#sk21' @ X1 @ '#sk1' )
      | ~ ( man @ '#sk17' @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( furniture @ X2 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4190,zip_derived_cl5143]) ).

thf(zip_derived_cl138,plain,
    ( ( exists_in_world @ '#sk21' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl4165_045,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4175,plain,
    exists_in_world @ '#sk21' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl4165]) ).

thf(zip_derived_cl118,plain,
    ( ( exists_in_world @ '#sk17' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl4165_046,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4173,plain,
    exists_in_world @ '#sk17' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl4165]) ).

thf(zip_derived_cl164,plain,
    ( ~ ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_047,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4196,plain,
    ~ ( qmltpeq @ '#sk15' @ '#sk17' @ '#sk1' ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl4165]) ).

thf(zip_derived_cl162,plain,
    ( ( fellow @ '#sk17' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_048,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4194,plain,
    fellow @ '#sk17' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl4165]) ).

thf(zip_derived_cl161,plain,
    ( ( young @ '#sk17' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_049,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4193,plain,
    young @ '#sk17' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl4165]) ).

thf(zip_derived_cl156,plain,
    ( ( man @ '#sk17' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_050,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4188,plain,
    man @ '#sk17' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl4165]) ).

thf(zip_derived_cl5164,plain,
    ! [X0: mu,X1: mu,X2: mu] :
      ( ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( seat @ X2 @ '#sk1' )
      | ~ ( front @ X2 @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( down @ '#sk9' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X2 @ '#sk1' )
      | ~ ( in @ '#sk21' @ X1 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( furniture @ X2 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl5153,zip_derived_cl4175,zip_derived_cl4173,zip_derived_cl4196,zip_derived_cl4194,zip_derived_cl4193,zip_derived_cl4188]) ).

thf(zip_derived_cl5169,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( furniture @ X0 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( street @ '#sk13' @ '#sk1' )
      | ~ ( lonely @ '#sk13' @ '#sk1' )
      | ~ ( in @ '#sk21' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X0 @ '#sk1' )
      | ~ ( way @ '#sk13' @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( front @ X0 @ '#sk1' )
      | ~ ( seat @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk13' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4197,zip_derived_cl5164]) ).

thf(zip_derived_cl167,plain,
    ( ( street @ '#sk13' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_051,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4199,plain,
    street @ '#sk13' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl4165]) ).

thf(zip_derived_cl166,plain,
    ( ( lonely @ '#sk13' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_052,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4198,plain,
    lonely @ '#sk13' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl4165]) ).

thf(zip_derived_cl151,plain,
    ( ( way @ '#sk13' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_053,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4183,plain,
    way @ '#sk13' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl4165]) ).

thf(zip_derived_cl98,plain,
    ( ( exists_in_world @ '#sk13' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl4165_054,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4171,plain,
    exists_in_world @ '#sk13' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl4165]) ).

thf(zip_derived_cl5170,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( furniture @ X0 @ '#sk1' )
      | ~ ( seat @ X1 @ '#sk1' )
      | ~ ( front @ X1 @ '#sk1' )
      | ~ ( in @ '#sk21' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X0 @ '#sk1' )
      | ~ ( furniture @ X1 @ '#sk1' )
      | ~ ( front @ X0 @ '#sk1' )
      | ~ ( seat @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl5169,zip_derived_cl4199,zip_derived_cl4198,zip_derived_cl4183,zip_derived_cl4171]) ).

thf(zip_derived_cl5369,plain,
    ! [X0: mu] :
      ( ~ ( exists_in_world @ '#sk5' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( seat @ X0 @ '#sk1' )
      | ~ ( front @ X0 @ '#sk1' )
      | ~ ( furniture @ '#sk5' @ '#sk1' )
      | ~ ( in @ '#sk15' @ X0 @ '#sk1' )
      | ~ ( front @ '#sk5' @ '#sk1' )
      | ~ ( seat @ '#sk5' @ '#sk1' )
      | ~ ( furniture @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4191,zip_derived_cl5170]) ).

thf(zip_derived_cl58,plain,
    ( ( exists_in_world @ '#sk5' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl4165_055,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4167,plain,
    exists_in_world @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl4165]) ).

thf(zip_derived_cl172,plain,
    ( ( furniture @ '#sk5' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_056,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4204,plain,
    furniture @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl4165]) ).

thf(zip_derived_cl146,plain,
    ( ( front @ '#sk5' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_057,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4178,plain,
    front @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl4165]) ).

thf(zip_derived_cl145,plain,
    ( ( seat @ '#sk5' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_058,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4177,plain,
    seat @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl4165]) ).

thf(zip_derived_cl5370,plain,
    ! [X0: mu] :
      ( ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( seat @ X0 @ '#sk1' )
      | ~ ( front @ X0 @ '#sk1' )
      | ~ ( in @ '#sk15' @ X0 @ '#sk1' )
      | ~ ( furniture @ X0 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl5369,zip_derived_cl4167,zip_derived_cl4204,zip_derived_cl4178,zip_derived_cl4177]) ).

thf(zip_derived_cl5501,plain,
    ( ~ ( furniture @ '#sk3' @ '#sk1' )
    | ~ ( front @ '#sk3' @ '#sk1' )
    | ~ ( seat @ '#sk3' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk3' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4378,zip_derived_cl5370]) ).

thf(zip_derived_cl144,plain,
    ( ( furniture @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_059,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4176,plain,
    furniture @ '#sk3' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl4165]) ).

thf(zip_derived_cl173,plain,
    ( ( front @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_060,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4205,plain,
    front @ '#sk3' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl4165]) ).

thf(zip_derived_cl174,plain,
    ( ( seat @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl4165_061,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4206,plain,
    seat @ '#sk3' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl4165]) ).

thf(zip_derived_cl48_062,plain,
    ( ( exists_in_world @ '#sk3' @ '#sk1' )
    | '#form2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl4165_063,plain,
    ~ '#form2',
    inference(clc,[status(thm)],[zip_derived_cl4164,zip_derived_cl102]) ).

thf(zip_derived_cl4166,plain,
    exists_in_world @ '#sk3' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl4165]) ).

thf(zip_derived_cl5502,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5501,zip_derived_cl4176,zip_derived_cl4205,zip_derived_cl4206,zip_derived_cl4166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP004^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zHPJ113lSu true
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 12:25:20 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in HO mode
% 0.20/0.61  % Total configuration time : 828
% 0.20/0.61  % Estimated wc time : 1656
% 0.20/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 22.20/3.48  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.47/4.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 31.81/4.85  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 51.32/7.25  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 88.00/11.95  % Solved by lams/15_lifting3.sh.
% 88.00/11.95  % done 888 iterations in 4.365s
% 88.00/11.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 88.00/11.95  % SZS output start Refutation
% See solution above
% 88.52/12.00  
% 88.52/12.00  
% 88.52/12.00  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 88.52/12.00  % Terminating...
% 88.52/12.11  % Runner terminated.
% 88.52/12.13  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------