TSTP Solution File: LCL946^10 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL946^10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SlNhrzA4mr true

% Computer : n028.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 09:02:43 EDT 2023

% Result   : Theorem 65.20s 9.05s
% Output   : Refutation 65.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   56
%            Number of leaves      :  335
% Syntax   : Number of formulae    :  996 (  19 unt; 142 typ;   0 def)
%            Number of atoms       : 30003 (  18 equ; 283 cnn)
%            Maximal formula atoms :  424 (  35 avg)
%            Number of connectives : 87963 (8014   ~;7894   |;5012   &;51476   @)
%                                         (   0 <=>;7563  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   67 (  23 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  209 ( 209   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  146 ( 141 usr;  26 con; 0-3 aty)
%                                         (7143  !!; 861  ??;   0 @@+;   0 @@-)
%            Number of variables   : 10842 (8079   ^;2688   !;  75   ?;10842   :)

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

thf('#form31_type',type,
    '#form31': $i > $o ).

thf('#sk23_type',type,
    '#sk23': $i > $i > mworld ).

thf('#sk71_type',type,
    '#sk71': $i > mworld ).

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

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

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

thf('#sk111_type',type,
    '#sk111': $i > $i > mworld ).

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

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

thf('#form68_type',type,
    '#form68': $i > $o ).

thf('#form82_type',type,
    '#form82': $i > $i > $o ).

thf('#form34_type',type,
    '#form34': $i > $i > $o ).

thf('#sk89_type',type,
    '#sk89': $i > mworld ).

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

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

thf('#form33_type',type,
    '#form33': $i > $i > $o ).

thf('#form96_type',type,
    '#form96': $i > $o ).

thf('#form58_type',type,
    '#form58': $i > $o ).

thf('#sk79_type',type,
    '#sk79': $i > mworld ).

thf('#sk38_type',type,
    '#sk38': $i > mworld ).

thf('#form56_type',type,
    '#form56': $i > $o ).

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

thf('#sk81_type',type,
    '#sk81': $i > $i > mworld ).

thf('#sk1_type',type,
    '#sk1': mworld ).

thf('#sk36_type',type,
    '#sk36': $i > mworld ).

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

thf('#form64_type',type,
    '#form64': $i > $o ).

thf('#form62_type',type,
    '#form62': $i > $o ).

thf('#sk63_type',type,
    '#sk63': $i > mworld ).

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

thf('#sk69_type',type,
    '#sk69': $i > mworld ).

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

thf('#form106_type',type,
    '#form106': $i > $o ).

thf('#sk93_type',type,
    '#sk93': $i > mworld ).

thf('#form4_type',type,
    '#form4': $o ).

thf(mbox_type,type,
    mbox: ( mworld > $o ) > mworld > $o ).

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

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

thf('#sk45_type',type,
    '#sk45': $i > mworld ).

thf('#form110_type',type,
    '#form110': $i > $i > $o ).

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

thf('#sk97_type',type,
    '#sk97': $i > mworld ).

thf('#form70_type',type,
    '#form70': $i > $o ).

thf('#form86_type',type,
    '#form86': $i > $o ).

thf('#sk25_type',type,
    '#sk25': $i > $i > mworld ).

thf('#sk57_type',type,
    '#sk57': $i > mworld ).

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

thf('#form102_type',type,
    '#form102': $i > $i > $o ).

thf('#form44_type',type,
    '#form44': $i > $o ).

thf('#sk30_type',type,
    '#sk30': $i > mworld ).

thf('#sk28_type',type,
    '#sk28': $i > $i > mworld ).

thf('#sk107_type',type,
    '#sk107': $i > mworld ).

thf(mactual_type,type,
    mactual: mworld ).

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

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

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

thf('#sk53_type',type,
    '#sk53': $i > mworld ).

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

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

thf('#form29_type',type,
    '#form29': $i > $o ).

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

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

thf('#sk26_type',type,
    '#sk26': mworld > mworld ).

thf('#sk65_type',type,
    '#sk65': $i > mworld ).

thf('#form84_type',type,
    '#form84': $i > $o ).

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

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

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

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

thf('#form90_type',type,
    '#form90': $i > $o ).

thf('#form40_type',type,
    '#form40': $i > $o ).

thf('#sk85_type',type,
    '#sk85': $i > mworld ).

thf('#sk47_type',type,
    '#sk47': $i > mworld ).

thf('#form98_type',type,
    '#form98': $i > $o ).

thf('#sk91_type',type,
    '#sk91': $i > mworld ).

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

thf('#sk49_type',type,
    '#sk49': $i > mworld ).

thf('#sk99_type',type,
    '#sk99': $i > mworld ).

thf('#form72_type',type,
    '#form72': $i > $o ).

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

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

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

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

thf('#form78_type',type,
    '#form78': $i > $o ).

thf('#sk41_type',type,
    '#sk41': $i > mworld ).

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

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

thf('#sk95_type',type,
    '#sk95': $i > mworld ).

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

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

thf('#form66_type',type,
    '#form66': $i > $o ).

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

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

thf('#form94_type',type,
    '#form94': $i > $o ).

thf('#form48_type',type,
    '#form48': $i > $o ).

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

thf('#sk75_type',type,
    '#sk75': $i > mworld ).

thf('#sk77_type',type,
    '#sk77': $i > mworld ).

thf('#sk87_type',type,
    '#sk87': $i > mworld ).

thf('#form39_type',type,
    '#form39': $i > $i > $o ).

thf('#form104_type',type,
    '#form104': $i > $o ).

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

thf('#sk2_type',type,
    '#sk2': mworld ).

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

thf('#sk105_type',type,
    '#sk105': $i > mworld ).

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

thf('#form54_type',type,
    '#form54': $i > $o ).

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

thf('#form100_type',type,
    '#form100': $i > $i > $o ).

thf('#sk22_type',type,
    '#sk22': $i > $i > mworld ).

thf('#form52_type',type,
    '#form52': $i > $o ).

thf('#sk59_type',type,
    '#sk59': $i > mworld ).

thf(mrel_type,type,
    mrel: mworld > mworld > $o ).

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

thf('#form92_type',type,
    '#form92': $i > $o ).

thf('#form27_type',type,
    '#form27': $i > $i > $o ).

thf('#form80_type',type,
    '#form80': $i > $i > $o ).

thf('#sk61_type',type,
    '#sk61': $i > mworld ).

thf('#sk109_type',type,
    '#sk109': $i > $i > mworld ).

thf('#sk73_type',type,
    '#sk73': $i > mworld ).

thf('#form74_type',type,
    '#form74': $i > $o ).

thf('#sk103_type',type,
    '#sk103': $i > $i > mworld ).

thf('#sk24_type',type,
    '#sk24': mworld > mworld ).

thf('#form108_type',type,
    '#form108': $i > $i > $o ).

thf('#form35_type',type,
    '#form35': $i > $o ).

thf('#form76_type',type,
    '#form76': $i > $o ).

thf('#sk55_type',type,
    '#sk55': $i > mworld ).

thf('#form46_type',type,
    '#form46': $i > $o ).

thf('#form60_type',type,
    '#form60': $i > $o ).

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

thf('#sk32_type',type,
    '#sk32': $i > mworld ).

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

thf('#sk43_type',type,
    '#sk43': $i > mworld ).

thf('#sk101_type',type,
    '#sk101': $i > $i > mworld ).

thf('#form50_type',type,
    '#form50': $i > $o ).

thf('#sk51_type',type,
    '#sk51': $i > mworld ).

thf('#sk67_type',type,
    '#sk67': $i > mworld ).

thf('#form42_type',type,
    '#form42': $i > $o ).

thf('#sk83_type',type,
    '#sk83': $i > $i > mworld ).

thf('#form88_type',type,
    '#form88': $i > $o ).

thf('#form37_type',type,
    '#form37': $i > $o ).

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

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

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

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('3',plain,
    ( mbox
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

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

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

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

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

thf('6',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('7',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

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

thf('8',plain,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).

thf('9',plain,
    ( mnot
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

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

thf('10',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('11',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(co1,conjecture,
    ( mlocal
    @ ( mand
      @ ( mbox
        @ ( mimplies
          @ ( mexists_di
            @ ^ [U: $i] :
                ( mexists_di
                @ ^ [V: $i] :
                    ( mexists_di
                    @ ^ [W: $i] :
                        ( mexists_di
                        @ ^ [X: $i] :
                            ( mexists_di
                            @ ^ [Y: $i] :
                                ( mexists_di
                                @ ^ [Z: $i] :
                                    ( mexists_di
                                    @ ^ [X1: $i] :
                                        ( mexists_di
                                        @ ^ [X2: $i] :
                                            ( mexists_di
                                            @ ^ [X3: $i] : ( mand @ ( mbox @ ( hollywood @ U ) ) @ ( mand @ ( mbox @ ( city @ U ) ) @ ( mand @ ( mbox @ ( event @ V ) ) @ ( mand @ ( mbox @ ( street @ W ) ) @ ( mand @ ( mbox @ ( way @ W ) ) @ ( mand @ ( mbox @ ( lonely @ W ) ) @ ( mand @ ( mbox @ ( chevy @ X ) ) @ ( mand @ ( mbox @ ( car @ X ) ) @ ( mand @ ( mbox @ ( white @ X ) ) @ ( mand @ ( mbox @ ( dirty @ X ) ) @ ( mand @ ( mbox @ ( old @ X ) ) @ ( mand @ ( mbox @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox @ ( down @ V @ W ) ) @ ( mand @ ( mbox @ ( in @ V @ U ) ) @ ( mand @ ( mbox @ ( seat @ X1 ) ) @ ( mand @ ( mbox @ ( furniture @ X1 ) ) @ ( mand @ ( mbox @ ( front @ X1 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ Y ) ) @ ( mand @ ( mbox @ ( man @ Y ) ) @ ( mand @ ( mbox @ ( young @ Y ) ) @ ( mand @ ( mbox @ ( fellow @ Z ) ) @ ( mand @ ( mbox @ ( man @ Z ) ) @ ( mand @ ( mbox @ ( young @ Z ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Y @ X2 ) ) @ ( mand @ ( mbox @ ( in @ X2 @ X1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Z @ X3 ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X4: $i] :
                ( mexists_di
                @ ^ [X5: $i] :
                    ( mexists_di
                    @ ^ [X6: $i] :
                        ( mexists_di
                        @ ^ [X7: $i] :
                            ( mexists_di
                            @ ^ [X8: $i] :
                                ( mexists_di
                                @ ^ [X9: $i] :
                                    ( mexists_di
                                    @ ^ [X10: $i] :
                                        ( mexists_di
                                        @ ^ [X11: $i] :
                                            ( mexists_di
                                            @ ^ [X12: $i] : ( mand @ ( mbox @ ( hollywood @ X4 ) ) @ ( mand @ ( mbox @ ( city @ X4 ) ) @ ( mand @ ( mbox @ ( event @ X5 ) ) @ ( mand @ ( mbox @ ( chevy @ X6 ) ) @ ( mand @ ( mbox @ ( car @ X6 ) ) @ ( mand @ ( mbox @ ( white @ X6 ) ) @ ( mand @ ( mbox @ ( dirty @ X6 ) ) @ ( mand @ ( mbox @ ( old @ X6 ) ) @ ( mand @ ( mbox @ ( street @ X7 ) ) @ ( mand @ ( mbox @ ( way @ X7 ) ) @ ( mand @ ( mbox @ ( lonely @ X7 ) ) @ ( mand @ ( mbox @ ( barrel @ X5 @ X6 ) ) @ ( mand @ ( mbox @ ( down @ X5 @ X7 ) ) @ ( mand @ ( mbox @ ( in @ X5 @ X4 ) ) @ ( mand @ ( mbox @ ( seat @ X10 ) ) @ ( mand @ ( mbox @ ( furniture @ X10 ) ) @ ( mand @ ( mbox @ ( front @ X10 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X8 @ X9 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X8 ) ) @ ( mand @ ( mbox @ ( man @ X8 ) ) @ ( mand @ ( mbox @ ( young @ X8 ) ) @ ( mand @ ( mbox @ ( fellow @ X9 ) ) @ ( mand @ ( mbox @ ( man @ X9 ) ) @ ( mand @ ( mbox @ ( young @ X9 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X8 @ X11 ) ) @ ( mand @ ( mbox @ ( in @ X11 @ X10 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X9 @ X12 ) ) @ ( mbox @ ( in @ X12 @ X10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mbox
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X13: $i] :
                ( mexists_di
                @ ^ [X14: $i] :
                    ( mexists_di
                    @ ^ [X15: $i] :
                        ( mexists_di
                        @ ^ [X16: $i] :
                            ( mexists_di
                            @ ^ [X17: $i] :
                                ( mexists_di
                                @ ^ [X18: $i] :
                                    ( mexists_di
                                    @ ^ [X19: $i] :
                                        ( mexists_di
                                        @ ^ [X20: $i] :
                                            ( mexists_di
                                            @ ^ [X21: $i] : ( mand @ ( mbox @ ( hollywood @ X13 ) ) @ ( mand @ ( mbox @ ( city @ X13 ) ) @ ( mand @ ( mbox @ ( event @ X14 ) ) @ ( mand @ ( mbox @ ( chevy @ X15 ) ) @ ( mand @ ( mbox @ ( car @ X15 ) ) @ ( mand @ ( mbox @ ( white @ X15 ) ) @ ( mand @ ( mbox @ ( dirty @ X15 ) ) @ ( mand @ ( mbox @ ( old @ X15 ) ) @ ( mand @ ( mbox @ ( street @ X16 ) ) @ ( mand @ ( mbox @ ( way @ X16 ) ) @ ( mand @ ( mbox @ ( lonely @ X16 ) ) @ ( mand @ ( mbox @ ( barrel @ X14 @ X15 ) ) @ ( mand @ ( mbox @ ( down @ X14 @ X16 ) ) @ ( mand @ ( mbox @ ( in @ X14 @ X13 ) ) @ ( mand @ ( mbox @ ( seat @ X19 ) ) @ ( mand @ ( mbox @ ( furniture @ X19 ) ) @ ( mand @ ( mbox @ ( front @ X19 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X17 @ X18 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X17 ) ) @ ( mand @ ( mbox @ ( man @ X17 ) ) @ ( mand @ ( mbox @ ( young @ X17 ) ) @ ( mand @ ( mbox @ ( fellow @ X18 ) ) @ ( mand @ ( mbox @ ( man @ X18 ) ) @ ( mand @ ( mbox @ ( young @ X18 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X17 @ X20 ) ) @ ( mand @ ( mbox @ ( in @ X20 @ X19 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X18 @ X21 ) ) @ ( mbox @ ( in @ X21 @ X19 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [X22: $i] :
                ( mexists_di
                @ ^ [X23: $i] :
                    ( mexists_di
                    @ ^ [X24: $i] :
                        ( mexists_di
                        @ ^ [X25: $i] :
                            ( mexists_di
                            @ ^ [X26: $i] :
                                ( mexists_di
                                @ ^ [X27: $i] :
                                    ( mexists_di
                                    @ ^ [X28: $i] :
                                        ( mexists_di
                                        @ ^ [X29: $i] :
                                            ( mexists_di
                                            @ ^ [X30: $i] : ( mand @ ( mbox @ ( hollywood @ X22 ) ) @ ( mand @ ( mbox @ ( city @ X22 ) ) @ ( mand @ ( mbox @ ( event @ X23 ) ) @ ( mand @ ( mbox @ ( street @ X24 ) ) @ ( mand @ ( mbox @ ( way @ X24 ) ) @ ( mand @ ( mbox @ ( lonely @ X24 ) ) @ ( mand @ ( mbox @ ( chevy @ X25 ) ) @ ( mand @ ( mbox @ ( car @ X25 ) ) @ ( mand @ ( mbox @ ( white @ X25 ) ) @ ( mand @ ( mbox @ ( dirty @ X25 ) ) @ ( mand @ ( mbox @ ( old @ X25 ) ) @ ( mand @ ( mbox @ ( barrel @ X23 @ X25 ) ) @ ( mand @ ( mbox @ ( down @ X23 @ X24 ) ) @ ( mand @ ( mbox @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox @ ( seat @ X28 ) ) @ ( mand @ ( mbox @ ( furniture @ X28 ) ) @ ( mand @ ( mbox @ ( front @ X28 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X26 @ X27 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X26 ) ) @ ( mand @ ( mbox @ ( man @ X26 ) ) @ ( mand @ ( mbox @ ( young @ X26 ) ) @ ( mand @ ( mbox @ ( fellow @ X27 ) ) @ ( mand @ ( mbox @ ( man @ X27 ) ) @ ( mand @ ( mbox @ ( young @ X27 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X26 @ X29 ) ) @ ( mand @ ( mbox @ ( in @ X29 @ X28 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X27 @ X30 ) ) @ ( mbox @ ( in @ X30 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( ? [X6: $i] :
              ( ( eiw_di @ X6 @ X4 )
              & ? [X8: $i] :
                  ( ( eiw_di @ X8 @ X4 )
                  & ? [X10: $i] :
                      ( ( eiw_di @ X10 @ X4 )
                      & ? [X12: $i] :
                          ( ( eiw_di @ X12 @ X4 )
                          & ? [X14: $i] :
                              ( ( eiw_di @ X14 @ X4 )
                              & ? [X16: $i] :
                                  ( ( eiw_di @ X16 @ X4 )
                                  & ? [X18: $i] :
                                      ( ( eiw_di @ X18 @ X4 )
                                      & ? [X20: $i] :
                                          ( ( eiw_di @ X20 @ X4 )
                                          & ? [X22: $i] :
                                              ( ( eiw_di @ X22 @ X4 )
                                              & ! [X80: mworld] :
                                                  ( ( mrel @ X4 @ X80 )
                                                 => ( in @ X22 @ X18 @ X80 ) )
                                              & ! [X78: mworld] :
                                                  ( ( mrel @ X4 @ X78 )
                                                 => ( qmltpeq @ X16 @ X22 @ X78 ) )
                                              & ! [X76: mworld] :
                                                  ( ( mrel @ X4 @ X76 )
                                                 => ( in @ X20 @ X18 @ X76 ) )
                                              & ! [X74: mworld] :
                                                  ( ( mrel @ X4 @ X74 )
                                                 => ( qmltpeq @ X14 @ X20 @ X74 ) )
                                              & ! [X72: mworld] :
                                                  ( ( mrel @ X4 @ X72 )
                                                 => ( young @ X16 @ X72 ) )
                                              & ! [X70: mworld] :
                                                  ( ( mrel @ X4 @ X70 )
                                                 => ( man @ X16 @ X70 ) )
                                              & ! [X68: mworld] :
                                                  ( ( mrel @ X4 @ X68 )
                                                 => ( fellow @ X16 @ X68 ) )
                                              & ! [X66: mworld] :
                                                  ( ( mrel @ X4 @ X66 )
                                                 => ( young @ X14 @ X66 ) )
                                              & ! [X64: mworld] :
                                                  ( ( mrel @ X4 @ X64 )
                                                 => ( man @ X14 @ X64 ) )
                                              & ! [X62: mworld] :
                                                  ( ( mrel @ X4 @ X62 )
                                                 => ( fellow @ X14 @ X62 ) )
                                              & ! [X58: mworld] :
                                                  ( ( mrel @ X4 @ X58 )
                                                 => ~ ! [X60: mworld] :
                                                        ( ( mrel @ X58 @ X60 )
                                                       => ( qmltpeq @ X14 @ X16 @ X60 ) ) )
                                              & ! [X56: mworld] :
                                                  ( ( mrel @ X4 @ X56 )
                                                 => ( front @ X18 @ X56 ) )
                                              & ! [X54: mworld] :
                                                  ( ( mrel @ X4 @ X54 )
                                                 => ( furniture @ X18 @ X54 ) )
                                              & ! [X52: mworld] :
                                                  ( ( mrel @ X4 @ X52 )
                                                 => ( seat @ X18 @ X52 ) )
                                              & ! [X50: mworld] :
                                                  ( ( mrel @ X4 @ X50 )
                                                 => ( in @ X8 @ X6 @ X50 ) )
                                              & ! [X48: mworld] :
                                                  ( ( mrel @ X4 @ X48 )
                                                 => ( down @ X8 @ X10 @ X48 ) )
                                              & ! [X46: mworld] :
                                                  ( ( mrel @ X4 @ X46 )
                                                 => ( barrel @ X8 @ X12 @ X46 ) )
                                              & ! [X44: mworld] :
                                                  ( ( mrel @ X4 @ X44 )
                                                 => ( old @ X12 @ X44 ) )
                                              & ! [X42: mworld] :
                                                  ( ( mrel @ X4 @ X42 )
                                                 => ( dirty @ X12 @ X42 ) )
                                              & ! [X40: mworld] :
                                                  ( ( mrel @ X4 @ X40 )
                                                 => ( white @ X12 @ X40 ) )
                                              & ! [X38: mworld] :
                                                  ( ( mrel @ X4 @ X38 )
                                                 => ( car @ X12 @ X38 ) )
                                              & ! [X36: mworld] :
                                                  ( ( mrel @ X4 @ X36 )
                                                 => ( chevy @ X12 @ X36 ) )
                                              & ! [X34: mworld] :
                                                  ( ( mrel @ X4 @ X34 )
                                                 => ( lonely @ X10 @ X34 ) )
                                              & ! [X32: mworld] :
                                                  ( ( mrel @ X4 @ X32 )
                                                 => ( way @ X10 @ X32 ) )
                                              & ! [X30: mworld] :
                                                  ( ( mrel @ X4 @ X30 )
                                                 => ( street @ X10 @ X30 ) )
                                              & ! [X28: mworld] :
                                                  ( ( mrel @ X4 @ X28 )
                                                 => ( event @ X8 @ X28 ) )
                                              & ! [X26: mworld] :
                                                  ( ( mrel @ X4 @ X26 )
                                                 => ( city @ X6 @ X26 ) )
                                              & ! [X24: mworld] :
                                                  ( ( mrel @ X4 @ X24 )
                                                 => ( hollywood @ X6 @ X24 ) ) ) ) ) ) ) ) ) ) )
         => ? [X82: $i] :
              ( ( eiw_di @ X82 @ X4 )
              & ? [X84: $i] :
                  ( ( eiw_di @ X84 @ X4 )
                  & ? [X86: $i] :
                      ( ( eiw_di @ X86 @ X4 )
                      & ? [X88: $i] :
                          ( ( eiw_di @ X88 @ X4 )
                          & ? [X90: $i] :
                              ( ( eiw_di @ X90 @ X4 )
                              & ? [X92: $i] :
                                  ( ( eiw_di @ X92 @ X4 )
                                  & ? [X94: $i] :
                                      ( ( eiw_di @ X94 @ X4 )
                                      & ? [X96: $i] :
                                          ( ( eiw_di @ X96 @ X4 )
                                          & ? [X98: $i] :
                                              ( ( eiw_di @ X98 @ X4 )
                                              & ! [X156: mworld] :
                                                  ( ( mrel @ X4 @ X156 )
                                                 => ( in @ X98 @ X94 @ X156 ) )
                                              & ! [X154: mworld] :
                                                  ( ( mrel @ X4 @ X154 )
                                                 => ( qmltpeq @ X92 @ X98 @ X154 ) )
                                              & ! [X152: mworld] :
                                                  ( ( mrel @ X4 @ X152 )
                                                 => ( in @ X96 @ X94 @ X152 ) )
                                              & ! [X150: mworld] :
                                                  ( ( mrel @ X4 @ X150 )
                                                 => ( qmltpeq @ X90 @ X96 @ X150 ) )
                                              & ! [X148: mworld] :
                                                  ( ( mrel @ X4 @ X148 )
                                                 => ( young @ X92 @ X148 ) )
                                              & ! [X146: mworld] :
                                                  ( ( mrel @ X4 @ X146 )
                                                 => ( man @ X92 @ X146 ) )
                                              & ! [X144: mworld] :
                                                  ( ( mrel @ X4 @ X144 )
                                                 => ( fellow @ X92 @ X144 ) )
                                              & ! [X142: mworld] :
                                                  ( ( mrel @ X4 @ X142 )
                                                 => ( young @ X90 @ X142 ) )
                                              & ! [X140: mworld] :
                                                  ( ( mrel @ X4 @ X140 )
                                                 => ( man @ X90 @ X140 ) )
                                              & ! [X138: mworld] :
                                                  ( ( mrel @ X4 @ X138 )
                                                 => ( fellow @ X90 @ X138 ) )
                                              & ! [X134: mworld] :
                                                  ( ( mrel @ X4 @ X134 )
                                                 => ~ ! [X136: mworld] :
                                                        ( ( mrel @ X134 @ X136 )
                                                       => ( qmltpeq @ X90 @ X92 @ X136 ) ) )
                                              & ! [X132: mworld] :
                                                  ( ( mrel @ X4 @ X132 )
                                                 => ( front @ X94 @ X132 ) )
                                              & ! [X130: mworld] :
                                                  ( ( mrel @ X4 @ X130 )
                                                 => ( furniture @ X94 @ X130 ) )
                                              & ! [X128: mworld] :
                                                  ( ( mrel @ X4 @ X128 )
                                                 => ( seat @ X94 @ X128 ) )
                                              & ! [X126: mworld] :
                                                  ( ( mrel @ X4 @ X126 )
                                                 => ( in @ X84 @ X82 @ X126 ) )
                                              & ! [X124: mworld] :
                                                  ( ( mrel @ X4 @ X124 )
                                                 => ( down @ X84 @ X88 @ X124 ) )
                                              & ! [X122: mworld] :
                                                  ( ( mrel @ X4 @ X122 )
                                                 => ( barrel @ X84 @ X86 @ X122 ) )
                                              & ! [X120: mworld] :
                                                  ( ( mrel @ X4 @ X120 )
                                                 => ( lonely @ X88 @ X120 ) )
                                              & ! [X118: mworld] :
                                                  ( ( mrel @ X4 @ X118 )
                                                 => ( way @ X88 @ X118 ) )
                                              & ! [X116: mworld] :
                                                  ( ( mrel @ X4 @ X116 )
                                                 => ( street @ X88 @ X116 ) )
                                              & ! [X114: mworld] :
                                                  ( ( mrel @ X4 @ X114 )
                                                 => ( old @ X86 @ X114 ) )
                                              & ! [X112: mworld] :
                                                  ( ( mrel @ X4 @ X112 )
                                                 => ( dirty @ X86 @ X112 ) )
                                              & ! [X110: mworld] :
                                                  ( ( mrel @ X4 @ X110 )
                                                 => ( white @ X86 @ X110 ) )
                                              & ! [X108: mworld] :
                                                  ( ( mrel @ X4 @ X108 )
                                                 => ( car @ X86 @ X108 ) )
                                              & ! [X106: mworld] :
                                                  ( ( mrel @ X4 @ X106 )
                                                 => ( chevy @ X86 @ X106 ) )
                                              & ! [X104: mworld] :
                                                  ( ( mrel @ X4 @ X104 )
                                                 => ( event @ X84 @ X104 ) )
                                              & ! [X102: mworld] :
                                                  ( ( mrel @ X4 @ X102 )
                                                 => ( city @ X82 @ X102 ) )
                                              & ! [X100: mworld] :
                                                  ( ( mrel @ X4 @ X100 )
                                                 => ( hollywood @ X82 @ X100 ) ) ) ) ) ) ) ) ) ) ) ) )
    & ! [X158: mworld] :
        ( ( mrel @ mactual @ X158 )
       => ( ? [X160: $i] :
              ( ( eiw_di @ X160 @ X158 )
              & ? [X162: $i] :
                  ( ( eiw_di @ X162 @ X158 )
                  & ? [X164: $i] :
                      ( ( eiw_di @ X164 @ X158 )
                      & ? [X166: $i] :
                          ( ( eiw_di @ X166 @ X158 )
                          & ? [X168: $i] :
                              ( ( eiw_di @ X168 @ X158 )
                              & ? [X170: $i] :
                                  ( ( eiw_di @ X170 @ X158 )
                                  & ? [X172: $i] :
                                      ( ( eiw_di @ X172 @ X158 )
                                      & ? [X174: $i] :
                                          ( ( eiw_di @ X174 @ X158 )
                                          & ? [X176: $i] :
                                              ( ( eiw_di @ X176 @ X158 )
                                              & ! [X234: mworld] :
                                                  ( ( mrel @ X158 @ X234 )
                                                 => ( in @ X176 @ X172 @ X234 ) )
                                              & ! [X232: mworld] :
                                                  ( ( mrel @ X158 @ X232 )
                                                 => ( qmltpeq @ X170 @ X176 @ X232 ) )
                                              & ! [X230: mworld] :
                                                  ( ( mrel @ X158 @ X230 )
                                                 => ( in @ X174 @ X172 @ X230 ) )
                                              & ! [X228: mworld] :
                                                  ( ( mrel @ X158 @ X228 )
                                                 => ( qmltpeq @ X168 @ X174 @ X228 ) )
                                              & ! [X226: mworld] :
                                                  ( ( mrel @ X158 @ X226 )
                                                 => ( young @ X170 @ X226 ) )
                                              & ! [X224: mworld] :
                                                  ( ( mrel @ X158 @ X224 )
                                                 => ( man @ X170 @ X224 ) )
                                              & ! [X222: mworld] :
                                                  ( ( mrel @ X158 @ X222 )
                                                 => ( fellow @ X170 @ X222 ) )
                                              & ! [X220: mworld] :
                                                  ( ( mrel @ X158 @ X220 )
                                                 => ( young @ X168 @ X220 ) )
                                              & ! [X218: mworld] :
                                                  ( ( mrel @ X158 @ X218 )
                                                 => ( man @ X168 @ X218 ) )
                                              & ! [X216: mworld] :
                                                  ( ( mrel @ X158 @ X216 )
                                                 => ( fellow @ X168 @ X216 ) )
                                              & ! [X212: mworld] :
                                                  ( ( mrel @ X158 @ X212 )
                                                 => ~ ! [X214: mworld] :
                                                        ( ( mrel @ X212 @ X214 )
                                                       => ( qmltpeq @ X168 @ X170 @ X214 ) ) )
                                              & ! [X210: mworld] :
                                                  ( ( mrel @ X158 @ X210 )
                                                 => ( front @ X172 @ X210 ) )
                                              & ! [X208: mworld] :
                                                  ( ( mrel @ X158 @ X208 )
                                                 => ( furniture @ X172 @ X208 ) )
                                              & ! [X206: mworld] :
                                                  ( ( mrel @ X158 @ X206 )
                                                 => ( seat @ X172 @ X206 ) )
                                              & ! [X204: mworld] :
                                                  ( ( mrel @ X158 @ X204 )
                                                 => ( in @ X162 @ X160 @ X204 ) )
                                              & ! [X202: mworld] :
                                                  ( ( mrel @ X158 @ X202 )
                                                 => ( down @ X162 @ X166 @ X202 ) )
                                              & ! [X200: mworld] :
                                                  ( ( mrel @ X158 @ X200 )
                                                 => ( barrel @ X162 @ X164 @ X200 ) )
                                              & ! [X198: mworld] :
                                                  ( ( mrel @ X158 @ X198 )
                                                 => ( lonely @ X166 @ X198 ) )
                                              & ! [X196: mworld] :
                                                  ( ( mrel @ X158 @ X196 )
                                                 => ( way @ X166 @ X196 ) )
                                              & ! [X194: mworld] :
                                                  ( ( mrel @ X158 @ X194 )
                                                 => ( street @ X166 @ X194 ) )
                                              & ! [X192: mworld] :
                                                  ( ( mrel @ X158 @ X192 )
                                                 => ( old @ X164 @ X192 ) )
                                              & ! [X190: mworld] :
                                                  ( ( mrel @ X158 @ X190 )
                                                 => ( dirty @ X164 @ X190 ) )
                                              & ! [X188: mworld] :
                                                  ( ( mrel @ X158 @ X188 )
                                                 => ( white @ X164 @ X188 ) )
                                              & ! [X186: mworld] :
                                                  ( ( mrel @ X158 @ X186 )
                                                 => ( car @ X164 @ X186 ) )
                                              & ! [X184: mworld] :
                                                  ( ( mrel @ X158 @ X184 )
                                                 => ( chevy @ X164 @ X184 ) )
                                              & ! [X182: mworld] :
                                                  ( ( mrel @ X158 @ X182 )
                                                 => ( event @ X162 @ X182 ) )
                                              & ! [X180: mworld] :
                                                  ( ( mrel @ X158 @ X180 )
                                                 => ( city @ X160 @ X180 ) )
                                              & ! [X178: mworld] :
                                                  ( ( mrel @ X158 @ X178 )
                                                 => ( hollywood @ X160 @ X178 ) ) ) ) ) ) ) ) ) ) )
         => ? [X236: $i] :
              ( ( eiw_di @ X236 @ X158 )
              & ? [X238: $i] :
                  ( ( eiw_di @ X238 @ X158 )
                  & ? [X240: $i] :
                      ( ( eiw_di @ X240 @ X158 )
                      & ? [X242: $i] :
                          ( ( eiw_di @ X242 @ X158 )
                          & ? [X244: $i] :
                              ( ( eiw_di @ X244 @ X158 )
                              & ? [X246: $i] :
                                  ( ( eiw_di @ X246 @ X158 )
                                  & ? [X248: $i] :
                                      ( ( eiw_di @ X248 @ X158 )
                                      & ? [X250: $i] :
                                          ( ( eiw_di @ X250 @ X158 )
                                          & ? [X252: $i] :
                                              ( ( eiw_di @ X252 @ X158 )
                                              & ! [X310: mworld] :
                                                  ( ( mrel @ X158 @ X310 )
                                                 => ( in @ X252 @ X248 @ X310 ) )
                                              & ! [X308: mworld] :
                                                  ( ( mrel @ X158 @ X308 )
                                                 => ( qmltpeq @ X246 @ X252 @ X308 ) )
                                              & ! [X306: mworld] :
                                                  ( ( mrel @ X158 @ X306 )
                                                 => ( in @ X250 @ X248 @ X306 ) )
                                              & ! [X304: mworld] :
                                                  ( ( mrel @ X158 @ X304 )
                                                 => ( qmltpeq @ X244 @ X250 @ X304 ) )
                                              & ! [X302: mworld] :
                                                  ( ( mrel @ X158 @ X302 )
                                                 => ( young @ X246 @ X302 ) )
                                              & ! [X300: mworld] :
                                                  ( ( mrel @ X158 @ X300 )
                                                 => ( man @ X246 @ X300 ) )
                                              & ! [X298: mworld] :
                                                  ( ( mrel @ X158 @ X298 )
                                                 => ( fellow @ X246 @ X298 ) )
                                              & ! [X296: mworld] :
                                                  ( ( mrel @ X158 @ X296 )
                                                 => ( young @ X244 @ X296 ) )
                                              & ! [X294: mworld] :
                                                  ( ( mrel @ X158 @ X294 )
                                                 => ( man @ X244 @ X294 ) )
                                              & ! [X292: mworld] :
                                                  ( ( mrel @ X158 @ X292 )
                                                 => ( fellow @ X244 @ X292 ) )
                                              & ! [X288: mworld] :
                                                  ( ( mrel @ X158 @ X288 )
                                                 => ~ ! [X290: mworld] :
                                                        ( ( mrel @ X288 @ X290 )
                                                       => ( qmltpeq @ X244 @ X246 @ X290 ) ) )
                                              & ! [X286: mworld] :
                                                  ( ( mrel @ X158 @ X286 )
                                                 => ( front @ X248 @ X286 ) )
                                              & ! [X284: mworld] :
                                                  ( ( mrel @ X158 @ X284 )
                                                 => ( furniture @ X248 @ X284 ) )
                                              & ! [X282: mworld] :
                                                  ( ( mrel @ X158 @ X282 )
                                                 => ( seat @ X248 @ X282 ) )
                                              & ! [X280: mworld] :
                                                  ( ( mrel @ X158 @ X280 )
                                                 => ( in @ X238 @ X236 @ X280 ) )
                                              & ! [X278: mworld] :
                                                  ( ( mrel @ X158 @ X278 )
                                                 => ( down @ X238 @ X240 @ X278 ) )
                                              & ! [X276: mworld] :
                                                  ( ( mrel @ X158 @ X276 )
                                                 => ( barrel @ X238 @ X242 @ X276 ) )
                                              & ! [X274: mworld] :
                                                  ( ( mrel @ X158 @ X274 )
                                                 => ( old @ X242 @ X274 ) )
                                              & ! [X272: mworld] :
                                                  ( ( mrel @ X158 @ X272 )
                                                 => ( dirty @ X242 @ X272 ) )
                                              & ! [X270: mworld] :
                                                  ( ( mrel @ X158 @ X270 )
                                                 => ( white @ X242 @ X270 ) )
                                              & ! [X268: mworld] :
                                                  ( ( mrel @ X158 @ X268 )
                                                 => ( car @ X242 @ X268 ) )
                                              & ! [X266: mworld] :
                                                  ( ( mrel @ X158 @ X266 )
                                                 => ( chevy @ X242 @ X266 ) )
                                              & ! [X264: mworld] :
                                                  ( ( mrel @ X158 @ X264 )
                                                 => ( lonely @ X240 @ X264 ) )
                                              & ! [X262: mworld] :
                                                  ( ( mrel @ X158 @ X262 )
                                                 => ( way @ X240 @ X262 ) )
                                              & ! [X260: mworld] :
                                                  ( ( mrel @ X158 @ X260 )
                                                 => ( street @ X240 @ X260 ) )
                                              & ! [X258: mworld] :
                                                  ( ( mrel @ X158 @ X258 )
                                                 => ( event @ X238 @ X258 ) )
                                              & ! [X256: mworld] :
                                                  ( ( mrel @ X158 @ X256 )
                                                 => ( city @ X236 @ X256 ) )
                                              & ! [X254: mworld] :
                                                  ( ( mrel @ X158 @ X254 )
                                                 => ( hollywood @ X236 @ X254 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ( ? [X6: $i] :
                ( ( eiw_di @ X6 @ X4 )
                & ? [X8: $i] :
                    ( ( eiw_di @ X8 @ X4 )
                    & ? [X10: $i] :
                        ( ( eiw_di @ X10 @ X4 )
                        & ? [X12: $i] :
                            ( ( eiw_di @ X12 @ X4 )
                            & ? [X14: $i] :
                                ( ( eiw_di @ X14 @ X4 )
                                & ? [X16: $i] :
                                    ( ( eiw_di @ X16 @ X4 )
                                    & ? [X18: $i] :
                                        ( ( eiw_di @ X18 @ X4 )
                                        & ? [X20: $i] :
                                            ( ( eiw_di @ X20 @ X4 )
                                            & ? [X22: $i] :
                                                ( ( eiw_di @ X22 @ X4 )
                                                & ! [X80: mworld] :
                                                    ( ( mrel @ X4 @ X80 )
                                                   => ( in @ X22 @ X18 @ X80 ) )
                                                & ! [X78: mworld] :
                                                    ( ( mrel @ X4 @ X78 )
                                                   => ( qmltpeq @ X16 @ X22 @ X78 ) )
                                                & ! [X76: mworld] :
                                                    ( ( mrel @ X4 @ X76 )
                                                   => ( in @ X20 @ X18 @ X76 ) )
                                                & ! [X74: mworld] :
                                                    ( ( mrel @ X4 @ X74 )
                                                   => ( qmltpeq @ X14 @ X20 @ X74 ) )
                                                & ! [X72: mworld] :
                                                    ( ( mrel @ X4 @ X72 )
                                                   => ( young @ X16 @ X72 ) )
                                                & ! [X70: mworld] :
                                                    ( ( mrel @ X4 @ X70 )
                                                   => ( man @ X16 @ X70 ) )
                                                & ! [X68: mworld] :
                                                    ( ( mrel @ X4 @ X68 )
                                                   => ( fellow @ X16 @ X68 ) )
                                                & ! [X66: mworld] :
                                                    ( ( mrel @ X4 @ X66 )
                                                   => ( young @ X14 @ X66 ) )
                                                & ! [X64: mworld] :
                                                    ( ( mrel @ X4 @ X64 )
                                                   => ( man @ X14 @ X64 ) )
                                                & ! [X62: mworld] :
                                                    ( ( mrel @ X4 @ X62 )
                                                   => ( fellow @ X14 @ X62 ) )
                                                & ! [X58: mworld] :
                                                    ( ( mrel @ X4 @ X58 )
                                                   => ~ ! [X60: mworld] :
                                                          ( ( mrel @ X58 @ X60 )
                                                         => ( qmltpeq @ X14 @ X16 @ X60 ) ) )
                                                & ! [X56: mworld] :
                                                    ( ( mrel @ X4 @ X56 )
                                                   => ( front @ X18 @ X56 ) )
                                                & ! [X54: mworld] :
                                                    ( ( mrel @ X4 @ X54 )
                                                   => ( furniture @ X18 @ X54 ) )
                                                & ! [X52: mworld] :
                                                    ( ( mrel @ X4 @ X52 )
                                                   => ( seat @ X18 @ X52 ) )
                                                & ! [X50: mworld] :
                                                    ( ( mrel @ X4 @ X50 )
                                                   => ( in @ X8 @ X6 @ X50 ) )
                                                & ! [X48: mworld] :
                                                    ( ( mrel @ X4 @ X48 )
                                                   => ( down @ X8 @ X10 @ X48 ) )
                                                & ! [X46: mworld] :
                                                    ( ( mrel @ X4 @ X46 )
                                                   => ( barrel @ X8 @ X12 @ X46 ) )
                                                & ! [X44: mworld] :
                                                    ( ( mrel @ X4 @ X44 )
                                                   => ( old @ X12 @ X44 ) )
                                                & ! [X42: mworld] :
                                                    ( ( mrel @ X4 @ X42 )
                                                   => ( dirty @ X12 @ X42 ) )
                                                & ! [X40: mworld] :
                                                    ( ( mrel @ X4 @ X40 )
                                                   => ( white @ X12 @ X40 ) )
                                                & ! [X38: mworld] :
                                                    ( ( mrel @ X4 @ X38 )
                                                   => ( car @ X12 @ X38 ) )
                                                & ! [X36: mworld] :
                                                    ( ( mrel @ X4 @ X36 )
                                                   => ( chevy @ X12 @ X36 ) )
                                                & ! [X34: mworld] :
                                                    ( ( mrel @ X4 @ X34 )
                                                   => ( lonely @ X10 @ X34 ) )
                                                & ! [X32: mworld] :
                                                    ( ( mrel @ X4 @ X32 )
                                                   => ( way @ X10 @ X32 ) )
                                                & ! [X30: mworld] :
                                                    ( ( mrel @ X4 @ X30 )
                                                   => ( street @ X10 @ X30 ) )
                                                & ! [X28: mworld] :
                                                    ( ( mrel @ X4 @ X28 )
                                                   => ( event @ X8 @ X28 ) )
                                                & ! [X26: mworld] :
                                                    ( ( mrel @ X4 @ X26 )
                                                   => ( city @ X6 @ X26 ) )
                                                & ! [X24: mworld] :
                                                    ( ( mrel @ X4 @ X24 )
                                                   => ( hollywood @ X6 @ X24 ) ) ) ) ) ) ) ) ) ) )
           => ? [X82: $i] :
                ( ( eiw_di @ X82 @ X4 )
                & ? [X84: $i] :
                    ( ( eiw_di @ X84 @ X4 )
                    & ? [X86: $i] :
                        ( ( eiw_di @ X86 @ X4 )
                        & ? [X88: $i] :
                            ( ( eiw_di @ X88 @ X4 )
                            & ? [X90: $i] :
                                ( ( eiw_di @ X90 @ X4 )
                                & ? [X92: $i] :
                                    ( ( eiw_di @ X92 @ X4 )
                                    & ? [X94: $i] :
                                        ( ( eiw_di @ X94 @ X4 )
                                        & ? [X96: $i] :
                                            ( ( eiw_di @ X96 @ X4 )
                                            & ? [X98: $i] :
                                                ( ( eiw_di @ X98 @ X4 )
                                                & ! [X156: mworld] :
                                                    ( ( mrel @ X4 @ X156 )
                                                   => ( in @ X98 @ X94 @ X156 ) )
                                                & ! [X154: mworld] :
                                                    ( ( mrel @ X4 @ X154 )
                                                   => ( qmltpeq @ X92 @ X98 @ X154 ) )
                                                & ! [X152: mworld] :
                                                    ( ( mrel @ X4 @ X152 )
                                                   => ( in @ X96 @ X94 @ X152 ) )
                                                & ! [X150: mworld] :
                                                    ( ( mrel @ X4 @ X150 )
                                                   => ( qmltpeq @ X90 @ X96 @ X150 ) )
                                                & ! [X148: mworld] :
                                                    ( ( mrel @ X4 @ X148 )
                                                   => ( young @ X92 @ X148 ) )
                                                & ! [X146: mworld] :
                                                    ( ( mrel @ X4 @ X146 )
                                                   => ( man @ X92 @ X146 ) )
                                                & ! [X144: mworld] :
                                                    ( ( mrel @ X4 @ X144 )
                                                   => ( fellow @ X92 @ X144 ) )
                                                & ! [X142: mworld] :
                                                    ( ( mrel @ X4 @ X142 )
                                                   => ( young @ X90 @ X142 ) )
                                                & ! [X140: mworld] :
                                                    ( ( mrel @ X4 @ X140 )
                                                   => ( man @ X90 @ X140 ) )
                                                & ! [X138: mworld] :
                                                    ( ( mrel @ X4 @ X138 )
                                                   => ( fellow @ X90 @ X138 ) )
                                                & ! [X134: mworld] :
                                                    ( ( mrel @ X4 @ X134 )
                                                   => ~ ! [X136: mworld] :
                                                          ( ( mrel @ X134 @ X136 )
                                                         => ( qmltpeq @ X90 @ X92 @ X136 ) ) )
                                                & ! [X132: mworld] :
                                                    ( ( mrel @ X4 @ X132 )
                                                   => ( front @ X94 @ X132 ) )
                                                & ! [X130: mworld] :
                                                    ( ( mrel @ X4 @ X130 )
                                                   => ( furniture @ X94 @ X130 ) )
                                                & ! [X128: mworld] :
                                                    ( ( mrel @ X4 @ X128 )
                                                   => ( seat @ X94 @ X128 ) )
                                                & ! [X126: mworld] :
                                                    ( ( mrel @ X4 @ X126 )
                                                   => ( in @ X84 @ X82 @ X126 ) )
                                                & ! [X124: mworld] :
                                                    ( ( mrel @ X4 @ X124 )
                                                   => ( down @ X84 @ X88 @ X124 ) )
                                                & ! [X122: mworld] :
                                                    ( ( mrel @ X4 @ X122 )
                                                   => ( barrel @ X84 @ X86 @ X122 ) )
                                                & ! [X120: mworld] :
                                                    ( ( mrel @ X4 @ X120 )
                                                   => ( lonely @ X88 @ X120 ) )
                                                & ! [X118: mworld] :
                                                    ( ( mrel @ X4 @ X118 )
                                                   => ( way @ X88 @ X118 ) )
                                                & ! [X116: mworld] :
                                                    ( ( mrel @ X4 @ X116 )
                                                   => ( street @ X88 @ X116 ) )
                                                & ! [X114: mworld] :
                                                    ( ( mrel @ X4 @ X114 )
                                                   => ( old @ X86 @ X114 ) )
                                                & ! [X112: mworld] :
                                                    ( ( mrel @ X4 @ X112 )
                                                   => ( dirty @ X86 @ X112 ) )
                                                & ! [X110: mworld] :
                                                    ( ( mrel @ X4 @ X110 )
                                                   => ( white @ X86 @ X110 ) )
                                                & ! [X108: mworld] :
                                                    ( ( mrel @ X4 @ X108 )
                                                   => ( car @ X86 @ X108 ) )
                                                & ! [X106: mworld] :
                                                    ( ( mrel @ X4 @ X106 )
                                                   => ( chevy @ X86 @ X106 ) )
                                                & ! [X104: mworld] :
                                                    ( ( mrel @ X4 @ X104 )
                                                   => ( event @ X84 @ X104 ) )
                                                & ! [X102: mworld] :
                                                    ( ( mrel @ X4 @ X102 )
                                                   => ( city @ X82 @ X102 ) )
                                                & ! [X100: mworld] :
                                                    ( ( mrel @ X4 @ X100 )
                                                   => ( hollywood @ X82 @ X100 ) ) ) ) ) ) ) ) ) ) ) ) )
      & ! [X158: mworld] :
          ( ( mrel @ mactual @ X158 )
         => ( ? [X160: $i] :
                ( ( eiw_di @ X160 @ X158 )
                & ? [X162: $i] :
                    ( ( eiw_di @ X162 @ X158 )
                    & ? [X164: $i] :
                        ( ( eiw_di @ X164 @ X158 )
                        & ? [X166: $i] :
                            ( ( eiw_di @ X166 @ X158 )
                            & ? [X168: $i] :
                                ( ( eiw_di @ X168 @ X158 )
                                & ? [X170: $i] :
                                    ( ( eiw_di @ X170 @ X158 )
                                    & ? [X172: $i] :
                                        ( ( eiw_di @ X172 @ X158 )
                                        & ? [X174: $i] :
                                            ( ( eiw_di @ X174 @ X158 )
                                            & ? [X176: $i] :
                                                ( ( eiw_di @ X176 @ X158 )
                                                & ! [X234: mworld] :
                                                    ( ( mrel @ X158 @ X234 )
                                                   => ( in @ X176 @ X172 @ X234 ) )
                                                & ! [X232: mworld] :
                                                    ( ( mrel @ X158 @ X232 )
                                                   => ( qmltpeq @ X170 @ X176 @ X232 ) )
                                                & ! [X230: mworld] :
                                                    ( ( mrel @ X158 @ X230 )
                                                   => ( in @ X174 @ X172 @ X230 ) )
                                                & ! [X228: mworld] :
                                                    ( ( mrel @ X158 @ X228 )
                                                   => ( qmltpeq @ X168 @ X174 @ X228 ) )
                                                & ! [X226: mworld] :
                                                    ( ( mrel @ X158 @ X226 )
                                                   => ( young @ X170 @ X226 ) )
                                                & ! [X224: mworld] :
                                                    ( ( mrel @ X158 @ X224 )
                                                   => ( man @ X170 @ X224 ) )
                                                & ! [X222: mworld] :
                                                    ( ( mrel @ X158 @ X222 )
                                                   => ( fellow @ X170 @ X222 ) )
                                                & ! [X220: mworld] :
                                                    ( ( mrel @ X158 @ X220 )
                                                   => ( young @ X168 @ X220 ) )
                                                & ! [X218: mworld] :
                                                    ( ( mrel @ X158 @ X218 )
                                                   => ( man @ X168 @ X218 ) )
                                                & ! [X216: mworld] :
                                                    ( ( mrel @ X158 @ X216 )
                                                   => ( fellow @ X168 @ X216 ) )
                                                & ! [X212: mworld] :
                                                    ( ( mrel @ X158 @ X212 )
                                                   => ~ ! [X214: mworld] :
                                                          ( ( mrel @ X212 @ X214 )
                                                         => ( qmltpeq @ X168 @ X170 @ X214 ) ) )
                                                & ! [X210: mworld] :
                                                    ( ( mrel @ X158 @ X210 )
                                                   => ( front @ X172 @ X210 ) )
                                                & ! [X208: mworld] :
                                                    ( ( mrel @ X158 @ X208 )
                                                   => ( furniture @ X172 @ X208 ) )
                                                & ! [X206: mworld] :
                                                    ( ( mrel @ X158 @ X206 )
                                                   => ( seat @ X172 @ X206 ) )
                                                & ! [X204: mworld] :
                                                    ( ( mrel @ X158 @ X204 )
                                                   => ( in @ X162 @ X160 @ X204 ) )
                                                & ! [X202: mworld] :
                                                    ( ( mrel @ X158 @ X202 )
                                                   => ( down @ X162 @ X166 @ X202 ) )
                                                & ! [X200: mworld] :
                                                    ( ( mrel @ X158 @ X200 )
                                                   => ( barrel @ X162 @ X164 @ X200 ) )
                                                & ! [X198: mworld] :
                                                    ( ( mrel @ X158 @ X198 )
                                                   => ( lonely @ X166 @ X198 ) )
                                                & ! [X196: mworld] :
                                                    ( ( mrel @ X158 @ X196 )
                                                   => ( way @ X166 @ X196 ) )
                                                & ! [X194: mworld] :
                                                    ( ( mrel @ X158 @ X194 )
                                                   => ( street @ X166 @ X194 ) )
                                                & ! [X192: mworld] :
                                                    ( ( mrel @ X158 @ X192 )
                                                   => ( old @ X164 @ X192 ) )
                                                & ! [X190: mworld] :
                                                    ( ( mrel @ X158 @ X190 )
                                                   => ( dirty @ X164 @ X190 ) )
                                                & ! [X188: mworld] :
                                                    ( ( mrel @ X158 @ X188 )
                                                   => ( white @ X164 @ X188 ) )
                                                & ! [X186: mworld] :
                                                    ( ( mrel @ X158 @ X186 )
                                                   => ( car @ X164 @ X186 ) )
                                                & ! [X184: mworld] :
                                                    ( ( mrel @ X158 @ X184 )
                                                   => ( chevy @ X164 @ X184 ) )
                                                & ! [X182: mworld] :
                                                    ( ( mrel @ X158 @ X182 )
                                                   => ( event @ X162 @ X182 ) )
                                                & ! [X180: mworld] :
                                                    ( ( mrel @ X158 @ X180 )
                                                   => ( city @ X160 @ X180 ) )
                                                & ! [X178: mworld] :
                                                    ( ( mrel @ X158 @ X178 )
                                                   => ( hollywood @ X160 @ X178 ) ) ) ) ) ) ) ) ) ) )
           => ? [X236: $i] :
                ( ( eiw_di @ X236 @ X158 )
                & ? [X238: $i] :
                    ( ( eiw_di @ X238 @ X158 )
                    & ? [X240: $i] :
                        ( ( eiw_di @ X240 @ X158 )
                        & ? [X242: $i] :
                            ( ( eiw_di @ X242 @ X158 )
                            & ? [X244: $i] :
                                ( ( eiw_di @ X244 @ X158 )
                                & ? [X246: $i] :
                                    ( ( eiw_di @ X246 @ X158 )
                                    & ? [X248: $i] :
                                        ( ( eiw_di @ X248 @ X158 )
                                        & ? [X250: $i] :
                                            ( ( eiw_di @ X250 @ X158 )
                                            & ? [X252: $i] :
                                                ( ( eiw_di @ X252 @ X158 )
                                                & ! [X310: mworld] :
                                                    ( ( mrel @ X158 @ X310 )
                                                   => ( in @ X252 @ X248 @ X310 ) )
                                                & ! [X308: mworld] :
                                                    ( ( mrel @ X158 @ X308 )
                                                   => ( qmltpeq @ X246 @ X252 @ X308 ) )
                                                & ! [X306: mworld] :
                                                    ( ( mrel @ X158 @ X306 )
                                                   => ( in @ X250 @ X248 @ X306 ) )
                                                & ! [X304: mworld] :
                                                    ( ( mrel @ X158 @ X304 )
                                                   => ( qmltpeq @ X244 @ X250 @ X304 ) )
                                                & ! [X302: mworld] :
                                                    ( ( mrel @ X158 @ X302 )
                                                   => ( young @ X246 @ X302 ) )
                                                & ! [X300: mworld] :
                                                    ( ( mrel @ X158 @ X300 )
                                                   => ( man @ X246 @ X300 ) )
                                                & ! [X298: mworld] :
                                                    ( ( mrel @ X158 @ X298 )
                                                   => ( fellow @ X246 @ X298 ) )
                                                & ! [X296: mworld] :
                                                    ( ( mrel @ X158 @ X296 )
                                                   => ( young @ X244 @ X296 ) )
                                                & ! [X294: mworld] :
                                                    ( ( mrel @ X158 @ X294 )
                                                   => ( man @ X244 @ X294 ) )
                                                & ! [X292: mworld] :
                                                    ( ( mrel @ X158 @ X292 )
                                                   => ( fellow @ X244 @ X292 ) )
                                                & ! [X288: mworld] :
                                                    ( ( mrel @ X158 @ X288 )
                                                   => ~ ! [X290: mworld] :
                                                          ( ( mrel @ X288 @ X290 )
                                                         => ( qmltpeq @ X244 @ X246 @ X290 ) ) )
                                                & ! [X286: mworld] :
                                                    ( ( mrel @ X158 @ X286 )
                                                   => ( front @ X248 @ X286 ) )
                                                & ! [X284: mworld] :
                                                    ( ( mrel @ X158 @ X284 )
                                                   => ( furniture @ X248 @ X284 ) )
                                                & ! [X282: mworld] :
                                                    ( ( mrel @ X158 @ X282 )
                                                   => ( seat @ X248 @ X282 ) )
                                                & ! [X280: mworld] :
                                                    ( ( mrel @ X158 @ X280 )
                                                   => ( in @ X238 @ X236 @ X280 ) )
                                                & ! [X278: mworld] :
                                                    ( ( mrel @ X158 @ X278 )
                                                   => ( down @ X238 @ X240 @ X278 ) )
                                                & ! [X276: mworld] :
                                                    ( ( mrel @ X158 @ X276 )
                                                   => ( barrel @ X238 @ X242 @ X276 ) )
                                                & ! [X274: mworld] :
                                                    ( ( mrel @ X158 @ X274 )
                                                   => ( old @ X242 @ X274 ) )
                                                & ! [X272: mworld] :
                                                    ( ( mrel @ X158 @ X272 )
                                                   => ( dirty @ X242 @ X272 ) )
                                                & ! [X270: mworld] :
                                                    ( ( mrel @ X158 @ X270 )
                                                   => ( white @ X242 @ X270 ) )
                                                & ! [X268: mworld] :
                                                    ( ( mrel @ X158 @ X268 )
                                                   => ( car @ X242 @ X268 ) )
                                                & ! [X266: mworld] :
                                                    ( ( mrel @ X158 @ X266 )
                                                   => ( chevy @ X242 @ X266 ) )
                                                & ! [X264: mworld] :
                                                    ( ( mrel @ X158 @ X264 )
                                                   => ( lonely @ X240 @ X264 ) )
                                                & ! [X262: mworld] :
                                                    ( ( mrel @ X158 @ X262 )
                                                   => ( way @ X240 @ X262 ) )
                                                & ! [X260: mworld] :
                                                    ( ( mrel @ X158 @ X260 )
                                                   => ( street @ X240 @ X260 ) )
                                                & ! [X258: mworld] :
                                                    ( ( mrel @ X158 @ X258 )
                                                   => ( event @ X238 @ X258 ) )
                                                & ! [X256: mworld] :
                                                    ( ( mrel @ X158 @ X256 )
                                                   => ( city @ X236 @ X256 ) )
                                                & ! [X254: mworld] :
                                                    ( ( mrel @ X158 @ X254 )
                                                   => ( hollywood @ X236 @ X254 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( ( mrel @ mactual @ '#sk1' )
       => ( ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk1' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk1' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( old @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( dirty @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( white @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( car @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( chevy @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( lonely @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( way @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( street @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
         => ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk1' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk1' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( lonely @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( way @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( street @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( old @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( dirty @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( white @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( car @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( chevy @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk1' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk1' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk1' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk1' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk1' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( old @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( dirty @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( white @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( car @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( chevy @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( lonely @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( way @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( street @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk1' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk1' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk1' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk1' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( lonely @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( way @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( street @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( old @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( dirty @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( white @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( car @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( chevy @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk1' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk1' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk1' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk1' )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ '#sk1' )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ '#sk1' )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( young @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( man @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( fellow @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( young @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( man @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( fellow @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( (~)
                                                                    @ ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y9 @ Y10 )
                                                                         => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( front @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( furniture @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( seat @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( lonely @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( way @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( street @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( old @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( dirty @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( white @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( car @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( chevy @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( event @ Y1 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( city @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk1' @ Y9 )
                                                                 => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk1' )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y9: mworld] :
                                                                        ( ( mrel @ Y8 @ Y9 )
                                                                       => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( front @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( furniture @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( seat @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( lonely @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( way @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( street @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( old @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( dirty @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( white @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( car @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( chevy @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( event @ Y0 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( city @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ mactual @ Y0 )
             => ( ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ Y0 )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ Y0 )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ Y0 )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ Y0 )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ Y0 )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ Y0 )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ Y0 )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ Y0 )
                                                                & ( ??
                                                                  @ ^ [Y9: $i] :
                                                                      ( ( eiw_di @ Y9 @ Y0 )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( (~)
                                                                              @ ( !!
                                                                                @ ^ [Y11: mworld] :
                                                                                    ( ( mrel @ Y10 @ Y11 )
                                                                                   => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( front @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( furniture @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( seat @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( lonely @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( way @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( street @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( old @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( dirty @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( white @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( car @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( chevy @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( event @ Y2 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( city @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
               => ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ Y0 )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ Y0 )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ Y0 )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ Y0 )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ Y0 )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ Y0 )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ Y0 )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ Y0 )
                                                                & ( ??
                                                                  @ ^ [Y9: $i] :
                                                                      ( ( eiw_di @ Y9 @ Y0 )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( (~)
                                                                              @ ( !!
                                                                                @ ^ [Y11: mworld] :
                                                                                    ( ( mrel @ Y10 @ Y11 )
                                                                                   => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( front @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( furniture @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( seat @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( old @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( dirty @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( white @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( car @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( chevy @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( lonely @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( way @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( street @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( event @ Y2 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( city @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11_001,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk1' )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y9: mworld] :
                                                                        ( ( mrel @ Y8 @ Y9 )
                                                                       => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( front @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( furniture @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( seat @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( lonely @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( way @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( street @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( old @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( dirty @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( white @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( car @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( chevy @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( event @ Y0 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( city @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ mactual @ Y0 )
             => ( ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ Y0 )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ Y0 )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ Y0 )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ Y0 )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ Y0 )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ Y0 )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ Y0 )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ Y0 )
                                                                & ( ??
                                                                  @ ^ [Y9: $i] :
                                                                      ( ( eiw_di @ Y9 @ Y0 )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( (~)
                                                                              @ ( !!
                                                                                @ ^ [Y11: mworld] :
                                                                                    ( ( mrel @ Y10 @ Y11 )
                                                                                   => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( front @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( furniture @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( seat @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( lonely @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( way @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( street @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( old @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( dirty @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( white @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( car @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( chevy @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( event @ Y2 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( city @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
               => ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ Y0 )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ Y0 )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ Y0 )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ Y0 )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ Y0 )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ Y0 )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ Y0 )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ Y0 )
                                                                & ( ??
                                                                  @ ^ [Y9: $i] :
                                                                      ( ( eiw_di @ Y9 @ Y0 )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y6 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( young @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( man @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( fellow @ Y5 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( (~)
                                                                              @ ( !!
                                                                                @ ^ [Y11: mworld] :
                                                                                    ( ( mrel @ Y10 @ Y11 )
                                                                                   => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( front @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( furniture @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( seat @ Y7 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( old @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( dirty @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( white @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( car @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( chevy @ Y4 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( lonely @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( way @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( street @ Y3 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( event @ Y2 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( city @ Y1 @ Y10 ) ) )
                                                                      & ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y0 @ Y10 )
                                                                           => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16,plain,
    ( '#form4'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i] :
      ( ~ '#form4'
      | ~ ( ( eiw_di @ X2 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk1' )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( young @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( man @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( fellow @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y9: mworld] :
                                                                        ( ( mrel @ Y8 @ Y9 )
                                                                       => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( front @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( furniture @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( seat @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( lonely @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( way @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( street @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( old @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( dirty @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( white @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( car @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( chevy @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( event @ Y0 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( city @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y8 )
                                                               => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i] :
      ( ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk1' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk1' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk1' )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( young @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( man @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( fellow @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( young @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( man @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( fellow @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( (~)
                                                                @ ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ Y8 @ Y9 )
                                                                     => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( front @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( furniture @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( seat @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( lonely @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( way @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( street @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( old @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( dirty @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( white @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( car @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( chevy @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( event @ Y0 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( city @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk1' @ Y8 )
                                                             => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( eiw_di @ X4 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk1' )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( young @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( man @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( fellow @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( young @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( man @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( fellow @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y8: mworld] :
                                                                  ( ( mrel @ Y7 @ Y8 )
                                                                 => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( front @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( furniture @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( seat @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( in @ X4 @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( down @ X4 @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( barrel @ X4 @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( lonely @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( way @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( street @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( old @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( dirty @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( white @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( car @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( chevy @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( event @ X4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( city @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y7 )
                                                         => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl37,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk1' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk1' )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( young @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( man @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( fellow @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( young @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( man @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( fellow @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( (~)
                                                          @ ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ Y7 @ Y8 )
                                                               => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( front @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( furniture @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( seat @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( in @ X4 @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( down @ X4 @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( barrel @ X4 @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( lonely @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( way @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( street @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( old @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( dirty @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( white @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( car @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( chevy @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( event @ X4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( city @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk1' @ Y7 )
                                                       => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl44,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( eiw_di @ X6 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk1' )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( young @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( man @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( fellow @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( young @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( man @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( fellow @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( (~)
                                                      @ ( !!
                                                        @ ^ [Y7: mworld] :
                                                            ( ( mrel @ Y6 @ Y7 )
                                                           => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( front @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( furniture @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( seat @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( in @ X4 @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( down @ X4 @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( barrel @ X4 @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( lonely @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( way @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( street @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( old @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( dirty @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( white @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( car @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( chevy @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( event @ X4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( city @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y6 )
                                                   => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl52,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk1' )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( young @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( man @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( fellow @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( young @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( man @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( fellow @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( (~)
                                                    @ ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ Y6 @ Y7 )
                                                         => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( front @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( furniture @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( seat @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( in @ X4 @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( down @ X4 @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( barrel @ X4 @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( lonely @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( way @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( street @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( old @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( dirty @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( white @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( car @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( chevy @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( event @ X4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( city @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk1' @ Y6 )
                                                 => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl59,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( eiw_di @ X8 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk1' )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( young @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( man @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( fellow @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( young @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( man @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( fellow @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( (~)
                                                @ ( !!
                                                  @ ^ [Y6: mworld] :
                                                      ( ( mrel @ Y5 @ Y6 )
                                                     => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( front @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( furniture @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( seat @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( in @ X4 @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( down @ X4 @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( barrel @ X4 @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( lonely @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( way @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( street @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( old @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( dirty @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( white @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( car @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( chevy @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( event @ X4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( city @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk1' @ Y5 )
                                             => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl67,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk1' )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( young @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( man @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( fellow @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( young @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( man @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( fellow @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( (~)
                                              @ ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ Y5 @ Y6 )
                                                   => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( front @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( furniture @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( seat @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( in @ X4 @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( down @ X4 @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( barrel @ X4 @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( lonely @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( way @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( street @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( old @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( dirty @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( white @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( car @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( chevy @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( event @ X4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( city @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk1' @ Y5 )
                                           => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl74,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ( eiw_di @ X10 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk1' )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( young @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( man @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( fellow @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( young @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( man @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( fellow @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y5: mworld] :
                                                ( ( mrel @ Y4 @ Y5 )
                                               => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( front @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( furniture @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( seat @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( in @ X4 @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( down @ X4 @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( barrel @ X4 @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( lonely @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( way @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( street @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( old @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( dirty @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( white @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( car @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( chevy @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( event @ X4 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( city @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk1' @ Y4 )
                                       => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl82,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk1' )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( young @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( man @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( fellow @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( young @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( man @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( fellow @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( (~)
                                        @ ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ Y4 @ Y5 )
                                             => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( front @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( furniture @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( seat @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( in @ X4 @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( down @ X4 @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( barrel @ X4 @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( lonely @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( way @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( street @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( old @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( dirty @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( white @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( car @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( chevy @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( event @ X4 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( city @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk1' @ Y4 )
                                     => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl89,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( eiw_di @ X12 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk1' )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( in @ Y2 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( in @ Y1 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( young @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( man @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( fellow @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( young @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( man @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( fellow @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( (~)
                                    @ ( !!
                                      @ ^ [Y4: mworld] :
                                          ( ( mrel @ Y3 @ Y4 )
                                         => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( front @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( furniture @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( seat @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( in @ X4 @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( down @ X4 @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( barrel @ X4 @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( lonely @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( way @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( street @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( old @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( dirty @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( white @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( car @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( chevy @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( event @ X4 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( city @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk1' @ Y3 )
                                 => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl97,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk1' )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( in @ Y2 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( in @ Y1 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( young @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( man @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( fellow @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( young @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( man @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( fellow @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( (~)
                                  @ ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ Y3 @ Y4 )
                                       => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( front @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( furniture @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( seat @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( in @ X4 @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( down @ X4 @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( barrel @ X4 @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( lonely @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( way @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( street @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( old @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( dirty @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( white @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( car @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( chevy @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( event @ X4 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( city @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk1' @ Y3 )
                               => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl104,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ( eiw_di @ X14 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk1' )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( in @ Y1 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( in @ Y0 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( young @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( man @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( fellow @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( young @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( man @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( fellow @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y3: mworld] :
                                    ( ( mrel @ Y2 @ Y3 )
                                   => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( front @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( furniture @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( seat @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( in @ X4 @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( down @ X4 @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( barrel @ X4 @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( lonely @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( way @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( street @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( old @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( dirty @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( white @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( car @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( chevy @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( event @ X4 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( city @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk1' @ Y2 )
                           => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl112,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk1' )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( in @ Y1 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( in @ Y0 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( young @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( man @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( fellow @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( young @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( man @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( fellow @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( (~)
                            @ ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ Y2 @ Y3 )
                                 => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( front @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( furniture @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( seat @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( in @ X4 @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( down @ X4 @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( barrel @ X4 @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( lonely @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( way @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( street @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( old @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( dirty @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( white @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( car @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( chevy @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( event @ X4 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( city @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk1' @ Y2 )
                         => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl104]) ).

thf(zip_derived_cl119,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( eiw_di @ X16 @ '#sk1' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk1' )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( in @ Y0 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( in @ X16 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( young @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( man @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( fellow @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( young @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( man @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( fellow @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: mworld] :
                              ( ( mrel @ Y1 @ Y2 )
                             => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( front @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( furniture @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( seat @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( in @ X4 @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( down @ X4 @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( barrel @ X4 @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( lonely @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( way @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( street @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( old @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( dirty @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( white @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( car @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( chevy @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( event @ X4 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( city @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk1' @ Y1 )
                     => ( hollywood @ X2 @ Y1 ) ) ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl127,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk1' )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( in @ Y0 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( in @ X16 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( young @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( man @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( fellow @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( young @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( man @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( fellow @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( front @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( furniture @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( seat @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( in @ X4 @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( down @ X4 @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( barrel @ X4 @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( lonely @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( way @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( street @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( old @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( dirty @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( white @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( car @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( chevy @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( event @ X4 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( city @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk1' @ Y1 )
                   => ( hollywood @ X2 @ Y1 ) ) ) ) )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl134,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( eiw_di @ X18 @ '#sk1' )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( in @ X18 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( in @ X16 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( young @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( man @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( fellow @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( young @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( man @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( fellow @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( front @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( furniture @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( seat @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( in @ X4 @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( down @ X4 @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( barrel @ X4 @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( lonely @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( way @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( street @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( old @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( dirty @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( white @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( car @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( chevy @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( event @ X4 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( city @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk1' @ Y0 )
               => ( hollywood @ X2 @ Y0 ) ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl169,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X18 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl230,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
         => ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl169]) ).

thf(zip_derived_cl292,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl230]) ).

thf(zip_derived_cl327,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl292]) ).

thf(zip_derived_cl327_002,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl292]) ).

thf(zip_derived_cl367,plain,
    ! [X2: $i] :
      ( ( '#form29' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl369,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl327,zip_derived_cl367]) ).

thf(zip_derived_cl291,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl230]) ).

thf(zip_derived_cl326,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl291]) ).

thf(zip_derived_cl365,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl407,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl411,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl369,zip_derived_cl407]) ).

thf(zip_derived_cl411_003,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl369,zip_derived_cl407]) ).

thf(zip_derived_cl453,plain,
    ! [X2: $i] :
      ( ( '#form35' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl455,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl411,zip_derived_cl453]) ).

thf(zip_derived_cl365_004,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl407_005,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl409,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl365,zip_derived_cl407]) ).

thf(zip_derived_cl367_006,plain,
    ! [X2: $i] :
      ( ( '#form29' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl449,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl409,zip_derived_cl367]) ).

thf(zip_derived_cl464,plain,
    ! [X10: $i,X16: $i] :
      ( ( '#form39' @ X10 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl468,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl455,zip_derived_cl464]) ).

thf(zip_derived_cl468_007,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl455,zip_derived_cl464]) ).

thf(zip_derived_cl482,plain,
    ! [X4: $i] :
      ( ( '#form40' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl484,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl468,zip_derived_cl482]) ).

thf(zip_derived_cl449_008,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl409,zip_derived_cl367]) ).

thf(zip_derived_cl464_009,plain,
    ! [X10: $i,X16: $i] :
      ( ( '#form39' @ X10 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl466,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl449,zip_derived_cl464]) ).

thf(zip_derived_cl453_010,plain,
    ! [X2: $i] :
      ( ( '#form35' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl478,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl466,zip_derived_cl453]) ).

thf(zip_derived_cl490,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl494,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl484,zip_derived_cl490]) ).

thf(zip_derived_cl494_011,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl484,zip_derived_cl490]) ).

thf(zip_derived_cl508,plain,
    ! [X6: $i] :
      ( ( '#form48' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl510,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl494,zip_derived_cl508]) ).

thf(zip_derived_cl478_012,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl466,zip_derived_cl453]) ).

thf(zip_derived_cl490_013,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl492,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl478,zip_derived_cl490]) ).

thf(zip_derived_cl482_014,plain,
    ! [X4: $i] :
      ( ( '#form40' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl504,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl492,zip_derived_cl482]) ).

thf(zip_derived_cl518,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl522,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl510,zip_derived_cl518]) ).

thf(zip_derived_cl522_015,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl510,zip_derived_cl518]) ).

thf(zip_derived_cl536,plain,
    ! [X6: $i] :
      ( ( '#form56' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl538,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl522,zip_derived_cl536]) ).

thf(zip_derived_cl504_016,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl492,zip_derived_cl482]) ).

thf(zip_derived_cl518_017,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl520,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl504,zip_derived_cl518]) ).

thf(zip_derived_cl508_018,plain,
    ! [X6: $i] :
      ( ( '#form48' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl532,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl520,zip_derived_cl508]) ).

thf(zip_derived_cl546,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl550,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl538,zip_derived_cl546]) ).

thf(zip_derived_cl550_019,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl538,zip_derived_cl546]) ).

thf(zip_derived_cl564,plain,
    ! [X6: $i] :
      ( ( '#form64' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl566,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl550,zip_derived_cl564]) ).

thf(zip_derived_cl490_020,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl576,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl566,zip_derived_cl490]) ).

thf(zip_derived_cl576_021,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl566,zip_derived_cl490]) ).

thf(zip_derived_cl586,plain,
    ! [X6: $i] :
      ( ( '#form68' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl588,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl576,zip_derived_cl586]) ).

thf(zip_derived_cl518_022,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl596,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl588,zip_derived_cl518]) ).

thf(zip_derived_cl596_023,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl588,zip_derived_cl518]) ).

thf(zip_derived_cl606,plain,
    ! [X6: $i] :
      ( ( '#form72' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl608,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl596,zip_derived_cl606]) ).

thf(zip_derived_cl546_024,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl616,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl608,zip_derived_cl546]) ).

thf(zip_derived_cl616_025,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl608,zip_derived_cl546]) ).

thf(zip_derived_cl626,plain,
    ! [X8: $i] :
      ( ( '#form76' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl628,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl616,zip_derived_cl626]) ).

thf(zip_derived_cl532_026,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl520,zip_derived_cl508]) ).

thf(zip_derived_cl546_027,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl548,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl532,zip_derived_cl546]) ).

thf(zip_derived_cl536_028,plain,
    ! [X6: $i] :
      ( ( '#form56' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl560,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl548,zip_derived_cl536]) ).

thf(zip_derived_cl490_029,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl574,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl560,zip_derived_cl490]) ).

thf(zip_derived_cl564_030,plain,
    ! [X6: $i] :
      ( ( '#form64' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl584,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl574,zip_derived_cl564]) ).

thf(zip_derived_cl518_031,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl594,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl584,zip_derived_cl518]) ).

thf(zip_derived_cl586_032,plain,
    ! [X6: $i] :
      ( ( '#form68' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl604,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl594,zip_derived_cl586]) ).

thf(zip_derived_cl546_033,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl614,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl604,zip_derived_cl546]) ).

thf(zip_derived_cl606_034,plain,
    ! [X6: $i] :
      ( ( '#form72' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl624,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl614,zip_derived_cl606]) ).

thf(zip_derived_cl634,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form80' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl638,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl628,zip_derived_cl634]) ).

thf(zip_derived_cl638_035,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl628,zip_derived_cl634]) ).

thf(zip_derived_cl652,plain,
    ! [X8: $i] :
      ( ( '#form84' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl654,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl638,zip_derived_cl652]) ).

thf(zip_derived_cl624_036,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl614,zip_derived_cl606]) ).

thf(zip_derived_cl634_037,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form80' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl636,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl624,zip_derived_cl634]) ).

thf(zip_derived_cl626_038,plain,
    ! [X8: $i] :
      ( ( '#form76' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl648,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl636,zip_derived_cl626]) ).

thf(zip_derived_cl662,plain,
    ! [X14: $i] :
      ( ( '#form88' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl667,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl654,zip_derived_cl662]) ).

thf(zip_derived_cl667_039,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl654,zip_derived_cl662]) ).

thf(zip_derived_cl683,plain,
    ! [X8: $i] :
      ( ( '#form92' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl685,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl667,zip_derived_cl683]) ).

thf(zip_derived_cl648_040,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl636,zip_derived_cl626]) ).

thf(zip_derived_cl662_041,plain,
    ! [X14: $i] :
      ( ( '#form88' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl664,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl648,zip_derived_cl662]) ).

thf(zip_derived_cl652_042,plain,
    ! [X8: $i] :
      ( ( '#form84' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl678,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl664,zip_derived_cl652]) ).

thf(zip_derived_cl694,plain,
    ! [X14: $i] :
      ( ( '#form96' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl698,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl685,zip_derived_cl694]) ).

thf(zip_derived_cl698_043,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl685,zip_derived_cl694]) ).

thf(zip_derived_cl712,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form100' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl714,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl698,zip_derived_cl712]) ).

thf(zip_derived_cl678_044,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl664,zip_derived_cl652]) ).

thf(zip_derived_cl694_045,plain,
    ! [X14: $i] :
      ( ( '#form96' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl696,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl678,zip_derived_cl694]) ).

thf(zip_derived_cl683_046,plain,
    ! [X8: $i] :
      ( ( '#form92' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl708,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl696,zip_derived_cl683]) ).

thf(zip_derived_cl722,plain,
    ! [X14: $i] :
      ( ( '#form104' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl726,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form100' @ X4 @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl714,zip_derived_cl722]) ).

thf(zip_derived_cl726_047,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form100' @ X4 @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl714,zip_derived_cl722]) ).

thf(zip_derived_cl740,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form108' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl742,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form108' @ X4 @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl726,zip_derived_cl740]) ).

thf(zip_derived_cl407_048,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl752,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X2 @ X4 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form108' @ X4 @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl742,zip_derived_cl407]) ).

thf(zip_derived_cl763,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form108' @ X4 @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form33' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl752]) ).

thf(zip_derived_cl6,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ '#sk1' )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ '#sk1' )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( young @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( man @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( fellow @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( young @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( man @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( fellow @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y10: mworld] :
                                                                        ( ( mrel @ Y9 @ Y10 )
                                                                       => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( front @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( furniture @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( seat @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( old @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( dirty @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( white @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( car @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( chevy @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( lonely @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( way @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( street @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( event @ Y1 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( city @ Y0 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk1' @ Y9 )
                                                               => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ( ( eiw_di @ '#sk3' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk1' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk1' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk1' )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ '#sk1' )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( young @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( man @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( fellow @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( young @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( man @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( fellow @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( (~)
                                                              @ ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ Y8 @ Y9 )
                                                                   => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( front @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( furniture @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( seat @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( in @ Y0 @ '#sk3' @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( old @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( dirty @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( white @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( car @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( chevy @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( lonely @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( way @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( street @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( event @ Y0 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( city @ '#sk3' @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk1' @ Y8 )
                                                           => ( hollywood @ '#sk3' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ '#sk1' )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( young @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( man @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( fellow @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( young @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( man @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( fellow @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ Y8 @ Y9 )
                                                                 => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( front @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( furniture @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( seat @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y0 @ '#sk3' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( old @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( dirty @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( white @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( car @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( chevy @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( lonely @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( way @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( street @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( event @ Y0 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( city @ '#sk3' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( hollywood @ '#sk3' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16_049,plain,
    ( '#form4'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl22,plain,
    ( ~ '#form4'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk1' )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ '#sk1' )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( young @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( man @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( fellow @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( young @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( man @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( fellow @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ Y8 @ Y9 )
                                                                 => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( front @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( furniture @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( seat @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( in @ Y0 @ '#sk3' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( old @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( dirty @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( white @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( car @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( chevy @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( lonely @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( way @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( street @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( event @ Y0 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( city @ '#sk3' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk1' @ Y8 )
                                                         => ( hollywood @ '#sk3' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl29,plain,
    ( ( ( eiw_di @ '#sk6' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk1' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk1' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk1' )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( young @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( man @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( fellow @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( young @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( man @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( fellow @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( (~)
                                                        @ ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ Y7 @ Y8 )
                                                             => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( front @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( furniture @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( seat @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( in @ '#sk6' @ '#sk3' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( down @ '#sk6' @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( barrel @ '#sk6' @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( old @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( dirty @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( white @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( car @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( chevy @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( lonely @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( way @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( street @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( event @ '#sk6' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( city @ '#sk3' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk1' @ Y7 )
                                                     => ( hollywood @ '#sk3' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl36,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk1' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk1' )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( young @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( man @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( fellow @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( young @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( man @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( fellow @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( (~)
                                                      @ ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ Y7 @ Y8 )
                                                           => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( front @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( furniture @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( seat @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( in @ '#sk6' @ '#sk3' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( down @ '#sk6' @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( barrel @ '#sk6' @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( old @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( dirty @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( white @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( car @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( chevy @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( lonely @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( way @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( street @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( event @ '#sk6' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( city @ '#sk3' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk1' @ Y7 )
                                                   => ( hollywood @ '#sk3' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl43,plain,
    ( ( ( eiw_di @ '#sk8' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk1' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk1' )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( young @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( man @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( fellow @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( young @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( man @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( fellow @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( (~)
                                                  @ ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ Y6 @ Y7 )
                                                       => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( front @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( furniture @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( seat @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( in @ '#sk6' @ '#sk3' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( down @ '#sk6' @ '#sk8' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( barrel @ '#sk6' @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( old @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( dirty @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( white @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( car @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( chevy @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( lonely @ '#sk8' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( way @ '#sk8' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( street @ '#sk8' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( event @ '#sk6' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( city @ '#sk3' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk1' @ Y6 )
                                               => ( hollywood @ '#sk3' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl51,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk1' )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( young @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( man @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( fellow @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( young @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( man @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( fellow @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( (~)
                                                @ ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ Y6 @ Y7 )
                                                     => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( front @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( furniture @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( seat @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( in @ '#sk6' @ '#sk3' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( down @ '#sk6' @ '#sk8' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( barrel @ '#sk6' @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( old @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( dirty @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( white @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( car @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( chevy @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( lonely @ '#sk8' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( way @ '#sk8' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( street @ '#sk8' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( event @ '#sk6' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( city @ '#sk3' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk1' @ Y6 )
                                             => ( hollywood @ '#sk3' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl58,plain,
    ( ( ( eiw_di @ '#sk10' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk1' )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( young @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( man @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( fellow @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( young @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( man @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( fellow @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( (~)
                                            @ ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ Y5 @ Y6 )
                                                 => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( front @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( furniture @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( seat @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( in @ '#sk6' @ '#sk3' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( down @ '#sk6' @ '#sk8' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( barrel @ '#sk6' @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( old @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( dirty @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( white @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( car @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( chevy @ '#sk10' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( lonely @ '#sk8' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( way @ '#sk8' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( street @ '#sk8' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( event @ '#sk6' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( city @ '#sk3' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk1' @ Y5 )
                                         => ( hollywood @ '#sk3' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl66,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk1' )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( young @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( man @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( fellow @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( young @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( man @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( fellow @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ Y5 @ Y6 )
                                               => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( front @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( furniture @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( seat @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( in @ '#sk6' @ '#sk3' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( down @ '#sk6' @ '#sk8' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( barrel @ '#sk6' @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( old @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( dirty @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( white @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( car @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( chevy @ '#sk10' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( lonely @ '#sk8' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( way @ '#sk8' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( street @ '#sk8' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( event @ '#sk6' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( city @ '#sk3' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk1' @ Y5 )
                                       => ( hollywood @ '#sk3' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl73,plain,
    ( ( ( eiw_di @ '#sk12' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk1' )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( in @ Y3 @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( in @ Y2 @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( qmltpeq @ '#sk12' @ Y2 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( young @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( man @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( fellow @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( young @ '#sk12' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( man @ '#sk12' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( fellow @ '#sk12' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( (~)
                                      @ ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ Y4 @ Y5 )
                                           => ( qmltpeq @ '#sk12' @ Y0 @ Y5 ) ) ) ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( front @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( furniture @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( seat @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( in @ '#sk6' @ '#sk3' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( down @ '#sk6' @ '#sk8' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( barrel @ '#sk6' @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( old @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( dirty @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( white @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( car @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( chevy @ '#sk10' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( lonely @ '#sk8' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( way @ '#sk8' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( street @ '#sk8' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( event @ '#sk6' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( city @ '#sk3' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk1' @ Y4 )
                                   => ( hollywood @ '#sk3' @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl81,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk1' )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( in @ Y3 @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( in @ Y2 @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( qmltpeq @ '#sk12' @ Y2 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( young @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( man @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( fellow @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( young @ '#sk12' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( man @ '#sk12' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( fellow @ '#sk12' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( (~)
                                    @ ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ Y4 @ Y5 )
                                         => ( qmltpeq @ '#sk12' @ Y0 @ Y5 ) ) ) ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( front @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( furniture @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( seat @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( in @ '#sk6' @ '#sk3' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( down @ '#sk6' @ '#sk8' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( barrel @ '#sk6' @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( old @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( dirty @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( white @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( car @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( chevy @ '#sk10' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( lonely @ '#sk8' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( way @ '#sk8' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( street @ '#sk8' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( event @ '#sk6' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( city @ '#sk3' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk1' @ Y4 )
                                 => ( hollywood @ '#sk3' @ Y4 ) ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl88,plain,
    ( ( ( eiw_di @ '#sk14' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk1' )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( in @ Y2 @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( qmltpeq @ '#sk14' @ Y2 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( in @ Y1 @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( qmltpeq @ '#sk12' @ Y1 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( young @ '#sk14' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( man @ '#sk14' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( fellow @ '#sk14' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( young @ '#sk12' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( man @ '#sk12' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( fellow @ '#sk12' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ Y3 @ Y4 )
                                     => ( qmltpeq @ '#sk12' @ '#sk14' @ Y4 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( front @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( furniture @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( seat @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( in @ '#sk6' @ '#sk3' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( down @ '#sk6' @ '#sk8' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( barrel @ '#sk6' @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( old @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( dirty @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( white @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( car @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( chevy @ '#sk10' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( lonely @ '#sk8' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( way @ '#sk8' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( street @ '#sk8' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( event @ '#sk6' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( city @ '#sk3' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk1' @ Y3 )
                             => ( hollywood @ '#sk3' @ Y3 ) ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl96,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk1' )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( in @ Y2 @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( qmltpeq @ '#sk14' @ Y2 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( in @ Y1 @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( qmltpeq @ '#sk12' @ Y1 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( young @ '#sk14' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( man @ '#sk14' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( fellow @ '#sk14' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( young @ '#sk12' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( man @ '#sk12' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( fellow @ '#sk12' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ Y3 @ Y4 )
                                   => ( qmltpeq @ '#sk12' @ '#sk14' @ Y4 ) ) ) ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( front @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( furniture @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( seat @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( in @ '#sk6' @ '#sk3' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( down @ '#sk6' @ '#sk8' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( barrel @ '#sk6' @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( old @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( dirty @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( white @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( car @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( chevy @ '#sk10' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( lonely @ '#sk8' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( way @ '#sk8' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( street @ '#sk8' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( event @ '#sk6' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( city @ '#sk3' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk1' @ Y3 )
                           => ( hollywood @ '#sk3' @ Y3 ) ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl103,plain,
    ( ( ( eiw_di @ '#sk16' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk1' )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( in @ Y1 @ '#sk16' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( qmltpeq @ '#sk14' @ Y1 @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( in @ Y0 @ '#sk16' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( qmltpeq @ '#sk12' @ Y0 @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( young @ '#sk14' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( man @ '#sk14' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( fellow @ '#sk14' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( young @ '#sk12' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( man @ '#sk12' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( fellow @ '#sk12' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( (~)
                          @ ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ Y2 @ Y3 )
                               => ( qmltpeq @ '#sk12' @ '#sk14' @ Y3 ) ) ) ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( front @ '#sk16' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( furniture @ '#sk16' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( seat @ '#sk16' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( in @ '#sk6' @ '#sk3' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( down @ '#sk6' @ '#sk8' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( barrel @ '#sk6' @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( old @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( dirty @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( white @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( car @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( chevy @ '#sk10' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( lonely @ '#sk8' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( way @ '#sk8' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( street @ '#sk8' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( event @ '#sk6' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( city @ '#sk3' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk1' @ Y2 )
                       => ( hollywood @ '#sk3' @ Y2 ) ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl111,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk1' )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( in @ Y1 @ '#sk16' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( qmltpeq @ '#sk14' @ Y1 @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( in @ Y0 @ '#sk16' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( qmltpeq @ '#sk12' @ Y0 @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( young @ '#sk14' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( man @ '#sk14' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( fellow @ '#sk14' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( young @ '#sk12' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( man @ '#sk12' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( fellow @ '#sk12' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ Y2 @ Y3 )
                             => ( qmltpeq @ '#sk12' @ '#sk14' @ Y3 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( front @ '#sk16' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( furniture @ '#sk16' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( seat @ '#sk16' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( in @ '#sk6' @ '#sk3' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( down @ '#sk6' @ '#sk8' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( barrel @ '#sk6' @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( old @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( dirty @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( white @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( car @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( chevy @ '#sk10' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( lonely @ '#sk8' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( way @ '#sk8' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( street @ '#sk8' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( event @ '#sk6' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( city @ '#sk3' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk1' @ Y2 )
                     => ( hollywood @ '#sk3' @ Y2 ) ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl118,plain,
    ( ( ( eiw_di @ '#sk18' @ '#sk1' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk1' )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( in @ Y0 @ '#sk16' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( qmltpeq @ '#sk14' @ Y0 @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( in @ '#sk18' @ '#sk16' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( qmltpeq @ '#sk12' @ '#sk18' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( young @ '#sk14' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( man @ '#sk14' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( fellow @ '#sk14' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( young @ '#sk12' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( man @ '#sk12' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( fellow @ '#sk12' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( (~)
                    @ ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ Y1 @ Y2 )
                         => ( qmltpeq @ '#sk12' @ '#sk14' @ Y2 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( front @ '#sk16' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( furniture @ '#sk16' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( seat @ '#sk16' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( in @ '#sk6' @ '#sk3' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( down @ '#sk6' @ '#sk8' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( barrel @ '#sk6' @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( old @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( dirty @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( white @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( car @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( chevy @ '#sk10' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( lonely @ '#sk8' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( way @ '#sk8' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( street @ '#sk8' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( event @ '#sk6' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( city @ '#sk3' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk1' @ Y1 )
                 => ( hollywood @ '#sk3' @ Y1 ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl126,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk1' )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( in @ Y0 @ '#sk16' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( qmltpeq @ '#sk14' @ Y0 @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( in @ '#sk18' @ '#sk16' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( qmltpeq @ '#sk12' @ '#sk18' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( young @ '#sk14' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( man @ '#sk14' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( fellow @ '#sk14' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( young @ '#sk12' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( man @ '#sk12' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( fellow @ '#sk12' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ Y1 @ Y2 )
                       => ( qmltpeq @ '#sk12' @ '#sk14' @ Y2 ) ) ) ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( front @ '#sk16' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( furniture @ '#sk16' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( seat @ '#sk16' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( in @ '#sk6' @ '#sk3' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( down @ '#sk6' @ '#sk8' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( barrel @ '#sk6' @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( old @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( dirty @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( white @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( car @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( chevy @ '#sk10' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( lonely @ '#sk8' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( way @ '#sk8' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( street @ '#sk8' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( event @ '#sk6' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( city @ '#sk3' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk1' @ Y1 )
               => ( hollywood @ '#sk3' @ Y1 ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl133,plain,
    ( ( ( eiw_di @ '#sk20' @ '#sk1' )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( in @ '#sk20' @ '#sk16' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( qmltpeq @ '#sk14' @ '#sk20' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( in @ '#sk18' @ '#sk16' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( qmltpeq @ '#sk12' @ '#sk18' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( young @ '#sk14' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( man @ '#sk14' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( fellow @ '#sk14' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( young @ '#sk12' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( man @ '#sk12' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( fellow @ '#sk12' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( (~)
              @ ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( qmltpeq @ '#sk12' @ '#sk14' @ Y1 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( front @ '#sk16' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( furniture @ '#sk16' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( seat @ '#sk16' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( in @ '#sk6' @ '#sk3' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( down @ '#sk6' @ '#sk8' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( barrel @ '#sk6' @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( old @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( dirty @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( white @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( car @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( chevy @ '#sk10' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( lonely @ '#sk8' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( way @ '#sk8' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( street @ '#sk8' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( event @ '#sk6' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( city @ '#sk3' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk1' @ Y0 )
           => ( hollywood @ '#sk3' @ Y0 ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl141,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( in @ '#sk20' @ '#sk16' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl202,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( in @ '#sk20' @ '#sk16' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl263,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( in @ '#sk20' @ '#sk16' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl202]) ).

thf(zip_derived_cl762,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form108' @ X4 @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( in @ X18 @ X14 @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form33' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl752]) ).

thf(zip_derived_cl150,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( fellow @ '#sk12' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl211,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( fellow @ '#sk12' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl272,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( fellow @ '#sk12' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl546_050,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl547,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk61' @ X12 ) )
         => ( fellow @ X12 @ ( '#sk61' @ X12 ) ) )
      | ( '#form60' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl546]) ).

thf(zip_derived_cl562,plain,
    ! [X12: $i] :
      ( ~ ( fellow @ X12 @ ( '#sk61' @ X12 ) )
      | ( '#form60' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl547]) ).

thf(zip_derived_cl880,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk61' @ '#sk12' ) )
    | ( '#form60' @ '#sk12' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl562]) ).

thf(zip_derived_cl561,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk61' @ X12 ) )
      | ( '#form60' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl547]) ).

thf(zip_derived_cl894,plain,
    ( ( '#form60' @ '#sk12' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl880,zip_derived_cl561]) ).

thf(zip_derived_cl149,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( man @ '#sk12' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl210,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( man @ '#sk12' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl271,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( man @ '#sk12' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).

thf(zip_derived_cl518_051,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl519,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk53' @ X12 ) )
         => ( man @ X12 @ ( '#sk53' @ X12 ) ) )
      | ( '#form52' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl518]) ).

thf(zip_derived_cl534,plain,
    ! [X12: $i] :
      ( ~ ( man @ X12 @ ( '#sk53' @ X12 ) )
      | ( '#form52' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl860,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk53' @ '#sk12' ) )
    | ( '#form52' @ '#sk12' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl534]) ).

thf(zip_derived_cl533,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk53' @ X12 ) )
      | ( '#form52' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl876,plain,
    ( ( '#form52' @ '#sk12' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl860,zip_derived_cl533]) ).

thf(zip_derived_cl80,plain,
    ( ( eiw_di @ '#sk12' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl95,plain,
    ( ( eiw_di @ '#sk14' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl140,plain,
    ( ( eiw_di @ '#sk20' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl464_052,plain,
    ! [X10: $i,X16: $i] :
      ( ( '#form39' @ X10 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl465,plain,
    ! [X10: $i,X16: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk25' @ X10 @ X16 ) )
         => ( qmltpeq @ X10 @ X16 @ ( '#sk25' @ X10 @ X16 ) ) )
      | ( '#form39' @ X10 @ X16 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl464]) ).

thf(zip_derived_cl479,plain,
    ! [X10: $i,X16: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk25' @ X10 @ X16 ) )
      | ( '#form39' @ X10 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl465]) ).

thf(zip_derived_cl163,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( lonely @ '#sk8' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl224,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( lonely @ '#sk8' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl285,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( lonely @ '#sk8' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl224]) ).

thf(zip_derived_cl683_053,plain,
    ! [X8: $i] :
      ( ( '#form92' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl684,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk93' @ X8 ) )
         => ( lonely @ X8 @ ( '#sk93' @ X8 ) ) )
      | ( '#form92' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl683]) ).

thf(zip_derived_cl700,plain,
    ! [X8: $i] :
      ( ~ ( lonely @ X8 @ ( '#sk93' @ X8 ) )
      | ( '#form92' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl684]) ).

thf(zip_derived_cl1021,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk93' @ '#sk8' ) )
    | ( '#form92' @ '#sk8' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl700]) ).

thf(zip_derived_cl699,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk93' @ X8 ) )
      | ( '#form92' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl684]) ).

thf(zip_derived_cl1030,plain,
    ( ( '#form92' @ '#sk8' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1021,zip_derived_cl699]) ).

thf(zip_derived_cl164,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( way @ '#sk8' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl225,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( way @ '#sk8' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl164]) ).

thf(zip_derived_cl286,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( way @ '#sk8' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl225]) ).

thf(zip_derived_cl652_054,plain,
    ! [X8: $i] :
      ( ( '#form84' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl653,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk85' @ X8 ) )
         => ( way @ X8 @ ( '#sk85' @ X8 ) ) )
      | ( '#form84' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl652]) ).

thf(zip_derived_cl669,plain,
    ! [X8: $i] :
      ( ~ ( way @ X8 @ ( '#sk85' @ X8 ) )
      | ( '#form84' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl653]) ).

thf(zip_derived_cl1034,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk85' @ '#sk8' ) )
    | ( '#form84' @ '#sk8' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl286,zip_derived_cl669]) ).

thf(zip_derived_cl668,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk85' @ X8 ) )
      | ( '#form84' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl653]) ).

thf(zip_derived_cl1042,plain,
    ( ( '#form84' @ '#sk8' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1034,zip_derived_cl668]) ).

thf(zip_derived_cl165,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( street @ '#sk8' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl226,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( street @ '#sk8' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl287,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( street @ '#sk8' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl226]) ).

thf(zip_derived_cl626_055,plain,
    ! [X8: $i] :
      ( ( '#form76' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl627,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk77' @ X8 ) )
         => ( street @ X8 @ ( '#sk77' @ X8 ) ) )
      | ( '#form76' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl626]) ).

thf(zip_derived_cl640,plain,
    ! [X8: $i] :
      ( ~ ( street @ X8 @ ( '#sk77' @ X8 ) )
      | ( '#form76' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl1043,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk77' @ '#sk8' ) )
    | ( '#form76' @ '#sk8' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl640]) ).

thf(zip_derived_cl639,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk77' @ X8 ) )
      | ( '#form76' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl1254,plain,
    ( ( '#form76' @ '#sk8' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1043,zip_derived_cl639]) ).

thf(zip_derived_cl50,plain,
    ( ( eiw_di @ '#sk8' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl561_056,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk61' @ X12 ) )
      | ( '#form60' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl547]) ).

thf(zip_derived_cl533_057,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk53' @ X12 ) )
      | ( '#form52' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl490_058,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl491,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk45' @ X12 ) )
         => ( young @ X12 @ ( '#sk45' @ X12 ) ) )
      | ( '#form44' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl490]) ).

thf(zip_derived_cl505,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk45' @ X12 ) )
      | ( '#form44' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl491]) ).

thf(zip_derived_cl142,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( qmltpeq @ '#sk14' @ '#sk20' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl203,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( qmltpeq @ '#sk14' @ '#sk20' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl142]) ).

thf(zip_derived_cl264,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( qmltpeq @ '#sk14' @ '#sk20' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl203]) ).

thf(zip_derived_cl366,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl407_059,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl410,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl366,zip_derived_cl407]) ).

thf(zip_derived_cl367_060,plain,
    ! [X2: $i] :
      ( ( '#form29' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl452,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl410,zip_derived_cl367]) ).

thf(zip_derived_cl464_061,plain,
    ! [X10: $i,X16: $i] :
      ( ( '#form39' @ X10 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl467,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl452,zip_derived_cl464]) ).

thf(zip_derived_cl453_062,plain,
    ! [X2: $i] :
      ( ( '#form35' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl481,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl467,zip_derived_cl453]) ).

thf(zip_derived_cl490_063,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl493,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl481,zip_derived_cl490]) ).

thf(zip_derived_cl482_064,plain,
    ! [X4: $i] :
      ( ( '#form40' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl507,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl493,zip_derived_cl482]) ).

thf(zip_derived_cl518_065,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl521,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl507,zip_derived_cl518]) ).

thf(zip_derived_cl508_066,plain,
    ! [X6: $i] :
      ( ( '#form48' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl535,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl521,zip_derived_cl508]) ).

thf(zip_derived_cl546_067,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl549,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl535,zip_derived_cl546]) ).

thf(zip_derived_cl536_068,plain,
    ! [X6: $i] :
      ( ( '#form56' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl563,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl549,zip_derived_cl536]) ).

thf(zip_derived_cl490_069,plain,
    ! [X12: $i] :
      ( ( '#form44' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl575,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl563,zip_derived_cl490]) ).

thf(zip_derived_cl564_070,plain,
    ! [X6: $i] :
      ( ( '#form64' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl585,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl575,zip_derived_cl564]) ).

thf(zip_derived_cl518_071,plain,
    ! [X12: $i] :
      ( ( '#form52' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl595,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl585,zip_derived_cl518]) ).

thf(zip_derived_cl586_072,plain,
    ! [X6: $i] :
      ( ( '#form68' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl605,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl595,zip_derived_cl586]) ).

thf(zip_derived_cl546_073,plain,
    ! [X12: $i] :
      ( ( '#form60' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl615,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl605,zip_derived_cl546]) ).

thf(zip_derived_cl606_074,plain,
    ! [X6: $i] :
      ( ( '#form72' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl625,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl615,zip_derived_cl606]) ).

thf(zip_derived_cl634_075,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form80' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl637,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl625,zip_derived_cl634]) ).

thf(zip_derived_cl626_076,plain,
    ! [X8: $i] :
      ( ( '#form76' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( street @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl651,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl637,zip_derived_cl626]) ).

thf(zip_derived_cl662_077,plain,
    ! [X14: $i] :
      ( ( '#form88' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl666,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl651,zip_derived_cl662]) ).

thf(zip_derived_cl652_078,plain,
    ! [X8: $i] :
      ( ( '#form84' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( way @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl682,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl666,zip_derived_cl652]) ).

thf(zip_derived_cl694_079,plain,
    ! [X14: $i] :
      ( ( '#form96' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl697,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl682,zip_derived_cl694]) ).

thf(zip_derived_cl683_080,plain,
    ! [X8: $i] :
      ( ( '#form92' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( lonely @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl711,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl697,zip_derived_cl683]) ).

thf(zip_derived_cl722_081,plain,
    ! [X14: $i] :
      ( ( '#form104' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl725,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl711,zip_derived_cl722]) ).

thf(zip_derived_cl712_082,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form100' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl739,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl725,zip_derived_cl712]) ).

thf(zip_derived_cl407_083,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl751,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X2 @ X4 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form100' @ X4 @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl739,zip_derived_cl407]) ).

thf(zip_derived_cl740_084,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form108' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl761,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form108' @ X4 @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ~ ( qmltpeq @ X12 @ X18 @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form33' @ X2 @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl751,zip_derived_cl740]) ).

thf(zip_derived_cl634_085,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form80' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl635,plain,
    ! [X10: $i,X12: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk81' @ X10 @ X12 ) )
         => ( (~)
            @ ( !!
              @ ^ [Y0: mworld] :
                  ( ( mrel @ ( '#sk81' @ X10 @ X12 ) @ Y0 )
                 => ( qmltpeq @ X10 @ X12 @ Y0 ) ) ) ) )
      | ( '#form80' @ X10 @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl634]) ).

thf(zip_derived_cl649,plain,
    ! [X10: $i,X12: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk81' @ X10 @ X12 ) )
      | ( '#form80' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl635]) ).

thf(zip_derived_cl151,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( (~)
            @ ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( qmltpeq @ '#sk12' @ '#sk14' @ Y1 ) ) ) ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl212,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( (~)
          @ ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ X2 @ Y0 )
               => ( qmltpeq @ '#sk12' @ '#sk14' @ Y0 ) ) ) ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl273,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ X2 @ Y0 )
             => ( qmltpeq @ '#sk12' @ '#sk14' @ Y0 ) ) )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl325,plain,
    ! [X2: mworld] :
      ( ~ ( ( mrel @ X2 @ ( '#sk24' @ X2 ) )
         => ( qmltpeq @ '#sk12' @ '#sk14' @ ( '#sk24' @ X2 ) ) )
      | ~ '#form4'
      | ~ ( mrel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl273]) ).

thf(zip_derived_cl364,plain,
    ! [X2: mworld] :
      ( ~ ( qmltpeq @ '#sk12' @ '#sk14' @ ( '#sk24' @ X2 ) )
      | ~ ( mrel @ '#sk1' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl325]) ).

thf(zip_derived_cl740_086,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form108' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl741,plain,
    ! [X4: $i,X8: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk109' @ X4 @ X8 ) )
         => ( down @ X4 @ X8 @ ( '#sk109' @ X4 @ X8 ) ) )
      | ( '#form108' @ X4 @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl740]) ).

thf(zip_derived_cl753,plain,
    ! [X4: $i,X8: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk109' @ X4 @ X8 ) )
      | ( '#form108' @ X4 @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl741]) ).

thf(zip_derived_cl158,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( old @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl219,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( old @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl158]) ).

thf(zip_derived_cl280,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( old @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl219]) ).

thf(zip_derived_cl606_087,plain,
    ! [X6: $i] :
      ( ( '#form72' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( old @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl607,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk73' @ X6 ) )
         => ( old @ X6 @ ( '#sk73' @ X6 ) ) )
      | ( '#form72' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl606]) ).

thf(zip_derived_cl618,plain,
    ! [X6: $i] :
      ( ~ ( old @ X6 @ ( '#sk73' @ X6 ) )
      | ( '#form72' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl607]) ).

thf(zip_derived_cl943,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk73' @ '#sk10' ) )
    | ( '#form72' @ '#sk10' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl618]) ).

thf(zip_derived_cl617,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk73' @ X6 ) )
      | ( '#form72' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl607]) ).

thf(zip_derived_cl958,plain,
    ( ( '#form72' @ '#sk10' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl943,zip_derived_cl617]) ).

thf(zip_derived_cl159,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( dirty @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl220,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( dirty @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl159]) ).

thf(zip_derived_cl281,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( dirty @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl220]) ).

thf(zip_derived_cl586_088,plain,
    ! [X6: $i] :
      ( ( '#form68' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( dirty @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl587,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk69' @ X6 ) )
         => ( dirty @ X6 @ ( '#sk69' @ X6 ) ) )
      | ( '#form68' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl586]) ).

thf(zip_derived_cl598,plain,
    ! [X6: $i] :
      ( ~ ( dirty @ X6 @ ( '#sk69' @ X6 ) )
      | ( '#form68' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl587]) ).

thf(zip_derived_cl963,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk69' @ '#sk10' ) )
    | ( '#form68' @ '#sk10' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl598]) ).

thf(zip_derived_cl597,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk69' @ X6 ) )
      | ( '#form68' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl587]) ).

thf(zip_derived_cl970,plain,
    ( ( '#form68' @ '#sk10' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl963,zip_derived_cl597]) ).

thf(zip_derived_cl160,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( white @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl221,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( white @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl282,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( white @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl221]) ).

thf(zip_derived_cl564_089,plain,
    ! [X6: $i] :
      ( ( '#form64' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( white @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl565,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk65' @ X6 ) )
         => ( white @ X6 @ ( '#sk65' @ X6 ) ) )
      | ( '#form64' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl564]) ).

thf(zip_derived_cl578,plain,
    ! [X6: $i] :
      ( ~ ( white @ X6 @ ( '#sk65' @ X6 ) )
      | ( '#form64' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl565]) ).

thf(zip_derived_cl983,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk65' @ '#sk10' ) )
    | ( '#form64' @ '#sk10' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl578]) ).

thf(zip_derived_cl577,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk65' @ X6 ) )
      | ( '#form64' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl565]) ).

thf(zip_derived_cl990,plain,
    ( ( '#form64' @ '#sk10' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl983,zip_derived_cl577]) ).

thf(zip_derived_cl161,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( car @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl222,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( car @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl161]) ).

thf(zip_derived_cl283,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( car @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl222]) ).

thf(zip_derived_cl536_090,plain,
    ! [X6: $i] :
      ( ( '#form56' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( car @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl537,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk57' @ X6 ) )
         => ( car @ X6 @ ( '#sk57' @ X6 ) ) )
      | ( '#form56' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl536]) ).

thf(zip_derived_cl552,plain,
    ! [X6: $i] :
      ( ~ ( car @ X6 @ ( '#sk57' @ X6 ) )
      | ( '#form56' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl537]) ).

thf(zip_derived_cl999,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk57' @ '#sk10' ) )
    | ( '#form56' @ '#sk10' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl552]) ).

thf(zip_derived_cl551,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk57' @ X6 ) )
      | ( '#form56' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl537]) ).

thf(zip_derived_cl1006,plain,
    ( ( '#form56' @ '#sk10' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl999,zip_derived_cl551]) ).

thf(zip_derived_cl162,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( chevy @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl223,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( chevy @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl162]) ).

thf(zip_derived_cl284,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( chevy @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl508_091,plain,
    ! [X6: $i] :
      ( ( '#form48' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( chevy @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl509,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk49' @ X6 ) )
         => ( chevy @ X6 @ ( '#sk49' @ X6 ) ) )
      | ( '#form48' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl508]) ).

thf(zip_derived_cl524,plain,
    ! [X6: $i] :
      ( ~ ( chevy @ X6 @ ( '#sk49' @ X6 ) )
      | ( '#form48' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl509]) ).

thf(zip_derived_cl1008,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk49' @ '#sk10' ) )
    | ( '#form48' @ '#sk10' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl524]) ).

thf(zip_derived_cl523,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk49' @ X6 ) )
      | ( '#form48' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl509]) ).

thf(zip_derived_cl1018,plain,
    ( ( '#form48' @ '#sk10' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1008,zip_derived_cl523]) ).

thf(zip_derived_cl65,plain,
    ( ( eiw_di @ '#sk10' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl148,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( young @ '#sk12' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl209,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( young @ '#sk12' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl148]) ).

thf(zip_derived_cl270,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( young @ '#sk12' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).

thf(zip_derived_cl144,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( qmltpeq @ '#sk12' @ '#sk18' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl205,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( qmltpeq @ '#sk12' @ '#sk18' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl266,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( qmltpeq @ '#sk12' @ '#sk18' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl205]) ).

thf(zip_derived_cl480,plain,
    ! [X10: $i,X16: $i] :
      ( ~ ( qmltpeq @ X10 @ X16 @ ( '#sk25' @ X10 @ X16 ) )
      | ( '#form39' @ X10 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl465]) ).

thf(zip_derived_cl363,plain,
    ! [X2: mworld] :
      ( ( mrel @ X2 @ ( '#sk24' @ X2 ) )
      | ~ ( mrel @ '#sk1' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl325]) ).

thf(zip_derived_cl650,plain,
    ! [X10: $i,X12: $i] :
      ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ ( '#sk81' @ X10 @ X12 ) @ Y0 )
           => ( qmltpeq @ X10 @ X12 @ Y0 ) ) )
      | ( '#form80' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl635]) ).

thf(zip_derived_cl665,plain,
    ! [X10: $i,X12: $i,X14: mworld] :
      ( ( ( mrel @ ( '#sk81' @ X10 @ X12 ) @ X14 )
       => ( qmltpeq @ X10 @ X12 @ X14 ) )
      | ( '#form80' @ X10 @ X12 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl650]) ).

thf(zip_derived_cl681,plain,
    ! [X10: $i,X12: $i,X14: mworld] :
      ( ~ ( mrel @ ( '#sk81' @ X10 @ X12 ) @ X14 )
      | ( qmltpeq @ X10 @ X12 @ X14 )
      | ( '#form80' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl665]) ).

thf(zip_derived_cl156,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( down @ '#sk6' @ '#sk8' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl217,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( down @ '#sk6' @ '#sk8' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl156]) ).

thf(zip_derived_cl278,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( down @ '#sk6' @ '#sk8' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl217]) ).

thf(zip_derived_cl754,plain,
    ! [X4: $i,X8: $i] :
      ( ~ ( down @ X4 @ X8 @ ( '#sk109' @ X4 @ X8 ) )
      | ( '#form108' @ X4 @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl741]) ).

thf(zip_derived_cl712_092,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form100' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl713,plain,
    ! [X4: $i,X6: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk101' @ X4 @ X6 ) )
         => ( barrel @ X4 @ X6 @ ( '#sk101' @ X4 @ X6 ) ) )
      | ( '#form100' @ X4 @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl712]) ).

thf(zip_derived_cl727,plain,
    ! [X4: $i,X6: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk101' @ X4 @ X6 ) )
      | ( '#form100' @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl713]) ).

thf(zip_derived_cl166,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( event @ '#sk6' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl227,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( event @ '#sk6' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl288,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( event @ '#sk6' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl227]) ).

thf(zip_derived_cl482_093,plain,
    ! [X4: $i] :
      ( ( '#form40' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl483,plain,
    ! [X4: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk41' @ X4 ) )
         => ( event @ X4 @ ( '#sk41' @ X4 ) ) )
      | ( '#form40' @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl482]) ).

thf(zip_derived_cl496,plain,
    ! [X4: $i] :
      ( ~ ( event @ X4 @ ( '#sk41' @ X4 ) )
      | ( '#form40' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl483]) ).

thf(zip_derived_cl1052,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk41' @ '#sk6' ) )
    | ( '#form40' @ '#sk6' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl496]) ).

thf(zip_derived_cl495,plain,
    ! [X4: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk41' @ X4 ) )
      | ( '#form40' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl483]) ).

thf(zip_derived_cl1310,plain,
    ( ( '#form40' @ '#sk6' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1052,zip_derived_cl495]) ).

thf(zip_derived_cl167,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( city @ '#sk3' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl228,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( city @ '#sk3' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl167]) ).

thf(zip_derived_cl289,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( city @ '#sk3' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl228]) ).

thf(zip_derived_cl453_094,plain,
    ! [X2: $i] :
      ( ( '#form35' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl454,plain,
    ! [X2: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk36' @ X2 ) )
         => ( city @ X2 @ ( '#sk36' @ X2 ) ) )
      | ( '#form35' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl453]) ).

thf(zip_derived_cl470,plain,
    ! [X2: $i] :
      ( ~ ( city @ X2 @ ( '#sk36' @ X2 ) )
      | ( '#form35' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl454]) ).

thf(zip_derived_cl1060,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk36' @ '#sk3' ) )
    | ( '#form35' @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl470]) ).

thf(zip_derived_cl469,plain,
    ! [X2: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk36' @ X2 ) )
      | ( '#form35' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl454]) ).

thf(zip_derived_cl1358,plain,
    ( ( '#form35' @ '#sk3' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl1060,zip_derived_cl469]) ).

thf(zip_derived_cl35,plain,
    ( ( eiw_di @ '#sk6' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl14,plain,
    ( ( eiw_di @ '#sk3' @ '#sk1' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16_095,plain,
    ( '#form4'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl21,plain,
    ( ~ '#form4'
    | ( eiw_di @ '#sk3' @ '#sk1' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).

thf(zip_derived_cl147,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( fellow @ '#sk14' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl208,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( fellow @ '#sk14' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl269,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( fellow @ '#sk14' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl208]) ).

thf(zip_derived_cl562_096,plain,
    ! [X12: $i] :
      ( ~ ( fellow @ X12 @ ( '#sk61' @ X12 ) )
      | ( '#form60' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl547]) ).

thf(zip_derived_cl146,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( man @ '#sk14' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl207,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( man @ '#sk14' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).

thf(zip_derived_cl268,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( man @ '#sk14' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl207]) ).

thf(zip_derived_cl534_097,plain,
    ! [X12: $i] :
      ( ~ ( man @ X12 @ ( '#sk53' @ X12 ) )
      | ( '#form52' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl519]) ).

thf(zip_derived_cl145,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( young @ '#sk14' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl206,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( young @ '#sk14' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl145]) ).

thf(zip_derived_cl267,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( young @ '#sk14' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl206]) ).

thf(zip_derived_cl506,plain,
    ! [X12: $i] :
      ( ~ ( young @ X12 @ ( '#sk45' @ X12 ) )
      | ( '#form44' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl491]) ).

thf(zip_derived_cl157,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( barrel @ '#sk6' @ '#sk10' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl218,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( barrel @ '#sk6' @ '#sk10' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl157]) ).

thf(zip_derived_cl279,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( barrel @ '#sk6' @ '#sk10' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl728,plain,
    ! [X4: $i,X6: $i] :
      ( ~ ( barrel @ X4 @ X6 @ ( '#sk101' @ X4 @ X6 ) )
      | ( '#form100' @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl713]) ).

thf(zip_derived_cl367_098,plain,
    ! [X2: $i] :
      ( ( '#form29' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl368,plain,
    ! [X2: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk30' @ X2 ) )
         => ( hollywood @ X2 @ ( '#sk30' @ X2 ) ) )
      | ( '#form29' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl367]) ).

thf(zip_derived_cl412,plain,
    ! [X2: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk30' @ X2 ) )
      | ( '#form29' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl368]) ).

thf(zip_derived_cl154,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( seat @ '#sk16' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl215,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( seat @ '#sk16' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl154]) ).

thf(zip_derived_cl276,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( seat @ '#sk16' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl215]) ).

thf(zip_derived_cl722_099,plain,
    ! [X14: $i] :
      ( ( '#form104' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl723,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk105' @ X14 ) )
         => ( seat @ X14 @ ( '#sk105' @ X14 ) ) )
      | ( '#form104' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl722]) ).

thf(zip_derived_cl738,plain,
    ! [X14: $i] :
      ( ~ ( seat @ X14 @ ( '#sk105' @ X14 ) )
      | ( '#form104' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl723]) ).

thf(zip_derived_cl928,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk105' @ '#sk16' ) )
    | ( '#form104' @ '#sk16' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl738]) ).

thf(zip_derived_cl737,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk105' @ X14 ) )
      | ( '#form104' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl723]) ).

thf(zip_derived_cl938,plain,
    ( ( '#form104' @ '#sk16' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl928,zip_derived_cl737]) ).

thf(zip_derived_cl153,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( furniture @ '#sk16' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl214,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( furniture @ '#sk16' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).

thf(zip_derived_cl275,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( furniture @ '#sk16' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl214]) ).

thf(zip_derived_cl694_100,plain,
    ! [X14: $i] :
      ( ( '#form96' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl695,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk97' @ X14 ) )
         => ( furniture @ X14 @ ( '#sk97' @ X14 ) ) )
      | ( '#form96' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl694]) ).

thf(zip_derived_cl710,plain,
    ! [X14: $i] :
      ( ~ ( furniture @ X14 @ ( '#sk97' @ X14 ) )
      | ( '#form96' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl695]) ).

thf(zip_derived_cl908,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk97' @ '#sk16' ) )
    | ( '#form96' @ '#sk16' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl710]) ).

thf(zip_derived_cl709,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk97' @ X14 ) )
      | ( '#form96' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl695]) ).

thf(zip_derived_cl924,plain,
    ( ( '#form96' @ '#sk16' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl908,zip_derived_cl709]) ).

thf(zip_derived_cl152,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( front @ '#sk16' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl213,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( front @ '#sk16' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl274,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( front @ '#sk16' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl213]) ).

thf(zip_derived_cl662_101,plain,
    ! [X14: $i] :
      ( ( '#form88' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl663,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk89' @ X14 ) )
         => ( front @ X14 @ ( '#sk89' @ X14 ) ) )
      | ( '#form88' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl662]) ).

thf(zip_derived_cl680,plain,
    ! [X14: $i] :
      ( ~ ( front @ X14 @ ( '#sk89' @ X14 ) )
      | ( '#form88' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl663]) ).

thf(zip_derived_cl899,plain,
    ( ~ '#form4'
    | ~ ( mrel @ '#sk1' @ ( '#sk89' @ '#sk16' ) )
    | ( '#form88' @ '#sk16' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl680]) ).

thf(zip_derived_cl679,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk89' @ X14 ) )
      | ( '#form88' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl663]) ).

thf(zip_derived_cl906,plain,
    ( ( '#form88' @ '#sk16' )
    | ~ '#form4' ),
    inference(clc,[status(thm)],[zip_derived_cl899,zip_derived_cl679]) ).

thf(zip_derived_cl110,plain,
    ( ( eiw_di @ '#sk16' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl125,plain,
    ( ( eiw_di @ '#sk18' @ '#sk1' )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl16_102,plain,
    ( '#form4'
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl17,plain,
    ( ~ ( ( mrel @ mactual @ '#sk2' )
       => ( ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk2' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( lonely @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( way @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( street @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( old @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( dirty @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( white @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( car @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( chevy @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
         => ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk2' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( old @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( dirty @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( white @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( car @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( chevy @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( lonely @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( way @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( street @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk2' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( lonely @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( way @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( street @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( old @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( dirty @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( white @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( car @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( chevy @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk2' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( old @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( dirty @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( white @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( car @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( chevy @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( lonely @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( way @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( street @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl31,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y8: $i] :
                                                          ( ( eiw_di @ Y8 @ '#sk2' )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( young @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( man @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( fellow @ Y5 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( young @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( man @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( fellow @ Y4 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y10: mworld] :
                                                                        ( ( mrel @ Y9 @ Y10 )
                                                                       => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( front @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( furniture @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( seat @ Y6 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( lonely @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( way @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( street @ Y3 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( old @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( dirty @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( white @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( car @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( chevy @ Y2 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( event @ Y1 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( city @ Y0 @ Y9 ) ) )
                                                          & ( !!
                                                            @ ^ [Y9: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y9 )
                                                               => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl38,plain,
    ( ( ( eiw_di @ '#sk5' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk2' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk2' )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ '#sk2' )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( young @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( man @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( fellow @ Y4 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( young @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( man @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( fellow @ Y3 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( (~)
                                                              @ ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ Y8 @ Y9 )
                                                                   => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( front @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( furniture @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( seat @ Y5 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( in @ Y0 @ '#sk5' @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( lonely @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( way @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( street @ Y2 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( old @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( dirty @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( white @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( car @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( chevy @ Y1 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( event @ Y0 @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( city @ '#sk5' @ Y8 ) ) )
                                                      & ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ '#sk2' @ Y8 )
                                                           => ( hollywood @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl46,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y7: $i] :
                                                    ( ( eiw_di @ Y7 @ '#sk2' )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( young @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( man @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( fellow @ Y4 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( young @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( man @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( fellow @ Y3 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ Y8 @ Y9 )
                                                                 => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( front @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( furniture @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( seat @ Y5 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( in @ Y0 @ '#sk5' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( down @ Y0 @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( barrel @ Y0 @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( lonely @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( way @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( street @ Y2 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( old @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( dirty @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( white @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( car @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( chevy @ Y1 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( event @ Y0 @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( city @ '#sk5' @ Y8 ) ) )
                                                    & ( !!
                                                      @ ^ [Y8: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y8 )
                                                         => ( hollywood @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl53,plain,
    ( ( ( eiw_di @ '#sk7' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk2' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk2' )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( young @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( man @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( fellow @ Y3 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( young @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( man @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( fellow @ Y2 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( (~)
                                                        @ ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ Y7 @ Y8 )
                                                             => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( front @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( furniture @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( seat @ Y4 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( in @ '#sk7' @ '#sk5' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( down @ '#sk7' @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( barrel @ '#sk7' @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( lonely @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( way @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( street @ Y1 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( old @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( dirty @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( white @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( car @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( chevy @ Y0 @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( event @ '#sk7' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( city @ '#sk5' @ Y7 ) ) )
                                                & ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ '#sk2' @ Y7 )
                                                     => ( hollywood @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl61,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y6: $i] :
                                              ( ( eiw_di @ Y6 @ '#sk2' )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( young @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( man @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( fellow @ Y3 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( young @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( man @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( fellow @ Y2 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( (~)
                                                      @ ( !!
                                                        @ ^ [Y8: mworld] :
                                                            ( ( mrel @ Y7 @ Y8 )
                                                           => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( front @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( furniture @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( seat @ Y4 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( in @ '#sk7' @ '#sk5' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( down @ '#sk7' @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( barrel @ '#sk7' @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( lonely @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( way @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( street @ Y1 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( old @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( dirty @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( white @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( car @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( chevy @ Y0 @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( event @ '#sk7' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( city @ '#sk5' @ Y7 ) ) )
                                              & ( !!
                                                @ ^ [Y7: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y7 )
                                                   => ( hollywood @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl68,plain,
    ( ( ( eiw_di @ '#sk9' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk2' )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( young @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( man @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( fellow @ Y2 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( young @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( man @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( fellow @ Y1 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( (~)
                                                  @ ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ Y6 @ Y7 )
                                                       => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( front @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( furniture @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( seat @ Y3 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( in @ '#sk7' @ '#sk5' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( down @ '#sk7' @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( barrel @ '#sk7' @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( lonely @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( way @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( street @ Y0 @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( old @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( dirty @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( white @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( car @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( chevy @ '#sk9' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( event @ '#sk7' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( city @ '#sk5' @ Y6 ) ) )
                                          & ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ '#sk2' @ Y6 )
                                               => ( hollywood @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl76,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y5: $i] :
                                        ( ( eiw_di @ Y5 @ '#sk2' )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( young @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( man @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( fellow @ Y2 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( young @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( man @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( fellow @ Y1 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( (~)
                                                @ ( !!
                                                  @ ^ [Y7: mworld] :
                                                      ( ( mrel @ Y6 @ Y7 )
                                                     => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( front @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( furniture @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( seat @ Y3 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( in @ '#sk7' @ '#sk5' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( down @ '#sk7' @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( barrel @ '#sk7' @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( lonely @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( way @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( street @ Y0 @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( old @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( dirty @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( white @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( car @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( chevy @ '#sk9' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( event @ '#sk7' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( city @ '#sk5' @ Y6 ) ) )
                                        & ( !!
                                          @ ^ [Y6: mworld] :
                                              ( ( mrel @ '#sk2' @ Y6 )
                                             => ( hollywood @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl83,plain,
    ( ( ( eiw_di @ '#sk11' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( young @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( man @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( fellow @ Y1 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( young @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( man @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( fellow @ Y0 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( (~)
                                            @ ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ Y5 @ Y6 )
                                                 => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( front @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( furniture @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( seat @ Y2 @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( in @ '#sk7' @ '#sk5' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( down @ '#sk7' @ '#sk11' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( barrel @ '#sk7' @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( lonely @ '#sk11' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( way @ '#sk11' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( street @ '#sk11' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( old @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( dirty @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( white @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( car @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( chevy @ '#sk9' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( event @ '#sk7' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( city @ '#sk5' @ Y5 ) ) )
                                    & ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ '#sk2' @ Y5 )
                                         => ( hollywood @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl91,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( ??
                              @ ^ [Y4: $i] :
                                  ( ( eiw_di @ Y4 @ '#sk2' )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( young @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( man @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( fellow @ Y1 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( young @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( man @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( fellow @ Y0 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y6: mworld] :
                                                ( ( mrel @ Y5 @ Y6 )
                                               => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( front @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( furniture @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( seat @ Y2 @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( in @ '#sk7' @ '#sk5' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( down @ '#sk7' @ '#sk11' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( barrel @ '#sk7' @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( lonely @ '#sk11' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( way @ '#sk11' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( street @ '#sk11' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( old @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( dirty @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( white @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( car @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( chevy @ '#sk9' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( event @ '#sk7' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( city @ '#sk5' @ Y5 ) ) )
                                  & ( !!
                                    @ ^ [Y5: mworld] :
                                        ( ( mrel @ '#sk2' @ Y5 )
                                       => ( hollywood @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl98,plain,
    ( ( ( eiw_di @ '#sk13' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( in @ Y3 @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( in @ Y2 @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( qmltpeq @ '#sk13' @ Y2 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( young @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( man @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( fellow @ Y0 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( young @ '#sk13' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( man @ '#sk13' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( fellow @ '#sk13' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( (~)
                                      @ ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ Y4 @ Y5 )
                                           => ( qmltpeq @ '#sk13' @ Y0 @ Y5 ) ) ) ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( front @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( furniture @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( seat @ Y1 @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( in @ '#sk7' @ '#sk5' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( down @ '#sk7' @ '#sk11' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( barrel @ '#sk7' @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( lonely @ '#sk11' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( way @ '#sk11' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( street @ '#sk11' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( old @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( dirty @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( white @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( car @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( chevy @ '#sk9' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( event @ '#sk7' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( city @ '#sk5' @ Y4 ) ) )
                              & ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ '#sk2' @ Y4 )
                                   => ( hollywood @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl106,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ '#sk2' )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( in @ Y3 @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( in @ Y2 @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( qmltpeq @ '#sk13' @ Y2 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( young @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( man @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( fellow @ Y0 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( young @ '#sk13' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( man @ '#sk13' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( fellow @ '#sk13' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( (~)
                                    @ ( !!
                                      @ ^ [Y5: mworld] :
                                          ( ( mrel @ Y4 @ Y5 )
                                         => ( qmltpeq @ '#sk13' @ Y0 @ Y5 ) ) ) ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( front @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( furniture @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( seat @ Y1 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( in @ '#sk7' @ '#sk5' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( down @ '#sk7' @ '#sk11' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( barrel @ '#sk7' @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( lonely @ '#sk11' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( way @ '#sk11' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( street @ '#sk11' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( old @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( dirty @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( white @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( car @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( chevy @ '#sk9' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( event @ '#sk7' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( city @ '#sk5' @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: mworld] :
                                  ( ( mrel @ '#sk2' @ Y4 )
                                 => ( hollywood @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl113,plain,
    ( ( ( eiw_di @ '#sk15' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( in @ Y2 @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( qmltpeq @ '#sk15' @ Y2 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( in @ Y1 @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( qmltpeq @ '#sk13' @ Y1 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( young @ '#sk15' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( man @ '#sk15' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( fellow @ '#sk15' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( young @ '#sk13' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( man @ '#sk13' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( fellow @ '#sk13' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( (~)
                                @ ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ Y3 @ Y4 )
                                     => ( qmltpeq @ '#sk13' @ '#sk15' @ Y4 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( front @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( furniture @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( seat @ Y0 @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( in @ '#sk7' @ '#sk5' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( down @ '#sk7' @ '#sk11' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( barrel @ '#sk7' @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( lonely @ '#sk11' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( way @ '#sk11' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( street @ '#sk11' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( old @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( dirty @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( white @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( car @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( chevy @ '#sk9' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( event @ '#sk7' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( city @ '#sk5' @ Y3 ) ) )
                        & ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#sk2' @ Y3 )
                             => ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl121,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ '#sk2' )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( in @ Y2 @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( qmltpeq @ '#sk15' @ Y2 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( in @ Y1 @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( qmltpeq @ '#sk13' @ Y1 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( young @ '#sk15' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( man @ '#sk15' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( fellow @ '#sk15' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( young @ '#sk13' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( man @ '#sk13' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( fellow @ '#sk13' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y4: mworld] :
                                    ( ( mrel @ Y3 @ Y4 )
                                   => ( qmltpeq @ '#sk13' @ '#sk15' @ Y4 ) ) ) ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( front @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( furniture @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( seat @ Y0 @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( in @ '#sk7' @ '#sk5' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( down @ '#sk7' @ '#sk11' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( barrel @ '#sk7' @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( lonely @ '#sk11' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( way @ '#sk11' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( street @ '#sk11' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( old @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( dirty @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( white @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( car @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( chevy @ '#sk9' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( event @ '#sk7' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( city @ '#sk5' @ Y3 ) ) )
                      & ( !!
                        @ ^ [Y3: mworld] :
                            ( ( mrel @ '#sk2' @ Y3 )
                           => ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl128,plain,
    ( ( ( eiw_di @ '#sk17' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( in @ Y1 @ '#sk17' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( qmltpeq @ '#sk15' @ Y1 @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( in @ Y0 @ '#sk17' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( qmltpeq @ '#sk13' @ Y0 @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( young @ '#sk15' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( man @ '#sk15' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( fellow @ '#sk15' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( young @ '#sk13' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( man @ '#sk13' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( fellow @ '#sk13' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( (~)
                          @ ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ Y2 @ Y3 )
                               => ( qmltpeq @ '#sk13' @ '#sk15' @ Y3 ) ) ) ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( front @ '#sk17' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( furniture @ '#sk17' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( seat @ '#sk17' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( in @ '#sk7' @ '#sk5' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( down @ '#sk7' @ '#sk11' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( barrel @ '#sk7' @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( lonely @ '#sk11' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( way @ '#sk11' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( street @ '#sk11' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( old @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( dirty @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( white @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( car @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( chevy @ '#sk9' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( event @ '#sk7' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( city @ '#sk5' @ Y2 ) ) )
                  & ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#sk2' @ Y2 )
                       => ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl135,plain,
    ( ( eiw_di @ '#sk17' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl168,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( hollywood @ '#sk3' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl229,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( hollywood @ '#sk3' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl168]) ).

thf(zip_derived_cl290,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( hollywood @ '#sk3' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl413,plain,
    ! [X2: $i] :
      ( ~ ( hollywood @ X2 @ ( '#sk30' @ X2 ) )
      | ( '#form29' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl368]) ).

thf(zip_derived_cl407_103,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl408,plain,
    ! [X14: $i,X16: $i] :
      ( ~ ( ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X16 ) )
         => ( in @ X16 @ X14 @ ( '#sk22' @ X14 @ X16 ) ) )
      | ( '#form33' @ X14 @ X16 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl407]) ).

thf(zip_derived_cl450,plain,
    ! [X14: $i,X16: $i] :
      ( ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X16 ) )
      | ( '#form33' @ X14 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl90,plain,
    ( ( eiw_di @ '#sk11' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl708_104,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl696,zip_derived_cl683]) ).

thf(zip_derived_cl722_105,plain,
    ! [X14: $i] :
      ( ( '#form104' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl724,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl708,zip_derived_cl722]) ).

thf(zip_derived_cl712_106,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form100' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl736,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl724,zip_derived_cl712]) ).

thf(zip_derived_cl407_107,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form33' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl750,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form33' @ X2 @ X4 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ '#form4'
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ~ ( '#form29' @ X2 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form100' @ X4 @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl736,zip_derived_cl407]) ).

thf(zip_derived_cl740_108,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form108' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk1' @ Y0 )
             => ( down @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl760,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form108' @ X4 @ X8 )
      | ~ ( '#form100' @ X4 @ X6 )
      | ~ ( '#form92' @ X8 )
      | ~ ( '#form84' @ X8 )
      | ~ ( '#form76' @ X8 )
      | ~ ( '#form72' @ X6 )
      | ~ ( '#form68' @ X6 )
      | ~ ( '#form64' @ X6 )
      | ~ ( '#form56' @ X6 )
      | ~ ( '#form48' @ X6 )
      | ~ ( '#form40' @ X4 )
      | ~ ( '#form35' @ X2 )
      | ~ ( '#form29' @ X2 )
      | ( mrel @ '#sk1' @ ( '#sk25' @ X12 @ X18 ) )
      | ( mrel @ '#sk1' @ ( '#sk22' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk1' )
      | ~ ( eiw_di @ X16 @ '#sk1' )
      | ~ ( eiw_di @ X14 @ '#sk1' )
      | ~ ( eiw_di @ X12 @ '#sk1' )
      | ~ ( eiw_di @ X10 @ '#sk1' )
      | ~ ( eiw_di @ X8 @ '#sk1' )
      | ~ ( eiw_di @ X6 @ '#sk1' )
      | ~ ( eiw_di @ X4 @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk1' )
      | ~ '#form4'
      | ~ ( '#form33' @ X14 @ X16 )
      | ~ ( '#form39' @ X10 @ X16 )
      | ~ ( '#form44' @ X12 )
      | ~ ( '#form52' @ X12 )
      | ~ ( '#form60' @ X12 )
      | ~ ( '#form44' @ X10 )
      | ~ ( '#form52' @ X10 )
      | ~ ( '#form60' @ X10 )
      | ~ ( '#form80' @ X10 @ X12 )
      | ~ ( '#form88' @ X14 )
      | ~ ( '#form96' @ X14 )
      | ~ ( '#form104' @ X14 )
      | ~ ( '#form33' @ X2 @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl750,zip_derived_cl740]) ).

thf(zip_derived_cl155,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( in @ '#sk6' @ '#sk3' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl216,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( in @ '#sk6' @ '#sk3' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl277,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( in @ '#sk6' @ '#sk3' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl216]) ).

thf(zip_derived_cl3,plain,
    ( ( mrel @ mactual @ '#sk1' )
    | ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
             => ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ Y0 )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ Y0 )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ Y0 )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ Y0 )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ Y0 )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ Y0 )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ Y0 )
                                                              & ( ??
                                                                @ ^ [Y9: $i] :
                                                                    ( ( eiw_di @ Y9 @ Y0 )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y9 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y8 @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y6 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( young @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( man @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( fellow @ Y5 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( (~)
                                                                            @ ( !!
                                                                              @ ^ [Y11: mworld] :
                                                                                  ( ( mrel @ Y10 @ Y11 )
                                                                                 => ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( front @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( furniture @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( seat @ Y7 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( in @ Y2 @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( down @ Y2 @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( barrel @ Y2 @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( old @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( dirty @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( white @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( car @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( chevy @ Y4 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( lonely @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( way @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( street @ Y3 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( event @ Y2 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( city @ Y1 @ Y10 ) ) )
                                                                    & ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y0 @ Y10 )
                                                                         => ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( ( mrel @ mactual @ '#sk2' )
       => ( ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk2' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( lonely @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( way @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( street @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( old @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( dirty @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( white @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( car @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( chevy @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
         => ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( ??
                                                            @ ^ [Y8: $i] :
                                                                ( ( eiw_di @ Y8 @ '#sk2' )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y5 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( young @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( man @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( fellow @ Y4 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( (~)
                                                                        @ ( !!
                                                                          @ ^ [Y10: mworld] :
                                                                              ( ( mrel @ Y9 @ Y10 )
                                                                             => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( front @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( furniture @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( seat @ Y6 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( old @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( dirty @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( white @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( car @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( chevy @ Y3 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( lonely @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( way @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( street @ Y2 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( event @ Y1 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( city @ Y0 @ Y9 ) ) )
                                                                & ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ '#sk2' @ Y9 )
                                                                     => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk2' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( down @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( lonely @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( way @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( street @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( old @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( dirty @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( white @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( car @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( chevy @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( ??
                                                          @ ^ [Y8: $i] :
                                                              ( ( eiw_di @ Y8 @ '#sk2' )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y5 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( young @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( man @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( fellow @ Y4 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( (~)
                                                                      @ ( !!
                                                                        @ ^ [Y10: mworld] :
                                                                            ( ( mrel @ Y9 @ Y10 )
                                                                           => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( front @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( furniture @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( seat @ Y6 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( old @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( dirty @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( white @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( car @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( chevy @ Y3 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( lonely @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( way @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( street @ Y2 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( event @ Y1 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( city @ Y0 @ Y9 ) ) )
                                                              & ( !!
                                                                @ ^ [Y9: mworld] :
                                                                    ( ( mrel @ '#sk2' @ Y9 )
                                                                   => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk2' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk2' )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ '#sk2' )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ '#sk2' )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( young @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( man @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( fellow @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( young @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( man @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( fellow @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( (~)
                                                                    @ ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y9 @ Y10 )
                                                                         => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( front @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( furniture @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( seat @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( old @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( dirty @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( white @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( car @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( chevy @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( lonely @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( way @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( street @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( event @ Y1 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( city @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( young @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( man @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( fellow @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( young @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( man @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( fellow @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y9: mworld] :
                                                                        ( ( mrel @ Y8 @ Y9 )
                                                                       => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( front @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( furniture @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( seat @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( old @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( dirty @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( white @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( car @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( chevy @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( lonely @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( way @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( street @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( event @ Y0 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( city @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i] :
      ( ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( young @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( man @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( fellow @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( young @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( man @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( fellow @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( (~)
                                                                @ ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ Y8 @ Y9 )
                                                                     => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( front @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( furniture @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( seat @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( old @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( dirty @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( white @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( car @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( chevy @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( lonely @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( way @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( street @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( event @ Y0 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( city @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( eiw_di @ X4 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( young @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( man @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( fellow @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( young @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( man @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( fellow @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y8: mworld] :
                                                                  ( ( mrel @ Y7 @ Y8 )
                                                                 => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( front @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( furniture @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( seat @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ X4 @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( down @ X4 @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( barrel @ X4 @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( old @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( dirty @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( white @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( car @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( chevy @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( lonely @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( way @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( street @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( event @ X4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( city @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( young @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( man @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( fellow @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( young @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( man @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( fellow @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( (~)
                                                          @ ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ Y7 @ Y8 )
                                                               => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( front @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( furniture @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( seat @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ X4 @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( down @ X4 @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( barrel @ X4 @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( old @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( dirty @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( white @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( car @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( chevy @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( lonely @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( way @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( street @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( event @ X4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( city @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl49,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( eiw_di @ X6 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( young @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( man @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( fellow @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( young @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( man @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( fellow @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( (~)
                                                      @ ( !!
                                                        @ ^ [Y7: mworld] :
                                                            ( ( mrel @ Y6 @ Y7 )
                                                           => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( front @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( furniture @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( seat @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ X4 @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( down @ X4 @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( barrel @ X4 @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( old @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( dirty @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( white @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( car @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( chevy @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( lonely @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( way @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( street @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( event @ X4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( city @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl57,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( young @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( man @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( fellow @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( young @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( man @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( fellow @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( (~)
                                                    @ ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ Y6 @ Y7 )
                                                         => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( front @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( furniture @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( seat @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ X4 @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( down @ X4 @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( barrel @ X4 @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( old @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( dirty @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( white @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( car @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( chevy @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( lonely @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( way @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( street @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( event @ X4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( city @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl64,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( eiw_di @ X8 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( young @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( man @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( fellow @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( young @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( man @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( fellow @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( (~)
                                                @ ( !!
                                                  @ ^ [Y6: mworld] :
                                                      ( ( mrel @ Y5 @ Y6 )
                                                     => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( front @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( furniture @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( seat @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ X4 @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( down @ X4 @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( barrel @ X4 @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( old @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( dirty @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( white @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( car @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( chevy @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( lonely @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( way @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( street @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( event @ X4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( city @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl72,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( young @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( man @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( fellow @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( young @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( man @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( fellow @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( (~)
                                              @ ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ Y5 @ Y6 )
                                                   => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( front @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( furniture @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( seat @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ X4 @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( down @ X4 @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( barrel @ X4 @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( old @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( dirty @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( white @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( car @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( chevy @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( lonely @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( way @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( street @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( event @ X4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( city @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl79,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ( eiw_di @ X10 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( young @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( man @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( fellow @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( young @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( man @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( fellow @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y5: mworld] :
                                                ( ( mrel @ Y4 @ Y5 )
                                               => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( front @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( furniture @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( seat @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ X4 @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( down @ X4 @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( barrel @ X4 @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( old @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( dirty @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( white @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( car @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( chevy @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( lonely @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( way @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( street @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( event @ X4 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( city @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl87,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( young @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( man @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( fellow @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( young @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( man @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( fellow @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( (~)
                                        @ ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ Y4 @ Y5 )
                                             => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( front @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( furniture @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( seat @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ X4 @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( down @ X4 @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( barrel @ X4 @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( old @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( dirty @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( white @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( car @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( chevy @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( lonely @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( way @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( street @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( event @ X4 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( city @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl94,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( eiw_di @ X12 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ Y2 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ Y1 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( young @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( man @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( fellow @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( young @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( man @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( fellow @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( (~)
                                    @ ( !!
                                      @ ^ [Y4: mworld] :
                                          ( ( mrel @ Y3 @ Y4 )
                                         => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( front @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( furniture @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( seat @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ X4 @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( down @ X4 @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( barrel @ X4 @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( old @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( dirty @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( white @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( car @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( chevy @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( lonely @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( way @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( street @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( event @ X4 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( city @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl102,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ Y2 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ Y1 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( young @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( man @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( fellow @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( young @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( man @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( fellow @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( (~)
                                  @ ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ Y3 @ Y4 )
                                       => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( front @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( furniture @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( seat @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ X4 @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( down @ X4 @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( barrel @ X4 @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( old @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( dirty @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( white @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( car @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( chevy @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( lonely @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( way @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( street @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( event @ X4 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( city @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl109,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ( eiw_di @ X14 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ Y1 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ Y0 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( young @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( man @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( fellow @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( young @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( man @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( fellow @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y3: mworld] :
                                    ( ( mrel @ Y2 @ Y3 )
                                   => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( front @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( furniture @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( seat @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ X4 @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( down @ X4 @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( barrel @ X4 @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( old @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( dirty @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( white @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( car @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( chevy @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( lonely @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( way @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( street @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( event @ X4 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( city @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl117,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ Y1 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ Y0 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( young @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( man @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( fellow @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( young @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( man @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( fellow @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( (~)
                            @ ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ Y2 @ Y3 )
                                 => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( front @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( furniture @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( seat @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ X4 @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( down @ X4 @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( barrel @ X4 @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( old @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( dirty @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( white @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( car @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( chevy @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( lonely @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( way @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( street @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( event @ X4 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( city @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl124,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( eiw_di @ X16 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ Y0 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ X16 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( young @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( man @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( fellow @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( young @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( man @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( fellow @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: mworld] :
                              ( ( mrel @ Y1 @ Y2 )
                             => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( front @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( furniture @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( seat @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ X4 @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( down @ X4 @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( barrel @ X4 @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( old @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( dirty @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( white @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( car @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( chevy @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( lonely @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( way @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( street @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( event @ X4 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( city @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( hollywood @ X2 @ Y1 ) ) ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl132,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ Y0 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ X16 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( young @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( man @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( fellow @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( young @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( man @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( fellow @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( front @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( furniture @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( seat @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ X4 @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( down @ X4 @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( barrel @ X4 @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( old @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( dirty @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( white @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( car @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( chevy @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( lonely @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( way @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( street @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( event @ X4 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( city @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( hollywood @ X2 @ Y1 ) ) ) ) )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl139,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( eiw_di @ X18 @ '#sk2' )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X18 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X16 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( young @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( man @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( fellow @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( young @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( man @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( fellow @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( front @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( furniture @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( seat @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X4 @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( down @ X4 @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( barrel @ X4 @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( old @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( dirty @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( white @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( car @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( chevy @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( lonely @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( way @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( street @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( event @ X4 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( city @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( hollywood @ X2 @ Y0 ) ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl201,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X18 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl262,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
         => ( in @ X18 @ X14 @ ( '#sk23' @ X14 @ X18 ) ) )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl201]) ).

thf(zip_derived_cl323,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).

thf(zip_derived_cl323_109,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl262]) ).

thf(zip_derived_cl359,plain,
    ! [X12: $i,X18: $i] :
      ( ( '#form27' @ X12 @ X18 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl361,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl323,zip_derived_cl359]) ).

thf(zip_derived_cl361_110,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl323,zip_derived_cl359]) ).

thf(zip_derived_cl401,plain,
    ! [X2: $i] :
      ( ( '#form31' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl403,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl361,zip_derived_cl401]) ).

thf(zip_derived_cl403_111,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl361,zip_derived_cl401]) ).

thf(zip_derived_cl443,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form34' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl445,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl403,zip_derived_cl443]) ).

thf(zip_derived_cl445_112,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl403,zip_derived_cl443]) ).

thf(zip_derived_cl458,plain,
    ! [X2: $i] :
      ( ( '#form37' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl460,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl445,zip_derived_cl458]) ).

thf(zip_derived_cl359_113,plain,
    ! [X12: $i,X18: $i] :
      ( ( '#form27' @ X12 @ X18 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl474,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl460,zip_derived_cl359]) ).

thf(zip_derived_cl474_114,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl460,zip_derived_cl359]) ).

thf(zip_derived_cl486,plain,
    ! [X4: $i] :
      ( ( '#form42' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl488,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl474,zip_derived_cl486]) ).

thf(zip_derived_cl488_115,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl474,zip_derived_cl486]) ).

thf(zip_derived_cl498,plain,
    ! [X12: $i] :
      ( ( '#form46' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl500,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl488,zip_derived_cl498]) ).

thf(zip_derived_cl500_116,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl488,zip_derived_cl498]) ).

thf(zip_derived_cl512,plain,
    ! [X6: $i] :
      ( ( '#form50' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl514,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl500,zip_derived_cl512]) ).

thf(zip_derived_cl514_117,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl500,zip_derived_cl512]) ).

thf(zip_derived_cl526,plain,
    ! [X12: $i] :
      ( ( '#form54' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl528,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl514,zip_derived_cl526]) ).

thf(zip_derived_cl528_118,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl514,zip_derived_cl526]) ).

thf(zip_derived_cl540,plain,
    ! [X6: $i] :
      ( ( '#form58' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl542,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl528,zip_derived_cl540]) ).

thf(zip_derived_cl542_119,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl528,zip_derived_cl540]) ).

thf(zip_derived_cl554,plain,
    ! [X12: $i] :
      ( ( '#form62' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl556,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl542,zip_derived_cl554]) ).

thf(zip_derived_cl556_120,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl542,zip_derived_cl554]) ).

thf(zip_derived_cl568,plain,
    ! [X6: $i] :
      ( ( '#form66' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl570,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl556,zip_derived_cl568]) ).

thf(zip_derived_cl498_121,plain,
    ! [X12: $i] :
      ( ( '#form46' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl580,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl570,zip_derived_cl498]) ).

thf(zip_derived_cl580_122,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl570,zip_derived_cl498]) ).

thf(zip_derived_cl590,plain,
    ! [X8: $i] :
      ( ( '#form70' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl592,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl580,zip_derived_cl590]) ).

thf(zip_derived_cl526_123,plain,
    ! [X12: $i] :
      ( ( '#form54' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl600,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl592,zip_derived_cl526]) ).

thf(zip_derived_cl600_124,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl592,zip_derived_cl526]) ).

thf(zip_derived_cl610,plain,
    ! [X8: $i] :
      ( ( '#form74' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl612,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl600,zip_derived_cl610]) ).

thf(zip_derived_cl554_125,plain,
    ! [X12: $i] :
      ( ( '#form62' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl620,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl612,zip_derived_cl554]) ).

thf(zip_derived_cl620_126,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl612,zip_derived_cl554]) ).

thf(zip_derived_cl630,plain,
    ! [X8: $i] :
      ( ( '#form78' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl632,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl620,zip_derived_cl630]) ).

thf(zip_derived_cl632_127,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl620,zip_derived_cl630]) ).

thf(zip_derived_cl642,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form82' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl644,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl632,zip_derived_cl642]) ).

thf(zip_derived_cl644_128,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl632,zip_derived_cl642]) ).

thf(zip_derived_cl656,plain,
    ! [X8: $i] :
      ( ( '#form86' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl658,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl644,zip_derived_cl656]) ).

thf(zip_derived_cl671,plain,
    ! [X14: $i] :
      ( ( '#form90' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl672,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk91' @ X14 ) )
         => ( front @ X14 @ ( '#sk91' @ X14 ) ) )
      | ( '#form90' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl671]) ).

thf(zip_derived_cl690,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk91' @ X14 ) )
      | ( '#form90' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl672]) ).

thf(zip_derived_cl658_129,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl644,zip_derived_cl656]) ).

thf(zip_derived_cl671_130,plain,
    ! [X14: $i] :
      ( ( '#form90' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl673,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl658,zip_derived_cl671]) ).

thf(zip_derived_cl673_131,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl658,zip_derived_cl671]) ).

thf(zip_derived_cl687,plain,
    ! [X8: $i] :
      ( ( '#form94' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl689,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl673,zip_derived_cl687]) ).

thf(zip_derived_cl702,plain,
    ! [X14: $i] :
      ( ( '#form98' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl703,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk99' @ X14 ) )
         => ( furniture @ X14 @ ( '#sk99' @ X14 ) ) )
      | ( '#form98' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl702]) ).

thf(zip_derived_cl719,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk99' @ X14 ) )
      | ( '#form98' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl703]) ).

thf(zip_derived_cl689_132,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl673,zip_derived_cl687]) ).

thf(zip_derived_cl702_133,plain,
    ! [X14: $i] :
      ( ( '#form98' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl704,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form98' @ X14 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl689,zip_derived_cl702]) ).

thf(zip_derived_cl704_134,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form98' @ X14 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl689,zip_derived_cl702]) ).

thf(zip_derived_cl716,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form102' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl718,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form98' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl704,zip_derived_cl716]) ).

thf(zip_derived_cl730,plain,
    ! [X14: $i] :
      ( ( '#form106' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl731,plain,
    ! [X14: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk107' @ X14 ) )
         => ( seat @ X14 @ ( '#sk107' @ X14 ) ) )
      | ( '#form106' @ X14 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl730]) ).

thf(zip_derived_cl747,plain,
    ! [X14: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk107' @ X14 ) )
      | ( '#form106' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl731]) ).

thf(zip_derived_cl75,plain,
    ( ( eiw_di @ '#sk9' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl143,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk1' @ Y0 )
         => ( in @ '#sk18' @ '#sk16' @ Y0 ) ) )
    | ~ '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl204,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk1' @ X2 )
       => ( in @ '#sk18' @ '#sk16' @ X2 ) )
      | ~ '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl265,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk1' @ X2 )
      | ( in @ '#sk18' @ '#sk16' @ X2 )
      | ~ '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl204]) ).

thf(zip_derived_cl451,plain,
    ! [X14: $i,X16: $i] :
      ( ~ ( in @ X16 @ X14 @ ( '#sk22' @ X14 @ X16 ) )
      | ( '#form33' @ X14 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl136,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ '#sk2' )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( in @ Y1 @ '#sk17' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( qmltpeq @ '#sk15' @ Y1 @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( in @ Y0 @ '#sk17' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( qmltpeq @ '#sk13' @ Y0 @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( young @ '#sk15' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( man @ '#sk15' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( fellow @ '#sk15' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( young @ '#sk13' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( man @ '#sk13' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( fellow @ '#sk13' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ Y2 @ Y3 )
                             => ( qmltpeq @ '#sk13' @ '#sk15' @ Y3 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( front @ '#sk17' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( furniture @ '#sk17' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( seat @ '#sk17' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( in @ '#sk7' @ '#sk5' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( down @ '#sk7' @ '#sk11' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( barrel @ '#sk7' @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( lonely @ '#sk11' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( way @ '#sk11' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( street @ '#sk11' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( old @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( dirty @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( white @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( car @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( chevy @ '#sk9' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( event @ '#sk7' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( city @ '#sk5' @ Y2 ) ) )
                & ( !!
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#sk2' @ Y2 )
                     => ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl170,plain,
    ( ( ( eiw_di @ '#sk19' @ '#sk2' )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( in @ Y0 @ '#sk17' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( qmltpeq @ '#sk15' @ Y0 @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( in @ '#sk19' @ '#sk17' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( qmltpeq @ '#sk13' @ '#sk19' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( young @ '#sk15' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( man @ '#sk15' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( fellow @ '#sk15' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( young @ '#sk13' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( man @ '#sk13' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( fellow @ '#sk13' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( (~)
                    @ ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ Y1 @ Y2 )
                         => ( qmltpeq @ '#sk13' @ '#sk15' @ Y2 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( front @ '#sk17' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( furniture @ '#sk17' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( seat @ '#sk17' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( in @ '#sk7' @ '#sk5' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( down @ '#sk7' @ '#sk11' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( lonely @ '#sk11' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( way @ '#sk11' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( street @ '#sk11' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( old @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( dirty @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( white @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( car @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( chevy @ '#sk9' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( event @ '#sk7' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( city @ '#sk5' @ Y1 ) ) )
            & ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#sk2' @ Y1 )
                 => ( hollywood @ '#sk5' @ Y1 ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl232,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ '#sk2' )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( in @ Y0 @ '#sk17' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( qmltpeq @ '#sk15' @ Y0 @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( in @ '#sk19' @ '#sk17' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( qmltpeq @ '#sk13' @ '#sk19' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( young @ '#sk15' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( man @ '#sk15' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( fellow @ '#sk15' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( young @ '#sk13' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( man @ '#sk13' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( fellow @ '#sk13' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ Y1 @ Y2 )
                       => ( qmltpeq @ '#sk13' @ '#sk15' @ Y2 ) ) ) ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( front @ '#sk17' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( furniture @ '#sk17' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( seat @ '#sk17' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( in @ '#sk7' @ '#sk5' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( down @ '#sk7' @ '#sk11' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( lonely @ '#sk11' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( way @ '#sk11' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( street @ '#sk11' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( old @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( dirty @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( white @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( car @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( chevy @ '#sk9' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( event @ '#sk7' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( city @ '#sk5' @ Y1 ) ) )
          & ( !!
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#sk2' @ Y1 )
               => ( hollywood @ '#sk5' @ Y1 ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl293,plain,
    ( ( ( eiw_di @ '#sk21' @ '#sk2' )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( in @ '#sk21' @ '#sk17' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( in @ '#sk19' @ '#sk17' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( qmltpeq @ '#sk13' @ '#sk19' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( young @ '#sk15' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( man @ '#sk15' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( fellow @ '#sk15' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( young @ '#sk13' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( man @ '#sk13' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( fellow @ '#sk13' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( (~)
              @ ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ Y0 @ Y1 )
                   => ( qmltpeq @ '#sk13' @ '#sk15' @ Y1 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( front @ '#sk17' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( furniture @ '#sk17' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( seat @ '#sk17' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( in @ '#sk7' @ '#sk5' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( down @ '#sk7' @ '#sk11' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( lonely @ '#sk11' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( way @ '#sk11' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( street @ '#sk11' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( old @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( dirty @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( white @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( car @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( chevy @ '#sk9' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( event @ '#sk7' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( city @ '#sk5' @ Y0 ) ) )
      & ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#sk2' @ Y0 )
           => ( hollywood @ '#sk5' @ Y0 ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl232]) ).

thf(zip_derived_cl340,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( front @ '#sk17' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl381,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( front @ '#sk17' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl340]) ).

thf(zip_derived_cl425,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( front @ '#sk17' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl381]) ).

thf(zip_derived_cl691,plain,
    ! [X14: $i] :
      ( ~ ( front @ X14 @ ( '#sk91' @ X14 ) )
      | ( '#form90' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl672]) ).

thf(zip_derived_cl341,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( furniture @ '#sk17' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl382,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( furniture @ '#sk17' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl341]) ).

thf(zip_derived_cl426,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( furniture @ '#sk17' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl382]) ).

thf(zip_derived_cl720,plain,
    ! [X14: $i] :
      ( ~ ( furniture @ X14 @ ( '#sk99' @ X14 ) )
      | ( '#form98' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl703]) ).

thf(zip_derived_cl512_135,plain,
    ! [X6: $i] :
      ( ( '#form50' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl513,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk51' @ X6 ) )
         => ( street @ X6 @ ( '#sk51' @ X6 ) ) )
      | ( '#form50' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl512]) ).

thf(zip_derived_cl529,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk51' @ X6 ) )
      | ( '#form50' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl513]) ).

thf(zip_derived_cl540_136,plain,
    ! [X6: $i] :
      ( ( '#form58' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl541,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk59' @ X6 ) )
         => ( way @ X6 @ ( '#sk59' @ X6 ) ) )
      | ( '#form58' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl540]) ).

thf(zip_derived_cl557,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk59' @ X6 ) )
      | ( '#form58' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl568_137,plain,
    ! [X6: $i] :
      ( ( '#form66' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl569,plain,
    ! [X6: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk67' @ X6 ) )
         => ( lonely @ X6 @ ( '#sk67' @ X6 ) ) )
      | ( '#form66' @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl581,plain,
    ! [X6: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk67' @ X6 ) )
      | ( '#form66' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl569]) ).

thf(zip_derived_cl718_138,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form98' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl704,zip_derived_cl716]) ).

thf(zip_derived_cl730_139,plain,
    ! [X14: $i] :
      ( ( '#form106' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl732,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form106' @ X14 )
      | ~ ( '#form98' @ X14 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X12 @ X18 )
      | ( mrel @ mactual @ '#sk1' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X18 ) )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form102' @ X4 @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl718,zip_derived_cl730]) ).

thf(zip_derived_cl744,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form110' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl745,plain,
    ! [X4: $i,X6: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk111' @ X4 @ X6 ) )
         => ( down @ X4 @ X6 @ ( '#sk111' @ X4 @ X6 ) ) )
      | ( '#form110' @ X4 @ X6 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl744]) ).

thf(zip_derived_cl757,plain,
    ! [X4: $i,X6: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk111' @ X4 @ X6 ) )
      | ( '#form110' @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl745]) ).

thf(zip_derived_cl60,plain,
    ( ( eiw_di @ '#sk7' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl45,plain,
    ( ( eiw_di @ '#sk5' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl331,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( in @ '#sk19' @ '#sk17' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl372,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( in @ '#sk19' @ '#sk17' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl331]) ).

thf(zip_derived_cl416,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( in @ '#sk19' @ '#sk17' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl372]) ).

thf(zip_derived_cl329,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( in @ '#sk21' @ '#sk17' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl370,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( in @ '#sk21' @ '#sk17' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl329]) ).

thf(zip_derived_cl414,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( in @ '#sk21' @ '#sk17' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl370]) ).

thf(zip_derived_cl342,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( seat @ '#sk17' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl383,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( seat @ '#sk17' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl342]) ).

thf(zip_derived_cl427,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( seat @ '#sk17' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl383]) ).

thf(zip_derived_cl748,plain,
    ! [X14: $i] :
      ( ~ ( seat @ X14 @ ( '#sk107' @ X14 ) )
      | ( '#form106' @ X14 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl731]) ).

thf(zip_derived_cl348,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( street @ '#sk11' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl389,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( street @ '#sk11' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl348]) ).

thf(zip_derived_cl433,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( street @ '#sk11' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl389]) ).

thf(zip_derived_cl530,plain,
    ! [X6: $i] :
      ( ~ ( street @ X6 @ ( '#sk51' @ X6 ) )
      | ( '#form50' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl513]) ).

thf(zip_derived_cl347,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( way @ '#sk11' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl388,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( way @ '#sk11' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl347]) ).

thf(zip_derived_cl432,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( way @ '#sk11' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl388]) ).

thf(zip_derived_cl558,plain,
    ! [X6: $i] :
      ( ~ ( way @ X6 @ ( '#sk59' @ X6 ) )
      | ( '#form58' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl346,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( lonely @ '#sk11' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl387,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( lonely @ '#sk11' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl346]) ).

thf(zip_derived_cl431,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( lonely @ '#sk11' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl387]) ).

thf(zip_derived_cl582,plain,
    ! [X6: $i] :
      ( ~ ( lonely @ X6 @ ( '#sk67' @ X6 ) )
      | ( '#form66' @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl569]) ).

thf(zip_derived_cl344,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( down @ '#sk7' @ '#sk11' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl385,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( down @ '#sk7' @ '#sk11' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl344]) ).

thf(zip_derived_cl429,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( down @ '#sk7' @ '#sk11' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl385]) ).

thf(zip_derived_cl758,plain,
    ! [X4: $i,X6: $i] :
      ( ~ ( down @ X4 @ X6 @ ( '#sk111' @ X4 @ X6 ) )
      | ( '#form110' @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl745]) ).

thf(zip_derived_cl590_140,plain,
    ! [X8: $i] :
      ( ( '#form70' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl591,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk71' @ X8 ) )
         => ( chevy @ X8 @ ( '#sk71' @ X8 ) ) )
      | ( '#form70' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl590]) ).

thf(zip_derived_cl601,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk71' @ X8 ) )
      | ( '#form70' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl591]) ).

thf(zip_derived_cl610_141,plain,
    ! [X8: $i] :
      ( ( '#form74' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl611,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk75' @ X8 ) )
         => ( car @ X8 @ ( '#sk75' @ X8 ) ) )
      | ( '#form74' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl610]) ).

thf(zip_derived_cl621,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk75' @ X8 ) )
      | ( '#form74' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl611]) ).

thf(zip_derived_cl630_142,plain,
    ! [X8: $i] :
      ( ( '#form78' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl631,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk79' @ X8 ) )
         => ( white @ X8 @ ( '#sk79' @ X8 ) ) )
      | ( '#form78' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl630]) ).

thf(zip_derived_cl645,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk79' @ X8 ) )
      | ( '#form78' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl631]) ).

thf(zip_derived_cl656_143,plain,
    ! [X8: $i] :
      ( ( '#form86' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl657,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk87' @ X8 ) )
         => ( dirty @ X8 @ ( '#sk87' @ X8 ) ) )
      | ( '#form86' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl656]) ).

thf(zip_derived_cl674,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk87' @ X8 ) )
      | ( '#form86' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl657]) ).

thf(zip_derived_cl687_144,plain,
    ! [X8: $i] :
      ( ( '#form94' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl688,plain,
    ! [X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk95' @ X8 ) )
         => ( old @ X8 @ ( '#sk95' @ X8 ) ) )
      | ( '#form94' @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl687]) ).

thf(zip_derived_cl705,plain,
    ! [X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk95' @ X8 ) )
      | ( '#form94' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl688]) ).

thf(zip_derived_cl716_145,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form102' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl717,plain,
    ! [X4: $i,X8: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk103' @ X4 @ X8 ) )
         => ( barrel @ X4 @ X8 @ ( '#sk103' @ X4 @ X8 ) ) )
      | ( '#form102' @ X4 @ X8 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl716]) ).

thf(zip_derived_cl733,plain,
    ! [X4: $i,X8: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk103' @ X4 @ X8 ) )
      | ( '#form102' @ X4 @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl717]) ).

thf(zip_derived_cl328,plain,
    ( ( eiw_di @ '#sk21' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl352,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( car @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl393,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( car @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl437,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( car @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl393]) ).

thf(zip_derived_cl622,plain,
    ! [X8: $i] :
      ( ~ ( car @ X8 @ ( '#sk75' @ X8 ) )
      | ( '#form74' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl611]) ).

thf(zip_derived_cl351,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( white @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl392,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( white @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl436,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( white @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl392]) ).

thf(zip_derived_cl646,plain,
    ! [X8: $i] :
      ( ~ ( white @ X8 @ ( '#sk79' @ X8 ) )
      | ( '#form78' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl631]) ).

thf(zip_derived_cl345,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl386,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( barrel @ '#sk7' @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl345]) ).

thf(zip_derived_cl430,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( barrel @ '#sk7' @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl386]) ).

thf(zip_derived_cl734,plain,
    ! [X4: $i,X8: $i] :
      ( ~ ( barrel @ X4 @ X8 @ ( '#sk103' @ X4 @ X8 ) )
      | ( '#form102' @ X4 @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl717]) ).

thf(zip_derived_cl401_146,plain,
    ! [X2: $i] :
      ( ( '#form31' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl402,plain,
    ! [X2: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk32' @ X2 ) )
         => ( hollywood @ X2 @ ( '#sk32' @ X2 ) ) )
      | ( '#form31' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl401]) ).

thf(zip_derived_cl446,plain,
    ! [X2: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk32' @ X2 ) )
      | ( '#form31' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl402]) ).

thf(zip_derived_cl458_147,plain,
    ! [X2: $i] :
      ( ( '#form37' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl459,plain,
    ! [X2: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk38' @ X2 ) )
         => ( city @ X2 @ ( '#sk38' @ X2 ) ) )
      | ( '#form37' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl458]) ).

thf(zip_derived_cl475,plain,
    ! [X2: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk38' @ X2 ) )
      | ( '#form37' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl459]) ).

thf(zip_derived_cl486_148,plain,
    ! [X4: $i] :
      ( ( '#form42' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl487,plain,
    ! [X4: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk43' @ X4 ) )
         => ( event @ X4 @ ( '#sk43' @ X4 ) ) )
      | ( '#form42' @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl486]) ).

thf(zip_derived_cl501,plain,
    ! [X4: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk43' @ X4 ) )
      | ( '#form42' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl487]) ).

thf(zip_derived_cl443_149,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form34' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl444,plain,
    ! [X14: $i,X16: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X16 ) )
         => ( in @ X16 @ X14 @ ( '#sk23' @ X14 @ X16 ) ) )
      | ( '#form34' @ X14 @ X16 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl443]) ).

thf(zip_derived_cl461,plain,
    ! [X14: $i,X16: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk23' @ X14 @ X16 ) )
      | ( '#form34' @ X14 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl444]) ).

thf(zip_derived_cl120,plain,
    ( ( eiw_di @ '#sk15' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl353,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( chevy @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl394,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( chevy @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl353]) ).

thf(zip_derived_cl438,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( chevy @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl394]) ).

thf(zip_derived_cl602,plain,
    ! [X8: $i] :
      ( ~ ( chevy @ X8 @ ( '#sk71' @ X8 ) )
      | ( '#form70' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl591]) ).

thf(zip_derived_cl350,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( dirty @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl391,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( dirty @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl435,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( dirty @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl391]) ).

thf(zip_derived_cl675,plain,
    ! [X8: $i] :
      ( ~ ( dirty @ X8 @ ( '#sk87' @ X8 ) )
      | ( '#form86' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl657]) ).

thf(zip_derived_cl349,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( old @ '#sk9' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl390,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( old @ '#sk9' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl349]) ).

thf(zip_derived_cl434,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( old @ '#sk9' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl390]) ).

thf(zip_derived_cl706,plain,
    ! [X8: $i] :
      ( ~ ( old @ X8 @ ( '#sk95' @ X8 ) )
      | ( '#form94' @ X8 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl688]) ).

thf(zip_derived_cl354,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( event @ '#sk7' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl395,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( event @ '#sk7' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl439,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( event @ '#sk7' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl395]) ).

thf(zip_derived_cl502,plain,
    ! [X4: $i] :
      ( ~ ( event @ X4 @ ( '#sk43' @ X4 ) )
      | ( '#form42' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl487]) ).

thf(zip_derived_cl105,plain,
    ( ( eiw_di @ '#sk13' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl231,plain,
    ( ( eiw_di @ '#sk19' @ '#sk2' )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl356,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( hollywood @ '#sk5' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl397,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( hollywood @ '#sk5' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl356]) ).

thf(zip_derived_cl441,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( hollywood @ '#sk5' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl397]) ).

thf(zip_derived_cl447,plain,
    ! [X2: $i] :
      ( ~ ( hollywood @ X2 @ ( '#sk32' @ X2 ) )
      | ( '#form31' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl402]) ).

thf(zip_derived_cl355,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( city @ '#sk5' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl396,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( city @ '#sk5' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl440,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( city @ '#sk5' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl396]) ).

thf(zip_derived_cl476,plain,
    ! [X2: $i] :
      ( ~ ( city @ X2 @ ( '#sk38' @ X2 ) )
      | ( '#form37' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl459]) ).

thf(zip_derived_cl343,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( in @ '#sk7' @ '#sk5' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl384,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( in @ '#sk7' @ '#sk5' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl343]) ).

thf(zip_derived_cl428,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( in @ '#sk7' @ '#sk5' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl384]) ).

thf(zip_derived_cl462,plain,
    ! [X14: $i,X16: $i] :
      ( ~ ( in @ X16 @ X14 @ ( '#sk23' @ X14 @ X16 ) )
      | ( '#form34' @ X14 @ X16 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl444]) ).

thf(zip_derived_cl330,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl371,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( qmltpeq @ '#sk15' @ '#sk21' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl330]) ).

thf(zip_derived_cl415,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( qmltpeq @ '#sk15' @ '#sk21' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl371]) ).

thf(zip_derived_cl334,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( man @ '#sk15' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl375,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( man @ '#sk15' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl334]) ).

thf(zip_derived_cl419,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( man @ '#sk15' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl375]) ).

thf(zip_derived_cl335,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( fellow @ '#sk15' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl376,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( fellow @ '#sk15' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl335]) ).

thf(zip_derived_cl420,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( fellow @ '#sk15' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl376]) ).

thf(zip_derived_cl642_150,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form82' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl643,plain,
    ! [X10: $i,X12: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk83' @ X10 @ X12 ) )
         => ( (~)
            @ ( !!
              @ ^ [Y0: mworld] :
                  ( ( mrel @ ( '#sk83' @ X10 @ X12 ) @ Y0 )
                 => ( qmltpeq @ X10 @ X12 @ Y0 ) ) ) ) )
      | ( '#form82' @ X10 @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl642]) ).

thf(zip_derived_cl659,plain,
    ! [X10: $i,X12: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk83' @ X10 @ X12 ) )
      | ( '#form82' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl643]) ).

thf(zip_derived_cl339,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( (~)
            @ ( !!
              @ ^ [Y1: mworld] :
                  ( ( mrel @ Y0 @ Y1 )
                 => ( qmltpeq @ '#sk13' @ '#sk15' @ Y1 ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl380,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( (~)
          @ ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ X2 @ Y0 )
               => ( qmltpeq @ '#sk13' @ '#sk15' @ Y0 ) ) ) ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl339]) ).

thf(zip_derived_cl424,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ X2 @ Y0 )
             => ( qmltpeq @ '#sk13' @ '#sk15' @ Y0 ) ) )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl380]) ).

thf(zip_derived_cl456,plain,
    ! [X2: mworld] :
      ( ~ ( ( mrel @ X2 @ ( '#sk26' @ X2 ) )
         => ( qmltpeq @ '#sk13' @ '#sk15' @ ( '#sk26' @ X2 ) ) )
      | '#form4'
      | ~ ( mrel @ '#sk2' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl424]) ).

thf(zip_derived_cl472,plain,
    ! [X2: mworld] :
      ( ~ ( qmltpeq @ '#sk13' @ '#sk15' @ ( '#sk26' @ X2 ) )
      | ~ ( mrel @ '#sk2' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl456]) ).

thf(zip_derived_cl498_151,plain,
    ! [X12: $i] :
      ( ( '#form46' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl499,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk47' @ X12 ) )
         => ( young @ X12 @ ( '#sk47' @ X12 ) ) )
      | ( '#form46' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl515,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk47' @ X12 ) )
      | ( '#form46' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl499]) ).

thf(zip_derived_cl526_152,plain,
    ! [X12: $i] :
      ( ( '#form54' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl527,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk55' @ X12 ) )
         => ( man @ X12 @ ( '#sk55' @ X12 ) ) )
      | ( '#form54' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl526]) ).

thf(zip_derived_cl543,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk55' @ X12 ) )
      | ( '#form54' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl527]) ).

thf(zip_derived_cl554_153,plain,
    ! [X12: $i] :
      ( ( '#form62' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl555,plain,
    ! [X12: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk63' @ X12 ) )
         => ( fellow @ X12 @ ( '#sk63' @ X12 ) ) )
      | ( '#form62' @ X12 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl554]) ).

thf(zip_derived_cl571,plain,
    ! [X12: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk63' @ X12 ) )
      | ( '#form62' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl555]) ).

thf(zip_derived_cl359_154,plain,
    ! [X12: $i,X18: $i] :
      ( ( '#form27' @ X12 @ X18 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl360,plain,
    ! [X12: $i,X18: $i] :
      ( ~ ( ( mrel @ '#sk2' @ ( '#sk28' @ X12 @ X18 ) )
         => ( qmltpeq @ X12 @ X18 @ ( '#sk28' @ X12 @ X18 ) ) )
      | ( '#form27' @ X12 @ X18 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl359]) ).

thf(zip_derived_cl404,plain,
    ! [X12: $i,X18: $i] :
      ( ( mrel @ '#sk2' @ ( '#sk28' @ X12 @ X18 ) )
      | ( '#form27' @ X12 @ X18 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ '#sk2' )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ '#sk2' )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ '#sk2' )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ '#sk2' )
                              & ( ??
                                @ ^ [Y4: $i] :
                                    ( ( eiw_di @ Y4 @ '#sk2' )
                                    & ( ??
                                      @ ^ [Y5: $i] :
                                          ( ( eiw_di @ Y5 @ '#sk2' )
                                          & ( ??
                                            @ ^ [Y6: $i] :
                                                ( ( eiw_di @ Y6 @ '#sk2' )
                                                & ( ??
                                                  @ ^ [Y7: $i] :
                                                      ( ( eiw_di @ Y7 @ '#sk2' )
                                                      & ( ??
                                                        @ ^ [Y8: $i] :
                                                            ( ( eiw_di @ Y8 @ '#sk2' )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y8 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y7 @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( young @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( man @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( fellow @ Y5 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( young @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( man @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( fellow @ Y4 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( (~)
                                                                    @ ( !!
                                                                      @ ^ [Y10: mworld] :
                                                                          ( ( mrel @ Y9 @ Y10 )
                                                                         => ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( front @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( furniture @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( seat @ Y6 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( in @ Y1 @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( down @ Y1 @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( barrel @ Y1 @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( old @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( dirty @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( white @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( car @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( chevy @ Y3 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( lonely @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( way @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( street @ Y2 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( event @ Y1 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( city @ Y0 @ Y9 ) ) )
                                                            & ( !!
                                                              @ ^ [Y9: mworld] :
                                                                  ( ( mrel @ '#sk2' @ Y9 )
                                                                 => ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( ??
                                                      @ ^ [Y7: $i] :
                                                          ( ( eiw_di @ Y7 @ '#sk2' )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( young @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( man @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( fellow @ Y4 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( young @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( man @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( fellow @ Y3 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( (~)
                                                                  @ ( !!
                                                                    @ ^ [Y9: mworld] :
                                                                        ( ( mrel @ Y8 @ Y9 )
                                                                       => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( front @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( furniture @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( seat @ Y5 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( old @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( dirty @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( white @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( car @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( chevy @ Y2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( lonely @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( way @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( street @ Y1 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( event @ Y0 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( city @ X2 @ Y8 ) ) )
                                                          & ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ '#sk2' @ Y8 )
                                                               => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl47,plain,
    ! [X2: $i] :
      ( ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( ??
                                                    @ ^ [Y7: $i] :
                                                        ( ( eiw_di @ Y7 @ '#sk2' )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y7 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y6 @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( young @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( man @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( fellow @ Y4 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( young @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( man @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( fellow @ Y3 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( (~)
                                                                @ ( !!
                                                                  @ ^ [Y9: mworld] :
                                                                      ( ( mrel @ Y8 @ Y9 )
                                                                     => ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( front @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( furniture @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( seat @ Y5 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( in @ Y0 @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( down @ Y0 @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( barrel @ Y0 @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( old @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( dirty @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( white @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( car @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( chevy @ Y2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( lonely @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( way @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( street @ Y1 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( event @ Y0 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( city @ X2 @ Y8 ) ) )
                                                        & ( !!
                                                          @ ^ [Y8: mworld] :
                                                              ( ( mrel @ '#sk2' @ Y8 )
                                                             => ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl54,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( eiw_di @ X4 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( ??
                                                @ ^ [Y6: $i] :
                                                    ( ( eiw_di @ Y6 @ '#sk2' )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( young @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( man @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( fellow @ Y3 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( young @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( man @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( fellow @ Y2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( (~)
                                                            @ ( !!
                                                              @ ^ [Y8: mworld] :
                                                                  ( ( mrel @ Y7 @ Y8 )
                                                                 => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( front @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( furniture @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( seat @ Y4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( in @ X4 @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( down @ X4 @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( barrel @ X4 @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( old @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( dirty @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( white @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( car @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( chevy @ Y1 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( lonely @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( way @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( street @ Y0 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( event @ X4 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( city @ X2 @ Y7 ) ) )
                                                    & ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ '#sk2' @ Y7 )
                                                         => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl62,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( ??
                                              @ ^ [Y6: $i] :
                                                  ( ( eiw_di @ Y6 @ '#sk2' )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ Y6 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ Y5 @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( young @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( man @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( fellow @ Y3 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( young @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( man @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( fellow @ Y2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( (~)
                                                          @ ( !!
                                                            @ ^ [Y8: mworld] :
                                                                ( ( mrel @ Y7 @ Y8 )
                                                               => ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( front @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( furniture @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( seat @ Y4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( in @ X4 @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( down @ X4 @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( barrel @ X4 @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( old @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( dirty @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( white @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( car @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( chevy @ Y1 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( lonely @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( way @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( street @ Y0 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( event @ X4 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( city @ X2 @ Y7 ) ) )
                                                  & ( !!
                                                    @ ^ [Y7: mworld] :
                                                        ( ( mrel @ '#sk2' @ Y7 )
                                                       => ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl69,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( eiw_di @ X6 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( ??
                                          @ ^ [Y5: $i] :
                                              ( ( eiw_di @ Y5 @ '#sk2' )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( young @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( man @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( fellow @ Y2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( young @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( man @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( fellow @ Y1 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( (~)
                                                      @ ( !!
                                                        @ ^ [Y7: mworld] :
                                                            ( ( mrel @ Y6 @ Y7 )
                                                           => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( front @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( furniture @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( seat @ Y3 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( in @ X4 @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( down @ X4 @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( barrel @ X4 @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( old @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( dirty @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( white @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( car @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( chevy @ Y0 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( lonely @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( way @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( street @ X6 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( event @ X4 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( city @ X2 @ Y6 ) ) )
                                              & ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ '#sk2' @ Y6 )
                                                   => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl77,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( ??
                                        @ ^ [Y5: $i] :
                                            ( ( eiw_di @ Y5 @ '#sk2' )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ Y5 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ Y4 @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( young @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( man @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( fellow @ Y2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( young @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( man @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( fellow @ Y1 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( (~)
                                                    @ ( !!
                                                      @ ^ [Y7: mworld] :
                                                          ( ( mrel @ Y6 @ Y7 )
                                                         => ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( front @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( furniture @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( seat @ Y3 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( in @ X4 @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( down @ X4 @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( barrel @ X4 @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( old @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( dirty @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( white @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( car @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( chevy @ Y0 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( lonely @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( way @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( street @ X6 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( event @ X4 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( city @ X2 @ Y6 ) ) )
                                            & ( !!
                                              @ ^ [Y6: mworld] :
                                                  ( ( mrel @ '#sk2' @ Y6 )
                                                 => ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl84,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( eiw_di @ X8 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( ??
                                    @ ^ [Y4: $i] :
                                        ( ( eiw_di @ Y4 @ '#sk2' )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( young @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( man @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( fellow @ Y1 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( young @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( man @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( fellow @ Y0 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( (~)
                                                @ ( !!
                                                  @ ^ [Y6: mworld] :
                                                      ( ( mrel @ Y5 @ Y6 )
                                                     => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( front @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( furniture @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( seat @ Y2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( in @ X4 @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( down @ X4 @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( barrel @ X4 @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( old @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( dirty @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( white @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( car @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( chevy @ X8 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( lonely @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( way @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( street @ X6 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( event @ X4 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( city @ X2 @ Y5 ) ) )
                                        & ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ '#sk2' @ Y5 )
                                             => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl92,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( ??
                                  @ ^ [Y4: $i] :
                                      ( ( eiw_di @ Y4 @ '#sk2' )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ Y4 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ Y3 @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( young @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( man @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( fellow @ Y1 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( young @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( man @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( fellow @ Y0 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( (~)
                                              @ ( !!
                                                @ ^ [Y6: mworld] :
                                                    ( ( mrel @ Y5 @ Y6 )
                                                   => ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( front @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( furniture @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( seat @ Y2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( in @ X4 @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( down @ X4 @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( barrel @ X4 @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( old @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( dirty @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( white @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( car @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( chevy @ X8 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( lonely @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( way @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( street @ X6 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( event @ X4 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( city @ X2 @ Y5 ) ) )
                                      & ( !!
                                        @ ^ [Y5: mworld] :
                                            ( ( mrel @ '#sk2' @ Y5 )
                                           => ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl99,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ( eiw_di @ X10 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( ??
                              @ ^ [Y3: $i] :
                                  ( ( eiw_di @ Y3 @ '#sk2' )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( young @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( man @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( fellow @ Y0 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( young @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( man @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( fellow @ X10 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( (~)
                                          @ ( !!
                                            @ ^ [Y5: mworld] :
                                                ( ( mrel @ Y4 @ Y5 )
                                               => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( front @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( furniture @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( seat @ Y1 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( in @ X4 @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( down @ X4 @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( barrel @ X4 @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( old @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( dirty @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( white @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( car @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( chevy @ X8 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( lonely @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( way @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( street @ X6 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( event @ X4 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( city @ X2 @ Y4 ) ) )
                                  & ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ '#sk2' @ Y4 )
                                       => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl107,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ '#sk2' )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ Y3 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ Y2 @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( qmltpeq @ X10 @ Y2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( young @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( man @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( fellow @ Y0 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( young @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( man @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( fellow @ X10 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( (~)
                                        @ ( !!
                                          @ ^ [Y5: mworld] :
                                              ( ( mrel @ Y4 @ Y5 )
                                             => ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( front @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( furniture @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( seat @ Y1 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( in @ X4 @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( down @ X4 @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( barrel @ X4 @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( old @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( dirty @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( white @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( car @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( chevy @ X8 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( lonely @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( way @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( street @ X6 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( event @ X4 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( city @ X2 @ Y4 ) ) )
                                & ( !!
                                  @ ^ [Y4: mworld] :
                                      ( ( mrel @ '#sk2' @ Y4 )
                                     => ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl114,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( eiw_di @ X12 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ '#sk2' )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ Y2 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ Y1 @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( young @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( man @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( fellow @ X12 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( young @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( man @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( fellow @ X10 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( (~)
                                    @ ( !!
                                      @ ^ [Y4: mworld] :
                                          ( ( mrel @ Y3 @ Y4 )
                                         => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( front @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( furniture @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( seat @ Y0 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( in @ X4 @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( down @ X4 @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( barrel @ X4 @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( old @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( dirty @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( white @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( car @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( chevy @ X8 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( lonely @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( way @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( street @ X6 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( event @ X4 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( city @ X2 @ Y3 ) ) )
                            & ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ '#sk2' @ Y3 )
                                 => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl122,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ '#sk2' )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ Y2 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( qmltpeq @ X12 @ Y2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ Y1 @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( qmltpeq @ X10 @ Y1 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( young @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( man @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( fellow @ X12 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( young @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( man @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( fellow @ X10 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( (~)
                                  @ ( !!
                                    @ ^ [Y4: mworld] :
                                        ( ( mrel @ Y3 @ Y4 )
                                       => ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( front @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( furniture @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( seat @ Y0 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( in @ X4 @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( down @ X4 @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( barrel @ X4 @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( old @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( dirty @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( white @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( car @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( chevy @ X8 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( lonely @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( way @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( street @ X6 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( event @ X4 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( city @ X2 @ Y3 ) ) )
                          & ( !!
                            @ ^ [Y3: mworld] :
                                ( ( mrel @ '#sk2' @ Y3 )
                               => ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl129,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ( eiw_di @ X14 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ '#sk2' )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ Y1 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ Y0 @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( young @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( man @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( fellow @ X12 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( young @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( man @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( fellow @ X10 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( (~)
                              @ ( !!
                                @ ^ [Y3: mworld] :
                                    ( ( mrel @ Y2 @ Y3 )
                                   => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( front @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( furniture @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( seat @ X14 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( in @ X4 @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( down @ X4 @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( barrel @ X4 @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( old @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( dirty @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( white @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( car @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( chevy @ X8 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( lonely @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( way @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( street @ X6 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( event @ X4 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( city @ X2 @ Y2 ) ) )
                      & ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ '#sk2' @ Y2 )
                           => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl137,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ '#sk2' )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ Y1 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( qmltpeq @ X12 @ Y1 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ Y0 @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( qmltpeq @ X10 @ Y0 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( young @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( man @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( fellow @ X12 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( young @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( man @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( fellow @ X10 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( (~)
                            @ ( !!
                              @ ^ [Y3: mworld] :
                                  ( ( mrel @ Y2 @ Y3 )
                                 => ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( front @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( furniture @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( seat @ X14 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( in @ X4 @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( down @ X4 @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( barrel @ X4 @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( old @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( dirty @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( white @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( car @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( chevy @ X8 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( lonely @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( way @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( street @ X6 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( event @ X4 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( city @ X2 @ Y2 ) ) )
                    & ( !!
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#sk2' @ Y2 )
                         => ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl171,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( eiw_di @ X16 @ '#sk2' )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ '#sk2' )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ Y0 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ X16 @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( young @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( man @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( fellow @ X12 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( young @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( man @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( fellow @ X10 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( (~)
                        @ ( !!
                          @ ^ [Y2: mworld] :
                              ( ( mrel @ Y1 @ Y2 )
                             => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( front @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( furniture @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( seat @ X14 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( in @ X4 @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( down @ X4 @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( barrel @ X4 @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( old @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( dirty @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( white @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( car @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( chevy @ X8 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( lonely @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( way @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( street @ X6 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( event @ X4 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( city @ X2 @ Y1 ) ) )
                & ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ '#sk2' @ Y1 )
                     => ( hollywood @ X2 @ Y1 ) ) ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl233,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ '#sk2' )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ Y0 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( qmltpeq @ X12 @ Y0 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ X16 @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( qmltpeq @ X10 @ X16 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( young @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( man @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( fellow @ X12 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( young @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( man @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( fellow @ X10 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( (~)
                      @ ( !!
                        @ ^ [Y2: mworld] :
                            ( ( mrel @ Y1 @ Y2 )
                           => ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( front @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( furniture @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( seat @ X14 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( in @ X4 @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( down @ X4 @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( barrel @ X4 @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( old @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( dirty @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( white @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( car @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( chevy @ X8 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( lonely @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( way @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( street @ X6 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( event @ X4 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( city @ X2 @ Y1 ) ) )
              & ( !!
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#sk2' @ Y1 )
                   => ( hollywood @ X2 @ Y1 ) ) ) ) )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl171]) ).

thf(zip_derived_cl294,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( ( eiw_di @ X18 @ '#sk2' )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X18 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X16 @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( young @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( man @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( fellow @ X12 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( young @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( man @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( fellow @ X10 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( (~)
                  @ ( !!
                    @ ^ [Y1: mworld] :
                        ( ( mrel @ Y0 @ Y1 )
                       => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( front @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( furniture @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( seat @ X14 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( in @ X4 @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( down @ X4 @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( barrel @ X4 @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( old @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( dirty @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( white @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( car @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( chevy @ X8 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( lonely @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( way @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( street @ X6 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( event @ X4 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( city @ X2 @ Y0 ) ) )
          & ( !!
            @ ^ [Y0: mworld] :
                ( ( mrel @ '#sk2' @ Y0 )
               => ( hollywood @ X2 @ Y0 ) ) ) )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl233]) ).

thf(zip_derived_cl357,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X18 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl294]) ).

thf(zip_derived_cl359_155,plain,
    ! [X12: $i,X18: $i] :
      ( ( '#form27' @ X12 @ X18 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl398,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X18 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl357,zip_derived_cl359]) ).

thf(zip_derived_cl401_156,plain,
    ! [X2: $i] :
      ( ( '#form31' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( hollywood @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl442,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X18 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl398,zip_derived_cl401]) ).

thf(zip_derived_cl443_157,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form34' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl457,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl442,zip_derived_cl443]) ).

thf(zip_derived_cl458_158,plain,
    ! [X2: $i] :
      ( ( '#form37' @ X2 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( city @ X2 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl473,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl457,zip_derived_cl458]) ).

thf(zip_derived_cl443_159,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form34' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl485,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl473,zip_derived_cl443]) ).

thf(zip_derived_cl486_160,plain,
    ! [X4: $i] :
      ( ( '#form42' @ X4 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( event @ X4 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl497,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl485,zip_derived_cl486]) ).

thf(zip_derived_cl359_161,plain,
    ! [X12: $i,X18: $i] :
      ( ( '#form27' @ X12 @ X18 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl511,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl497,zip_derived_cl359]) ).

thf(zip_derived_cl512_162,plain,
    ! [X6: $i] :
      ( ( '#form50' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( street @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl525,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl511,zip_derived_cl512]) ).

thf(zip_derived_cl498_163,plain,
    ! [X12: $i] :
      ( ( '#form46' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl539,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl525,zip_derived_cl498]) ).

thf(zip_derived_cl540_164,plain,
    ! [X6: $i] :
      ( ( '#form58' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( way @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl553,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl539,zip_derived_cl540]) ).

thf(zip_derived_cl526_165,plain,
    ! [X12: $i] :
      ( ( '#form54' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl567,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl553,zip_derived_cl526]) ).

thf(zip_derived_cl568_166,plain,
    ! [X6: $i] :
      ( ( '#form66' @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( lonely @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl579,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl567,zip_derived_cl568]) ).

thf(zip_derived_cl554_167,plain,
    ! [X12: $i] :
      ( ( '#form62' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl589,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl579,zip_derived_cl554]) ).

thf(zip_derived_cl590_168,plain,
    ! [X8: $i] :
      ( ( '#form70' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( chevy @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl599,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl589,zip_derived_cl590]) ).

thf(zip_derived_cl498_169,plain,
    ! [X12: $i] :
      ( ( '#form46' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( young @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl609,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl599,zip_derived_cl498]) ).

thf(zip_derived_cl610_170,plain,
    ! [X8: $i] :
      ( ( '#form74' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( car @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl619,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl609,zip_derived_cl610]) ).

thf(zip_derived_cl526_171,plain,
    ! [X12: $i] :
      ( ( '#form54' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( man @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl629,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl619,zip_derived_cl526]) ).

thf(zip_derived_cl630_172,plain,
    ! [X8: $i] :
      ( ( '#form78' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( white @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl641,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X10 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl629,zip_derived_cl630]) ).

thf(zip_derived_cl554_173,plain,
    ! [X12: $i] :
      ( ( '#form62' @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( fellow @ X12 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl655,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl641,zip_derived_cl554]) ).

thf(zip_derived_cl656_174,plain,
    ! [X8: $i] :
      ( ( '#form86' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( dirty @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl670,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl655,zip_derived_cl656]) ).

thf(zip_derived_cl642_175,plain,
    ! [X10: $i,X12: $i] :
      ( ( '#form82' @ X10 @ X12 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: mworld] :
                      ( ( mrel @ Y0 @ Y1 )
                     => ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl686,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl670,zip_derived_cl642]) ).

thf(zip_derived_cl687_176,plain,
    ! [X8: $i] :
      ( ( '#form94' @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( old @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl701,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl686,zip_derived_cl687]) ).

thf(zip_derived_cl671_177,plain,
    ! [X14: $i] :
      ( ( '#form90' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( front @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl715,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl701,zip_derived_cl671]) ).

thf(zip_derived_cl716_178,plain,
    ! [X4: $i,X8: $i] :
      ( ( '#form102' @ X4 @ X8 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl729,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl715,zip_derived_cl716]) ).

thf(zip_derived_cl702_179,plain,
    ! [X14: $i] :
      ( ( '#form98' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( furniture @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl743,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form98' @ X14 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form102' @ X4 @ X8 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl729,zip_derived_cl702]) ).

thf(zip_derived_cl744_180,plain,
    ! [X4: $i,X6: $i] :
      ( ( '#form110' @ X4 @ X6 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( down @ X4 @ X6 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl755,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form110' @ X4 @ X6 )
      | ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form98' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl743,zip_derived_cl744]) ).

thf(zip_derived_cl730_181,plain,
    ! [X14: $i] :
      ( ( '#form106' @ X14 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( seat @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl764,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form106' @ X14 )
      | ~ ( '#form98' @ X14 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form27' @ X12 @ X18 )
      | '#form4'
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X4 @ X2 @ Y0 ) ) )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( '#form31' @ X2 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form110' @ X4 @ X6 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl755,zip_derived_cl730]) ).

thf(zip_derived_cl443_182,plain,
    ! [X14: $i,X16: $i] :
      ( ( '#form34' @ X14 @ X16 )
      | ~ ( !!
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#sk2' @ Y0 )
             => ( in @ X16 @ X14 @ Y0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl765,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i,X18: $i] :
      ( ~ ( '#form34' @ X2 @ X4 )
      | ~ ( '#form110' @ X4 @ X6 )
      | ~ ( '#form102' @ X4 @ X8 )
      | ~ ( '#form94' @ X8 )
      | ~ ( '#form86' @ X8 )
      | ~ ( '#form78' @ X8 )
      | ~ ( '#form74' @ X8 )
      | ~ ( '#form70' @ X8 )
      | ~ ( '#form66' @ X6 )
      | ~ ( '#form58' @ X6 )
      | ~ ( '#form50' @ X6 )
      | ~ ( '#form42' @ X4 )
      | ~ ( '#form37' @ X2 )
      | ~ ( '#form31' @ X2 )
      | ~ ( eiw_di @ X18 @ '#sk2' )
      | ~ ( eiw_di @ X16 @ '#sk2' )
      | ~ ( eiw_di @ X14 @ '#sk2' )
      | ~ ( eiw_di @ X12 @ '#sk2' )
      | ~ ( eiw_di @ X10 @ '#sk2' )
      | ~ ( eiw_di @ X8 @ '#sk2' )
      | ~ ( eiw_di @ X6 @ '#sk2' )
      | ~ ( eiw_di @ X4 @ '#sk2' )
      | ~ ( eiw_di @ X2 @ '#sk2' )
      | '#form4'
      | ~ ( '#form27' @ X12 @ X18 )
      | ~ ( '#form34' @ X14 @ X18 )
      | ~ ( '#form34' @ X14 @ X16 )
      | ~ ( '#form27' @ X10 @ X16 )
      | ~ ( '#form46' @ X12 )
      | ~ ( '#form54' @ X12 )
      | ~ ( '#form62' @ X12 )
      | ~ ( '#form46' @ X10 )
      | ~ ( '#form54' @ X10 )
      | ~ ( '#form62' @ X10 )
      | ~ ( '#form82' @ X10 @ X12 )
      | ~ ( '#form90' @ X14 )
      | ~ ( '#form98' @ X14 )
      | ~ ( '#form106' @ X14 ) ),
    inference(renaming,[status(thm)],[zip_derived_cl764,zip_derived_cl443]) ).

thf(zip_derived_cl333,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( young @ '#sk15' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl374,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( young @ '#sk15' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl333]) ).

thf(zip_derived_cl418,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( young @ '#sk15' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl374]) ).

thf(zip_derived_cl471,plain,
    ! [X2: mworld] :
      ( ( mrel @ X2 @ ( '#sk26' @ X2 ) )
      | ~ ( mrel @ '#sk2' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl456]) ).

thf(zip_derived_cl660,plain,
    ! [X10: $i,X12: $i] :
      ( ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ ( '#sk83' @ X10 @ X12 ) @ Y0 )
           => ( qmltpeq @ X10 @ X12 @ Y0 ) ) )
      | ( '#form82' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl643]) ).

thf(zip_derived_cl676,plain,
    ! [X10: $i,X12: $i,X14: mworld] :
      ( ( ( mrel @ ( '#sk83' @ X10 @ X12 ) @ X14 )
       => ( qmltpeq @ X10 @ X12 @ X14 ) )
      | ( '#form82' @ X10 @ X12 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl660]) ).

thf(zip_derived_cl692,plain,
    ! [X10: $i,X12: $i,X14: mworld] :
      ( ~ ( mrel @ ( '#sk83' @ X10 @ X12 ) @ X14 )
      | ( qmltpeq @ X10 @ X12 @ X14 )
      | ( '#form82' @ X10 @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl676]) ).

thf(zip_derived_cl337,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( man @ '#sk13' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl378,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( man @ '#sk13' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl337]) ).

thf(zip_derived_cl422,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( man @ '#sk13' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl378]) ).

thf(zip_derived_cl544,plain,
    ! [X12: $i] :
      ( ~ ( man @ X12 @ ( '#sk55' @ X12 ) )
      | ( '#form54' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl527]) ).

thf(zip_derived_cl338,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( fellow @ '#sk13' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl379,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( fellow @ '#sk13' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl338]) ).

thf(zip_derived_cl423,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( fellow @ '#sk13' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl572,plain,
    ! [X12: $i] :
      ( ~ ( fellow @ X12 @ ( '#sk63' @ X12 ) )
      | ( '#form62' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl555]) ).

thf(zip_derived_cl332,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( qmltpeq @ '#sk13' @ '#sk19' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl373,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( qmltpeq @ '#sk13' @ '#sk19' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl332]) ).

thf(zip_derived_cl417,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( qmltpeq @ '#sk13' @ '#sk19' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl373]) ).

thf(zip_derived_cl405,plain,
    ! [X12: $i,X18: $i] :
      ( ~ ( qmltpeq @ X12 @ X18 @ ( '#sk28' @ X12 @ X18 ) )
      | ( '#form27' @ X12 @ X18 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl336,plain,
    ( ( !!
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#sk2' @ Y0 )
         => ( young @ '#sk13' @ Y0 ) ) )
    | '#form4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl377,plain,
    ! [X2: mworld] :
      ( ( ( mrel @ '#sk2' @ X2 )
       => ( young @ '#sk13' @ X2 ) )
      | '#form4' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl336]) ).

thf(zip_derived_cl421,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ '#sk2' @ X2 )
      | ( young @ '#sk13' @ X2 )
      | '#form4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl377]) ).

thf(zip_derived_cl516,plain,
    ! [X12: $i] :
      ( ~ ( young @ X12 @ ( '#sk47' @ X12 ) )
      | ( '#form46' @ X12 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl499]) ).

thf(zip_derived_cl5846,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl763,zip_derived_cl263,zip_derived_cl762,zip_derived_cl894,zip_derived_cl876,zip_derived_cl80,zip_derived_cl95,zip_derived_cl140,zip_derived_cl479,zip_derived_cl1030,zip_derived_cl1042,zip_derived_cl1254,zip_derived_cl50,zip_derived_cl561,zip_derived_cl533,zip_derived_cl505,zip_derived_cl264,zip_derived_cl761,zip_derived_cl649,zip_derived_cl364,zip_derived_cl753,zip_derived_cl958,zip_derived_cl970,zip_derived_cl990,zip_derived_cl1006,zip_derived_cl1018,zip_derived_cl65,zip_derived_cl270,zip_derived_cl266,zip_derived_cl480,zip_derived_cl363,zip_derived_cl681,zip_derived_cl278,zip_derived_cl754,zip_derived_cl727,zip_derived_cl1310,zip_derived_cl1358,zip_derived_cl35,zip_derived_cl21,zip_derived_cl269,zip_derived_cl562,zip_derived_cl268,zip_derived_cl534,zip_derived_cl267,zip_derived_cl506,zip_derived_cl279,zip_derived_cl728,zip_derived_cl412,zip_derived_cl938,zip_derived_cl924,zip_derived_cl906,zip_derived_cl110,zip_derived_cl125,zip_derived_cl135,zip_derived_cl290,zip_derived_cl413,zip_derived_cl450,zip_derived_cl90,zip_derived_cl760,zip_derived_cl277,zip_derived_cl690,zip_derived_cl719,zip_derived_cl747,zip_derived_cl75,zip_derived_cl265,zip_derived_cl451,zip_derived_cl425,zip_derived_cl691,zip_derived_cl426,zip_derived_cl720,zip_derived_cl529,zip_derived_cl557,zip_derived_cl581,zip_derived_cl757,zip_derived_cl60,zip_derived_cl45,zip_derived_cl416,zip_derived_cl414,zip_derived_cl427,zip_derived_cl748,zip_derived_cl433,zip_derived_cl530,zip_derived_cl432,zip_derived_cl558,zip_derived_cl431,zip_derived_cl582,zip_derived_cl429,zip_derived_cl758,zip_derived_cl601,zip_derived_cl621,zip_derived_cl645,zip_derived_cl674,zip_derived_cl705,zip_derived_cl733,zip_derived_cl328,zip_derived_cl437,zip_derived_cl622,zip_derived_cl436,zip_derived_cl646,zip_derived_cl430,zip_derived_cl734,zip_derived_cl446,zip_derived_cl475,zip_derived_cl501,zip_derived_cl461,zip_derived_cl120,zip_derived_cl438,zip_derived_cl602,zip_derived_cl435,zip_derived_cl675,zip_derived_cl434,zip_derived_cl706,zip_derived_cl439,zip_derived_cl502,zip_derived_cl105,zip_derived_cl231,zip_derived_cl441,zip_derived_cl447,zip_derived_cl440,zip_derived_cl476,zip_derived_cl428,zip_derived_cl462,zip_derived_cl415,zip_derived_cl419,zip_derived_cl420,zip_derived_cl659,zip_derived_cl472,zip_derived_cl515,zip_derived_cl543,zip_derived_cl571,zip_derived_cl404,zip_derived_cl765,zip_derived_cl418,zip_derived_cl471,zip_derived_cl692,zip_derived_cl422,zip_derived_cl544,zip_derived_cl423,zip_derived_cl572,zip_derived_cl417,zip_derived_cl405,zip_derived_cl421,zip_derived_cl516]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL946^10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SlNhrzA4mr true
% 0.14/0.34  % Computer : n028.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 : Fri Aug 25 00:10:35 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % 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
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 65.20/9.05  % Solved by lams/20_acsne_simpl.sh.
% 65.20/9.05  % done 2879 iterations in 7.026s
% 65.20/9.05  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.20/9.05  % SZS output start Refutation
% See solution above
% 65.90/9.20  
% 65.90/9.20  
% 65.90/9.21  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 65.90/9.21  % Terminating...
% 65.90/9.30  % Runner terminated.
% 65.90/9.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------