TSTP Solution File: NLP001^7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP001^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tJBJMIW9cZ true

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 10:17:53 EDT 2023

% Result   : Theorem 1.84s 1.21s
% Output   : Refutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   67
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  219 (  58 unt;  33 typ;   0 def)
%            Number of atoms       : 3867 (  21 equ;1094 cnn)
%            Maximal formula atoms :  150 (  20 avg)
%            Number of connectives : 10809 (1993   ~;1909   |;   0   &;6401   @)
%                                         (   0 <=>; 278  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (  14 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   97 (  97   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   37 (  32 usr;  14 con; 0-3 aty)
%                                         ( 228  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  478 ( 286   ^; 192   !;   0   ?; 478   :)

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

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

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

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

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

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

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

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

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

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

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

thf('#form3_type',type,
    '#form3': $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(co1,conjecture,
    ( mvalid
    @ ( mand
      @ ( mimplies
        @ ( mexists_ind
          @ ^ [U: mu] :
              ( mexists_ind
              @ ^ [V: mu] :
                  ( mexists_ind
                  @ ^ [W: mu] :
                      ( mexists_ind
                      @ ^ [X: mu] : ( mand @ ( hollywood @ U ) @ ( mand @ ( city @ U ) @ ( mand @ ( event @ V ) @ ( mand @ ( street @ W ) @ ( mand @ ( way @ W ) @ ( mand @ ( lonely @ W ) @ ( mand @ ( chevy @ X ) @ ( mand @ ( car @ X ) @ ( mand @ ( white @ X ) @ ( mand @ ( dirty @ X ) @ ( mand @ ( old @ X ) @ ( mand @ ( barrel @ V @ X ) @ ( mand @ ( down @ V @ W ) @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_ind
          @ ^ [Y: mu] :
              ( mexists_ind
              @ ^ [Z: mu] :
                  ( mexists_ind
                  @ ^ [X1: mu] :
                      ( mexists_ind
                      @ ^ [X2: mu] : ( mand @ ( hollywood @ Y ) @ ( mand @ ( city @ Y ) @ ( mand @ ( event @ Z ) @ ( mand @ ( chevy @ X1 ) @ ( mand @ ( car @ X1 ) @ ( mand @ ( white @ X1 ) @ ( mand @ ( dirty @ X1 ) @ ( mand @ ( old @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( barrel @ Z @ X1 ) @ ( mand @ ( down @ Z @ X2 ) @ ( in @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mimplies
        @ ( mexists_ind
          @ ^ [X3: mu] :
              ( mexists_ind
              @ ^ [X4: mu] :
                  ( mexists_ind
                  @ ^ [X5: mu] :
                      ( mexists_ind
                      @ ^ [X6: mu] : ( mand @ ( hollywood @ X3 ) @ ( mand @ ( city @ X3 ) @ ( mand @ ( event @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( street @ X6 ) @ ( mand @ ( way @ X6 ) @ ( mand @ ( lonely @ X6 ) @ ( mand @ ( barrel @ X4 @ X5 ) @ ( mand @ ( down @ X4 @ X6 ) @ ( in @ X4 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_ind
          @ ^ [X7: mu] :
              ( mexists_ind
              @ ^ [X8: mu] :
                  ( mexists_ind
                  @ ^ [X9: mu] :
                      ( mexists_ind
                      @ ^ [X10: mu] : ( mand @ ( hollywood @ X7 ) @ ( mand @ ( city @ X7 ) @ ( mand @ ( event @ X8 ) @ ( mand @ ( street @ X9 ) @ ( mand @ ( way @ X9 ) @ ( mand @ ( lonely @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( barrel @ X8 @ X10 ) @ ( mand @ ( down @ X8 @ X9 ) @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] :
      ~ ( ~ ( ~ ! [X30: mu] :
                  ( ( exists_in_world @ X30 @ X4 )
                 => ! [X32: mu] :
                      ( ( exists_in_world @ X32 @ X4 )
                     => ! [X34: mu] :
                          ( ( exists_in_world @ X34 @ X4 )
                         => ! [X36: mu] :
                              ( ( exists_in_world @ X36 @ X4 )
                             => ( ~ ( city @ X30 @ X4 )
                                | ~ ( street @ X34 @ X4 )
                                | ~ ( lonely @ X34 @ X4 )
                                | ~ ( car @ X36 @ X4 )
                                | ~ ( dirty @ X36 @ X4 )
                                | ~ ( barrel @ X32 @ X36 @ X4 )
                                | ~ ( in @ X32 @ X30 @ X4 )
                                | ~ ( down @ X32 @ X34 @ X4 )
                                | ~ ( old @ X36 @ X4 )
                                | ~ ( white @ X36 @ X4 )
                                | ~ ( chevy @ X36 @ X4 )
                                | ~ ( way @ X34 @ X4 )
                                | ~ ( event @ X32 @ X4 )
                                | ~ ( hollywood @ X30 @ X4 ) ) ) ) ) )
            | ! [X22: mu] :
                ( ( exists_in_world @ X22 @ X4 )
               => ! [X24: mu] :
                    ( ( exists_in_world @ X24 @ X4 )
                   => ! [X26: mu] :
                        ( ( exists_in_world @ X26 @ X4 )
                       => ! [X28: mu] :
                            ( ( exists_in_world @ X28 @ X4 )
                           => ( ~ ( city @ X22 @ X4 )
                              | ~ ( chevy @ X26 @ X4 )
                              | ~ ( white @ X26 @ X4 )
                              | ~ ( old @ X26 @ X4 )
                              | ~ ( way @ X28 @ X4 )
                              | ~ ( barrel @ X24 @ X26 @ X4 )
                              | ~ ( in @ X24 @ X22 @ X4 )
                              | ~ ( down @ X24 @ X28 @ X4 )
                              | ~ ( lonely @ X28 @ X4 )
                              | ~ ( street @ X28 @ X4 )
                              | ~ ( dirty @ X26 @ X4 )
                              | ~ ( car @ X26 @ X4 )
                              | ~ ( event @ X24 @ X4 )
                              | ~ ( hollywood @ X22 @ X4 ) ) ) ) ) ) )
        | ~ ( ~ ! [X14: mu] :
                  ( ( exists_in_world @ X14 @ X4 )
                 => ! [X16: mu] :
                      ( ( exists_in_world @ X16 @ X4 )
                     => ! [X18: mu] :
                          ( ( exists_in_world @ X18 @ X4 )
                         => ! [X20: mu] :
                              ( ( exists_in_world @ X20 @ X4 )
                             => ( ~ ( city @ X14 @ X4 )
                                | ~ ( chevy @ X18 @ X4 )
                                | ~ ( white @ X18 @ X4 )
                                | ~ ( old @ X18 @ X4 )
                                | ~ ( way @ X20 @ X4 )
                                | ~ ( barrel @ X16 @ X18 @ X4 )
                                | ~ ( in @ X16 @ X14 @ X4 )
                                | ~ ( down @ X16 @ X20 @ X4 )
                                | ~ ( lonely @ X20 @ X4 )
                                | ~ ( street @ X20 @ X4 )
                                | ~ ( dirty @ X18 @ X4 )
                                | ~ ( car @ X18 @ X4 )
                                | ~ ( event @ X16 @ X4 )
                                | ~ ( hollywood @ X14 @ X4 ) ) ) ) ) )
            | ! [X6: mu] :
                ( ( exists_in_world @ X6 @ X4 )
               => ! [X8: mu] :
                    ( ( exists_in_world @ X8 @ X4 )
                   => ! [X10: mu] :
                        ( ( exists_in_world @ X10 @ X4 )
                       => ! [X12: mu] :
                            ( ( exists_in_world @ X12 @ X4 )
                           => ( ~ ( city @ X6 @ X4 )
                              | ~ ( street @ X10 @ X4 )
                              | ~ ( lonely @ X10 @ X4 )
                              | ~ ( car @ X12 @ X4 )
                              | ~ ( dirty @ X12 @ X4 )
                              | ~ ( barrel @ X8 @ X12 @ X4 )
                              | ~ ( in @ X8 @ X6 @ X4 )
                              | ~ ( down @ X8 @ X10 @ X4 )
                              | ~ ( old @ X12 @ X4 )
                              | ~ ( white @ X12 @ X4 )
                              | ~ ( chevy @ X12 @ X4 )
                              | ~ ( way @ X10 @ X4 )
                              | ~ ( event @ X8 @ X4 )
                              | ~ ( hollywood @ X6 @ X4 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ~ ( ~ ( ~ ! [X30: mu] :
                    ( ( exists_in_world @ X30 @ X4 )
                   => ! [X32: mu] :
                        ( ( exists_in_world @ X32 @ X4 )
                       => ! [X34: mu] :
                            ( ( exists_in_world @ X34 @ X4 )
                           => ! [X36: mu] :
                                ( ( exists_in_world @ X36 @ X4 )
                               => ( ~ ( city @ X30 @ X4 )
                                  | ~ ( street @ X34 @ X4 )
                                  | ~ ( lonely @ X34 @ X4 )
                                  | ~ ( car @ X36 @ X4 )
                                  | ~ ( dirty @ X36 @ X4 )
                                  | ~ ( barrel @ X32 @ X36 @ X4 )
                                  | ~ ( in @ X32 @ X30 @ X4 )
                                  | ~ ( down @ X32 @ X34 @ X4 )
                                  | ~ ( old @ X36 @ X4 )
                                  | ~ ( white @ X36 @ X4 )
                                  | ~ ( chevy @ X36 @ X4 )
                                  | ~ ( way @ X34 @ X4 )
                                  | ~ ( event @ X32 @ X4 )
                                  | ~ ( hollywood @ X30 @ X4 ) ) ) ) ) )
              | ! [X22: mu] :
                  ( ( exists_in_world @ X22 @ X4 )
                 => ! [X24: mu] :
                      ( ( exists_in_world @ X24 @ X4 )
                     => ! [X26: mu] :
                          ( ( exists_in_world @ X26 @ X4 )
                         => ! [X28: mu] :
                              ( ( exists_in_world @ X28 @ X4 )
                             => ( ~ ( city @ X22 @ X4 )
                                | ~ ( chevy @ X26 @ X4 )
                                | ~ ( white @ X26 @ X4 )
                                | ~ ( old @ X26 @ X4 )
                                | ~ ( way @ X28 @ X4 )
                                | ~ ( barrel @ X24 @ X26 @ X4 )
                                | ~ ( in @ X24 @ X22 @ X4 )
                                | ~ ( down @ X24 @ X28 @ X4 )
                                | ~ ( lonely @ X28 @ X4 )
                                | ~ ( street @ X28 @ X4 )
                                | ~ ( dirty @ X26 @ X4 )
                                | ~ ( car @ X26 @ X4 )
                                | ~ ( event @ X24 @ X4 )
                                | ~ ( hollywood @ X22 @ X4 ) ) ) ) ) ) )
          | ~ ( ~ ! [X14: mu] :
                    ( ( exists_in_world @ X14 @ X4 )
                   => ! [X16: mu] :
                        ( ( exists_in_world @ X16 @ X4 )
                       => ! [X18: mu] :
                            ( ( exists_in_world @ X18 @ X4 )
                           => ! [X20: mu] :
                                ( ( exists_in_world @ X20 @ X4 )
                               => ( ~ ( city @ X14 @ X4 )
                                  | ~ ( chevy @ X18 @ X4 )
                                  | ~ ( white @ X18 @ X4 )
                                  | ~ ( old @ X18 @ X4 )
                                  | ~ ( way @ X20 @ X4 )
                                  | ~ ( barrel @ X16 @ X18 @ X4 )
                                  | ~ ( in @ X16 @ X14 @ X4 )
                                  | ~ ( down @ X16 @ X20 @ X4 )
                                  | ~ ( lonely @ X20 @ X4 )
                                  | ~ ( street @ X20 @ X4 )
                                  | ~ ( dirty @ X18 @ X4 )
                                  | ~ ( car @ X18 @ X4 )
                                  | ~ ( event @ X16 @ X4 )
                                  | ~ ( hollywood @ X14 @ X4 ) ) ) ) ) )
              | ! [X6: mu] :
                  ( ( exists_in_world @ X6 @ X4 )
                 => ! [X8: mu] :
                      ( ( exists_in_world @ X8 @ X4 )
                     => ! [X10: mu] :
                          ( ( exists_in_world @ X10 @ X4 )
                         => ! [X12: mu] :
                              ( ( exists_in_world @ X12 @ X4 )
                             => ( ~ ( city @ X6 @ X4 )
                                | ~ ( street @ X10 @ X4 )
                                | ~ ( lonely @ X10 @ X4 )
                                | ~ ( car @ X12 @ X4 )
                                | ~ ( dirty @ X12 @ X4 )
                                | ~ ( barrel @ X8 @ X12 @ X4 )
                                | ~ ( in @ X8 @ X6 @ X4 )
                                | ~ ( down @ X8 @ X10 @ X4 )
                                | ~ ( old @ X12 @ X4 )
                                | ~ ( white @ X12 @ X4 )
                                | ~ ( chevy @ X12 @ X4 )
                                | ~ ( way @ X10 @ X4 )
                                | ~ ( event @ X8 @ X4 )
                                | ~ ( hollywood @ X6 @ X4 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( (~)
          @ ( ( (~)
              @ ( ( (~)
                  @ ( !!
                    @ ^ [Y1: mu] :
                        ( ( exists_in_world @ Y1 @ Y0 )
                       => ( !!
                          @ ^ [Y2: mu] :
                              ( ( exists_in_world @ Y2 @ Y0 )
                             => ( !!
                                @ ^ [Y3: mu] :
                                    ( ( exists_in_world @ Y3 @ Y0 )
                                   => ( !!
                                      @ ^ [Y4: mu] :
                                          ( ( exists_in_world @ Y4 @ Y0 )
                                         => ( ( (~) @ ( city @ Y1 @ Y0 ) )
                                            | ( (~) @ ( street @ Y3 @ Y0 ) )
                                            | ( (~) @ ( lonely @ Y3 @ Y0 ) )
                                            | ( (~) @ ( car @ Y4 @ Y0 ) )
                                            | ( (~) @ ( dirty @ Y4 @ Y0 ) )
                                            | ( (~) @ ( barrel @ Y2 @ Y4 @ Y0 ) )
                                            | ( (~) @ ( in @ Y2 @ Y1 @ Y0 ) )
                                            | ( (~) @ ( down @ Y2 @ Y3 @ Y0 ) )
                                            | ( (~) @ ( old @ Y4 @ Y0 ) )
                                            | ( (~) @ ( white @ Y4 @ Y0 ) )
                                            | ( (~) @ ( chevy @ Y4 @ Y0 ) )
                                            | ( (~) @ ( way @ Y3 @ Y0 ) )
                                            | ( (~) @ ( event @ Y2 @ Y0 ) )
                                            | ( (~) @ ( hollywood @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ Y0 )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ Y0 )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ Y0 )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ Y0 )
                                       => ( ( (~) @ ( city @ Y1 @ Y0 ) )
                                          | ( (~) @ ( chevy @ Y3 @ Y0 ) )
                                          | ( (~) @ ( white @ Y3 @ Y0 ) )
                                          | ( (~) @ ( old @ Y3 @ Y0 ) )
                                          | ( (~) @ ( way @ Y4 @ Y0 ) )
                                          | ( (~) @ ( barrel @ Y2 @ Y3 @ Y0 ) )
                                          | ( (~) @ ( in @ Y2 @ Y1 @ Y0 ) )
                                          | ( (~) @ ( down @ Y2 @ Y4 @ Y0 ) )
                                          | ( (~) @ ( lonely @ Y4 @ Y0 ) )
                                          | ( (~) @ ( street @ Y4 @ Y0 ) )
                                          | ( (~) @ ( dirty @ Y3 @ Y0 ) )
                                          | ( (~) @ ( car @ Y3 @ Y0 ) )
                                          | ( (~) @ ( event @ Y2 @ Y0 ) )
                                          | ( (~) @ ( hollywood @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) )
            | ( (~)
              @ ( ( (~)
                  @ ( !!
                    @ ^ [Y1: mu] :
                        ( ( exists_in_world @ Y1 @ Y0 )
                       => ( !!
                          @ ^ [Y2: mu] :
                              ( ( exists_in_world @ Y2 @ Y0 )
                             => ( !!
                                @ ^ [Y3: mu] :
                                    ( ( exists_in_world @ Y3 @ Y0 )
                                   => ( !!
                                      @ ^ [Y4: mu] :
                                          ( ( exists_in_world @ Y4 @ Y0 )
                                         => ( ( (~) @ ( city @ Y1 @ Y0 ) )
                                            | ( (~) @ ( chevy @ Y3 @ Y0 ) )
                                            | ( (~) @ ( white @ Y3 @ Y0 ) )
                                            | ( (~) @ ( old @ Y3 @ Y0 ) )
                                            | ( (~) @ ( way @ Y4 @ Y0 ) )
                                            | ( (~) @ ( barrel @ Y2 @ Y3 @ Y0 ) )
                                            | ( (~) @ ( in @ Y2 @ Y1 @ Y0 ) )
                                            | ( (~) @ ( down @ Y2 @ Y4 @ Y0 ) )
                                            | ( (~) @ ( lonely @ Y4 @ Y0 ) )
                                            | ( (~) @ ( street @ Y4 @ Y0 ) )
                                            | ( (~) @ ( dirty @ Y3 @ Y0 ) )
                                            | ( (~) @ ( car @ Y3 @ Y0 ) )
                                            | ( (~) @ ( event @ Y2 @ Y0 ) )
                                            | ( (~) @ ( hollywood @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
                | ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ Y0 )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ Y0 )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ Y0 )
                                 => ( !!
                                    @ ^ [Y4: mu] :
                                        ( ( exists_in_world @ Y4 @ Y0 )
                                       => ( ( (~) @ ( city @ Y1 @ Y0 ) )
                                          | ( (~) @ ( street @ Y3 @ Y0 ) )
                                          | ( (~) @ ( lonely @ Y3 @ Y0 ) )
                                          | ( (~) @ ( car @ Y4 @ Y0 ) )
                                          | ( (~) @ ( dirty @ Y4 @ Y0 ) )
                                          | ( (~) @ ( barrel @ Y2 @ Y4 @ Y0 ) )
                                          | ( (~) @ ( in @ Y2 @ Y1 @ Y0 ) )
                                          | ( (~) @ ( down @ Y2 @ Y3 @ Y0 ) )
                                          | ( (~) @ ( old @ Y4 @ Y0 ) )
                                          | ( (~) @ ( white @ Y4 @ Y0 ) )
                                          | ( (~) @ ( chevy @ Y4 @ Y0 ) )
                                          | ( (~) @ ( way @ Y3 @ Y0 ) )
                                          | ( (~) @ ( event @ Y2 @ Y0 ) )
                                          | ( (~) @ ( hollywood @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( ( (~)
      @ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( (~)
      @ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~) @ $true )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( ( exists_in_world @ '#sk2' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                            | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y0 @ '#sk2' @ '#sk1' ) )
                            | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                          | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y0 @ '#sk2' @ '#sk1' ) )
                          | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ( ( exists_in_world @ '#sk2' @ '#sk1' )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl19,plain,
    ( ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                          | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y0 @ '#sk2' @ '#sk1' ) )
                          | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( ( exists_in_world @ '#sk5' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                      | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ '#sk5' @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
                      | ( (~) @ ( down @ '#sk5' @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                    | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ '#sk5' @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
                    | ( (~) @ ( down @ '#sk5' @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( ( exists_in_world @ '#sk7' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
                | ( (~) @ ( chevy @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( white @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( old @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                | ( (~) @ ( barrel @ '#sk5' @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
                | ( (~) @ ( down @ '#sk5' @ Y0 @ '#sk1' ) )
                | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                | ( (~) @ ( dirty @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( car @ '#sk7' @ '#sk1' ) )
                | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
                | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
              | ( (~) @ ( chevy @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( white @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( old @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( way @ Y0 @ '#sk1' ) )
              | ( (~) @ ( barrel @ '#sk5' @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
              | ( (~) @ ( down @ '#sk5' @ Y0 @ '#sk1' ) )
              | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
              | ( (~) @ ( street @ Y0 @ '#sk1' ) )
              | ( (~) @ ( dirty @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( car @ '#sk7' @ '#sk1' ) )
              | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
              | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( ( exists_in_world @ '#sk9' @ '#sk1' )
       => ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
          | ( (~) @ ( chevy @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( white @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( old @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( way @ '#sk9' @ '#sk1' ) )
          | ( (~) @ ( barrel @ '#sk5' @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
          | ( (~) @ ( down @ '#sk5' @ '#sk9' @ '#sk1' ) )
          | ( (~) @ ( lonely @ '#sk9' @ '#sk1' ) )
          | ( (~) @ ( street @ '#sk9' @ '#sk1' ) )
          | ( (~) @ ( dirty @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( car @ '#sk7' @ '#sk1' ) )
          | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
          | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl43,plain,
    ( ~ ( ( (~) @ ( city @ '#sk2' @ '#sk1' ) )
        | ( (~) @ ( chevy @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( white @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( old @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( way @ '#sk9' @ '#sk1' ) )
        | ( (~) @ ( barrel @ '#sk5' @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk5' @ '#sk2' @ '#sk1' ) )
        | ( (~) @ ( down @ '#sk5' @ '#sk9' @ '#sk1' ) )
        | ( (~) @ ( lonely @ '#sk9' @ '#sk1' ) )
        | ( (~) @ ( street @ '#sk9' @ '#sk1' ) )
        | ( (~) @ ( dirty @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( car @ '#sk7' @ '#sk1' ) )
        | ( (~) @ ( event @ '#sk5' @ '#sk1' ) )
        | ( (~) @ ( hollywood @ '#sk2' @ '#sk1' ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl53,plain,
    ( ( in @ '#sk5' @ '#sk2' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl16_001,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl17,plain,
    ( ~ ( ( exists_in_world @ '#sk4' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
                            | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y0 @ '#sk4' @ '#sk1' ) )
                            | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl22,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
                          | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y0 @ '#sk4' @ '#sk1' ) )
                          | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ( ~ ( ( exists_in_world @ '#sk6' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
                      | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ '#sk6' @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
                      | ( (~) @ ( down @ '#sk6' @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
                    | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ '#sk6' @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
                    | ( (~) @ ( down @ '#sk6' @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( ( exists_in_world @ '#sk8' @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
                | ( (~) @ ( street @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( lonely @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                | ( (~) @ ( barrel @ '#sk6' @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
                | ( (~) @ ( down @ '#sk6' @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                | ( (~) @ ( way @ '#sk8' @ '#sk1' ) )
                | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
                | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
              | ( (~) @ ( street @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( lonely @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( car @ Y0 @ '#sk1' ) )
              | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
              | ( (~) @ ( barrel @ '#sk6' @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
              | ( (~) @ ( down @ '#sk6' @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( old @ Y0 @ '#sk1' ) )
              | ( (~) @ ( white @ Y0 @ '#sk1' ) )
              | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
              | ( (~) @ ( way @ '#sk8' @ '#sk1' ) )
              | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
              | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl41,plain,
    ( ~ ( ( exists_in_world @ '#sk10' @ '#sk1' )
       => ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
          | ( (~) @ ( street @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( lonely @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( car @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( dirty @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( barrel @ '#sk6' @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
          | ( (~) @ ( down @ '#sk6' @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( old @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( white @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( chevy @ '#sk10' @ '#sk1' ) )
          | ( (~) @ ( way @ '#sk8' @ '#sk1' ) )
          | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
          | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( ( (~) @ ( city @ '#sk4' @ '#sk1' ) )
        | ( (~) @ ( street @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( lonely @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( car @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( dirty @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( barrel @ '#sk6' @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( in @ '#sk6' @ '#sk4' @ '#sk1' ) )
        | ( (~) @ ( down @ '#sk6' @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( old @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( white @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( chevy @ '#sk10' @ '#sk1' ) )
        | ( (~) @ ( way @ '#sk8' @ '#sk1' ) )
        | ( (~) @ ( event @ '#sk6' @ '#sk1' ) )
        | ( (~) @ ( hollywood @ '#sk4' @ '#sk1' ) ) )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl62,plain,
    ( ( city @ '#sk4' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl75,plain,
    ( ( hollywood @ '#sk4' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl68,plain,
    ( ( in @ '#sk6' @ '#sk4' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl67,plain,
    ( ( barrel @ '#sk6' @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl74,plain,
    ( ( event @ '#sk6' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl73,plain,
    ( ( way @ '#sk8' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl64,plain,
    ( ( lonely @ '#sk8' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl63,plain,
    ( ( street @ '#sk8' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl29,plain,
    ( ( exists_in_world @ '#sk6' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl37,plain,
    ( ( exists_in_world @ '#sk8' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl69,plain,
    ( ( down @ '#sk6' @ '#sk8' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl3,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                              | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                              | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( ( (~)
          @ ( !!
            @ ^ [Y0: mu] :
                ( ( exists_in_world @ Y0 @ '#sk1' )
               => ( !!
                  @ ^ [Y1: mu] :
                      ( ( exists_in_world @ Y1 @ '#sk1' )
                     => ( !!
                        @ ^ [Y2: mu] :
                            ( ( exists_in_world @ Y2 @ '#sk1' )
                           => ( !!
                              @ ^ [Y3: mu] :
                                  ( ( exists_in_world @ Y3 @ '#sk1' )
                                 => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                    | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                    | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                    | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                    | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) )
        | $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                              | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ~ ( (~)
        @ ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( !!
                            @ ^ [Y3: mu] :
                                ( ( exists_in_world @ Y3 @ '#sk1' )
                               => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                  | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                  | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                  | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                  | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                              | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
    | ( !!
      @ ^ [Y0: mu] :
          ( ( exists_in_world @ Y0 @ '#sk1' )
         => ( !!
            @ ^ [Y1: mu] :
                ( ( exists_in_world @ Y1 @ '#sk1' )
               => ( !!
                  @ ^ [Y2: mu] :
                      ( ( exists_in_world @ Y2 @ '#sk1' )
                     => ( !!
                        @ ^ [Y3: mu] :
                            ( ( exists_in_world @ Y3 @ '#sk1' )
                           => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                              | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                              | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                              | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                              | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: mu] :
      ( ( ( exists_in_world @ X2 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
                            | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                            | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: mu] :
      ( ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
                          | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y0 @ X2 @ '#sk1' ) )
                          | ( (~) @ ( down @ Y0 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    ! [X2: mu,X4: mu] :
      ( ( ( exists_in_world @ X4 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
                      | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ X4 @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
                      | ( (~) @ ( down @ X4 @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( event @ X4 @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl20,plain,
    ! [X2: mu,X4: mu] :
      ( ~ ( exists_in_world @ X4 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
                    | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ X4 @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
                    | ( (~) @ ( down @ X4 @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( event @ X4 @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl24,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ( ( exists_in_world @ X6 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
                | ( (~) @ ( street @ X6 @ '#sk1' ) )
                | ( (~) @ ( lonely @ X6 @ '#sk1' ) )
                | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                | ( (~) @ ( barrel @ X4 @ Y0 @ '#sk1' ) )
                | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
                | ( (~) @ ( down @ X4 @ X6 @ '#sk1' ) )
                | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                | ( (~) @ ( way @ X6 @ '#sk1' ) )
                | ( (~) @ ( event @ X4 @ '#sk1' ) )
                | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl28,plain,
    ! [X2: mu,X4: mu,X6: mu] :
      ( ~ ( exists_in_world @ X6 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
              | ( (~) @ ( street @ X6 @ '#sk1' ) )
              | ( (~) @ ( lonely @ X6 @ '#sk1' ) )
              | ( (~) @ ( car @ Y0 @ '#sk1' ) )
              | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
              | ( (~) @ ( barrel @ X4 @ Y0 @ '#sk1' ) )
              | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
              | ( (~) @ ( down @ X4 @ X6 @ '#sk1' ) )
              | ( (~) @ ( old @ Y0 @ '#sk1' ) )
              | ( (~) @ ( white @ Y0 @ '#sk1' ) )
              | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
              | ( (~) @ ( way @ X6 @ '#sk1' ) )
              | ( (~) @ ( event @ X4 @ '#sk1' ) )
              | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) ) )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl32,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ( ( exists_in_world @ X8 @ '#sk1' )
       => ( ( (~) @ ( city @ X2 @ '#sk1' ) )
          | ( (~) @ ( street @ X6 @ '#sk1' ) )
          | ( (~) @ ( lonely @ X6 @ '#sk1' ) )
          | ( (~) @ ( car @ X8 @ '#sk1' ) )
          | ( (~) @ ( dirty @ X8 @ '#sk1' ) )
          | ( (~) @ ( barrel @ X4 @ X8 @ '#sk1' ) )
          | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
          | ( (~) @ ( down @ X4 @ X6 @ '#sk1' ) )
          | ( (~) @ ( old @ X8 @ '#sk1' ) )
          | ( (~) @ ( white @ X8 @ '#sk1' ) )
          | ( (~) @ ( chevy @ X8 @ '#sk1' ) )
          | ( (~) @ ( way @ X6 @ '#sk1' ) )
          | ( (~) @ ( event @ X4 @ '#sk1' ) )
          | ( (~) @ ( hollywood @ X2 @ '#sk1' ) ) ) )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl36,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ~ ( exists_in_world @ X8 @ '#sk1' )
      | ( (~) @ ( city @ X2 @ '#sk1' ) )
      | ( (~) @ ( street @ X6 @ '#sk1' ) )
      | ( (~) @ ( lonely @ X6 @ '#sk1' ) )
      | ( (~) @ ( car @ X8 @ '#sk1' ) )
      | ( (~) @ ( dirty @ X8 @ '#sk1' ) )
      | ( (~) @ ( barrel @ X4 @ X8 @ '#sk1' ) )
      | ( (~) @ ( in @ X4 @ X2 @ '#sk1' ) )
      | ( (~) @ ( down @ X4 @ X6 @ '#sk1' ) )
      | ( (~) @ ( old @ X8 @ '#sk1' ) )
      | ( (~) @ ( white @ X8 @ '#sk1' ) )
      | ( (~) @ ( chevy @ X8 @ '#sk1' ) )
      | ( (~) @ ( way @ X6 @ '#sk1' ) )
      | ( (~) @ ( event @ X4 @ '#sk1' ) )
      | ( (~) @ ( hollywood @ X2 @ '#sk1' ) )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl40,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu] :
      ( ~ ( city @ X2 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl44,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ( ( exists_in_world @ X10 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( !!
                      @ ^ [Y2: mu] :
                          ( ( exists_in_world @ Y2 @ '#sk1' )
                         => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
                            | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( in @ Y0 @ X10 @ '#sk1' ) )
                            | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                            | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                            | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                            | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl61,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
      ( ~ ( exists_in_world @ X10 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
                          | ( (~) @ ( chevy @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( white @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( old @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( barrel @ Y0 @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( in @ Y0 @ X10 @ '#sk1' ) )
                          | ( (~) @ ( down @ Y0 @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                          | ( (~) @ ( dirty @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( car @ Y1 @ '#sk1' ) )
                          | ( (~) @ ( event @ Y0 @ '#sk1' ) )
                          | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) ) ) ) ) )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl76,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ( ( exists_in_world @ X12 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( !!
                @ ^ [Y1: mu] :
                    ( ( exists_in_world @ Y1 @ '#sk1' )
                   => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
                      | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( barrel @ X12 @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
                      | ( (~) @ ( down @ X12 @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                      | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                      | ( (~) @ ( event @ X12 @ '#sk1' ) )
                      | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).

thf(zip_derived_cl77,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
      ( ~ ( exists_in_world @ X12 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
                    | ( (~) @ ( chevy @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( white @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( old @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( way @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( barrel @ X12 @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
                    | ( (~) @ ( down @ X12 @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( lonely @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( street @ Y1 @ '#sk1' ) )
                    | ( (~) @ ( dirty @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( car @ Y0 @ '#sk1' ) )
                    | ( (~) @ ( event @ X12 @ '#sk1' ) )
                    | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) ) ) )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl78,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ( ( exists_in_world @ X14 @ '#sk1' )
       => ( !!
          @ ^ [Y0: mu] :
              ( ( exists_in_world @ Y0 @ '#sk1' )
             => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
                | ( (~) @ ( chevy @ X14 @ '#sk1' ) )
                | ( (~) @ ( white @ X14 @ '#sk1' ) )
                | ( (~) @ ( old @ X14 @ '#sk1' ) )
                | ( (~) @ ( way @ Y0 @ '#sk1' ) )
                | ( (~) @ ( barrel @ X12 @ X14 @ '#sk1' ) )
                | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
                | ( (~) @ ( down @ X12 @ Y0 @ '#sk1' ) )
                | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
                | ( (~) @ ( street @ Y0 @ '#sk1' ) )
                | ( (~) @ ( dirty @ X14 @ '#sk1' ) )
                | ( (~) @ ( car @ X14 @ '#sk1' ) )
                | ( (~) @ ( event @ X12 @ '#sk1' ) )
                | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl79,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
      ( ~ ( exists_in_world @ X14 @ '#sk1' )
      | ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
              | ( (~) @ ( chevy @ X14 @ '#sk1' ) )
              | ( (~) @ ( white @ X14 @ '#sk1' ) )
              | ( (~) @ ( old @ X14 @ '#sk1' ) )
              | ( (~) @ ( way @ Y0 @ '#sk1' ) )
              | ( (~) @ ( barrel @ X12 @ X14 @ '#sk1' ) )
              | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
              | ( (~) @ ( down @ X12 @ Y0 @ '#sk1' ) )
              | ( (~) @ ( lonely @ Y0 @ '#sk1' ) )
              | ( (~) @ ( street @ Y0 @ '#sk1' ) )
              | ( (~) @ ( dirty @ X14 @ '#sk1' ) )
              | ( (~) @ ( car @ X14 @ '#sk1' ) )
              | ( (~) @ ( event @ X12 @ '#sk1' ) )
              | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) ) )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl80,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ( ( exists_in_world @ X16 @ '#sk1' )
       => ( ( (~) @ ( city @ X10 @ '#sk1' ) )
          | ( (~) @ ( chevy @ X14 @ '#sk1' ) )
          | ( (~) @ ( white @ X14 @ '#sk1' ) )
          | ( (~) @ ( old @ X14 @ '#sk1' ) )
          | ( (~) @ ( way @ X16 @ '#sk1' ) )
          | ( (~) @ ( barrel @ X12 @ X14 @ '#sk1' ) )
          | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
          | ( (~) @ ( down @ X12 @ X16 @ '#sk1' ) )
          | ( (~) @ ( lonely @ X16 @ '#sk1' ) )
          | ( (~) @ ( street @ X16 @ '#sk1' ) )
          | ( (~) @ ( dirty @ X14 @ '#sk1' ) )
          | ( (~) @ ( car @ X14 @ '#sk1' ) )
          | ( (~) @ ( event @ X12 @ '#sk1' ) )
          | ( (~) @ ( hollywood @ X10 @ '#sk1' ) ) ) )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl81,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ~ ( exists_in_world @ X16 @ '#sk1' )
      | ( (~) @ ( city @ X10 @ '#sk1' ) )
      | ( (~) @ ( chevy @ X14 @ '#sk1' ) )
      | ( (~) @ ( white @ X14 @ '#sk1' ) )
      | ( (~) @ ( old @ X14 @ '#sk1' ) )
      | ( (~) @ ( way @ X16 @ '#sk1' ) )
      | ( (~) @ ( barrel @ X12 @ X14 @ '#sk1' ) )
      | ( (~) @ ( in @ X12 @ X10 @ '#sk1' ) )
      | ( (~) @ ( down @ X12 @ X16 @ '#sk1' ) )
      | ( (~) @ ( lonely @ X16 @ '#sk1' ) )
      | ( (~) @ ( street @ X16 @ '#sk1' ) )
      | ( (~) @ ( dirty @ X14 @ '#sk1' ) )
      | ( (~) @ ( car @ X14 @ '#sk1' ) )
      | ( (~) @ ( event @ X12 @ '#sk1' ) )
      | ( (~) @ ( hollywood @ X10 @ '#sk1' ) )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl82,plain,
    ! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
      ( ~ ( city @ X10 @ '#sk1' )
      | ~ ( chevy @ X14 @ '#sk1' )
      | ~ ( white @ X14 @ '#sk1' )
      | ~ ( old @ X14 @ '#sk1' )
      | ~ ( way @ X16 @ '#sk1' )
      | ~ ( barrel @ X12 @ X14 @ '#sk1' )
      | ~ ( in @ X12 @ X10 @ '#sk1' )
      | ~ ( down @ X12 @ X16 @ '#sk1' )
      | ~ ( lonely @ X16 @ '#sk1' )
      | ~ ( street @ X16 @ '#sk1' )
      | ~ ( dirty @ X14 @ '#sk1' )
      | ~ ( car @ X14 @ '#sk1' )
      | ~ ( event @ X12 @ '#sk1' )
      | ~ ( hollywood @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X8 @ '#sk1' )
      | ~ ( exists_in_world @ X6 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( hollywood @ X2 @ '#sk1' )
      | ~ ( event @ X4 @ '#sk1' )
      | ~ ( way @ X6 @ '#sk1' )
      | ~ ( chevy @ X8 @ '#sk1' )
      | ~ ( white @ X8 @ '#sk1' )
      | ~ ( old @ X8 @ '#sk1' )
      | ~ ( down @ X4 @ X6 @ '#sk1' )
      | ~ ( in @ X4 @ X2 @ '#sk1' )
      | ~ ( barrel @ X4 @ X8 @ '#sk1' )
      | ~ ( dirty @ X8 @ '#sk1' )
      | ~ ( car @ X8 @ '#sk1' )
      | ~ ( lonely @ X6 @ '#sk1' )
      | ~ ( street @ X6 @ '#sk1' )
      | ~ ( city @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X10 @ '#sk1' )
      | ~ ( exists_in_world @ X12 @ '#sk1' )
      | ~ ( exists_in_world @ X14 @ '#sk1' )
      | ~ ( exists_in_world @ X16 @ '#sk1' ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl85,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu] :
      ( ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( city @ X4 @ '#sk1' )
      | ~ ( street @ X5 @ '#sk1' )
      | ~ ( lonely @ X5 @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( barrel @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X1 @ X4 @ '#sk1' )
      | ~ ( down @ X1 @ X5 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( way @ X5 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( hollywood @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( hollywood @ X3 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( down @ X1 @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X3 @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( city @ X3 @ '#sk1' ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl86,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu,X5: mu] :
      ( ~ ( city @ X3 @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X3 @ '#sk1' )
      | ~ ( down @ X1 @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( hollywood @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X5 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( hollywood @ X4 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( way @ X5 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( down @ X1 @ X5 @ '#sk1' )
      | ~ ( in @ X1 @ X4 @ '#sk1' )
      | ~ ( barrel @ X1 @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( lonely @ X5 @ '#sk1' )
      | ~ ( street @ X5 @ '#sk1' )
      | ~ ( city @ X4 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl93,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( car @ X3 @ '#sk1' )
      | ~ ( dirty @ X3 @ '#sk1' )
      | ~ ( barrel @ X1 @ X3 @ '#sk1' )
      | ~ ( in @ X1 @ X0 @ '#sk1' )
      | ~ ( down @ X1 @ X4 @ '#sk1' )
      | ~ ( old @ X3 @ '#sk1' )
      | ~ ( white @ X3 @ '#sk1' )
      | ~ ( chevy @ X3 @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( down @ X1 @ X2 @ '#sk1' )
      | ~ ( way @ X2 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl94,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu,X4: mu] :
      ( ~ ( way @ X2 @ '#sk1' )
      | ~ ( down @ X1 @ X2 @ '#sk1' )
      | ~ ( lonely @ X2 @ '#sk1' )
      | ~ ( street @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X4 @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( way @ X4 @ '#sk1' )
      | ~ ( chevy @ X3 @ '#sk1' )
      | ~ ( white @ X3 @ '#sk1' )
      | ~ ( old @ X3 @ '#sk1' )
      | ~ ( down @ X1 @ X4 @ '#sk1' )
      | ~ ( in @ X1 @ X0 @ '#sk1' )
      | ~ ( barrel @ X1 @ X3 @ '#sk1' )
      | ~ ( dirty @ X3 @ '#sk1' )
      | ~ ( car @ X3 @ '#sk1' )
      | ~ ( lonely @ X4 @ '#sk1' )
      | ~ ( street @ X4 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl105,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu] :
      ( ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( city @ X3 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( car @ X2 @ '#sk1' )
      | ~ ( dirty @ X2 @ '#sk1' )
      | ~ ( barrel @ X1 @ X2 @ '#sk1' )
      | ~ ( in @ X1 @ X3 @ '#sk1' )
      | ~ ( down @ X1 @ X0 @ '#sk1' )
      | ~ ( old @ X2 @ '#sk1' )
      | ~ ( white @ X2 @ '#sk1' )
      | ~ ( chevy @ X2 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( hollywood @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl106,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu] :
      ( ~ ( hollywood @ X3 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( chevy @ X2 @ '#sk1' )
      | ~ ( white @ X2 @ '#sk1' )
      | ~ ( old @ X2 @ '#sk1' )
      | ~ ( down @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X1 @ X3 @ '#sk1' )
      | ~ ( barrel @ X1 @ X2 @ '#sk1' )
      | ~ ( dirty @ X2 @ '#sk1' )
      | ~ ( car @ X2 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( city @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl105]) ).

thf(zip_derived_cl111,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | ~ ( exists_in_world @ '#sk8' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( city @ X1 @ '#sk1' )
      | ~ ( street @ '#sk8' @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl106]) ).

thf(zip_derived_cl115,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( street @ '#sk8' @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | '#form3' ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl111]) ).

thf(zip_derived_cl117,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk6' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( street @ '#sk8' @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl119,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( street @ '#sk8' @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl117]) ).

thf(zip_derived_cl121,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( street @ '#sk8' @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl123,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl121]) ).

thf(zip_derived_cl125,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( lonely @ '#sk8' @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl127,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl125]) ).

thf(zip_derived_cl129,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( way @ '#sk8' @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl131,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl129]) ).

thf(zip_derived_cl133,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( event @ '#sk6' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl135,plain,
    ! [X0: mu,X1: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl133]) ).

thf(zip_derived_cl137,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( car @ X1 @ '#sk1' )
      | ~ ( dirty @ X1 @ '#sk1' )
      | ~ ( barrel @ '#sk6' @ X1 @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ X1 @ '#sk1' )
      | ~ ( white @ X1 @ '#sk1' )
      | ~ ( chevy @ X1 @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl139,plain,
    ! [X0: mu] :
      ( '#form3'
      | '#form3'
      | ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( chevy @ '#sk10' @ '#sk1' )
      | ~ ( white @ '#sk10' @ '#sk1' )
      | ~ ( old @ '#sk10' @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( dirty @ '#sk10' @ '#sk1' )
      | ~ ( car @ '#sk10' @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk10' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl137]) ).

thf(zip_derived_cl141,plain,
    ! [X0: mu] :
      ( ~ ( exists_in_world @ '#sk10' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( car @ '#sk10' @ '#sk1' )
      | ~ ( dirty @ '#sk10' @ '#sk1' )
      | ~ ( in @ '#sk6' @ X0 @ '#sk1' )
      | ~ ( old @ '#sk10' @ '#sk1' )
      | ~ ( white @ '#sk10' @ '#sk1' )
      | ~ ( chevy @ '#sk10' @ '#sk1' )
      | ~ ( hollywood @ X0 @ '#sk1' )
      | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl144,plain,
    ( '#form3'
    | '#form3'
    | ~ ( hollywood @ '#sk4' @ '#sk1' )
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( city @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl141]) ).

thf(zip_derived_cl147,plain,
    ( ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( city @ '#sk4' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | ~ ( hollywood @ '#sk4' @ '#sk1' )
    | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl152,plain,
    ( '#form3'
    | '#form3'
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( city @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl147]) ).

thf(zip_derived_cl155,plain,
    ( ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( city @ '#sk4' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl160,plain,
    ( '#form3'
    | '#form3'
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk10' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl155]) ).

thf(zip_derived_cl163,plain,
    ( ~ ( exists_in_world @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(simplify,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl45,plain,
    ( ( exists_in_world @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl167,plain,
    ( '#form3'
    | ~ ( chevy @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( exists_in_world @ '#sk4' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl163,zip_derived_cl45]) ).

thf(zip_derived_cl72,plain,
    ( ( chevy @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl168,plain,
    ( ~ ( exists_in_world @ '#sk4' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( white @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl72]) ).

thf(zip_derived_cl21,plain,
    ( ( exists_in_world @ '#sk4' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl169,plain,
    ( '#form3'
    | ~ ( white @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( car @ '#sk10' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl21]) ).

thf(zip_derived_cl71,plain,
    ( ( white @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl170,plain,
    ( ~ ( car @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' )
    | ~ ( old @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl71]) ).

thf(zip_derived_cl65,plain,
    ( ( car @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl171,plain,
    ( '#form3'
    | ~ ( old @ '#sk10' @ '#sk1' )
    | ~ ( dirty @ '#sk10' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl65]) ).

thf(zip_derived_cl70,plain,
    ( ( old @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl172,plain,
    ( ~ ( dirty @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl70]) ).

thf(zip_derived_cl66,plain,
    ( ( dirty @ '#sk10' @ '#sk1' )
    | '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl173,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl184,plain,
    in @ '#sk5' @ '#sk2' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl173]) ).

thf(zip_derived_cl52,plain,
    ( ( barrel @ '#sk5' @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_002,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl183,plain,
    barrel @ '#sk5' @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl173]) ).

thf(zip_derived_cl54,plain,
    ( ( down @ '#sk5' @ '#sk9' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_003,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl185,plain,
    down @ '#sk5' @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl173]) ).

thf(zip_derived_cl106_004,plain,
    ! [X0: mu,X1: mu,X2: mu,X3: mu] :
      ( ~ ( hollywood @ X3 @ '#sk1' )
      | ~ ( event @ X1 @ '#sk1' )
      | ~ ( way @ X0 @ '#sk1' )
      | ~ ( chevy @ X2 @ '#sk1' )
      | ~ ( white @ X2 @ '#sk1' )
      | ~ ( old @ X2 @ '#sk1' )
      | ~ ( down @ X1 @ X0 @ '#sk1' )
      | ~ ( in @ X1 @ X3 @ '#sk1' )
      | ~ ( barrel @ X1 @ X2 @ '#sk1' )
      | ~ ( dirty @ X2 @ '#sk1' )
      | ~ ( car @ X2 @ '#sk1' )
      | ~ ( lonely @ X0 @ '#sk1' )
      | ~ ( street @ X0 @ '#sk1' )
      | ~ ( city @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X3 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( exists_in_world @ X2 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl105]) ).

thf(zip_derived_cl194,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ '#sk9' @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk5' @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( city @ X1 @ '#sk1' )
      | ~ ( street @ '#sk9' @ '#sk1' )
      | ~ ( lonely @ '#sk9' @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk5' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk5' @ X1 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( way @ '#sk9' @ '#sk1' )
      | ~ ( event @ '#sk5' @ '#sk1' )
      | ~ ( hollywood @ X1 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl106]) ).

thf(zip_derived_cl42,plain,
    ( ( exists_in_world @ '#sk9' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl173_005,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl177,plain,
    exists_in_world @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl173]) ).

thf(zip_derived_cl26,plain,
    ( ( exists_in_world @ '#sk5' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl173_006,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl175,plain,
    exists_in_world @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl173]) ).

thf(zip_derived_cl56,plain,
    ( ( street @ '#sk9' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_007,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl187,plain,
    street @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl173]) ).

thf(zip_derived_cl55,plain,
    ( ( lonely @ '#sk9' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_008,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl186,plain,
    lonely @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl173]) ).

thf(zip_derived_cl51,plain,
    ( ( way @ '#sk9' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_009,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl182,plain,
    way @ '#sk9' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl173]) ).

thf(zip_derived_cl59,plain,
    ( ( event @ '#sk5' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_010,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl190,plain,
    event @ '#sk5' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl173]) ).

thf(zip_derived_cl196,plain,
    ! [X0: mu,X1: mu] :
      ( ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X1 @ '#sk1' )
      | ~ ( city @ X1 @ '#sk1' )
      | ~ ( car @ X0 @ '#sk1' )
      | ~ ( dirty @ X0 @ '#sk1' )
      | ~ ( barrel @ '#sk5' @ X0 @ '#sk1' )
      | ~ ( in @ '#sk5' @ X1 @ '#sk1' )
      | ~ ( old @ X0 @ '#sk1' )
      | ~ ( white @ X0 @ '#sk1' )
      | ~ ( chevy @ X0 @ '#sk1' )
      | ~ ( hollywood @ X1 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl177,zip_derived_cl175,zip_derived_cl187,zip_derived_cl186,zip_derived_cl182,zip_derived_cl190]) ).

thf(zip_derived_cl206,plain,
    ! [X0: mu] :
      ( ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( chevy @ '#sk7' @ '#sk1' )
      | ~ ( white @ '#sk7' @ '#sk1' )
      | ~ ( old @ '#sk7' @ '#sk1' )
      | ~ ( in @ '#sk5' @ X0 @ '#sk1' )
      | ~ ( dirty @ '#sk7' @ '#sk1' )
      | ~ ( car @ '#sk7' @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ '#sk7' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl196]) ).

thf(zip_derived_cl48,plain,
    ( ( chevy @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_011,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl179,plain,
    chevy @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl173]) ).

thf(zip_derived_cl49,plain,
    ( ( white @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_012,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl180,plain,
    white @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl173]) ).

thf(zip_derived_cl50,plain,
    ( ( old @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_013,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl181,plain,
    old @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl173]) ).

thf(zip_derived_cl57,plain,
    ( ( dirty @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_014,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl188,plain,
    dirty @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl173]) ).

thf(zip_derived_cl58,plain,
    ( ( car @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_015,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl189,plain,
    car @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl173]) ).

thf(zip_derived_cl34,plain,
    ( ( exists_in_world @ '#sk7' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl173_016,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl176,plain,
    exists_in_world @ '#sk7' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl173]) ).

thf(zip_derived_cl208,plain,
    ! [X0: mu] :
      ( ~ ( hollywood @ X0 @ '#sk1' )
      | ~ ( in @ '#sk5' @ X0 @ '#sk1' )
      | ~ ( city @ X0 @ '#sk1' )
      | ~ ( exists_in_world @ X0 @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl179,zip_derived_cl180,zip_derived_cl181,zip_derived_cl188,zip_derived_cl189,zip_derived_cl176]) ).

thf(zip_derived_cl210,plain,
    ( ~ ( exists_in_world @ '#sk2' @ '#sk1' )
    | ~ ( city @ '#sk2' @ '#sk1' )
    | ~ ( hollywood @ '#sk2' @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl208]) ).

thf(zip_derived_cl13_017,plain,
    ( ( exists_in_world @ '#sk2' @ '#sk1' )
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl16_018,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: mu] :
            ( ( exists_in_world @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: mu] :
                  ( ( exists_in_world @ Y1 @ '#sk1' )
                 => ( !!
                    @ ^ [Y2: mu] :
                        ( ( exists_in_world @ Y2 @ '#sk1' )
                       => ( !!
                          @ ^ [Y3: mu] :
                              ( ( exists_in_world @ Y3 @ '#sk1' )
                             => ( ( (~) @ ( city @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( street @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( lonely @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( car @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( dirty @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( barrel @ Y1 @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( in @ Y1 @ Y0 @ '#sk1' ) )
                                | ( (~) @ ( down @ Y1 @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( old @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( white @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( chevy @ Y3 @ '#sk1' ) )
                                | ( (~) @ ( way @ Y2 @ '#sk1' ) )
                                | ( (~) @ ( event @ Y1 @ '#sk1' ) )
                                | ( (~) @ ( hollywood @ Y0 @ '#sk1' ) ) ) ) ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl18,plain,
    ( ~ '#form3'
    | ( exists_in_world @ '#sk2' @ '#sk1' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl13,zip_derived_cl16]) ).

thf(zip_derived_cl173_019,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl174,plain,
    exists_in_world @ '#sk2' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl173]) ).

thf(zip_derived_cl47,plain,
    ( ( city @ '#sk2' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_020,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl178,plain,
    city @ '#sk2' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl173]) ).

thf(zip_derived_cl60,plain,
    ( ( hollywood @ '#sk2' @ '#sk1' )
    | ~ '#form3' ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl173_021,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl66]) ).

thf(zip_derived_cl191,plain,
    hollywood @ '#sk2' @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl173]) ).

thf(zip_derived_cl212,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl174,zip_derived_cl178,zip_derived_cl191]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP001^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tJBJMIW9cZ true
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug 24 10:45:18 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.84/1.21  % Solved by lams/20_acsne_simpl.sh.
% 1.84/1.21  % done 83 iterations in 0.313s
% 1.84/1.21  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.84/1.21  % SZS output start Refutation
% See solution above
% 1.84/1.22  
% 1.84/1.22  
% 1.85/1.23  % Terminating...
% 1.96/1.34  % Runner terminated.
% 1.96/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------