TSTP Solution File: NLP001^3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP001^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M8WOucC0ek true

% Computer : n014.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 10:17:52 EDT 2023

% Result   : Theorem 1.16s 1.00s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  189 (  41 unt;  29 typ;   0 def)
%            Number of atoms       : 2213 (  12 equ;   1 cnn)
%            Maximal formula atoms :  128 (  13 avg)
%            Number of connectives : 6614 ( 480   ~; 491   |;1137   &;4215   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (  14 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   68 (  68   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   33 (  28 usr;  14 con; 0-3 aty)
%                                         (   0  !!; 276  ??;   0 @@+;   0 @@-)
%            Number of variables   :  446 ( 319   ^;  92   !;  35   ?; 446   :)

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

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

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

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

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

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

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

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

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

thf(mactual_type,type,
    mactual: mworld ).

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

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

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

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

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

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

thf('#form6_type',type,
    '#form6': $o ).

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

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

thf('#sk2_type',type,
    '#sk2': $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf('6',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

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

thf(co1,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [U: $i] :
              ( mexists_di
              @ ^ [V: $i] :
                  ( mexists_di
                  @ ^ [W: $i] :
                      ( mexists_di
                      @ ^ [X: $i] : ( 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_di
          @ ^ [Y: $i] :
              ( mexists_di
              @ ^ [Z: $i] :
                  ( mexists_di
                  @ ^ [X1: $i] :
                      ( mexists_di
                      @ ^ [X2: $i] : ( 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_di
          @ ^ [X3: $i] :
              ( mexists_di
              @ ^ [X4: $i] :
                  ( mexists_di
                  @ ^ [X5: $i] :
                      ( mexists_di
                      @ ^ [X6: $i] : ( 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_di
          @ ^ [X7: $i] :
              ( mexists_di
              @ ^ [X8: $i] :
                  ( mexists_di
                  @ ^ [X9: $i] :
                      ( mexists_di
                      @ ^ [X10: $i] : ( 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,X6: $i,X8: $i,X10: $i] :
          ( ( in @ X6 @ X4 @ mactual )
          & ( down @ X6 @ X8 @ mactual )
          & ( barrel @ X6 @ X10 @ mactual )
          & ( old @ X10 @ mactual )
          & ( dirty @ X10 @ mactual )
          & ( white @ X10 @ mactual )
          & ( car @ X10 @ mactual )
          & ( chevy @ X10 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( street @ X8 @ mactual )
          & ( event @ X6 @ mactual )
          & ( city @ X4 @ mactual )
          & ( hollywood @ X4 @ mactual ) )
     => ? [X12: $i,X14: $i,X16: $i,X18: $i] :
          ( ( in @ X14 @ X12 @ mactual )
          & ( down @ X14 @ X18 @ mactual )
          & ( barrel @ X14 @ X16 @ mactual )
          & ( lonely @ X18 @ mactual )
          & ( way @ X18 @ mactual )
          & ( street @ X18 @ mactual )
          & ( old @ X16 @ mactual )
          & ( dirty @ X16 @ mactual )
          & ( white @ X16 @ mactual )
          & ( car @ X16 @ mactual )
          & ( chevy @ X16 @ mactual )
          & ( event @ X14 @ mactual )
          & ( city @ X12 @ mactual )
          & ( hollywood @ X12 @ mactual ) ) )
    & ( ? [X20: $i,X22: $i,X24: $i,X26: $i] :
          ( ( in @ X22 @ X20 @ mactual )
          & ( down @ X22 @ X26 @ mactual )
          & ( barrel @ X22 @ X24 @ mactual )
          & ( lonely @ X26 @ mactual )
          & ( way @ X26 @ mactual )
          & ( street @ X26 @ mactual )
          & ( old @ X24 @ mactual )
          & ( dirty @ X24 @ mactual )
          & ( white @ X24 @ mactual )
          & ( car @ X24 @ mactual )
          & ( chevy @ X24 @ mactual )
          & ( event @ X22 @ mactual )
          & ( city @ X20 @ mactual )
          & ( hollywood @ X20 @ mactual ) )
     => ? [X28: $i,X30: $i,X32: $i,X34: $i] :
          ( ( in @ X30 @ X28 @ mactual )
          & ( down @ X30 @ X32 @ mactual )
          & ( barrel @ X30 @ X34 @ mactual )
          & ( old @ X34 @ mactual )
          & ( dirty @ X34 @ mactual )
          & ( white @ X34 @ mactual )
          & ( car @ X34 @ mactual )
          & ( chevy @ X34 @ mactual )
          & ( lonely @ X32 @ mactual )
          & ( way @ X32 @ mactual )
          & ( street @ X32 @ mactual )
          & ( event @ X30 @ mactual )
          & ( city @ X28 @ mactual )
          & ( hollywood @ X28 @ mactual ) ) ) ) ).

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

thf(zip_derived_cl1,plain,
    ~ ( ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) )
      & ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y2 @ mactual )
                      & ( barrel @ Y1 @ Y3 @ mactual )
                      & ( old @ Y3 @ mactual )
                      & ( dirty @ Y3 @ mactual )
                      & ( white @ Y3 @ mactual )
                      & ( car @ Y3 @ mactual )
                      & ( chevy @ Y3 @ mactual )
                      & ( lonely @ Y2 @ mactual )
                      & ( way @ Y2 @ mactual )
                      & ( street @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y2 @ mactual )
                      & ( barrel @ Y1 @ Y3 @ mactual )
                      & ( old @ Y3 @ mactual )
                      & ( dirty @ Y3 @ mactual )
                      & ( white @ Y3 @ mactual )
                      & ( car @ Y3 @ mactual )
                      & ( chevy @ Y3 @ mactual )
                      & ( lonely @ Y2 @ mactual )
                      & ( way @ Y2 @ mactual )
                      & ( street @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y2 @ mactual )
                      & ( barrel @ Y1 @ Y3 @ mactual )
                      & ( old @ Y3 @ mactual )
                      & ( dirty @ Y3 @ mactual )
                      & ( white @ Y3 @ mactual )
                      & ( car @ Y3 @ mactual )
                      & ( chevy @ Y3 @ mactual )
                      & ( lonely @ Y2 @ mactual )
                      & ( way @ Y2 @ mactual )
                      & ( street @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( (~)
        @ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y2 @ mactual )
                      & ( barrel @ Y1 @ Y3 @ mactual )
                      & ( old @ Y3 @ mactual )
                      & ( dirty @ Y3 @ mactual )
                      & ( white @ Y3 @ mactual )
                      & ( car @ Y3 @ mactual )
                      & ( chevy @ Y3 @ mactual )
                      & ( lonely @ Y2 @ mactual )
                      & ( way @ Y2 @ mactual )
                      & ( street @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ '#sk2' @ mactual )
                  & ( down @ Y0 @ Y1 @ mactual )
                  & ( barrel @ Y0 @ Y2 @ mactual )
                  & ( old @ Y2 @ mactual )
                  & ( dirty @ Y2 @ mactual )
                  & ( white @ Y2 @ mactual )
                  & ( car @ Y2 @ mactual )
                  & ( chevy @ Y2 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( event @ Y0 @ mactual )
                  & ( city @ '#sk2' @ mactual )
                  & ( hollywood @ '#sk2' @ mactual ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( in @ '#sk3' @ '#sk2' @ mactual )
              & ( down @ '#sk3' @ Y0 @ mactual )
              & ( barrel @ '#sk3' @ Y1 @ mactual )
              & ( old @ Y1 @ mactual )
              & ( dirty @ Y1 @ mactual )
              & ( white @ Y1 @ mactual )
              & ( car @ Y1 @ mactual )
              & ( chevy @ Y1 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( event @ '#sk3' @ mactual )
              & ( city @ '#sk2' @ mactual )
              & ( hollywood @ '#sk2' @ mactual ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( in @ '#sk3' @ '#sk2' @ mactual )
          & ( down @ '#sk3' @ '#sk4' @ mactual )
          & ( barrel @ '#sk3' @ Y0 @ mactual )
          & ( old @ Y0 @ mactual )
          & ( dirty @ Y0 @ mactual )
          & ( white @ Y0 @ mactual )
          & ( car @ Y0 @ mactual )
          & ( chevy @ Y0 @ mactual )
          & ( lonely @ '#sk4' @ mactual )
          & ( way @ '#sk4' @ mactual )
          & ( street @ '#sk4' @ mactual )
          & ( event @ '#sk3' @ mactual )
          & ( city @ '#sk2' @ mactual )
          & ( hollywood @ '#sk2' @ mactual ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl18,plain,
    ( ( ( in @ '#sk3' @ '#sk2' @ mactual )
      & ( down @ '#sk3' @ '#sk4' @ mactual )
      & ( barrel @ '#sk3' @ '#sk5' @ mactual )
      & ( old @ '#sk5' @ mactual )
      & ( dirty @ '#sk5' @ mactual )
      & ( white @ '#sk5' @ mactual )
      & ( car @ '#sk5' @ mactual )
      & ( chevy @ '#sk5' @ mactual )
      & ( lonely @ '#sk4' @ mactual )
      & ( way @ '#sk4' @ mactual )
      & ( street @ '#sk4' @ mactual )
      & ( event @ '#sk3' @ mactual )
      & ( city @ '#sk2' @ mactual )
      & ( hollywood @ '#sk2' @ mactual ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl20,plain,
    ( ( in @ '#sk3' @ '#sk2' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl36,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ( in @ Y0 @ '#sk7' @ mactual )
                  & ( down @ Y0 @ Y2 @ mactual )
                  & ( barrel @ Y0 @ Y1 @ mactual )
                  & ( lonely @ Y2 @ mactual )
                  & ( way @ Y2 @ mactual )
                  & ( street @ Y2 @ mactual )
                  & ( old @ Y1 @ mactual )
                  & ( dirty @ Y1 @ mactual )
                  & ( white @ Y1 @ mactual )
                  & ( car @ Y1 @ mactual )
                  & ( chevy @ Y1 @ mactual )
                  & ( event @ Y0 @ mactual )
                  & ( city @ '#sk7' @ mactual )
                  & ( hollywood @ '#sk7' @ mactual ) ) ) ) )
    | ~ '#form6' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl52,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( in @ '#sk8' @ '#sk7' @ mactual )
              & ( down @ '#sk8' @ Y1 @ mactual )
              & ( barrel @ '#sk8' @ Y0 @ mactual )
              & ( lonely @ Y1 @ mactual )
              & ( way @ Y1 @ mactual )
              & ( street @ Y1 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( event @ '#sk8' @ mactual )
              & ( city @ '#sk7' @ mactual )
              & ( hollywood @ '#sk7' @ mactual ) ) ) )
    | ~ '#form6' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl54,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( in @ '#sk8' @ '#sk7' @ mactual )
          & ( down @ '#sk8' @ Y0 @ mactual )
          & ( barrel @ '#sk8' @ '#sk9' @ mactual )
          & ( lonely @ Y0 @ mactual )
          & ( way @ Y0 @ mactual )
          & ( street @ Y0 @ mactual )
          & ( old @ '#sk9' @ mactual )
          & ( dirty @ '#sk9' @ mactual )
          & ( white @ '#sk9' @ mactual )
          & ( car @ '#sk9' @ mactual )
          & ( chevy @ '#sk9' @ mactual )
          & ( event @ '#sk8' @ mactual )
          & ( city @ '#sk7' @ mactual )
          & ( hollywood @ '#sk7' @ mactual ) ) )
    | ~ '#form6' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl56,plain,
    ( ( ( in @ '#sk8' @ '#sk7' @ mactual )
      & ( down @ '#sk8' @ '#sk10' @ mactual )
      & ( barrel @ '#sk8' @ '#sk9' @ mactual )
      & ( lonely @ '#sk10' @ mactual )
      & ( way @ '#sk10' @ mactual )
      & ( street @ '#sk10' @ mactual )
      & ( old @ '#sk9' @ mactual )
      & ( dirty @ '#sk9' @ mactual )
      & ( white @ '#sk9' @ mactual )
      & ( car @ '#sk9' @ mactual )
      & ( chevy @ '#sk9' @ mactual )
      & ( event @ '#sk8' @ mactual )
      & ( city @ '#sk7' @ mactual )
      & ( hollywood @ '#sk7' @ mactual ) )
    | ~ '#form6' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl59,plain,
    ( ( down @ '#sk8' @ '#sk10' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl26,plain,
    ( ( car @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_001,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl43,plain,
    ( '#form6'
    | ( car @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl26,zip_derived_cl35]) ).

thf(zip_derived_cl30,plain,
    ( ( street @ '#sk4' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_002,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl47,plain,
    ( '#form6'
    | ( street @ '#sk4' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl30,zip_derived_cl35]) ).

thf(zip_derived_cl31,plain,
    ( ( event @ '#sk3' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_003,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl48,plain,
    ( '#form6'
    | ( event @ '#sk3' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl31,zip_derived_cl35]) ).

thf(zip_derived_cl28,plain,
    ( ( lonely @ '#sk4' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_004,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl45,plain,
    ( '#form6'
    | ( lonely @ '#sk4' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl28,zip_derived_cl35]) ).

thf(zip_derived_cl21,plain,
    ( ( down @ '#sk3' @ '#sk4' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_005,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl38,plain,
    ( '#form6'
    | ( down @ '#sk3' @ '#sk4' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl21,zip_derived_cl35]) ).

thf(zip_derived_cl20_006,plain,
    ( ( in @ '#sk3' @ '#sk2' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_007,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl37,plain,
    ( '#form6'
    | ( in @ '#sk3' @ '#sk2' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl20,zip_derived_cl35]) ).

thf(zip_derived_cl22,plain,
    ( ( barrel @ '#sk3' @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_008,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl39,plain,
    ( '#form6'
    | ( barrel @ '#sk3' @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl22,zip_derived_cl35]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i] :
                    ( ??
                    @ ^ [Y3: $i] :
                        ( ( in @ Y1 @ Y0 @ mactual )
                        & ( down @ Y1 @ Y3 @ mactual )
                        & ( barrel @ Y1 @ Y2 @ mactual )
                        & ( lonely @ Y3 @ mactual )
                        & ( way @ Y3 @ mactual )
                        & ( street @ Y3 @ mactual )
                        & ( old @ Y2 @ mactual )
                        & ( dirty @ Y2 @ mactual )
                        & ( white @ Y2 @ mactual )
                        & ( car @ Y2 @ mactual )
                        & ( chevy @ Y2 @ mactual )
                        & ( event @ Y1 @ mactual )
                        & ( city @ Y0 @ mactual )
                        & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y3 @ mactual )
                          & ( barrel @ Y1 @ Y2 @ mactual )
                          & ( lonely @ Y3 @ mactual )
                          & ( way @ Y3 @ mactual )
                          & ( street @ Y3 @ mactual )
                          & ( old @ Y2 @ mactual )
                          & ( dirty @ Y2 @ mactual )
                          & ( white @ Y2 @ mactual )
                          & ( car @ Y2 @ mactual )
                          & ( chevy @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i] :
                    ( ??
                    @ ^ [Y3: $i] :
                        ( ( in @ Y1 @ Y0 @ mactual )
                        & ( down @ Y1 @ Y3 @ mactual )
                        & ( barrel @ Y1 @ Y2 @ mactual )
                        & ( lonely @ Y3 @ mactual )
                        & ( way @ Y3 @ mactual )
                        & ( street @ Y3 @ mactual )
                        & ( old @ Y2 @ mactual )
                        & ( dirty @ Y2 @ mactual )
                        & ( white @ Y2 @ mactual )
                        & ( car @ Y2 @ mactual )
                        & ( chevy @ Y2 @ mactual )
                        & ( event @ Y1 @ mactual )
                        & ( city @ Y0 @ mactual )
                        & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( $true
       => ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i] :
                    ( ??
                    @ ^ [Y3: $i] :
                        ( ( in @ Y1 @ Y0 @ mactual )
                        & ( down @ Y1 @ Y3 @ mactual )
                        & ( barrel @ Y1 @ Y2 @ mactual )
                        & ( lonely @ Y3 @ mactual )
                        & ( way @ Y3 @ mactual )
                        & ( street @ Y3 @ mactual )
                        & ( old @ Y2 @ mactual )
                        & ( dirty @ Y2 @ mactual )
                        & ( white @ Y2 @ mactual )
                        & ( car @ Y2 @ mactual )
                        & ( chevy @ Y2 @ mactual )
                        & ( event @ Y1 @ mactual )
                        & ( city @ Y0 @ mactual )
                        & ( hollywood @ Y0 @ mactual ) ) ) ) ) )
    | ~ ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i] :
                    ( ??
                    @ ^ [Y3: $i] :
                        ( ( in @ Y1 @ Y0 @ mactual )
                        & ( down @ Y1 @ Y2 @ mactual )
                        & ( barrel @ Y1 @ Y3 @ mactual )
                        & ( old @ Y3 @ mactual )
                        & ( dirty @ Y3 @ mactual )
                        & ( white @ Y3 @ mactual )
                        & ( car @ Y3 @ mactual )
                        & ( chevy @ Y3 @ mactual )
                        & ( lonely @ Y2 @ mactual )
                        & ( way @ Y2 @ mactual )
                        & ( street @ Y2 @ mactual )
                        & ( event @ Y1 @ mactual )
                        & ( city @ Y0 @ mactual )
                        & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ( in @ Y0 @ X2 @ mactual )
                      & ( down @ Y0 @ Y2 @ mactual )
                      & ( barrel @ Y0 @ Y1 @ mactual )
                      & ( lonely @ Y2 @ mactual )
                      & ( way @ Y2 @ mactual )
                      & ( street @ Y2 @ mactual )
                      & ( old @ Y1 @ mactual )
                      & ( dirty @ Y1 @ mactual )
                      & ( white @ Y1 @ mactual )
                      & ( car @ Y1 @ mactual )
                      & ( chevy @ Y1 @ mactual )
                      & ( event @ Y0 @ mactual )
                      & ( city @ X2 @ mactual )
                      & ( hollywood @ X2 @ mactual ) ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ( in @ X4 @ X2 @ mactual )
                  & ( down @ X4 @ Y1 @ mactual )
                  & ( barrel @ X4 @ Y0 @ mactual )
                  & ( lonely @ Y1 @ mactual )
                  & ( way @ Y1 @ mactual )
                  & ( street @ Y1 @ mactual )
                  & ( old @ Y0 @ mactual )
                  & ( dirty @ Y0 @ mactual )
                  & ( white @ Y0 @ mactual )
                  & ( car @ Y0 @ mactual )
                  & ( chevy @ Y0 @ mactual )
                  & ( event @ X4 @ mactual )
                  & ( city @ X2 @ mactual )
                  & ( hollywood @ X2 @ mactual ) ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ( in @ X4 @ X2 @ mactual )
              & ( down @ X4 @ Y0 @ mactual )
              & ( barrel @ X4 @ X6 @ mactual )
              & ( lonely @ Y0 @ mactual )
              & ( way @ Y0 @ mactual )
              & ( street @ Y0 @ mactual )
              & ( old @ X6 @ mactual )
              & ( dirty @ X6 @ mactual )
              & ( white @ X6 @ mactual )
              & ( car @ X6 @ mactual )
              & ( chevy @ X6 @ mactual )
              & ( event @ X4 @ mactual )
              & ( city @ X2 @ mactual )
              & ( hollywood @ X2 @ mactual ) ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( in @ X4 @ X2 @ mactual )
          & ( down @ X4 @ X8 @ mactual )
          & ( barrel @ X4 @ X6 @ mactual )
          & ( lonely @ X8 @ mactual )
          & ( way @ X8 @ mactual )
          & ( street @ X8 @ mactual )
          & ( old @ X6 @ mactual )
          & ( dirty @ X6 @ mactual )
          & ( white @ X6 @ mactual )
          & ( car @ X6 @ mactual )
          & ( chevy @ X6 @ mactual )
          & ( event @ X4 @ mactual )
          & ( city @ X2 @ mactual )
          & ( hollywood @ X2 @ mactual ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( in @ X4 @ X2 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ??
                      @ ^ [Y3: $i] :
                          ( ( in @ Y1 @ Y0 @ mactual )
                          & ( down @ Y1 @ Y2 @ mactual )
                          & ( barrel @ Y1 @ Y3 @ mactual )
                          & ( old @ Y3 @ mactual )
                          & ( dirty @ Y3 @ mactual )
                          & ( white @ Y3 @ mactual )
                          & ( car @ Y3 @ mactual )
                          & ( chevy @ Y3 @ mactual )
                          & ( lonely @ Y2 @ mactual )
                          & ( way @ Y2 @ mactual )
                          & ( street @ Y2 @ mactual )
                          & ( event @ Y1 @ mactual )
                          & ( city @ Y0 @ mactual )
                          & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl51,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i] :
                      ( ( in @ Y0 @ X10 @ mactual )
                      & ( down @ Y0 @ Y1 @ mactual )
                      & ( barrel @ Y0 @ Y2 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( lonely @ Y1 @ mactual )
                      & ( way @ Y1 @ mactual )
                      & ( street @ Y1 @ mactual )
                      & ( event @ Y0 @ mactual )
                      & ( city @ X10 @ mactual )
                      & ( hollywood @ X10 @ mactual ) ) ) ) )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( in @ X4 @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl53,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i] :
                  ( ( in @ X12 @ X10 @ mactual )
                  & ( down @ X12 @ Y0 @ mactual )
                  & ( barrel @ X12 @ Y1 @ mactual )
                  & ( old @ Y1 @ mactual )
                  & ( dirty @ Y1 @ mactual )
                  & ( white @ Y1 @ mactual )
                  & ( car @ Y1 @ mactual )
                  & ( chevy @ Y1 @ mactual )
                  & ( lonely @ Y0 @ mactual )
                  & ( way @ Y0 @ mactual )
                  & ( street @ Y0 @ mactual )
                  & ( event @ X12 @ mactual )
                  & ( city @ X10 @ mactual )
                  & ( hollywood @ X10 @ mactual ) ) ) )
      | ~ ( in @ X4 @ X2 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( hollywood @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl55,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ??
          @ ^ [Y0: $i] :
              ( ( in @ X12 @ X10 @ mactual )
              & ( down @ X12 @ X14 @ mactual )
              & ( barrel @ X12 @ Y0 @ mactual )
              & ( old @ Y0 @ mactual )
              & ( dirty @ Y0 @ mactual )
              & ( white @ Y0 @ mactual )
              & ( car @ Y0 @ mactual )
              & ( chevy @ Y0 @ mactual )
              & ( lonely @ X14 @ mactual )
              & ( way @ X14 @ mactual )
              & ( street @ X14 @ mactual )
              & ( event @ X12 @ mactual )
              & ( city @ X10 @ mactual )
              & ( hollywood @ X10 @ mactual ) ) )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( in @ X4 @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl57,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( in @ X12 @ X10 @ mactual )
          & ( down @ X12 @ X14 @ mactual )
          & ( barrel @ X12 @ X16 @ mactual )
          & ( old @ X16 @ mactual )
          & ( dirty @ X16 @ mactual )
          & ( white @ X16 @ mactual )
          & ( car @ X16 @ mactual )
          & ( chevy @ X16 @ mactual )
          & ( lonely @ X14 @ mactual )
          & ( way @ X14 @ mactual )
          & ( street @ X14 @ mactual )
          & ( event @ X12 @ mactual )
          & ( city @ X10 @ mactual )
          & ( hollywood @ X10 @ mactual ) )
      | ~ ( in @ X4 @ X2 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( hollywood @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl72,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( in @ X12 @ X10 @ mactual )
      | ~ ( down @ X12 @ X14 @ mactual )
      | ~ ( barrel @ X12 @ X16 @ mactual )
      | ~ ( old @ X16 @ mactual )
      | ~ ( dirty @ X16 @ mactual )
      | ~ ( white @ X16 @ mactual )
      | ~ ( car @ X16 @ mactual )
      | ~ ( chevy @ X16 @ mactual )
      | ~ ( lonely @ X14 @ mactual )
      | ~ ( way @ X14 @ mactual )
      | ~ ( street @ X14 @ mactual )
      | ~ ( event @ X12 @ mactual )
      | ~ ( city @ X10 @ mactual )
      | ~ ( hollywood @ X10 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X4 @ mactual )
      | ~ ( chevy @ X6 @ mactual )
      | ~ ( car @ X6 @ mactual )
      | ~ ( white @ X6 @ mactual )
      | ~ ( dirty @ X6 @ mactual )
      | ~ ( old @ X6 @ mactual )
      | ~ ( street @ X8 @ mactual )
      | ~ ( way @ X8 @ mactual )
      | ~ ( lonely @ X8 @ mactual )
      | ~ ( barrel @ X4 @ X6 @ mactual )
      | ~ ( down @ X4 @ X8 @ mactual )
      | ~ ( in @ X4 @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( in @ X1 @ X0 @ mactual )
      | ~ ( down @ X1 @ X2 @ mactual )
      | ~ ( barrel @ X1 @ X3 @ mactual )
      | ~ ( lonely @ X2 @ mactual )
      | ~ ( way @ X2 @ mactual )
      | ~ ( street @ X2 @ mactual )
      | ~ ( old @ X3 @ mactual )
      | ~ ( dirty @ X3 @ mactual )
      | ~ ( white @ X3 @ mactual )
      | ~ ( car @ X3 @ mactual )
      | ~ ( chevy @ X3 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( street @ X4 @ mactual )
      | ~ ( way @ X4 @ mactual )
      | ~ ( lonely @ X4 @ mactual )
      | ~ ( chevy @ X5 @ mactual )
      | ~ ( car @ X5 @ mactual )
      | ~ ( white @ X5 @ mactual )
      | ~ ( dirty @ X5 @ mactual )
      | ~ ( old @ X5 @ mactual )
      | ~ ( barrel @ X1 @ X5 @ mactual )
      | ~ ( down @ X1 @ X4 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( down @ X1 @ X4 @ mactual )
      | ~ ( barrel @ X1 @ X5 @ mactual )
      | ~ ( old @ X5 @ mactual )
      | ~ ( dirty @ X5 @ mactual )
      | ~ ( white @ X5 @ mactual )
      | ~ ( car @ X5 @ mactual )
      | ~ ( chevy @ X5 @ mactual )
      | ~ ( lonely @ X4 @ mactual )
      | ~ ( way @ X4 @ mactual )
      | ~ ( street @ X4 @ mactual )
      | ~ ( hollywood @ X0 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( chevy @ X3 @ mactual )
      | ~ ( car @ X3 @ mactual )
      | ~ ( white @ X3 @ mactual )
      | ~ ( dirty @ X3 @ mactual )
      | ~ ( old @ X3 @ mactual )
      | ~ ( street @ X2 @ mactual )
      | ~ ( way @ X2 @ mactual )
      | ~ ( lonely @ X2 @ mactual )
      | ~ ( barrel @ X1 @ X3 @ mactual )
      | ~ ( down @ X1 @ X2 @ mactual )
      | ~ ( in @ X1 @ X0 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X1 @ X2 @ mactual )
      | ~ ( down @ X1 @ X0 @ mactual )
      | ~ ( barrel @ X1 @ X3 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X3 @ mactual )
      | ~ ( dirty @ X3 @ mactual )
      | ~ ( white @ X3 @ mactual )
      | ~ ( car @ X3 @ mactual )
      | ~ ( chevy @ X3 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( chevy @ X4 @ mactual )
      | ~ ( car @ X4 @ mactual )
      | ~ ( white @ X4 @ mactual )
      | ~ ( dirty @ X4 @ mactual )
      | ~ ( old @ X4 @ mactual )
      | ~ ( barrel @ X1 @ X4 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( barrel @ X1 @ X4 @ mactual )
      | ~ ( old @ X4 @ mactual )
      | ~ ( dirty @ X4 @ mactual )
      | ~ ( white @ X4 @ mactual )
      | ~ ( car @ X4 @ mactual )
      | ~ ( chevy @ X4 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( chevy @ X3 @ mactual )
      | ~ ( car @ X3 @ mactual )
      | ~ ( white @ X3 @ mactual )
      | ~ ( dirty @ X3 @ mactual )
      | ~ ( old @ X3 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ X1 @ X3 @ mactual )
      | ~ ( down @ X1 @ X0 @ mactual )
      | ~ ( in @ X1 @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X1 @ X2 @ mactual )
      | ~ ( down @ X1 @ X3 @ mactual )
      | ~ ( barrel @ X1 @ X0 @ mactual )
      | ~ ( lonely @ X3 @ mactual )
      | ~ ( way @ X3 @ mactual )
      | ~ ( street @ X3 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( hollywood @ X2 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( street @ X3 @ mactual )
      | ~ ( way @ X3 @ mactual )
      | ~ ( lonely @ X3 @ mactual )
      | ~ ( barrel @ X1 @ X0 @ mactual )
      | ~ ( down @ X1 @ X3 @ mactual )
      | ~ ( in @ X1 @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i] :
      ( '#form6'
      | ~ ( in @ '#sk3' @ X0 @ mactual )
      | ~ ( down @ '#sk3' @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( old @ '#sk5' @ mactual )
      | ~ ( dirty @ '#sk5' @ mactual )
      | ~ ( white @ '#sk5' @ mactual )
      | ~ ( car @ '#sk5' @ mactual )
      | ~ ( chevy @ '#sk5' @ mactual )
      | ~ ( event @ '#sk3' @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl92]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( '#form6'
      | ~ ( hollywood @ '#sk2' @ mactual )
      | ~ ( city @ '#sk2' @ mactual )
      | ~ ( event @ '#sk3' @ mactual )
      | ~ ( chevy @ '#sk5' @ mactual )
      | ~ ( car @ '#sk5' @ mactual )
      | ~ ( white @ '#sk5' @ mactual )
      | ~ ( dirty @ '#sk5' @ mactual )
      | ~ ( old @ '#sk5' @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( down @ '#sk3' @ X0 @ mactual )
      | '#form6' ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl98]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ~ ( down @ '#sk3' @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ '#sk5' @ mactual )
      | ~ ( dirty @ '#sk5' @ mactual )
      | ~ ( white @ '#sk5' @ mactual )
      | ~ ( car @ '#sk5' @ mactual )
      | ~ ( chevy @ '#sk5' @ mactual )
      | ~ ( event @ '#sk3' @ mactual )
      | ~ ( city @ '#sk2' @ mactual )
      | ~ ( hollywood @ '#sk2' @ mactual )
      | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl106,plain,
    ( '#form6'
    | '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( event @ '#sk3' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( way @ '#sk4' @ mactual )
    | ~ ( lonely @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl103]) ).

thf(zip_derived_cl109,plain,
    ( ~ ( lonely @ '#sk4' @ mactual )
    | ~ ( way @ '#sk4' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( event @ '#sk3' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( hollywood @ '#sk2' @ mactual )
    | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl114,plain,
    ( '#form6'
    | '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( event @ '#sk3' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( way @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl109]) ).

thf(zip_derived_cl117,plain,
    ( ~ ( way @ '#sk4' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( event @ '#sk3' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( hollywood @ '#sk2' @ mactual )
    | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl122,plain,
    ( '#form6'
    | '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( way @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl117]) ).

thf(zip_derived_cl125,plain,
    ( ~ ( way @ '#sk4' @ mactual )
    | ~ ( street @ '#sk4' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( hollywood @ '#sk2' @ mactual )
    | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl130,plain,
    ( '#form6'
    | '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( way @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl125]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( way @ '#sk4' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( car @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( hollywood @ '#sk2' @ mactual )
    | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl138,plain,
    ( '#form6'
    | '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( way @ '#sk4' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl133]) ).

thf(zip_derived_cl141,plain,
    ( ~ ( way @ '#sk4' @ mactual )
    | ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( hollywood @ '#sk2' @ mactual )
    | '#form6' ),
    inference(simplify,[status(thm)],[zip_derived_cl138]) ).

thf(zip_derived_cl29,plain,
    ( ( way @ '#sk4' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_009,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl46,plain,
    ( '#form6'
    | ( way @ '#sk4' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl29,zip_derived_cl35]) ).

thf(zip_derived_cl145,plain,
    ( '#form6'
    | ~ ( hollywood @ '#sk2' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( old @ '#sk5' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl46]) ).

thf(zip_derived_cl33,plain,
    ( ( hollywood @ '#sk2' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_010,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl50,plain,
    ( '#form6'
    | ( hollywood @ '#sk2' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl33,zip_derived_cl35]) ).

thf(zip_derived_cl146,plain,
    ( ~ ( old @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( city @ '#sk2' @ mactual )
    | '#form6' ),
    inference(clc,[status(thm)],[zip_derived_cl145,zip_derived_cl50]) ).

thf(zip_derived_cl23,plain,
    ( ( old @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_011,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl40,plain,
    ( '#form6'
    | ( old @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl23,zip_derived_cl35]) ).

thf(zip_derived_cl147,plain,
    ( '#form6'
    | ~ ( city @ '#sk2' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( dirty @ '#sk5' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl40]) ).

thf(zip_derived_cl32,plain,
    ( ( city @ '#sk2' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_012,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl49,plain,
    ( '#form6'
    | ( city @ '#sk2' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).

thf(zip_derived_cl148,plain,
    ( ~ ( dirty @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual )
    | ~ ( chevy @ '#sk5' @ mactual )
    | '#form6' ),
    inference(clc,[status(thm)],[zip_derived_cl147,zip_derived_cl49]) ).

thf(zip_derived_cl24,plain,
    ( ( dirty @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_013,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl41,plain,
    ( '#form6'
    | ( dirty @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl24,zip_derived_cl35]) ).

thf(zip_derived_cl149,plain,
    ( '#form6'
    | ~ ( chevy @ '#sk5' @ mactual )
    | ~ ( white @ '#sk5' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl148,zip_derived_cl41]) ).

thf(zip_derived_cl27,plain,
    ( ( chevy @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_014,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl44,plain,
    ( '#form6'
    | ( chevy @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl35]) ).

thf(zip_derived_cl150,plain,
    ( ~ ( white @ '#sk5' @ mactual )
    | '#form6' ),
    inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl44]) ).

thf(zip_derived_cl25,plain,
    ( ( white @ '#sk5' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl35_015,plain,
    ( ~ '#form6'
    | ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ??
                  @ ^ [Y3: $i] :
                      ( ( in @ Y1 @ Y0 @ mactual )
                      & ( down @ Y1 @ Y3 @ mactual )
                      & ( barrel @ Y1 @ Y2 @ mactual )
                      & ( lonely @ Y3 @ mactual )
                      & ( way @ Y3 @ mactual )
                      & ( street @ Y3 @ mactual )
                      & ( old @ Y2 @ mactual )
                      & ( dirty @ Y2 @ mactual )
                      & ( white @ Y2 @ mactual )
                      & ( car @ Y2 @ mactual )
                      & ( chevy @ Y2 @ mactual )
                      & ( event @ Y1 @ mactual )
                      & ( city @ Y0 @ mactual )
                      & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl42,plain,
    ( '#form6'
    | ( white @ '#sk5' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl25,zip_derived_cl35]) ).

thf(zip_derived_cl151,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl153,plain,
    down @ '#sk8' @ '#sk10' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl151]) ).

thf(zip_derived_cl58,plain,
    ( ( in @ '#sk8' @ '#sk7' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_016,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl152,plain,
    in @ '#sk8' @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl151]) ).

thf(zip_derived_cl60,plain,
    ( ( barrel @ '#sk8' @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_017,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl154,plain,
    barrel @ '#sk8' @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl151]) ).

thf(zip_derived_cl92_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( hollywood @ X2 @ mactual )
      | ~ ( city @ X2 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( street @ X3 @ mactual )
      | ~ ( way @ X3 @ mactual )
      | ~ ( lonely @ X3 @ mactual )
      | ~ ( barrel @ X1 @ X0 @ mactual )
      | ~ ( down @ X1 @ X3 @ mactual )
      | ~ ( in @ X1 @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ '#sk8' @ X0 @ mactual )
      | ~ ( down @ '#sk8' @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( old @ '#sk9' @ mactual )
      | ~ ( dirty @ '#sk9' @ mactual )
      | ~ ( white @ '#sk9' @ mactual )
      | ~ ( car @ '#sk9' @ mactual )
      | ~ ( chevy @ '#sk9' @ mactual )
      | ~ ( event @ '#sk8' @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl92]) ).

thf(zip_derived_cl64,plain,
    ( ( old @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_019,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl158,plain,
    old @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl151]) ).

thf(zip_derived_cl65,plain,
    ( ( dirty @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_020,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl159,plain,
    dirty @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl151]) ).

thf(zip_derived_cl66,plain,
    ( ( white @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_021,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl160,plain,
    white @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl151]) ).

thf(zip_derived_cl67,plain,
    ( ( car @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_022,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl161,plain,
    car @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl151]) ).

thf(zip_derived_cl68,plain,
    ( ( chevy @ '#sk9' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_023,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl162,plain,
    chevy @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl151]) ).

thf(zip_derived_cl69,plain,
    ( ( event @ '#sk8' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_024,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl163,plain,
    event @ '#sk8' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl151]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ '#sk8' @ X0 @ mactual )
      | ~ ( down @ '#sk8' @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual ) ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl158,zip_derived_cl159,zip_derived_cl160,zip_derived_cl161,zip_derived_cl162,zip_derived_cl163]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ~ ( hollywood @ '#sk7' @ mactual )
      | ~ ( city @ '#sk7' @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( down @ '#sk8' @ X0 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl168]) ).

thf(zip_derived_cl71,plain,
    ( ( hollywood @ '#sk7' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_025,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl165,plain,
    hollywood @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl151]) ).

thf(zip_derived_cl70,plain,
    ( ( city @ '#sk7' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_026,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl164,plain,
    city @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl151]) ).

thf(zip_derived_cl178,plain,
    ! [X0: $i] :
      ( ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( down @ '#sk8' @ X0 @ mactual ) ),
    inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl165,zip_derived_cl164]) ).

thf(zip_derived_cl181,plain,
    ( ~ ( lonely @ '#sk10' @ mactual )
    | ~ ( way @ '#sk10' @ mactual )
    | ~ ( street @ '#sk10' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl178]) ).

thf(zip_derived_cl61,plain,
    ( ( lonely @ '#sk10' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_027,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl155,plain,
    lonely @ '#sk10' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl151]) ).

thf(zip_derived_cl62,plain,
    ( ( way @ '#sk10' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_028,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl156,plain,
    way @ '#sk10' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl151]) ).

thf(zip_derived_cl63,plain,
    ( ( street @ '#sk10' @ mactual )
    | ~ '#form6' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl56]) ).

thf(zip_derived_cl151_029,plain,
    '#form6',
    inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl157,plain,
    street @ '#sk10' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl151]) ).

thf(zip_derived_cl184,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl155,zip_derived_cl156,zip_derived_cl157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP001^3 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.M8WOucC0ek true
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 12:21:04 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.19/0.67  % Total configuration time : 828
% 0.19/0.67  % Estimated wc time : 1656
% 0.19/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.70/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.16/1.00  % Solved by lams/35_full_unif4.sh.
% 1.16/1.00  % done 63 iterations in 0.166s
% 1.16/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.16/1.00  % SZS output start Refutation
% See solution above
% 1.16/1.01  
% 1.16/1.01  
% 1.16/1.01  % Terminating...
% 1.16/1.07  % Runner terminated.
% 2.24/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------