TSTP Solution File: NLP001^17 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NLP001^17 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b3nW0dRCU7 true

% Computer : n027.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 10:17:51 EDT 2023

% Result   : Theorem 1.45s 1.07s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  202 (  49 unt;  30 typ;   0 def)
%            Number of atoms       : 2548 (  12 equ;   1 cnn)
%            Maximal formula atoms :  128 (  14 avg)
%            Number of connectives : 7910 ( 764   ~; 768   |;1252   &;4904   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (  14 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   70 (  70   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  29 usr;  14 con; 0-3 aty)
%                                         (   0  !!; 207  ??;   0 @@+;   0 @@-)
%            Number of variables   :  421 ( 250   ^; 136   !;  35   ?; 421   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(mactual_type,type,
    mactual: mworld ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(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] :
          ( ( eiw_di @ X4 @ mactual )
          & ? [X6: $i] :
              ( ( eiw_di @ X6 @ mactual )
              & ? [X8: $i] :
                  ( ( eiw_di @ X8 @ mactual )
                  & ? [X10: $i] :
                      ( ( eiw_di @ X10 @ mactual )
                      & ( 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] :
          ( ( eiw_di @ X12 @ mactual )
          & ? [X14: $i] :
              ( ( eiw_di @ X14 @ mactual )
              & ? [X16: $i] :
                  ( ( eiw_di @ X16 @ mactual )
                  & ? [X18: $i] :
                      ( ( eiw_di @ X18 @ mactual )
                      & ( 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] :
          ( ( eiw_di @ X20 @ mactual )
          & ? [X22: $i] :
              ( ( eiw_di @ X22 @ mactual )
              & ? [X24: $i] :
                  ( ( eiw_di @ X24 @ mactual )
                  & ? [X26: $i] :
                      ( ( eiw_di @ X26 @ mactual )
                      & ( 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] :
          ( ( eiw_di @ X28 @ mactual )
          & ? [X30: $i] :
              ( ( eiw_di @ X30 @ mactual )
              & ? [X32: $i] :
                  ( ( eiw_di @ X32 @ mactual )
                  & ? [X34: $i] :
                      ( ( eiw_di @ X34 @ mactual )
                      & ( 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] :
            ( ( eiw_di @ X4 @ mactual )
            & ? [X6: $i] :
                ( ( eiw_di @ X6 @ mactual )
                & ? [X8: $i] :
                    ( ( eiw_di @ X8 @ mactual )
                    & ? [X10: $i] :
                        ( ( eiw_di @ X10 @ mactual )
                        & ( 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] :
            ( ( eiw_di @ X12 @ mactual )
            & ? [X14: $i] :
                ( ( eiw_di @ X14 @ mactual )
                & ? [X16: $i] :
                    ( ( eiw_di @ X16 @ mactual )
                    & ? [X18: $i] :
                        ( ( eiw_di @ X18 @ mactual )
                        & ( 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] :
            ( ( eiw_di @ X20 @ mactual )
            & ? [X22: $i] :
                ( ( eiw_di @ X22 @ mactual )
                & ? [X24: $i] :
                    ( ( eiw_di @ X24 @ mactual )
                    & ? [X26: $i] :
                        ( ( eiw_di @ X26 @ mactual )
                        & ( 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] :
            ( ( eiw_di @ X28 @ mactual )
            & ? [X30: $i] :
                ( ( eiw_di @ X30 @ mactual )
                & ? [X32: $i] :
                    ( ( eiw_di @ X32 @ mactual )
                    & ? [X34: $i] :
                        ( ( eiw_di @ X34 @ mactual )
                        & ( 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_cl0,plain,
    ~ ( ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) )
      & ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) )
    | ~ ( ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ 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_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) )
       => $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( in @ Y1 @ Y0 @ mactual )
                            & ( down @ Y1 @ Y3 @ mactual )
                            & ( barrel @ Y1 @ Y2 @ mactual )
                            & ( lonely @ Y3 @ mactual )
                            & ( way @ Y3 @ mactual )
                            & ( street @ Y3 @ mactual )
                            & ( old @ Y2 @ mactual )
                            & ( dirty @ Y2 @ mactual )
                            & ( white @ Y2 @ mactual )
                            & ( car @ Y2 @ mactual )
                            & ( chevy @ Y2 @ mactual )
                            & ( event @ Y1 @ mactual )
                            & ( city @ Y0 @ mactual )
                            & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( ( eiw_di @ '#sk1' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y0 @ '#sk1' @ 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 @ '#sk1' @ mactual )
                        & ( hollywood @ '#sk1' @ mactual ) ) ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl6]) ).

thf(zip_derived_cl11,plain,
    ( ( eiw_di @ '#sk1' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl7]) ).

thf(zip_derived_cl14,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl15,plain,
    ( ( ( eiw_di @ '#sk3' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( in @ Y0 @ '#sk3' @ 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 @ '#sk3' @ mactual )
                        & ( hollywood @ '#sk3' @ mactual ) ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl20,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( in @ Y0 @ '#sk3' @ 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 @ '#sk3' @ mactual )
                      & ( hollywood @ '#sk3' @ mactual ) ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl23,plain,
    ( ( ( eiw_di @ '#sk5' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ '#sk5' @ '#sk3' @ mactual )
                  & ( down @ '#sk5' @ Y1 @ mactual )
                  & ( barrel @ '#sk5' @ 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 @ '#sk5' @ mactual )
                  & ( city @ '#sk3' @ mactual )
                  & ( hollywood @ '#sk3' @ mactual ) ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl28,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( in @ '#sk5' @ '#sk3' @ mactual )
                & ( down @ '#sk5' @ Y1 @ mactual )
                & ( barrel @ '#sk5' @ 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 @ '#sk5' @ mactual )
                & ( city @ '#sk3' @ mactual )
                & ( hollywood @ '#sk3' @ mactual ) ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl31,plain,
    ( ( ( eiw_di @ '#sk7' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ '#sk5' @ '#sk3' @ mactual )
            & ( down @ '#sk5' @ Y0 @ mactual )
            & ( barrel @ '#sk5' @ '#sk7' @ mactual )
            & ( lonely @ Y0 @ mactual )
            & ( way @ Y0 @ mactual )
            & ( street @ Y0 @ mactual )
            & ( old @ '#sk7' @ mactual )
            & ( dirty @ '#sk7' @ mactual )
            & ( white @ '#sk7' @ mactual )
            & ( car @ '#sk7' @ mactual )
            & ( chevy @ '#sk7' @ mactual )
            & ( event @ '#sk5' @ mactual )
            & ( city @ '#sk3' @ mactual )
            & ( hollywood @ '#sk3' @ mactual ) ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl36,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( in @ '#sk5' @ '#sk3' @ mactual )
          & ( down @ '#sk5' @ Y0 @ mactual )
          & ( barrel @ '#sk5' @ '#sk7' @ mactual )
          & ( lonely @ Y0 @ mactual )
          & ( way @ Y0 @ mactual )
          & ( street @ Y0 @ mactual )
          & ( old @ '#sk7' @ mactual )
          & ( dirty @ '#sk7' @ mactual )
          & ( white @ '#sk7' @ mactual )
          & ( car @ '#sk7' @ mactual )
          & ( chevy @ '#sk7' @ mactual )
          & ( event @ '#sk5' @ mactual )
          & ( city @ '#sk3' @ mactual )
          & ( hollywood @ '#sk3' @ mactual ) ) )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ( ( ( eiw_di @ '#sk9' @ mactual )
      & ( in @ '#sk5' @ '#sk3' @ mactual )
      & ( down @ '#sk5' @ '#sk9' @ mactual )
      & ( barrel @ '#sk5' @ '#sk7' @ mactual )
      & ( lonely @ '#sk9' @ mactual )
      & ( way @ '#sk9' @ mactual )
      & ( street @ '#sk9' @ mactual )
      & ( old @ '#sk7' @ mactual )
      & ( dirty @ '#sk7' @ mactual )
      & ( white @ '#sk7' @ mactual )
      & ( car @ '#sk7' @ mactual )
      & ( chevy @ '#sk7' @ mactual )
      & ( event @ '#sk5' @ mactual )
      & ( city @ '#sk3' @ mactual )
      & ( hollywood @ '#sk3' @ mactual ) )
    | ~ '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl58,plain,
    ( ( down @ '#sk5' @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl12,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( in @ Y0 @ '#sk1' @ 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 @ '#sk1' @ mactual )
                      & ( hollywood @ '#sk1' @ mactual ) ) ) ) ) ) )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl7]) ).

thf(zip_derived_cl14_001,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl17,plain,
    ( '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( in @ Y0 @ '#sk1' @ 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 @ '#sk1' @ mactual )
                      & ( hollywood @ '#sk1' @ mactual ) ) ) ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl12,zip_derived_cl14]) ).

thf(zip_derived_cl21,plain,
    ( ( ( eiw_di @ '#sk4' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( in @ '#sk4' @ '#sk1' @ mactual )
                  & ( down @ '#sk4' @ Y0 @ mactual )
                  & ( barrel @ '#sk4' @ 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 @ '#sk4' @ mactual )
                  & ( city @ '#sk1' @ mactual )
                  & ( hollywood @ '#sk1' @ mactual ) ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( in @ '#sk4' @ '#sk1' @ mactual )
                & ( down @ '#sk4' @ Y0 @ mactual )
                & ( barrel @ '#sk4' @ 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 @ '#sk4' @ mactual )
                & ( city @ '#sk1' @ mactual )
                & ( hollywood @ '#sk1' @ mactual ) ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    ( ( ( eiw_di @ '#sk6' @ mactual )
      & ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( in @ '#sk4' @ '#sk1' @ mactual )
            & ( down @ '#sk4' @ '#sk6' @ mactual )
            & ( barrel @ '#sk4' @ Y0 @ mactual )
            & ( old @ Y0 @ mactual )
            & ( dirty @ Y0 @ mactual )
            & ( white @ Y0 @ mactual )
            & ( car @ Y0 @ mactual )
            & ( chevy @ Y0 @ mactual )
            & ( lonely @ '#sk6' @ mactual )
            & ( way @ '#sk6' @ mactual )
            & ( street @ '#sk6' @ mactual )
            & ( event @ '#sk4' @ mactual )
            & ( city @ '#sk1' @ mactual )
            & ( hollywood @ '#sk1' @ mactual ) ) ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl33,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( in @ '#sk4' @ '#sk1' @ mactual )
          & ( down @ '#sk4' @ '#sk6' @ mactual )
          & ( barrel @ '#sk4' @ Y0 @ mactual )
          & ( old @ Y0 @ mactual )
          & ( dirty @ Y0 @ mactual )
          & ( white @ Y0 @ mactual )
          & ( car @ Y0 @ mactual )
          & ( chevy @ Y0 @ mactual )
          & ( lonely @ '#sk6' @ mactual )
          & ( way @ '#sk6' @ mactual )
          & ( street @ '#sk6' @ mactual )
          & ( event @ '#sk4' @ mactual )
          & ( city @ '#sk1' @ mactual )
          & ( hollywood @ '#sk1' @ mactual ) ) )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl37,plain,
    ( ( ( eiw_di @ '#sk8' @ mactual )
      & ( in @ '#sk4' @ '#sk1' @ mactual )
      & ( down @ '#sk4' @ '#sk6' @ mactual )
      & ( barrel @ '#sk4' @ '#sk8' @ mactual )
      & ( old @ '#sk8' @ mactual )
      & ( dirty @ '#sk8' @ mactual )
      & ( white @ '#sk8' @ mactual )
      & ( car @ '#sk8' @ mactual )
      & ( chevy @ '#sk8' @ mactual )
      & ( lonely @ '#sk6' @ mactual )
      & ( way @ '#sk6' @ mactual )
      & ( street @ '#sk6' @ mactual )
      & ( event @ '#sk4' @ mactual )
      & ( city @ '#sk1' @ mactual )
      & ( hollywood @ '#sk1' @ mactual ) )
    | '#form2' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl47,plain,
    ( ( car @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl51,plain,
    ( ( street @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl49,plain,
    ( ( lonely @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl42,plain,
    ( ( down @ '#sk4' @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl43,plain,
    ( ( barrel @ '#sk4' @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl52,plain,
    ( ( event @ '#sk4' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl53,plain,
    ( ( city @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl54,plain,
    ( ( hollywood @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

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

thf(zip_derived_cl11_002,plain,
    ( ( eiw_di @ '#sk1' @ mactual )
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl7]) ).

thf(zip_derived_cl14_003,plain,
    ( ~ '#form2'
    | ( ??
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ mactual )
          & ( ??
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ mactual )
                & ( ??
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ mactual )
                      & ( ??
                        @ ^ [Y3: $i] :
                            ( ( eiw_di @ Y3 @ mactual )
                            & ( 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_cl16,plain,
    ( '#form2'
    | ( eiw_di @ '#sk1' @ mactual ) ),
    inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl14]) ).

thf(zip_derived_cl41,plain,
    ( ( in @ '#sk4' @ '#sk1' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl3,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y3 @ mactual )
                                & ( barrel @ Y1 @ Y2 @ mactual )
                                & ( lonely @ Y3 @ mactual )
                                & ( way @ Y3 @ mactual )
                                & ( street @ Y3 @ mactual )
                                & ( old @ Y2 @ mactual )
                                & ( dirty @ Y2 @ mactual )
                                & ( white @ Y2 @ mactual )
                                & ( car @ Y2 @ mactual )
                                & ( chevy @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) )
       => ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ 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_cl1]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ mactual )
            & ( ??
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ mactual )
                  & ( ??
                    @ ^ [Y2: $i] :
                        ( ( eiw_di @ Y2 @ mactual )
                        & ( ??
                          @ ^ [Y3: $i] :
                              ( ( eiw_di @ Y3 @ mactual )
                              & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

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

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( ( eiw_di @ X2 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( eiw_di @ X4 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( 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 ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( 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_cl18]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( eiw_di @ X6 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( 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] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ Y1 @ Y0 @ mactual )
                                & ( down @ Y1 @ Y2 @ mactual )
                                & ( barrel @ Y1 @ Y3 @ mactual )
                                & ( old @ Y3 @ mactual )
                                & ( dirty @ Y3 @ mactual )
                                & ( white @ Y3 @ mactual )
                                & ( car @ Y3 @ mactual )
                                & ( chevy @ Y3 @ mactual )
                                & ( lonely @ Y2 @ mactual )
                                & ( way @ Y2 @ mactual )
                                & ( street @ Y2 @ mactual )
                                & ( event @ Y1 @ mactual )
                                & ( city @ Y0 @ mactual )
                                & ( hollywood @ Y0 @ mactual ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( eiw_di @ X6 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( 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 ) ) )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( 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_cl26]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( ( eiw_di @ X8 @ 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 ) )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( in @ 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 ) ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( eiw_di @ X8 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( ??
                            @ ^ [Y3: $i] :
                                ( ( eiw_di @ Y3 @ mactual )
                                & ( 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_cl34]) ).

thf(zip_derived_cl55,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( ( eiw_di @ X10 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( ??
                        @ ^ [Y2: $i] :
                            ( ( eiw_di @ Y2 @ mactual )
                            & ( 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 ) ) ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ 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 )
      | ~ ( eiw_di @ X8 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl71,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( eiw_di @ X10 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( ??
                      @ ^ [Y2: $i] :
                          ( ( eiw_di @ Y2 @ mactual )
                          & ( 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 ) ) ) ) ) ) )
      | ~ ( eiw_di @ X8 @ 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 )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).

thf(zip_derived_cl72,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( ( eiw_di @ X12 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( ??
                  @ ^ [Y1: $i] :
                      ( ( eiw_di @ Y1 @ mactual )
                      & ( 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 ) ) ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ 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 )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl73,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
      ( ~ ( eiw_di @ X12 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( ??
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ mactual )
                    & ( 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 ) ) ) ) )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ 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 )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl72]) ).

thf(zip_derived_cl74,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( ( eiw_di @ X14 @ mactual )
          & ( ??
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ mactual )
                & ( 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 ) ) ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ 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 )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl75,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i] :
      ( ~ ( eiw_di @ X14 @ mactual )
      | ~ ( ??
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ mactual )
              & ( 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 ) ) )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ 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 )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl76,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( ( eiw_di @ X16 @ mactual )
          & ( 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 ) )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X6 @ 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 )
      | ~ ( eiw_di @ X8 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X14 @ mactual ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl77,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i,X14: $i,X16: $i] :
      ( ~ ( eiw_di @ X16 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X14 @ mactual )
      | ~ ( eiw_di @ X12 @ mactual )
      | ~ ( eiw_di @ X10 @ mactual )
      | ~ ( eiw_di @ X8 @ 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 )
      | ~ ( eiw_di @ X6 @ mactual )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( hollywood @ X0 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( chevy @ X2 @ mactual )
      | ~ ( car @ X2 @ mactual )
      | ~ ( white @ X2 @ mactual )
      | ~ ( dirty @ X2 @ mactual )
      | ~ ( old @ X2 @ mactual )
      | ~ ( street @ X3 @ mactual )
      | ~ ( way @ X3 @ mactual )
      | ~ ( lonely @ X3 @ mactual )
      | ~ ( barrel @ X1 @ X2 @ mactual )
      | ~ ( down @ X1 @ X3 @ mactual )
      | ~ ( in @ X1 @ X0 @ mactual )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X4 @ 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 )
      | ~ ( eiw_di @ X5 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( eiw_di @ X5 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X4 @ mactual )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( in @ X1 @ X0 @ mactual )
      | ~ ( down @ X1 @ X3 @ mactual )
      | ~ ( barrel @ X1 @ X2 @ mactual )
      | ~ ( lonely @ X3 @ mactual )
      | ~ ( way @ X3 @ mactual )
      | ~ ( street @ X3 @ mactual )
      | ~ ( old @ X2 @ mactual )
      | ~ ( dirty @ X2 @ mactual )
      | ~ ( white @ X2 @ mactual )
      | ~ ( car @ X2 @ mactual )
      | ~ ( chevy @ X2 @ mactual )
      | ~ ( event @ X1 @ mactual )
      | ~ ( city @ X0 @ mactual )
      | ~ ( hollywood @ X0 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X3 @ 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 )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ 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 )
      | ~ ( eiw_di @ X4 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( eiw_di @ X4 @ mactual )
      | ~ ( barrel @ X1 @ X4 @ mactual )
      | ~ ( old @ X4 @ mactual )
      | ~ ( dirty @ X4 @ mactual )
      | ~ ( white @ X4 @ mactual )
      | ~ ( car @ X4 @ mactual )
      | ~ ( chevy @ X4 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( eiw_di @ X2 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X3 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( eiw_di @ X3 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | ~ ( eiw_di @ '#sk1' @ mactual )
      | ~ ( eiw_di @ '#sk4' @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( hollywood @ '#sk1' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( barrel @ '#sk4' @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X1 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl101]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( hollywood @ '#sk1' @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ '#sk4' @ mactual )
      | '#form2' ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl107]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ '#sk4' @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( hollywood @ '#sk1' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl110]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( hollywood @ '#sk1' @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl112]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ X1 @ mactual )
      | ~ ( hollywood @ '#sk1' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl116]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ X1 @ mactual )
      | ~ ( city @ '#sk1' @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl120]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ X1 @ mactual )
      | ~ ( event @ '#sk4' @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i] :
      ( '#form2'
      | '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl124]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ X1 @ mactual )
      | ~ ( chevy @ X1 @ mactual )
      | ~ ( car @ X1 @ mactual )
      | ~ ( white @ X1 @ mactual )
      | ~ ( dirty @ X1 @ mactual )
      | ~ ( old @ X1 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( barrel @ '#sk4' @ X1 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( '#form2'
      | '#form2'
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ '#sk8' @ mactual )
      | ~ ( dirty @ '#sk8' @ mactual )
      | ~ ( white @ '#sk8' @ mactual )
      | ~ ( car @ '#sk8' @ mactual )
      | ~ ( chevy @ '#sk8' @ mactual )
      | ~ ( eiw_di @ '#sk8' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl128]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i] :
      ( ~ ( eiw_di @ '#sk8' @ mactual )
      | ~ ( chevy @ '#sk8' @ mactual )
      | ~ ( car @ '#sk8' @ mactual )
      | ~ ( white @ '#sk8' @ mactual )
      | ~ ( dirty @ '#sk8' @ mactual )
      | ~ ( old @ '#sk8' @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( down @ '#sk4' @ X0 @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl135,plain,
    ( '#form2'
    | '#form2'
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | ~ ( lonely @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( street @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( eiw_di @ '#sk8' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl132]) ).

thf(zip_derived_cl138,plain,
    ( ~ ( eiw_di @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( street @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( lonely @ '#sk6' @ mactual )
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl143,plain,
    ( '#form2'
    | '#form2'
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( street @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( eiw_di @ '#sk8' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl138]) ).

thf(zip_derived_cl146,plain,
    ( ~ ( eiw_di @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( street @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl151,plain,
    ( '#form2'
    | '#form2'
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( eiw_di @ '#sk8' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl146]) ).

thf(zip_derived_cl154,plain,
    ( ~ ( eiw_di @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( car @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl159,plain,
    ( '#form2'
    | '#form2'
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( eiw_di @ '#sk8' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl154]) ).

thf(zip_derived_cl162,plain,
    ( ~ ( eiw_di @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | '#form2' ),
    inference(simplify,[status(thm)],[zip_derived_cl159]) ).

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

thf(zip_derived_cl166,plain,
    ( '#form2'
    | ~ ( eiw_di @ '#sk6' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( chevy @ '#sk8' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl162,zip_derived_cl40]) ).

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

thf(zip_derived_cl167,plain,
    ( ~ ( chevy @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( way @ '#sk6' @ mactual )
    | '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl166,zip_derived_cl32]) ).

thf(zip_derived_cl48,plain,
    ( ( chevy @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl168,plain,
    ( '#form2'
    | ~ ( way @ '#sk6' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( white @ '#sk8' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ( ( way @ '#sk6' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl169,plain,
    ( ~ ( white @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual )
    | ~ ( old @ '#sk8' @ mactual )
    | '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl50]) ).

thf(zip_derived_cl46,plain,
    ( ( white @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl170,plain,
    ( '#form2'
    | ~ ( old @ '#sk8' @ mactual )
    | ~ ( dirty @ '#sk8' @ mactual ) ),
    inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl46]) ).

thf(zip_derived_cl44,plain,
    ( ( old @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl171,plain,
    ( ~ ( dirty @ '#sk8' @ mactual )
    | '#form2' ),
    inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl44]) ).

thf(zip_derived_cl45,plain,
    ( ( dirty @ '#sk8' @ mactual )
    | '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl172,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl178,plain,
    down @ '#sk5' @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl172]) ).

thf(zip_derived_cl59,plain,
    ( ( barrel @ '#sk5' @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_004,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl179,plain,
    barrel @ '#sk5' @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl172]) ).

thf(zip_derived_cl57,plain,
    ( ( in @ '#sk5' @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_005,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl177,plain,
    in @ '#sk5' @ '#sk3' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl172]) ).

thf(zip_derived_cl101_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( eiw_di @ X3 @ mactual )
      | ~ ( 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 )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ '#sk3' @ mactual )
      | ~ ( eiw_di @ '#sk5' @ mactual )
      | ~ ( eiw_di @ X0 @ mactual )
      | ~ ( hollywood @ '#sk3' @ mactual )
      | ~ ( city @ '#sk3' @ mactual )
      | ~ ( event @ '#sk5' @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( barrel @ '#sk5' @ X0 @ mactual )
      | ~ ( down @ '#sk5' @ X1 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl101]) ).

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

thf(zip_derived_cl172_007,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl173,plain,
    eiw_di @ '#sk3' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl172]) ).

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

thf(zip_derived_cl172_008,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl174,plain,
    eiw_di @ '#sk5' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl172]) ).

thf(zip_derived_cl70,plain,
    ( ( hollywood @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_009,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl190,plain,
    hollywood @ '#sk3' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl172]) ).

thf(zip_derived_cl69,plain,
    ( ( city @ '#sk3' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_010,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl189,plain,
    city @ '#sk3' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl172]) ).

thf(zip_derived_cl68,plain,
    ( ( event @ '#sk5' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_011,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl188,plain,
    event @ '#sk5' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl172]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( eiw_di @ X0 @ mactual )
      | ~ ( chevy @ X0 @ mactual )
      | ~ ( car @ X0 @ mactual )
      | ~ ( white @ X0 @ mactual )
      | ~ ( dirty @ X0 @ mactual )
      | ~ ( old @ X0 @ mactual )
      | ~ ( street @ X1 @ mactual )
      | ~ ( way @ X1 @ mactual )
      | ~ ( lonely @ X1 @ mactual )
      | ~ ( barrel @ '#sk5' @ X0 @ mactual )
      | ~ ( down @ '#sk5' @ X1 @ mactual )
      | ~ ( eiw_di @ X1 @ mactual ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl173,zip_derived_cl174,zip_derived_cl190,zip_derived_cl189,zip_derived_cl188]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk5' @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual )
      | ~ ( old @ '#sk7' @ mactual )
      | ~ ( dirty @ '#sk7' @ mactual )
      | ~ ( white @ '#sk7' @ mactual )
      | ~ ( car @ '#sk7' @ mactual )
      | ~ ( chevy @ '#sk7' @ mactual )
      | ~ ( eiw_di @ '#sk7' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl195]) ).

thf(zip_derived_cl63,plain,
    ( ( old @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_012,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl183,plain,
    old @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl172]) ).

thf(zip_derived_cl64,plain,
    ( ( dirty @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_013,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl184,plain,
    dirty @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl172]) ).

thf(zip_derived_cl65,plain,
    ( ( white @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_014,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl185,plain,
    white @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl172]) ).

thf(zip_derived_cl66,plain,
    ( ( car @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_015,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl186,plain,
    car @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl172]) ).

thf(zip_derived_cl67,plain,
    ( ( chevy @ '#sk7' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_016,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl187,plain,
    chevy @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl172]) ).

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

thf(zip_derived_cl172_017,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl175,plain,
    eiw_di @ '#sk7' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl172]) ).

thf(zip_derived_cl209,plain,
    ! [X0: $i] :
      ( ~ ( eiw_di @ X0 @ mactual )
      | ~ ( down @ '#sk5' @ X0 @ mactual )
      | ~ ( lonely @ X0 @ mactual )
      | ~ ( way @ X0 @ mactual )
      | ~ ( street @ X0 @ mactual ) ),
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl183,zip_derived_cl184,zip_derived_cl185,zip_derived_cl186,zip_derived_cl187,zip_derived_cl175]) ).

thf(zip_derived_cl211,plain,
    ( ~ ( street @ '#sk9' @ mactual )
    | ~ ( way @ '#sk9' @ mactual )
    | ~ ( lonely @ '#sk9' @ mactual )
    | ~ ( eiw_di @ '#sk9' @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl209]) ).

thf(zip_derived_cl62,plain,
    ( ( street @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_018,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl182,plain,
    street @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl172]) ).

thf(zip_derived_cl61,plain,
    ( ( way @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_019,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl181,plain,
    way @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl172]) ).

thf(zip_derived_cl60,plain,
    ( ( lonely @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_020,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl180,plain,
    lonely @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl172]) ).

thf(zip_derived_cl56,plain,
    ( ( eiw_di @ '#sk9' @ mactual )
    | ~ '#form2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl172_021,plain,
    '#form2',
    inference(clc,[status(thm)],[zip_derived_cl171,zip_derived_cl45]) ).

thf(zip_derived_cl176,plain,
    eiw_di @ '#sk9' @ mactual,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl172]) ).

thf(zip_derived_cl213,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl182,zip_derived_cl181,zip_derived_cl180,zip_derived_cl176]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NLP001^17 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b3nW0dRCU7 true
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 12:12:47 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.45/1.07  % Solved by lams/20_acsne_simpl.sh.
% 1.45/1.07  % done 85 iterations in 0.234s
% 1.45/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/1.07  % SZS output start Refutation
% See solution above
% 1.74/1.08  
% 1.74/1.08  
% 1.74/1.08  % Terminating...
% 1.75/1.18  % Runner terminated.
% 1.88/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------