TSTP Solution File: LCL945^9 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL945^9 : 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.3dNBwIHOcf true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:02:42 EDT 2023
% Result : Theorem 51.79s 7.31s
% Output : Refutation 51.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 189
% Syntax : Number of formulae : 537 ( 16 unt; 87 typ; 0 def)
% Number of atoms : 9227 ( 15 equ; 0 cnn)
% Maximal formula atoms : 204 ( 20 avg)
% Number of connectives : 26460 (2150 ~;2238 |;1631 &;15727 @)
% ( 0 <=>;2331 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 14 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 140 ( 140 >; 0 *; 0 +; 0 <<)
% Number of symbols : 90 ( 86 usr; 15 con; 0-3 aty)
% (2102 !!; 281 ??; 0 @@+; 0 @@-)
% Number of variables : 3281 (2432 ^; 814 !; 35 ?;3281 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf('#sk46_type',type,
'#sk46': $i > mworld ).
thf('#sk42_type',type,
'#sk42': $i > mworld ).
thf(white_type,type,
white: $i > mworld > $o ).
thf(car_type,type,
car: $i > mworld > $o ).
thf('#sk22_type',type,
'#sk22': $i > $i > mworld ).
thf(lonely_type,type,
lonely: $i > mworld > $o ).
thf(hollywood_type,type,
hollywood: $i > mworld > $o ).
thf('#form55_type',type,
'#form55': $i > $o ).
thf('#sk9_type',type,
'#sk9': $i ).
thf('#form15_type',type,
'#form15': $i > $i > $o ).
thf('#sk40_type',type,
'#sk40': $i > mworld ).
thf('#form31_type',type,
'#form31': $i > $o ).
thf('#form25_type',type,
'#form25': $i > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf('#sk44_type',type,
'#sk44': $i > mworld ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf('#sk34_type',type,
'#sk34': $i > mworld ).
thf('#sk28_type',type,
'#sk28': $i > mworld ).
thf('#sk8_type',type,
'#sk8': $i ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(barrel_type,type,
barrel: $i > $i > mworld > $o ).
thf('#sk20_type',type,
'#sk20': $i > mworld ).
thf('#sk30_type',type,
'#sk30': $i > mworld ).
thf(street_type,type,
street: $i > mworld > $o ).
thf('#form19_type',type,
'#form19': $i > $o ).
thf(dirty_type,type,
dirty: $i > mworld > $o ).
thf('#form33_type',type,
'#form33': $i > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk7_type',type,
'#sk7': $i ).
thf(mactual_type,type,
mactual: mworld ).
thf('#sk48_type',type,
'#sk48': $i > mworld ).
thf('#sk64_type',type,
'#sk64': $i > mworld ).
thf('#sk11_type',type,
'#sk11': $i ).
thf('#sk6_type',type,
'#sk6': $i ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf('#form45_type',type,
'#form45': $i > $o ).
thf('#form21_type',type,
'#form21': $i > $i > $o ).
thf('#sk58_type',type,
'#sk58': $i > mworld ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(event_type,type,
event: $i > mworld > $o ).
thf('#form57_type',type,
'#form57': $i > $o ).
thf('#sk16_type',type,
'#sk16': $i > $i > mworld ).
thf('#sk12_type',type,
'#sk12': $i > $i > mworld ).
thf(old_type,type,
old: $i > mworld > $o ).
thf('#form4_type',type,
'#form4': $o ).
thf('#form35_type',type,
'#form35': $i > $o ).
thf('#form23_type',type,
'#form23': $i > $i > $o ).
thf('#sk56_type',type,
'#sk56': $i > mworld ).
thf('#sk54_type',type,
'#sk54': $i > mworld ).
thf('#form47_type',type,
'#form47': $i > $o ).
thf(way_type,type,
way: $i > mworld > $o ).
thf('#sk38_type',type,
'#sk38': $i > mworld ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf('#form17_type',type,
'#form17': $i > $o ).
thf('#form39_type',type,
'#form39': $i > $o ).
thf('#sk2_type',type,
'#sk2': mworld ).
thf('#sk26_type',type,
'#sk26': $i > mworld ).
thf('#form53_type',type,
'#form53': $i > $o ).
thf('#sk32_type',type,
'#sk32': $i > mworld ).
thf('#form59_type',type,
'#form59': $i > $o ).
thf('#sk18_type',type,
'#sk18': $i > mworld ).
thf('#form27_type',type,
'#form27': $i > $o ).
thf('#form37_type',type,
'#form37': $i > $o ).
thf(chevy_type,type,
chevy: $i > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf('#sk10_type',type,
'#sk10': $i ).
thf(city_type,type,
city: $i > mworld > $o ).
thf('#sk36_type',type,
'#sk36': $i > mworld ).
thf('#form41_type',type,
'#form41': $i > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf('#sk62_type',type,
'#sk62': $i > mworld ).
thf('#form51_type',type,
'#form51': $i > $o ).
thf('#sk52_type',type,
'#sk52': $i > mworld ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf('#sk13_type',type,
'#sk13': $i > $i > mworld ).
thf('#sk50_type',type,
'#sk50': $i > mworld ).
thf('#sk14_type',type,
'#sk14': $i > $i > mworld ).
thf('#form29_type',type,
'#form29': $i > $o ).
thf('#sk1_type',type,
'#sk1': mworld ).
thf('#form61_type',type,
'#form61': $i > $o ).
thf('#form43_type',type,
'#form43': $i > $o ).
thf('#form63_type',type,
'#form63': $i > $o ).
thf(down_type,type,
down: $i > $i > mworld > $o ).
thf('#form49_type',type,
'#form49': $i > $o ).
thf('#sk24_type',type,
'#sk24': $i > $i > mworld ).
thf('#sk60_type',type,
'#sk60': $i > mworld ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).
thf('1',plain,
( mexists_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
? [X4: $i] :
( ( V_1 @ X4 @ V_2 )
& ( eiw_di @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('4',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('5',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('6',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('7',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('8',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('9',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(co1,conjecture,
( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [U: $i] :
( mexists_di
@ ^ [V: $i] :
( mexists_di
@ ^ [W: $i] :
( mexists_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( hollywood @ U ) ) @ ( mand @ ( mbox @ ( city @ U ) ) @ ( mand @ ( mbox @ ( event @ V ) ) @ ( mand @ ( mbox @ ( street @ W ) ) @ ( mand @ ( mbox @ ( way @ W ) ) @ ( mand @ ( mbox @ ( lonely @ W ) ) @ ( mand @ ( mbox @ ( chevy @ X ) ) @ ( mand @ ( mbox @ ( car @ X ) ) @ ( mand @ ( mbox @ ( white @ X ) ) @ ( mand @ ( mbox @ ( dirty @ X ) ) @ ( mand @ ( mbox @ ( old @ X ) ) @ ( mand @ ( mbox @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox @ ( down @ V @ W ) ) @ ( mbox @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y: $i] :
( mexists_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [X1: $i] :
( mexists_di
@ ^ [X2: $i] : ( mand @ ( mbox @ ( hollywood @ Y ) ) @ ( mand @ ( mbox @ ( city @ Y ) ) @ ( mand @ ( mbox @ ( event @ Z ) ) @ ( mand @ ( mbox @ ( chevy @ X1 ) ) @ ( mand @ ( mbox @ ( car @ X1 ) ) @ ( mand @ ( mbox @ ( white @ X1 ) ) @ ( mand @ ( mbox @ ( dirty @ X1 ) ) @ ( mand @ ( mbox @ ( old @ X1 ) ) @ ( mand @ ( mbox @ ( street @ X2 ) ) @ ( mand @ ( mbox @ ( way @ X2 ) ) @ ( mand @ ( mbox @ ( lonely @ X2 ) ) @ ( mand @ ( mbox @ ( barrel @ Z @ X1 ) ) @ ( mand @ ( mbox @ ( down @ Z @ X2 ) ) @ ( mbox @ ( in @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X3: $i] :
( mexists_di
@ ^ [X4: $i] :
( mexists_di
@ ^ [X5: $i] :
( mexists_di
@ ^ [X6: $i] : ( mand @ ( mbox @ ( hollywood @ X3 ) ) @ ( mand @ ( mbox @ ( city @ X3 ) ) @ ( mand @ ( mbox @ ( event @ X4 ) ) @ ( mand @ ( mbox @ ( chevy @ X5 ) ) @ ( mand @ ( mbox @ ( car @ X5 ) ) @ ( mand @ ( mbox @ ( white @ X5 ) ) @ ( mand @ ( mbox @ ( dirty @ X5 ) ) @ ( mand @ ( mbox @ ( old @ X5 ) ) @ ( mand @ ( mbox @ ( street @ X6 ) ) @ ( mand @ ( mbox @ ( way @ X6 ) ) @ ( mand @ ( mbox @ ( lonely @ X6 ) ) @ ( mand @ ( mbox @ ( barrel @ X4 @ X5 ) ) @ ( mand @ ( mbox @ ( down @ X4 @ X6 ) ) @ ( mbox @ ( in @ X4 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X7: $i] :
( mexists_di
@ ^ [X8: $i] :
( mexists_di
@ ^ [X9: $i] :
( mexists_di
@ ^ [X10: $i] : ( mand @ ( mbox @ ( hollywood @ X7 ) ) @ ( mand @ ( mbox @ ( city @ X7 ) ) @ ( mand @ ( mbox @ ( event @ X8 ) ) @ ( mand @ ( mbox @ ( street @ X9 ) ) @ ( mand @ ( mbox @ ( way @ X9 ) ) @ ( mand @ ( mbox @ ( lonely @ X9 ) ) @ ( mand @ ( mbox @ ( chevy @ X10 ) ) @ ( mand @ ( mbox @ ( car @ X10 ) ) @ ( mand @ ( mbox @ ( white @ X10 ) ) @ ( mand @ ( mbox @ ( dirty @ X10 ) ) @ ( mand @ ( mbox @ ( old @ X10 ) ) @ ( mand @ ( mbox @ ( barrel @ X8 @ X10 ) ) @ ( mand @ ( mbox @ ( down @ X8 @ X9 ) ) @ ( mbox @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ? [X6: $i] :
( ( eiw_di @ X6 @ X4 )
& ? [X8: $i] :
( ( eiw_di @ X8 @ X4 )
& ? [X10: $i] :
( ( eiw_di @ X10 @ X4 )
& ? [X12: $i] :
( ( eiw_di @ X12 @ X4 )
& ! [X40: mworld] :
( ( mrel @ X4 @ X40 )
=> ( in @ X8 @ X6 @ X40 ) )
& ! [X38: mworld] :
( ( mrel @ X4 @ X38 )
=> ( down @ X8 @ X10 @ X38 ) )
& ! [X36: mworld] :
( ( mrel @ X4 @ X36 )
=> ( barrel @ X8 @ X12 @ X36 ) )
& ! [X34: mworld] :
( ( mrel @ X4 @ X34 )
=> ( old @ X12 @ X34 ) )
& ! [X32: mworld] :
( ( mrel @ X4 @ X32 )
=> ( dirty @ X12 @ X32 ) )
& ! [X30: mworld] :
( ( mrel @ X4 @ X30 )
=> ( white @ X12 @ X30 ) )
& ! [X28: mworld] :
( ( mrel @ X4 @ X28 )
=> ( car @ X12 @ X28 ) )
& ! [X26: mworld] :
( ( mrel @ X4 @ X26 )
=> ( chevy @ X12 @ X26 ) )
& ! [X24: mworld] :
( ( mrel @ X4 @ X24 )
=> ( lonely @ X10 @ X24 ) )
& ! [X22: mworld] :
( ( mrel @ X4 @ X22 )
=> ( way @ X10 @ X22 ) )
& ! [X20: mworld] :
( ( mrel @ X4 @ X20 )
=> ( street @ X10 @ X20 ) )
& ! [X18: mworld] :
( ( mrel @ X4 @ X18 )
=> ( event @ X8 @ X18 ) )
& ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ( city @ X6 @ X16 ) )
& ! [X14: mworld] :
( ( mrel @ X4 @ X14 )
=> ( hollywood @ X6 @ X14 ) ) ) ) ) )
=> ? [X42: $i] :
( ( eiw_di @ X42 @ X4 )
& ? [X44: $i] :
( ( eiw_di @ X44 @ X4 )
& ? [X46: $i] :
( ( eiw_di @ X46 @ X4 )
& ? [X48: $i] :
( ( eiw_di @ X48 @ X4 )
& ! [X76: mworld] :
( ( mrel @ X4 @ X76 )
=> ( in @ X44 @ X42 @ X76 ) )
& ! [X74: mworld] :
( ( mrel @ X4 @ X74 )
=> ( down @ X44 @ X48 @ X74 ) )
& ! [X72: mworld] :
( ( mrel @ X4 @ X72 )
=> ( barrel @ X44 @ X46 @ X72 ) )
& ! [X70: mworld] :
( ( mrel @ X4 @ X70 )
=> ( lonely @ X48 @ X70 ) )
& ! [X68: mworld] :
( ( mrel @ X4 @ X68 )
=> ( way @ X48 @ X68 ) )
& ! [X66: mworld] :
( ( mrel @ X4 @ X66 )
=> ( street @ X48 @ X66 ) )
& ! [X64: mworld] :
( ( mrel @ X4 @ X64 )
=> ( old @ X46 @ X64 ) )
& ! [X62: mworld] :
( ( mrel @ X4 @ X62 )
=> ( dirty @ X46 @ X62 ) )
& ! [X60: mworld] :
( ( mrel @ X4 @ X60 )
=> ( white @ X46 @ X60 ) )
& ! [X58: mworld] :
( ( mrel @ X4 @ X58 )
=> ( car @ X46 @ X58 ) )
& ! [X56: mworld] :
( ( mrel @ X4 @ X56 )
=> ( chevy @ X46 @ X56 ) )
& ! [X54: mworld] :
( ( mrel @ X4 @ X54 )
=> ( event @ X44 @ X54 ) )
& ! [X52: mworld] :
( ( mrel @ X4 @ X52 )
=> ( city @ X42 @ X52 ) )
& ! [X50: mworld] :
( ( mrel @ X4 @ X50 )
=> ( hollywood @ X42 @ X50 ) ) ) ) ) ) ) )
& ! [X78: mworld] :
( ( mrel @ mactual @ X78 )
=> ( ? [X80: $i] :
( ( eiw_di @ X80 @ X78 )
& ? [X82: $i] :
( ( eiw_di @ X82 @ X78 )
& ? [X84: $i] :
( ( eiw_di @ X84 @ X78 )
& ? [X86: $i] :
( ( eiw_di @ X86 @ X78 )
& ! [X114: mworld] :
( ( mrel @ X78 @ X114 )
=> ( in @ X82 @ X80 @ X114 ) )
& ! [X112: mworld] :
( ( mrel @ X78 @ X112 )
=> ( down @ X82 @ X86 @ X112 ) )
& ! [X110: mworld] :
( ( mrel @ X78 @ X110 )
=> ( barrel @ X82 @ X84 @ X110 ) )
& ! [X108: mworld] :
( ( mrel @ X78 @ X108 )
=> ( lonely @ X86 @ X108 ) )
& ! [X106: mworld] :
( ( mrel @ X78 @ X106 )
=> ( way @ X86 @ X106 ) )
& ! [X104: mworld] :
( ( mrel @ X78 @ X104 )
=> ( street @ X86 @ X104 ) )
& ! [X102: mworld] :
( ( mrel @ X78 @ X102 )
=> ( old @ X84 @ X102 ) )
& ! [X100: mworld] :
( ( mrel @ X78 @ X100 )
=> ( dirty @ X84 @ X100 ) )
& ! [X98: mworld] :
( ( mrel @ X78 @ X98 )
=> ( white @ X84 @ X98 ) )
& ! [X96: mworld] :
( ( mrel @ X78 @ X96 )
=> ( car @ X84 @ X96 ) )
& ! [X94: mworld] :
( ( mrel @ X78 @ X94 )
=> ( chevy @ X84 @ X94 ) )
& ! [X92: mworld] :
( ( mrel @ X78 @ X92 )
=> ( event @ X82 @ X92 ) )
& ! [X90: mworld] :
( ( mrel @ X78 @ X90 )
=> ( city @ X80 @ X90 ) )
& ! [X88: mworld] :
( ( mrel @ X78 @ X88 )
=> ( hollywood @ X80 @ X88 ) ) ) ) ) )
=> ? [X116: $i] :
( ( eiw_di @ X116 @ X78 )
& ? [X118: $i] :
( ( eiw_di @ X118 @ X78 )
& ? [X120: $i] :
( ( eiw_di @ X120 @ X78 )
& ? [X122: $i] :
( ( eiw_di @ X122 @ X78 )
& ! [X150: mworld] :
( ( mrel @ X78 @ X150 )
=> ( in @ X118 @ X116 @ X150 ) )
& ! [X148: mworld] :
( ( mrel @ X78 @ X148 )
=> ( down @ X118 @ X120 @ X148 ) )
& ! [X146: mworld] :
( ( mrel @ X78 @ X146 )
=> ( barrel @ X118 @ X122 @ X146 ) )
& ! [X144: mworld] :
( ( mrel @ X78 @ X144 )
=> ( old @ X122 @ X144 ) )
& ! [X142: mworld] :
( ( mrel @ X78 @ X142 )
=> ( dirty @ X122 @ X142 ) )
& ! [X140: mworld] :
( ( mrel @ X78 @ X140 )
=> ( white @ X122 @ X140 ) )
& ! [X138: mworld] :
( ( mrel @ X78 @ X138 )
=> ( car @ X122 @ X138 ) )
& ! [X136: mworld] :
( ( mrel @ X78 @ X136 )
=> ( chevy @ X122 @ X136 ) )
& ! [X134: mworld] :
( ( mrel @ X78 @ X134 )
=> ( lonely @ X120 @ X134 ) )
& ! [X132: mworld] :
( ( mrel @ X78 @ X132 )
=> ( way @ X120 @ X132 ) )
& ! [X130: mworld] :
( ( mrel @ X78 @ X130 )
=> ( street @ X120 @ X130 ) )
& ! [X128: mworld] :
( ( mrel @ X78 @ X128 )
=> ( event @ X118 @ X128 ) )
& ! [X126: mworld] :
( ( mrel @ X78 @ X126 )
=> ( city @ X116 @ X126 ) )
& ! [X124: mworld] :
( ( mrel @ X78 @ X124 )
=> ( hollywood @ X116 @ X124 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ( ? [X6: $i] :
( ( eiw_di @ X6 @ X4 )
& ? [X8: $i] :
( ( eiw_di @ X8 @ X4 )
& ? [X10: $i] :
( ( eiw_di @ X10 @ X4 )
& ? [X12: $i] :
( ( eiw_di @ X12 @ X4 )
& ! [X40: mworld] :
( ( mrel @ X4 @ X40 )
=> ( in @ X8 @ X6 @ X40 ) )
& ! [X38: mworld] :
( ( mrel @ X4 @ X38 )
=> ( down @ X8 @ X10 @ X38 ) )
& ! [X36: mworld] :
( ( mrel @ X4 @ X36 )
=> ( barrel @ X8 @ X12 @ X36 ) )
& ! [X34: mworld] :
( ( mrel @ X4 @ X34 )
=> ( old @ X12 @ X34 ) )
& ! [X32: mworld] :
( ( mrel @ X4 @ X32 )
=> ( dirty @ X12 @ X32 ) )
& ! [X30: mworld] :
( ( mrel @ X4 @ X30 )
=> ( white @ X12 @ X30 ) )
& ! [X28: mworld] :
( ( mrel @ X4 @ X28 )
=> ( car @ X12 @ X28 ) )
& ! [X26: mworld] :
( ( mrel @ X4 @ X26 )
=> ( chevy @ X12 @ X26 ) )
& ! [X24: mworld] :
( ( mrel @ X4 @ X24 )
=> ( lonely @ X10 @ X24 ) )
& ! [X22: mworld] :
( ( mrel @ X4 @ X22 )
=> ( way @ X10 @ X22 ) )
& ! [X20: mworld] :
( ( mrel @ X4 @ X20 )
=> ( street @ X10 @ X20 ) )
& ! [X18: mworld] :
( ( mrel @ X4 @ X18 )
=> ( event @ X8 @ X18 ) )
& ! [X16: mworld] :
( ( mrel @ X4 @ X16 )
=> ( city @ X6 @ X16 ) )
& ! [X14: mworld] :
( ( mrel @ X4 @ X14 )
=> ( hollywood @ X6 @ X14 ) ) ) ) ) )
=> ? [X42: $i] :
( ( eiw_di @ X42 @ X4 )
& ? [X44: $i] :
( ( eiw_di @ X44 @ X4 )
& ? [X46: $i] :
( ( eiw_di @ X46 @ X4 )
& ? [X48: $i] :
( ( eiw_di @ X48 @ X4 )
& ! [X76: mworld] :
( ( mrel @ X4 @ X76 )
=> ( in @ X44 @ X42 @ X76 ) )
& ! [X74: mworld] :
( ( mrel @ X4 @ X74 )
=> ( down @ X44 @ X48 @ X74 ) )
& ! [X72: mworld] :
( ( mrel @ X4 @ X72 )
=> ( barrel @ X44 @ X46 @ X72 ) )
& ! [X70: mworld] :
( ( mrel @ X4 @ X70 )
=> ( lonely @ X48 @ X70 ) )
& ! [X68: mworld] :
( ( mrel @ X4 @ X68 )
=> ( way @ X48 @ X68 ) )
& ! [X66: mworld] :
( ( mrel @ X4 @ X66 )
=> ( street @ X48 @ X66 ) )
& ! [X64: mworld] :
( ( mrel @ X4 @ X64 )
=> ( old @ X46 @ X64 ) )
& ! [X62: mworld] :
( ( mrel @ X4 @ X62 )
=> ( dirty @ X46 @ X62 ) )
& ! [X60: mworld] :
( ( mrel @ X4 @ X60 )
=> ( white @ X46 @ X60 ) )
& ! [X58: mworld] :
( ( mrel @ X4 @ X58 )
=> ( car @ X46 @ X58 ) )
& ! [X56: mworld] :
( ( mrel @ X4 @ X56 )
=> ( chevy @ X46 @ X56 ) )
& ! [X54: mworld] :
( ( mrel @ X4 @ X54 )
=> ( event @ X44 @ X54 ) )
& ! [X52: mworld] :
( ( mrel @ X4 @ X52 )
=> ( city @ X42 @ X52 ) )
& ! [X50: mworld] :
( ( mrel @ X4 @ X50 )
=> ( hollywood @ X42 @ X50 ) ) ) ) ) ) ) )
& ! [X78: mworld] :
( ( mrel @ mactual @ X78 )
=> ( ? [X80: $i] :
( ( eiw_di @ X80 @ X78 )
& ? [X82: $i] :
( ( eiw_di @ X82 @ X78 )
& ? [X84: $i] :
( ( eiw_di @ X84 @ X78 )
& ? [X86: $i] :
( ( eiw_di @ X86 @ X78 )
& ! [X114: mworld] :
( ( mrel @ X78 @ X114 )
=> ( in @ X82 @ X80 @ X114 ) )
& ! [X112: mworld] :
( ( mrel @ X78 @ X112 )
=> ( down @ X82 @ X86 @ X112 ) )
& ! [X110: mworld] :
( ( mrel @ X78 @ X110 )
=> ( barrel @ X82 @ X84 @ X110 ) )
& ! [X108: mworld] :
( ( mrel @ X78 @ X108 )
=> ( lonely @ X86 @ X108 ) )
& ! [X106: mworld] :
( ( mrel @ X78 @ X106 )
=> ( way @ X86 @ X106 ) )
& ! [X104: mworld] :
( ( mrel @ X78 @ X104 )
=> ( street @ X86 @ X104 ) )
& ! [X102: mworld] :
( ( mrel @ X78 @ X102 )
=> ( old @ X84 @ X102 ) )
& ! [X100: mworld] :
( ( mrel @ X78 @ X100 )
=> ( dirty @ X84 @ X100 ) )
& ! [X98: mworld] :
( ( mrel @ X78 @ X98 )
=> ( white @ X84 @ X98 ) )
& ! [X96: mworld] :
( ( mrel @ X78 @ X96 )
=> ( car @ X84 @ X96 ) )
& ! [X94: mworld] :
( ( mrel @ X78 @ X94 )
=> ( chevy @ X84 @ X94 ) )
& ! [X92: mworld] :
( ( mrel @ X78 @ X92 )
=> ( event @ X82 @ X92 ) )
& ! [X90: mworld] :
( ( mrel @ X78 @ X90 )
=> ( city @ X80 @ X90 ) )
& ! [X88: mworld] :
( ( mrel @ X78 @ X88 )
=> ( hollywood @ X80 @ X88 ) ) ) ) ) )
=> ? [X116: $i] :
( ( eiw_di @ X116 @ X78 )
& ? [X118: $i] :
( ( eiw_di @ X118 @ X78 )
& ? [X120: $i] :
( ( eiw_di @ X120 @ X78 )
& ? [X122: $i] :
( ( eiw_di @ X122 @ X78 )
& ! [X150: mworld] :
( ( mrel @ X78 @ X150 )
=> ( in @ X118 @ X116 @ X150 ) )
& ! [X148: mworld] :
( ( mrel @ X78 @ X148 )
=> ( down @ X118 @ X120 @ X148 ) )
& ! [X146: mworld] :
( ( mrel @ X78 @ X146 )
=> ( barrel @ X118 @ X122 @ X146 ) )
& ! [X144: mworld] :
( ( mrel @ X78 @ X144 )
=> ( old @ X122 @ X144 ) )
& ! [X142: mworld] :
( ( mrel @ X78 @ X142 )
=> ( dirty @ X122 @ X142 ) )
& ! [X140: mworld] :
( ( mrel @ X78 @ X140 )
=> ( white @ X122 @ X140 ) )
& ! [X138: mworld] :
( ( mrel @ X78 @ X138 )
=> ( car @ X122 @ X138 ) )
& ! [X136: mworld] :
( ( mrel @ X78 @ X136 )
=> ( chevy @ X122 @ X136 ) )
& ! [X134: mworld] :
( ( mrel @ X78 @ X134 )
=> ( lonely @ X120 @ X134 ) )
& ! [X132: mworld] :
( ( mrel @ X78 @ X132 )
=> ( way @ X120 @ X132 ) )
& ! [X130: mworld] :
( ( mrel @ X78 @ X130 )
=> ( street @ X120 @ X130 ) )
& ! [X128: mworld] :
( ( mrel @ X78 @ X128 )
=> ( event @ X118 @ X128 ) )
& ! [X126: mworld] :
( ( mrel @ X78 @ X126 )
=> ( city @ X116 @ X126 ) )
& ! [X124: mworld] :
( ( mrel @ X78 @ X124 )
=> ( hollywood @ X116 @ X124 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( ( mrel @ mactual @ '#sk1' )
=> ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( ~ ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ( ( eiw_di @ '#sk3' @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ '#sk3' @ Y3 ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ '#sk3' @ Y3 ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk1' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk1' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( ( eiw_di @ X2 @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl22,plain,
( ~ '#form4'
| ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ '#sk3' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ '#sk3' @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl29,plain,
( ( ( eiw_di @ '#sk6' @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( in @ '#sk6' @ '#sk3' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( down @ '#sk6' @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( barrel @ '#sk6' @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( event @ '#sk6' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( city @ '#sk3' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( hollywood @ '#sk3' @ Y2 ) ) ) ) ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl36,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( in @ '#sk6' @ '#sk3' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( down @ '#sk6' @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( barrel @ '#sk6' @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( event @ '#sk6' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( city @ '#sk3' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( hollywood @ '#sk3' @ Y2 ) ) ) ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl43,plain,
( ( ( eiw_di @ '#sk8' @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( in @ '#sk6' @ '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( down @ '#sk6' @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( barrel @ '#sk6' @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( lonely @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( way @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( street @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( event @ '#sk6' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( city @ '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( hollywood @ '#sk3' @ Y1 ) ) ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl51,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( in @ '#sk6' @ '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( down @ '#sk6' @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( barrel @ '#sk6' @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( lonely @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( way @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( street @ '#sk8' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( event @ '#sk6' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( city @ '#sk3' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( hollywood @ '#sk3' @ Y1 ) ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl58,plain,
( ( ( eiw_di @ '#sk10' @ '#sk1' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( in @ '#sk6' @ '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ '#sk6' @ '#sk8' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ '#sk6' @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ '#sk10' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ '#sk8' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ '#sk8' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ '#sk8' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ '#sk6' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ '#sk3' @ Y0 ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl66,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( in @ '#sk6' @ '#sk3' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl99,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( in @ '#sk6' @ '#sk3' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl132,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( in @ '#sk6' @ '#sk3' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl71,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl104,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( white @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl137,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( white @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl11_001,plain,
! [X2: $i] :
( ~ ( ( eiw_di @ X2 @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16_002,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ~ '#form4'
| ~ ( ( eiw_di @ X2 @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
! [X2: $i] :
( ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk1' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk1' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ~ ( ( eiw_di @ X4 @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( down @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( barrel @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( lonely @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( way @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( street @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( old @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( dirty @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( white @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( car @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( chevy @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i] :
( ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk1' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( down @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( barrel @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( lonely @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( way @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( street @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( old @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( dirty @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( white @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( car @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( chevy @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk1' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( eiw_di @ X6 @ '#sk1' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( down @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( barrel @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( lonely @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( way @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( street @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( old @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( dirty @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( white @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( car @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( chevy @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk1' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( down @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( barrel @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( lonely @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( way @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( street @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( old @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( dirty @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( white @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( car @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( chevy @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk1' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( eiw_di @ X8 @ '#sk1' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ X4 @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl80,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl113,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
=> ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl147,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl167,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl167_003,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl190,plain,
! [X2: $i] :
( ( '#form17' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl192,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl167,zip_derived_cl190]) ).
thf(zip_derived_cl146,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl166,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl188,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl214,plain,
! [X4: $i,X6: $i] :
( ( '#form21' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl218,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl192,zip_derived_cl214]) ).
thf(zip_derived_cl218_004,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl192,zip_derived_cl214]) ).
thf(zip_derived_cl246,plain,
! [X2: $i] :
( ( '#form25' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl248,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ ( '#form21' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl218,zip_derived_cl246]) ).
thf(zip_derived_cl188_005,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl214_006,plain,
! [X4: $i,X6: $i] :
( ( '#form21' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl216,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl188,zip_derived_cl214]) ).
thf(zip_derived_cl190_007,plain,
! [X2: $i] :
( ( '#form17' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl242,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl216,zip_derived_cl190]) ).
thf(zip_derived_cl256,plain,
! [X8: $i] :
( ( '#form29' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl260,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl248,zip_derived_cl256]) ).
thf(zip_derived_cl260_008,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl248,zip_derived_cl256]) ).
thf(zip_derived_cl274,plain,
! [X4: $i] :
( ( '#form33' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl276,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl260,zip_derived_cl274]) ).
thf(zip_derived_cl242_009,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl216,zip_derived_cl190]) ).
thf(zip_derived_cl256_010,plain,
! [X8: $i] :
( ( '#form29' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl258,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl242,zip_derived_cl256]) ).
thf(zip_derived_cl246_011,plain,
! [X2: $i] :
( ( '#form25' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl270,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl258,zip_derived_cl246]) ).
thf(zip_derived_cl284,plain,
! [X8: $i] :
( ( '#form37' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl288,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl276,zip_derived_cl284]) ).
thf(zip_derived_cl288_012,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl276,zip_derived_cl284]) ).
thf(zip_derived_cl302,plain,
! [X6: $i] :
( ( '#form41' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl304,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl288,zip_derived_cl302]) ).
thf(zip_derived_cl270_013,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl258,zip_derived_cl246]) ).
thf(zip_derived_cl284_014,plain,
! [X8: $i] :
( ( '#form37' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl286,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl270,zip_derived_cl284]) ).
thf(zip_derived_cl274_015,plain,
! [X4: $i] :
( ( '#form33' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl298,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl286,zip_derived_cl274]) ).
thf(zip_derived_cl312,plain,
! [X8: $i] :
( ( '#form45' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl316,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl304,zip_derived_cl312]) ).
thf(zip_derived_cl316_016,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl304,zip_derived_cl312]) ).
thf(zip_derived_cl330,plain,
! [X6: $i] :
( ( '#form49' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl332,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl316,zip_derived_cl330]) ).
thf(zip_derived_cl298_017,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl286,zip_derived_cl274]) ).
thf(zip_derived_cl312_018,plain,
! [X8: $i] :
( ( '#form45' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl314,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl298,zip_derived_cl312]) ).
thf(zip_derived_cl302_019,plain,
! [X6: $i] :
( ( '#form41' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl326,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl314,zip_derived_cl302]) ).
thf(zip_derived_cl340,plain,
! [X6: $i] :
( ( '#form53' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl344,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form49' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl332,zip_derived_cl340]) ).
thf(zip_derived_cl358,plain,
! [X6: $i] :
( ( '#form57' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl359,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk58' @ X6 ) )
=> ( white @ X6 @ ( '#sk58' @ X6 ) ) )
| ( '#form57' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl374,plain,
! [X6: $i] :
( ~ ( white @ X6 @ ( '#sk58' @ X6 ) )
| ( '#form57' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl446,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk58' @ '#sk10' ) )
| ( '#form57' @ '#sk10' ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl374]) ).
thf(zip_derived_cl373,plain,
! [X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk58' @ X6 ) )
| ( '#form57' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl504,plain,
( ( '#form57' @ '#sk10' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl446,zip_derived_cl373]) ).
thf(zip_derived_cl72,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl105,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( car @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl138,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( car @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl330_020,plain,
! [X6: $i] :
( ( '#form49' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl331,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk50' @ X6 ) )
=> ( car @ X6 @ ( '#sk50' @ X6 ) ) )
| ( '#form49' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl346,plain,
! [X6: $i] :
( ~ ( car @ X6 @ ( '#sk50' @ X6 ) )
| ( '#form49' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl331]) ).
thf(zip_derived_cl475,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk50' @ '#sk10' ) )
| ( '#form49' @ '#sk10' ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl346]) ).
thf(zip_derived_cl345,plain,
! [X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk50' @ X6 ) )
| ( '#form49' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl331]) ).
thf(zip_derived_cl634,plain,
( ( '#form49' @ '#sk10' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl475,zip_derived_cl345]) ).
thf(zip_derived_cl73,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl106,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( chevy @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl139,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( chevy @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl302_021,plain,
! [X6: $i] :
( ( '#form41' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl303,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk42' @ X6 ) )
=> ( chevy @ X6 @ ( '#sk42' @ X6 ) ) )
| ( '#form41' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl318,plain,
! [X6: $i] :
( ~ ( chevy @ X6 @ ( '#sk42' @ X6 ) )
| ( '#form41' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl489,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk42' @ '#sk10' ) )
| ( '#form41' @ '#sk10' ) ),
inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl318]) ).
thf(zip_derived_cl317,plain,
! [X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk42' @ X6 ) )
| ( '#form41' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl303]) ).
thf(zip_derived_cl664,plain,
( ( '#form41' @ '#sk10' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl489,zip_derived_cl317]) ).
thf(zip_derived_cl68,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ '#sk6' @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl101,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( barrel @ '#sk6' @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl134,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( barrel @ '#sk6' @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl214_022,plain,
! [X4: $i,X6: $i] :
( ( '#form21' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl215,plain,
! [X4: $i,X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk22' @ X4 @ X6 ) )
=> ( barrel @ X4 @ X6 @ ( '#sk22' @ X4 @ X6 ) ) )
| ( '#form21' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl244,plain,
! [X4: $i,X6: $i] :
( ~ ( barrel @ X4 @ X6 @ ( '#sk22' @ X4 @ X6 ) )
| ( '#form21' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl429,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk22' @ '#sk6' @ '#sk10' ) )
| ( '#form21' @ '#sk6' @ '#sk10' ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl244]) ).
thf(zip_derived_cl243,plain,
! [X4: $i,X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk22' @ X4 @ X6 ) )
| ( '#form21' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl1192,plain,
( ( '#form21' @ '#sk6' @ '#sk10' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl429,zip_derived_cl243]) ).
thf(zip_derived_cl65,plain,
( ( eiw_di @ '#sk10' @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl67,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( down @ '#sk6' @ '#sk8' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl100,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( down @ '#sk6' @ '#sk8' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl133,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( down @ '#sk6' @ '#sk8' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl344_023,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form49' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl332,zip_derived_cl340]) ).
thf(zip_derived_cl358_024,plain,
! [X6: $i] :
( ( '#form57' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl360,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form57' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl344,zip_derived_cl358]) ).
thf(zip_derived_cl326_025,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl314,zip_derived_cl302]) ).
thf(zip_derived_cl340_026,plain,
! [X6: $i] :
( ( '#form53' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl342,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl326,zip_derived_cl340]) ).
thf(zip_derived_cl330_027,plain,
! [X6: $i] :
( ( '#form49' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl354,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl342,zip_derived_cl330]) ).
thf(zip_derived_cl368,plain,
! [X6: $i] :
( ( '#form61' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl372,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form61' @ X6 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
=> ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form57' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl360,zip_derived_cl368]) ).
thf(zip_derived_cl387,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form57' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form61' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl368_028,plain,
! [X6: $i] :
( ( '#form61' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl369,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk62' @ X6 ) )
=> ( dirty @ X6 @ ( '#sk62' @ X6 ) ) )
| ( '#form61' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl383,plain,
! [X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk62' @ X6 ) )
| ( '#form61' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl369]) ).
thf(zip_derived_cl384,plain,
! [X6: $i] :
( ~ ( dirty @ X6 @ ( '#sk62' @ X6 ) )
| ( '#form61' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl369]) ).
thf(zip_derived_cl340_029,plain,
! [X6: $i] :
( ( '#form53' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl341,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk54' @ X6 ) )
=> ( old @ X6 @ ( '#sk54' @ X6 ) ) )
| ( '#form53' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl355,plain,
! [X6: $i] :
( ( mrel @ '#sk1' @ ( '#sk54' @ X6 ) )
| ( '#form53' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl356,plain,
! [X6: $i] :
( ~ ( old @ X6 @ ( '#sk54' @ X6 ) )
| ( '#form53' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl77,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ '#sk6' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl110,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( event @ '#sk6' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl143,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( event @ '#sk6' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl274_030,plain,
! [X4: $i] :
( ( '#form33' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl275,plain,
! [X4: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk34' @ X4 ) )
=> ( event @ X4 @ ( '#sk34' @ X4 ) ) )
| ( '#form33' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl274]) ).
thf(zip_derived_cl290,plain,
! [X4: $i] :
( ~ ( event @ X4 @ ( '#sk34' @ X4 ) )
| ( '#form33' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl275]) ).
thf(zip_derived_cl524,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk34' @ '#sk6' ) )
| ( '#form33' @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl290]) ).
thf(zip_derived_cl289,plain,
! [X4: $i] :
( ( mrel @ '#sk1' @ ( '#sk34' @ X4 ) )
| ( '#form33' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl275]) ).
thf(zip_derived_cl860,plain,
( ( '#form33' @ '#sk6' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl524,zip_derived_cl289]) ).
thf(zip_derived_cl35,plain,
( ( eiw_di @ '#sk6' @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl189,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl214_031,plain,
! [X4: $i,X6: $i] :
( ( '#form21' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl217,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl189,zip_derived_cl214]) ).
thf(zip_derived_cl190_032,plain,
! [X2: $i] :
( ( '#form17' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl245,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl217,zip_derived_cl190]) ).
thf(zip_derived_cl256_033,plain,
! [X8: $i] :
( ( '#form29' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl259,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl245,zip_derived_cl256]) ).
thf(zip_derived_cl246_034,plain,
! [X2: $i] :
( ( '#form25' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl273,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl259,zip_derived_cl246]) ).
thf(zip_derived_cl284_035,plain,
! [X8: $i] :
( ( '#form37' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl287,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl273,zip_derived_cl284]) ).
thf(zip_derived_cl274_036,plain,
! [X4: $i] :
( ( '#form33' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl301,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl287,zip_derived_cl274]) ).
thf(zip_derived_cl312_037,plain,
! [X8: $i] :
( ( '#form45' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl315,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl301,zip_derived_cl312]) ).
thf(zip_derived_cl302_038,plain,
! [X6: $i] :
( ( '#form41' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( chevy @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl329,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl315,zip_derived_cl302]) ).
thf(zip_derived_cl340_039,plain,
! [X6: $i] :
( ( '#form53' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl343,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl329,zip_derived_cl340]) ).
thf(zip_derived_cl330_040,plain,
! [X6: $i] :
( ( '#form49' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl357,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl343,zip_derived_cl330]) ).
thf(zip_derived_cl368_041,plain,
! [X6: $i] :
( ( '#form61' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl371,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form61' @ X6 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form49' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl357,zip_derived_cl368]) ).
thf(zip_derived_cl358_042,plain,
! [X6: $i] :
( ( '#form57' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl385,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form57' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( down @ X4 @ X8 @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form61' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl371,zip_derived_cl358]) ).
thf(zip_derived_cl386,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form57' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ~ ( in @ X4 @ X2 @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form61' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl78,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ '#sk3' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl111,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( city @ '#sk3' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl144,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( city @ '#sk3' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl246_043,plain,
! [X2: $i] :
( ( '#form25' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl247,plain,
! [X2: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk26' @ X2 ) )
=> ( city @ X2 @ ( '#sk26' @ X2 ) ) )
| ( '#form25' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl262,plain,
! [X2: $i] :
( ~ ( city @ X2 @ ( '#sk26' @ X2 ) )
| ( '#form25' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl532,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk26' @ '#sk3' ) )
| ( '#form25' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl262]) ).
thf(zip_derived_cl261,plain,
! [X2: $i] :
( ( mrel @ '#sk1' @ ( '#sk26' @ X2 ) )
| ( '#form25' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl890,plain,
( ( '#form25' @ '#sk3' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl532,zip_derived_cl261]) ).
thf(zip_derived_cl14,plain,
( ( eiw_di @ '#sk3' @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16_044,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl21,plain,
( ~ '#form4'
| ( eiw_di @ '#sk3' @ '#sk1' ) ),
inference(renaming,[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl70,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl103,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( dirty @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl136,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( dirty @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl69,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( old @ '#sk10' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl102,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( old @ '#sk10' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl135,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( old @ '#sk10' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl190_045,plain,
! [X2: $i] :
( ( '#form17' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl191,plain,
! [X2: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk18' @ X2 ) )
=> ( hollywood @ X2 @ ( '#sk18' @ X2 ) ) )
| ( '#form17' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl219,plain,
! [X2: $i] :
( ( mrel @ '#sk1' @ ( '#sk18' @ X2 ) )
| ( '#form17' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl220,plain,
! [X2: $i] :
( ~ ( hollywood @ X2 @ ( '#sk18' @ X2 ) )
| ( '#form17' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl76,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ '#sk8' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl109,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( street @ '#sk8' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl142,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( street @ '#sk8' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl312_046,plain,
! [X8: $i] :
( ( '#form45' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl313,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk46' @ X8 ) )
=> ( street @ X8 @ ( '#sk46' @ X8 ) ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl328,plain,
! [X8: $i] :
( ~ ( street @ X8 @ ( '#sk46' @ X8 ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl313]) ).
thf(zip_derived_cl515,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk46' @ '#sk8' ) )
| ( '#form45' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl328]) ).
thf(zip_derived_cl327,plain,
! [X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk46' @ X8 ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl313]) ).
thf(zip_derived_cl796,plain,
( ( '#form45' @ '#sk8' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl515,zip_derived_cl327]) ).
thf(zip_derived_cl75,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ '#sk8' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl108,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( way @ '#sk8' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl141,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( way @ '#sk8' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl284_047,plain,
! [X8: $i] :
( ( '#form37' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl285,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk38' @ X8 ) )
=> ( way @ X8 @ ( '#sk38' @ X8 ) ) )
| ( '#form37' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl300,plain,
! [X8: $i] :
( ~ ( way @ X8 @ ( '#sk38' @ X8 ) )
| ( '#form37' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl508,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk38' @ '#sk8' ) )
| ( '#form37' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl300]) ).
thf(zip_derived_cl299,plain,
! [X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk38' @ X8 ) )
| ( '#form37' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl766,plain,
( ( '#form37' @ '#sk8' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl508,zip_derived_cl299]) ).
thf(zip_derived_cl74,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ '#sk8' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl107,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( lonely @ '#sk8' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl140,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( lonely @ '#sk8' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl256_048,plain,
! [X8: $i] :
( ( '#form29' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl257,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk1' @ ( '#sk30' @ X8 ) )
=> ( lonely @ X8 @ ( '#sk30' @ X8 ) ) )
| ( '#form29' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl272,plain,
! [X8: $i] :
( ~ ( lonely @ X8 @ ( '#sk30' @ X8 ) )
| ( '#form29' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl497,plain,
( ~ '#form4'
| ~ ( mrel @ '#sk1' @ ( '#sk30' @ '#sk8' ) )
| ( '#form29' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl272]) ).
thf(zip_derived_cl271,plain,
! [X8: $i] :
( ( mrel @ '#sk1' @ ( '#sk30' @ X8 ) )
| ( '#form29' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl694,plain,
( ( '#form29' @ '#sk8' )
| ~ '#form4' ),
inference(clc,[status(thm)],[zip_derived_cl497,zip_derived_cl271]) ).
thf(zip_derived_cl50,plain,
( ( eiw_di @ '#sk8' @ '#sk1' )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl354_049,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl342,zip_derived_cl330]) ).
thf(zip_derived_cl368_050,plain,
! [X6: $i] :
( ( '#form61' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl370,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form61' @ X6 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form21' @ X4 @ X6 )
| ~ '#form4'
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ~ ( '#form17' @ X2 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form49' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl354,zip_derived_cl368]) ).
thf(zip_derived_cl358_051,plain,
! [X6: $i] :
( ( '#form57' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl382,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form57' @ X6 )
| ~ ( '#form49' @ X6 )
| ~ ( '#form41' @ X6 )
| ~ ( '#form33' @ X4 )
| ~ ( '#form25' @ X2 )
| ~ ( '#form17' @ X2 )
| ( mrel @ '#sk1' @ ( '#sk14' @ X4 @ X8 ) )
| ( mrel @ '#sk1' @ ( '#sk12' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk1' )
| ~ ( eiw_di @ X6 @ '#sk1' )
| ~ ( eiw_di @ X4 @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk1' )
| ~ '#form4'
| ~ ( '#form21' @ X4 @ X6 )
| ~ ( '#form29' @ X8 )
| ~ ( '#form37' @ X8 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X6 )
| ~ ( '#form61' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl370,zip_derived_cl358]) ).
thf(zip_derived_cl79,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk1' @ Y0 )
=> ( hollywood @ '#sk3' @ Y0 ) ) )
| ~ '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl112,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk1' @ X2 )
=> ( hollywood @ '#sk3' @ X2 ) )
| ~ '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl145,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk1' @ X2 )
| ( hollywood @ '#sk3' @ X2 )
| ~ '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl16_052,plain,
( '#form4'
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl17,plain,
( ~ ( ( mrel @ mactual @ '#sk2' )
=> ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
( ~ ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl31,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl38,plain,
( ( ( eiw_di @ '#sk5' @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ '#sk5' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ '#sk5' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl45,plain,
( ( eiw_di @ '#sk5' @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl46,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ '#sk5' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ '#sk5' @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl53,plain,
( ( ( eiw_di @ '#sk7' @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ '#sk7' @ '#sk5' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ '#sk7' @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ '#sk7' @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ '#sk7' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ '#sk5' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl60,plain,
( ( eiw_di @ '#sk7' @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl61,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ '#sk7' @ '#sk5' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ '#sk7' @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ '#sk7' @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ '#sk7' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ '#sk5' @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl81,plain,
( ( ( eiw_di @ '#sk9' @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ '#sk7' @ '#sk5' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ '#sk7' @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ '#sk7' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ '#sk5' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ '#sk5' @ Y1 ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl115,plain,
( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ '#sk7' @ '#sk5' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ '#sk7' @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ '#sk9' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ '#sk7' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ '#sk5' @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ '#sk5' @ Y1 ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl148,plain,
( ( ( eiw_di @ '#sk11' @ '#sk2' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ '#sk7' @ '#sk5' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ '#sk7' @ '#sk11' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ '#sk11' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ '#sk11' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ '#sk11' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ '#sk9' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ '#sk7' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ '#sk5' @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ '#sk5' @ Y0 ) ) ) )
| '#form4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl169,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ '#sk7' @ '#sk5' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl193,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( in @ '#sk7' @ '#sk5' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl221,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( in @ '#sk7' @ '#sk5' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl3,plain,
( ( mrel @ mactual @ '#sk1' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y0 )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y0 )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( in @ Y2 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( down @ Y2 @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( barrel @ Y2 @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( old @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( dirty @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( white @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( car @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( chevy @ Y4 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( lonely @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( way @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( street @ Y3 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( event @ Y2 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( city @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y0 @ Y5 )
=> ( hollywood @ Y1 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ~ ( ( mrel @ mactual @ '#sk2' )
=> ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( ~ ( ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ~ ( ( eiw_di @ X2 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i] :
( ~ ( ( eiw_di @ X4 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i] :
( ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( eiw_di @ X6 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) ) )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl64,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( eiw_di @ X8 @ '#sk2' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl98,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl131,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
=> ( in @ X4 @ X2 @ ( '#sk13' @ X2 @ X4 ) ) )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl164,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl164_053,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl184,plain,
! [X4: $i,X6: $i] :
( ( '#form15' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl186,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl164,zip_derived_cl184]) ).
thf(zip_derived_cl208,plain,
! [X2: $i] :
( ( '#form19' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl209,plain,
! [X2: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk20' @ X2 ) )
=> ( hollywood @ X2 @ ( '#sk20' @ X2 ) ) )
| ( '#form19' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl239,plain,
! [X2: $i] :
( ( mrel @ '#sk2' @ ( '#sk20' @ X2 ) )
| ( '#form19' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl182,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ '#sk5' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl206,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( hollywood @ '#sk5' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl234,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( hollywood @ '#sk5' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl1143,plain,
! [X0: $i] :
( ( '#form19' @ X0 )
| '#form4'
| ( hollywood @ '#sk5' @ ( '#sk20' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl234]) ).
thf(zip_derived_cl114,plain,
( ( eiw_di @ '#sk9' @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl240,plain,
! [X2: $i] :
( ~ ( hollywood @ X2 @ ( '#sk20' @ X2 ) )
| ( '#form19' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl186_054,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl164,zip_derived_cl184]) ).
thf(zip_derived_cl208_055,plain,
! [X2: $i] :
( ( '#form19' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl210,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl186,zip_derived_cl208]) ).
thf(zip_derived_cl210_056,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl186,zip_derived_cl208]) ).
thf(zip_derived_cl236,plain,
! [X4: $i,X8: $i] :
( ( '#form23' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl238,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl210,zip_derived_cl236]) ).
thf(zip_derived_cl250,plain,
! [X2: $i] :
( ( '#form27' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl251,plain,
! [X2: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk28' @ X2 ) )
=> ( city @ X2 @ ( '#sk28' @ X2 ) ) )
| ( '#form27' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl267,plain,
! [X2: $i] :
( ( mrel @ '#sk2' @ ( '#sk28' @ X2 ) )
| ( '#form27' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl268,plain,
! [X2: $i] :
( ~ ( city @ X2 @ ( '#sk28' @ X2 ) )
| ( '#form27' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl168,plain,
( ( eiw_di @ '#sk11' @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl32,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( ??
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ '#sk2' )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( in @ Y1 @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( down @ Y1 @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( barrel @ Y1 @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( old @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( dirty @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( white @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( car @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( chevy @ Y3 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( lonely @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( way @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( street @ Y2 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( event @ Y1 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( city @ Y0 @ Y4 ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ '#sk2' @ Y4 )
=> ( hollywood @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl39,plain,
! [X2: $i] :
( ~ ( ( eiw_di @ X2 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl47,plain,
! [X2: $i] :
( ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( ??
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ '#sk2' )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( in @ Y0 @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( down @ Y0 @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( barrel @ Y0 @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( old @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( dirty @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( white @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( car @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( chevy @ Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( lonely @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( way @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( street @ Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( event @ Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( city @ X2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: mworld] :
( ( mrel @ '#sk2' @ Y3 )
=> ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl54,plain,
! [X2: $i,X4: $i] :
( ~ ( ( eiw_di @ X4 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl62,plain,
! [X2: $i,X4: $i] :
( ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( ??
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( in @ X4 @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( down @ X4 @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( barrel @ X4 @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( old @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( dirty @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( white @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( car @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( chevy @ Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( lonely @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( way @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( street @ Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( event @ X4 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( city @ X2 @ Y2 ) ) )
& ( !!
@ ^ [Y2: mworld] :
( ( mrel @ '#sk2' @ Y2 )
=> ( hollywood @ X2 @ Y2 ) ) ) ) ) ) )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl82,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( eiw_di @ X6 @ '#sk2' )
& ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) ) )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl116,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( ??
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( in @ X4 @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( down @ X4 @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( barrel @ X4 @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( old @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( dirty @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( white @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( car @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( chevy @ Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( lonely @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( way @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( street @ X6 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( event @ X4 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( city @ X2 @ Y1 ) ) )
& ( !!
@ ^ [Y1: mworld] :
( ( mrel @ '#sk2' @ Y1 )
=> ( hollywood @ X2 @ Y1 ) ) ) ) )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl149,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( eiw_di @ X8 @ '#sk2' )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
& ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl183,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl184_057,plain,
! [X4: $i,X6: $i] :
( ( '#form15' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl207,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' ) ),
inference(renaming,[status(thm)],[zip_derived_cl183,zip_derived_cl184]) ).
thf(zip_derived_cl208_058,plain,
! [X2: $i] :
( ( '#form19' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl235,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl207,zip_derived_cl208]) ).
thf(zip_derived_cl236_059,plain,
! [X4: $i,X8: $i] :
( ( '#form23' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl249,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl235,zip_derived_cl236]) ).
thf(zip_derived_cl250_060,plain,
! [X2: $i] :
( ( '#form27' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl263,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl249,zip_derived_cl250]) ).
thf(zip_derived_cl238_061,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl210,zip_derived_cl236]) ).
thf(zip_derived_cl250_062,plain,
! [X2: $i] :
( ( '#form27' @ X2 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl252,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl238,zip_derived_cl250]) ).
thf(zip_derived_cl264,plain,
! [X8: $i] :
( ( '#form31' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl277,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl263,zip_derived_cl264]) ).
thf(zip_derived_cl252_063,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl238,zip_derived_cl250]) ).
thf(zip_derived_cl264_064,plain,
! [X8: $i] :
( ( '#form31' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl266,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl252,zip_derived_cl264]) ).
thf(zip_derived_cl278,plain,
! [X4: $i] :
( ( '#form35' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl291,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl277,zip_derived_cl278]) ).
thf(zip_derived_cl266_065,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl252,zip_derived_cl264]) ).
thf(zip_derived_cl278_066,plain,
! [X4: $i] :
( ( '#form35' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl280,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl266,zip_derived_cl278]) ).
thf(zip_derived_cl292,plain,
! [X8: $i] :
( ( '#form39' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl305,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl291,zip_derived_cl292]) ).
thf(zip_derived_cl280_067,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl266,zip_derived_cl278]) ).
thf(zip_derived_cl292_068,plain,
! [X8: $i] :
( ( '#form39' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl294,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl280,zip_derived_cl292]) ).
thf(zip_derived_cl306,plain,
! [X6: $i] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl319,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl305,zip_derived_cl306]) ).
thf(zip_derived_cl294_069,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl280,zip_derived_cl292]) ).
thf(zip_derived_cl306_070,plain,
! [X6: $i] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl308,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl294,zip_derived_cl306]) ).
thf(zip_derived_cl320,plain,
! [X8: $i] :
( ( '#form47' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl333,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl319,zip_derived_cl320]) ).
thf(zip_derived_cl308_071,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl294,zip_derived_cl306]) ).
thf(zip_derived_cl320_072,plain,
! [X8: $i] :
( ( '#form47' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl322,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl308,zip_derived_cl320]) ).
thf(zip_derived_cl334,plain,
! [X6: $i] :
( ( '#form51' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl347,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl333,zip_derived_cl334]) ).
thf(zip_derived_cl322_073,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl308,zip_derived_cl320]) ).
thf(zip_derived_cl334_074,plain,
! [X6: $i] :
( ( '#form51' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl336,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl322,zip_derived_cl334]) ).
thf(zip_derived_cl348,plain,
! [X8: $i] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl361,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl347,zip_derived_cl348]) ).
thf(zip_derived_cl336_075,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl322,zip_derived_cl334]) ).
thf(zip_derived_cl348_076,plain,
! [X8: $i] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl350,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl336,zip_derived_cl348]) ).
thf(zip_derived_cl362,plain,
! [X6: $i] :
( ( '#form59' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl375,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form59' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl361,zip_derived_cl362]) ).
thf(zip_derived_cl350_077,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| ( mrel @ mactual @ '#sk1' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl336,zip_derived_cl348]) ).
thf(zip_derived_cl362_078,plain,
! [X6: $i] :
( ( '#form59' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl364,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form59' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| ( mrel @ mactual @ '#sk1' )
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl350,zip_derived_cl362]) ).
thf(zip_derived_cl376,plain,
! [X8: $i] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl388,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form59' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl375,zip_derived_cl376]) ).
thf(zip_derived_cl391,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
=> ( in @ X4 @ X2 @ ( '#sk13' @ X2 @ X4 ) ) )
| ~ ( '#form59' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form19' @ X2 )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X2 @ '#sk2' )
| '#form4'
| ~ ( '#form15' @ X4 @ X6 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl388]) ).
thf(zip_derived_cl393,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X4 @ X2 @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form59' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl391]) ).
thf(zip_derived_cl181,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( city @ '#sk5' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl205,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( city @ '#sk5' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl233,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( city @ '#sk5' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl184_079,plain,
! [X4: $i,X6: $i] :
( ( '#form15' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl185,plain,
! [X4: $i,X6: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk16' @ X4 @ X6 ) )
=> ( down @ X4 @ X6 @ ( '#sk16' @ X4 @ X6 ) ) )
| ( '#form15' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl211,plain,
! [X4: $i,X6: $i] :
( ( mrel @ '#sk2' @ ( '#sk16' @ X4 @ X6 ) )
| ( '#form15' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl212,plain,
! [X4: $i,X6: $i] :
( ~ ( down @ X4 @ X6 @ ( '#sk16' @ X4 @ X6 ) )
| ( '#form15' @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl236_080,plain,
! [X4: $i,X8: $i] :
( ( '#form23' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl237,plain,
! [X4: $i,X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk24' @ X4 @ X8 ) )
=> ( barrel @ X4 @ X8 @ ( '#sk24' @ X4 @ X8 ) ) )
| ( '#form23' @ X4 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl253,plain,
! [X4: $i,X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk24' @ X4 @ X8 ) )
| ( '#form23' @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl254,plain,
! [X4: $i,X8: $i] :
( ~ ( barrel @ X4 @ X8 @ ( '#sk24' @ X4 @ X8 ) )
| ( '#form23' @ X4 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl278_081,plain,
! [X4: $i] :
( ( '#form35' @ X4 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl279,plain,
! [X4: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk36' @ X4 ) )
=> ( event @ X4 @ ( '#sk36' @ X4 ) ) )
| ( '#form35' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl295,plain,
! [X4: $i] :
( ( mrel @ '#sk2' @ ( '#sk36' @ X4 ) )
| ( '#form35' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl296,plain,
! [X4: $i] :
( ~ ( event @ X4 @ ( '#sk36' @ X4 ) )
| ( '#form35' @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl170,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( down @ '#sk7' @ '#sk11' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl194,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( down @ '#sk7' @ '#sk11' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl222,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( down @ '#sk7' @ '#sk11' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl171,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl195,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( barrel @ '#sk7' @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl223,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( barrel @ '#sk7' @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl180,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( event @ '#sk7' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl204,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( event @ '#sk7' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl232,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( event @ '#sk7' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl264_082,plain,
! [X8: $i] :
( ( '#form31' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl265,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk32' @ X8 ) )
=> ( old @ X8 @ ( '#sk32' @ X8 ) ) )
| ( '#form31' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl281,plain,
! [X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk32' @ X8 ) )
| ( '#form31' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl282,plain,
! [X8: $i] :
( ~ ( old @ X8 @ ( '#sk32' @ X8 ) )
| ( '#form31' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl292_083,plain,
! [X8: $i] :
( ( '#form39' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl293,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk40' @ X8 ) )
=> ( dirty @ X8 @ ( '#sk40' @ X8 ) ) )
| ( '#form39' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl292]) ).
thf(zip_derived_cl309,plain,
! [X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk40' @ X8 ) )
| ( '#form39' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl310,plain,
! [X8: $i] :
( ~ ( dirty @ X8 @ ( '#sk40' @ X8 ) )
| ( '#form39' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl320_084,plain,
! [X8: $i] :
( ( '#form47' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl321,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk48' @ X8 ) )
=> ( white @ X8 @ ( '#sk48' @ X8 ) ) )
| ( '#form47' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl337,plain,
! [X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk48' @ X8 ) )
| ( '#form47' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl338,plain,
! [X8: $i] :
( ~ ( white @ X8 @ ( '#sk48' @ X8 ) )
| ( '#form47' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl348_085,plain,
! [X8: $i] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl349,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk56' @ X8 ) )
=> ( car @ X8 @ ( '#sk56' @ X8 ) ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl365,plain,
! [X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk56' @ X8 ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl366,plain,
! [X8: $i] :
( ~ ( car @ X8 @ ( '#sk56' @ X8 ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl376_086,plain,
! [X8: $i] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl377,plain,
! [X8: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk64' @ X8 ) )
=> ( chevy @ X8 @ ( '#sk64' @ X8 ) ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl389,plain,
! [X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl390,plain,
! [X8: $i] :
( ~ ( chevy @ X8 @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl377]) ).
thf(zip_derived_cl392,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( mrel @ '#sk2' @ ( '#sk13' @ X2 @ X4 ) )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X8 )
| ~ ( '#form39' @ X8 )
| ~ ( '#form31' @ X8 )
| ~ ( '#form23' @ X4 @ X8 )
| ~ ( '#form15' @ X4 @ X6 )
| '#form4'
| ~ ( eiw_di @ X2 @ '#sk2' )
| ~ ( eiw_di @ X4 @ '#sk2' )
| ~ ( eiw_di @ X6 @ '#sk2' )
| ~ ( eiw_di @ X8 @ '#sk2' )
| ~ ( '#form19' @ X2 )
| ~ ( '#form27' @ X2 )
| ~ ( '#form35' @ X4 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X6 )
| ~ ( '#form59' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl391]) ).
thf(zip_derived_cl175,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( old @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl199,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( old @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl227,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( old @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl176,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( dirty @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl200,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( dirty @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl228,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( dirty @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl177,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( white @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl201,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( white @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl229,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( white @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl178,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( car @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl202,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( car @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl230,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( car @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl179,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( chevy @ '#sk9' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl203,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( chevy @ '#sk9' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl231,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( chevy @ '#sk9' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl306_087,plain,
! [X6: $i] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl307,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk44' @ X6 ) )
=> ( street @ X6 @ ( '#sk44' @ X6 ) ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl306]) ).
thf(zip_derived_cl323,plain,
! [X6: $i] :
( ( mrel @ '#sk2' @ ( '#sk44' @ X6 ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl324,plain,
! [X6: $i] :
( ~ ( street @ X6 @ ( '#sk44' @ X6 ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl307]) ).
thf(zip_derived_cl334_088,plain,
! [X6: $i] :
( ( '#form51' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl335,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk52' @ X6 ) )
=> ( way @ X6 @ ( '#sk52' @ X6 ) ) )
| ( '#form51' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl351,plain,
! [X6: $i] :
( ( mrel @ '#sk2' @ ( '#sk52' @ X6 ) )
| ( '#form51' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl352,plain,
! [X6: $i] :
( ~ ( way @ X6 @ ( '#sk52' @ X6 ) )
| ( '#form51' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl362_089,plain,
! [X6: $i] :
( ( '#form59' @ X6 )
| ~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl363,plain,
! [X6: $i] :
( ~ ( ( mrel @ '#sk2' @ ( '#sk60' @ X6 ) )
=> ( lonely @ X6 @ ( '#sk60' @ X6 ) ) )
| ( '#form59' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl362]) ).
thf(zip_derived_cl379,plain,
! [X6: $i] :
( ( mrel @ '#sk2' @ ( '#sk60' @ X6 ) )
| ( '#form59' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl380,plain,
! [X6: $i] :
( ~ ( lonely @ X6 @ ( '#sk60' @ X6 ) )
| ( '#form59' @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl174,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( street @ '#sk11' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl198,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( street @ '#sk11' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl226,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( street @ '#sk11' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl173,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( way @ '#sk11' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl197,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( way @ '#sk11' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl225,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( way @ '#sk11' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl172,plain,
( ( !!
@ ^ [Y0: mworld] :
( ( mrel @ '#sk2' @ Y0 )
=> ( lonely @ '#sk11' @ Y0 ) ) )
| '#form4' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl196,plain,
! [X2: mworld] :
( ( ( mrel @ '#sk2' @ X2 )
=> ( lonely @ '#sk11' @ X2 ) )
| '#form4' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl224,plain,
! [X2: mworld] :
( ~ ( mrel @ '#sk2' @ X2 )
| ( lonely @ '#sk11' @ X2 )
| '#form4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl8030,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl132,zip_derived_cl504,zip_derived_cl634,zip_derived_cl664,zip_derived_cl1192,zip_derived_cl65,zip_derived_cl133,zip_derived_cl387,zip_derived_cl383,zip_derived_cl384,zip_derived_cl355,zip_derived_cl356,zip_derived_cl860,zip_derived_cl35,zip_derived_cl385,zip_derived_cl386,zip_derived_cl890,zip_derived_cl21,zip_derived_cl136,zip_derived_cl135,zip_derived_cl219,zip_derived_cl220,zip_derived_cl796,zip_derived_cl766,zip_derived_cl694,zip_derived_cl50,zip_derived_cl382,zip_derived_cl145,zip_derived_cl45,zip_derived_cl60,zip_derived_cl221,zip_derived_cl1143,zip_derived_cl114,zip_derived_cl240,zip_derived_cl267,zip_derived_cl268,zip_derived_cl168,zip_derived_cl393,zip_derived_cl233,zip_derived_cl211,zip_derived_cl212,zip_derived_cl253,zip_derived_cl254,zip_derived_cl295,zip_derived_cl296,zip_derived_cl222,zip_derived_cl223,zip_derived_cl232,zip_derived_cl281,zip_derived_cl282,zip_derived_cl309,zip_derived_cl310,zip_derived_cl337,zip_derived_cl338,zip_derived_cl365,zip_derived_cl366,zip_derived_cl389,zip_derived_cl390,zip_derived_cl392,zip_derived_cl227,zip_derived_cl228,zip_derived_cl229,zip_derived_cl230,zip_derived_cl231,zip_derived_cl323,zip_derived_cl324,zip_derived_cl351,zip_derived_cl352,zip_derived_cl379,zip_derived_cl380,zip_derived_cl226,zip_derived_cl225,zip_derived_cl224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL945^9 : 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.3dNBwIHOcf true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 18:16:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 51.79/7.31 % Solved by lams/20_acsne_simpl.sh.
% 51.79/7.31 % done 2117 iterations in 6.237s
% 51.79/7.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 51.79/7.31 % SZS output start Refutation
% See solution above
% 51.79/7.34
% 51.79/7.34
% 51.79/7.34 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 51.79/7.34 % Terminating...
% 51.79/7.37 % Runner terminated.
% 51.79/7.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------