%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NLP009^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uv0mQ0rC5z true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:18:11 EDT 2023
% Result : Theorem 60.78s 8.39s
% Output : Refutation 60.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 357
% Syntax : Number of formulae : 1019 ( 25 unt; 140 typ; 0 def)
% Number of atoms : 38282 ( 24 equ;10041 cnn)
% Maximal formula atoms : 660 ( 43 avg)
% Number of connectives : 104734 (19157 ~;19020 |; 0 &;58644 @)
% ( 0 <=>; 723 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 23 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 226 ( 226 >; 0 *; 0 +; 0 <<)
% Number of symbols : 143 ( 139 usr; 25 con; 0-3 aty)
% (7190 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 10257 (7274 ^;2983 !; 0 ?;10257 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf('#sk14_type',type,
'#sk14': mu ).
thf('#form101_type',type,
'#form101': mu > $o ).
thf('#sk98_type',type,
'#sk98': mu > $i ).
thf('#form55_type',type,
'#form55': mu > $o ).
thf(event_type,type,
event: mu > $i > $o ).
thf('#sk46_type',type,
'#sk46': mu > $i ).
thf('#sk11_type',type,
'#sk11': mu ).
thf('#form45_type',type,
'#form45': mu > $o ).
thf('#form105_type',type,
'#form105': mu > mu > $o ).
thf('#form59_type',type,
'#form59': mu > mu > $o ).
thf(white_type,type,
white: mu > $i > $o ).
thf('#sk66_type',type,
'#sk66': mu > mu > $i ).
thf('#form61_type',type,
'#form61': mu > $o ).
thf(young_type,type,
young: mu > $i > $o ).
thf('#form65_type',type,
'#form65': mu > mu > $o ).
thf('#sk94_type',type,
'#sk94': mu > $i ).
thf('#sk42_type',type,
'#sk42': mu > $i ).
thf('#sk102_type',type,
'#sk102': mu > $i ).
thf('#sk23_type',type,
'#sk23': mu > $i ).
thf('#sk108_type',type,
'#sk108': mu > mu > $i ).
thf('#sk18_type',type,
'#sk18': mu ).
thf('#sk58_type',type,
'#sk58': mu > mu > $i ).
thf(front_type,type,
front: mu > $i > $o ).
thf(city_type,type,
city: mu > $i > $o ).
thf('#sk100_type',type,
'#sk100': mu > $i ).
thf('#sk27_type',type,
'#sk27': mu > $i ).
thf('#form103_type',type,
'#form103': mu > $o ).
thf(chevy_type,type,
chevy: mu > $i > $o ).
thf(street_type,type,
street: mu > $i > $o ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf('#form37_type',type,
'#form37': mu > $o ).
thf('#form83_type',type,
'#form83': mu > mu > $o ).
thf('#sk6_type',type,
'#sk6': mu ).
thf(dirty_type,type,
dirty: mu > $i > $o ).
thf('#form69_type',type,
'#form69': mu > $o ).
thf('#sk54_type',type,
'#sk54': mu > $i ).
thf('#sk10_type',type,
'#sk10': mu ).
thf('#form63_type',type,
'#form63': mu > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf('#sk24_type',type,
'#sk24': mu > $i ).
thf(seat_type,type,
seat: mu > $i > $o ).
thf('#sk90_type',type,
'#sk90': mu > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk7_type',type,
'#sk7': mu ).
thf(down_type,type,
down: mu > mu > $i > $o ).
thf('#form73_type',type,
'#form73': mu > $o ).
thf('#form29_type',type,
'#form29': mu > $o ).
thf('#form71_type',type,
'#form71': mu > $o ).
thf('#sk44_type',type,
'#sk44': mu > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk15_type',type,
'#sk15': mu ).
thf('#form35_type',type,
'#form35': mu > $o ).
thf('#form75_type',type,
'#form75': mu > $o ).
thf('#sk20_type',type,
'#sk20': mu ).
thf('#sk28_type',type,
'#sk28': $i > $i ).
thf('#sk50_type',type,
'#sk50': mu > $i ).
thf(old_type,type,
old: mu > $i > $o ).
thf('#form85_type',type,
'#form85': mu > $o ).
thf('#sk80_type',type,
'#sk80': mu > mu > $i ).
thf('#sk36_type',type,
'#sk36': mu > $i ).
thf('#form77_type',type,
'#form77': mu > mu > $o ).
thf('#sk78_type',type,
'#sk78': mu > mu > $i ).
thf('#form31_type',type,
'#form31': mu > $o ).
thf('#form49_type',type,
'#form49': mu > $o ).
thf('#sk70_type',type,
'#sk70': mu > $i ).
thf(way_type,type,
way: mu > $i > $o ).
thf(lonely_type,type,
lonely: mu > $i > $o ).
thf('#form93_type',type,
'#form93': mu > $o ).
thf(hollywood_type,type,
hollywood: mu > $i > $o ).
thf('#sk38_type',type,
'#sk38': mu > $i ).
thf(car_type,type,
car: mu > $i > $o ).
thf('#sk21_type',type,
'#sk21': mu ).
thf('#form67_type',type,
'#form67': mu > mu > $o ).
thf('#sk34_type',type,
'#sk34': mu > $i ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(in_type,type,
in: mu > mu > $i > $o ).
thf('#sk84_type',type,
'#sk84': mu > mu > $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(fellow_type,type,
fellow: mu > $i > $o ).
thf('#form33_type',type,
'#form33': mu > $o ).
thf(barrel_type,type,
barrel: mu > mu > $i > $o ).
thf('#sk30_type',type,
'#sk30': mu > $i ).
thf('#sk32_type',type,
'#sk32': mu > $i ).
thf('#sk82_type',type,
'#sk82': mu > mu > $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf('#sk88_type',type,
'#sk88': mu > $i ).
thf('#sk25_type',type,
'#sk25': mu > $i ).
thf('#form95_type',type,
'#form95': mu > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk74_type',type,
'#sk74': mu > $i ).
thf('#sk5_type',type,
'#sk5': mu ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf('#sk22_type',type,
'#sk22': mu ).
thf('#sk86_type',type,
'#sk86': mu > $i ).
thf('#sk16_type',type,
'#sk16': mu ).
thf('#form53_type',type,
'#form53': mu > $o ).
thf(qmltpeq_type,type,
qmltpeq: mu > mu > $i > $o ).
thf('#form81_type',type,
'#form81': mu > mu > $o ).
thf('#sk92_type',type,
'#sk92': mu > $i ).
thf('#sk64_type',type,
'#sk64': mu > $i ).
thf('#sk56_type',type,
'#sk56': mu > $i ).
thf('#sk106_type',type,
'#sk106': mu > mu > $i ).
thf('#sk9_type',type,
'#sk9': mu ).
thf('#form79_type',type,
'#form79': mu > mu > $o ).
thf('#form87_type',type,
'#form87': mu > $o ).
thf('#sk68_type',type,
'#sk68': mu > mu > $i ).
thf('#form3_type',type,
'#form3': $o ).
thf('#form51_type',type,
'#form51': mu > $o ).
thf('#form91_type',type,
'#form91': mu > $o ).
thf('#sk104_type',type,
'#sk104': mu > $i ).
thf('#form39_type',type,
'#form39': mu > $o ).
thf('#sk8_type',type,
'#sk8': mu ).
thf('#form89_type',type,
'#form89': mu > $o ).
thf('#sk48_type',type,
'#sk48': mu > $i ).
thf('#sk76_type',type,
'#sk76': mu > $i ).
thf('#sk52_type',type,
'#sk52': mu > $i ).
thf('#form43_type',type,
'#form43': mu > $o ).
thf(furniture_type,type,
furniture: mu > $i > $o ).
thf('#sk17_type',type,
'#sk17': mu ).
thf('#sk40_type',type,
'#sk40': mu > $i ).
thf('#form47_type',type,
'#form47': mu > $o ).
thf('#sk60_type',type,
'#sk60': mu > mu > $i ).
thf('#sk72_type',type,
'#sk72': mu > $i ).
thf('#sk13_type',type,
'#sk13': mu ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#form41_type',type,
'#form41': mu > $o ).
thf('#form97_type',type,
'#form97': mu > $o ).
thf('#sk26_type',type,
'#sk26': $i > $i ).
thf('#sk96_type',type,
'#sk96': mu > $i ).
thf('#sk19_type',type,
'#sk19': mu ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#form57_type',type,
'#form57': mu > mu > $o ).
thf(man_type,type,
man: mu > $i > $o ).
thf('#sk12_type',type,
'#sk12': mu ).
thf('#form99_type',type,
'#form99': mu > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk62_type',type,
'#sk62': mu > $i ).
thf('#form107_type',type,
'#form107': mu > mu > $o ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ) ).
thf('4',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] :
( ( exists_in_world @ X @ W )
=> ( Phi @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('5',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] :
( ( exists_in_world @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'5','7']) ).
thf('9',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('10',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('11',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'11','7']) ).
thf('13',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('14',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'11','7']) ).
thf('15',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(co1,conjecture,
( mvalid
@ ( mand
@ ( mbox_s4
@ ( mimplies
@ ( mexists_ind
@ ^ [U: mu] :
( mexists_ind
@ ^ [V: mu] :
( mexists_ind
@ ^ [W: mu] :
( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] :
( mexists_ind
@ ^ [Z: mu] :
( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] :
( mexists_ind
@ ^ [X3: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ U ) ) @ ( mand @ ( mbox_s4 @ ( city @ U ) ) @ ( mand @ ( mbox_s4 @ ( event @ V ) ) @ ( mand @ ( mbox_s4 @ ( street @ W ) ) @ ( mand @ ( mbox_s4 @ ( way @ W ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ W ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X ) ) @ ( mand @ ( mbox_s4 @ ( car @ X ) ) @ ( mand @ ( mbox_s4 @ ( white @ X ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X ) ) @ ( mand @ ( mbox_s4 @ ( old @ X ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox_s4 @ ( down @ V @ W ) ) @ ( mand @ ( mbox_s4 @ ( in @ V @ U ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Y ) ) @ ( mand @ ( mbox_s4 @ ( man @ Y ) ) @ ( mand @ ( mbox_s4 @ ( young @ Y ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Z ) ) @ ( mand @ ( mbox_s4 @ ( man @ Z ) ) @ ( mand @ ( mbox_s4 @ ( young @ Z ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Y @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X2 @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Z @ X3 ) ) @ ( mbox_s4 @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X4: mu] :
( mexists_ind
@ ^ [X5: mu] :
( mexists_ind
@ ^ [X6: mu] :
( mexists_ind
@ ^ [X7: mu] :
( mexists_ind
@ ^ [X8: mu] :
( mexists_ind
@ ^ [X9: mu] :
( mexists_ind
@ ^ [X10: mu] :
( mexists_ind
@ ^ [X11: mu] :
( mexists_ind
@ ^ [X12: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X5 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X5 @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X5 @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X8 @ X9 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X8 @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X11 @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X9 @ X12 ) ) @ ( mbox_s4 @ ( in @ X12 @ X10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] :
( mexists_ind
@ ^ [X15: mu] :
( mexists_ind
@ ^ [X16: mu] :
( mexists_ind
@ ^ [X17: mu] :
( mexists_ind
@ ^ [X18: mu] :
( mexists_ind
@ ^ [X19: mu] :
( mexists_ind
@ ^ [X20: mu] :
( mexists_ind
@ ^ [X21: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X14 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X14 @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X14 @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X14 @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X17 @ X18 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X17 @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X20 @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X18 @ X21 ) ) @ ( mbox_s4 @ ( in @ X21 @ X19 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X22: mu] :
( mexists_ind
@ ^ [X23: mu] :
( mexists_ind
@ ^ [X24: mu] :
( mexists_ind
@ ^ [X25: mu] :
( mexists_ind
@ ^ [X26: mu] :
( mexists_ind
@ ^ [X27: mu] :
( mexists_ind
@ ^ [X28: mu] :
( mexists_ind
@ ^ [X29: mu] :
( mexists_ind
@ ^ [X30: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X23 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X23 @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X23 @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X26 @ X27 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X26 @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X29 @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X27 @ X30 ) ) @ ( mbox_s4 @ ( in @ X30 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ! [X160: $i] :
( ~ ( rel_s4 @ X4 @ X160 )
| ~ ! [X238: mu] :
( ( exists_in_world @ X238 @ X160 )
=> ! [X240: mu] :
( ( exists_in_world @ X240 @ X160 )
=> ! [X242: mu] :
( ( exists_in_world @ X242 @ X160 )
=> ! [X244: mu] :
( ( exists_in_world @ X244 @ X160 )
=> ! [X246: mu] :
( ( exists_in_world @ X246 @ X160 )
=> ! [X248: mu] :
( ( exists_in_world @ X248 @ X160 )
=> ! [X250: mu] :
( ( exists_in_world @ X250 @ X160 )
=> ! [X252: mu] :
( ( exists_in_world @ X252 @ X160 )
=> ! [X254: mu] :
( ( exists_in_world @ X254 @ X160 )
=> ( ~ ! [X258: $i] :
( ~ ( rel_s4 @ X160 @ X258 )
| ( city @ X238 @ X258 ) )
| ~ ! [X262: $i] :
( ~ ( rel_s4 @ X160 @ X262 )
| ( street @ X242 @ X262 ) )
| ~ ! [X266: $i] :
( ~ ( rel_s4 @ X160 @ X266 )
| ( lonely @ X242 @ X266 ) )
| ~ ! [X270: $i] :
( ~ ( rel_s4 @ X160 @ X270 )
| ( car @ X244 @ X270 ) )
| ~ ! [X274: $i] :
( ~ ( rel_s4 @ X160 @ X274 )
| ( dirty @ X244 @ X274 ) )
| ~ ! [X278: $i] :
( ~ ( rel_s4 @ X160 @ X278 )
| ( barrel @ X240 @ X244 @ X278 ) )
| ~ ! [X282: $i] :
( ~ ( rel_s4 @ X160 @ X282 )
| ( in @ X240 @ X238 @ X282 ) )
| ~ ! [X286: $i] :
( ~ ( rel_s4 @ X160 @ X286 )
| ( furniture @ X250 @ X286 ) )
| ~ ! [X290: $i] :
( ~ ( rel_s4 @ X160 @ X290 )
| ~ ! [X292: $i] :
( ~ ( rel_s4 @ X290 @ X292 )
| ( qmltpeq @ X246 @ X248 @ X292 ) ) )
| ~ ! [X296: $i] :
( ~ ( rel_s4 @ X160 @ X296 )
| ( man @ X246 @ X296 ) )
| ~ ! [X300: $i] :
( ~ ( rel_s4 @ X160 @ X300 )
| ( fellow @ X248 @ X300 ) )
| ~ ! [X304: $i] :
( ~ ( rel_s4 @ X160 @ X304 )
| ( young @ X248 @ X304 ) )
| ~ ! [X308: $i] :
( ~ ( rel_s4 @ X160 @ X308 )
| ( in @ X252 @ X250 @ X308 ) )
| ~ ! [X312: $i] :
( ~ ( rel_s4 @ X160 @ X312 )
| ( in @ X254 @ X250 @ X312 ) )
| ~ ! [X310: $i] :
( ~ ( rel_s4 @ X160 @ X310 )
| ( qmltpeq @ X248 @ X254 @ X310 ) )
| ~ ! [X306: $i] :
( ~ ( rel_s4 @ X160 @ X306 )
| ( qmltpeq @ X246 @ X252 @ X306 ) )
| ~ ! [X302: $i] :
( ~ ( rel_s4 @ X160 @ X302 )
| ( man @ X248 @ X302 ) )
| ~ ! [X298: $i] :
( ~ ( rel_s4 @ X160 @ X298 )
| ( young @ X246 @ X298 ) )
| ~ ! [X294: $i] :
( ~ ( rel_s4 @ X160 @ X294 )
| ( fellow @ X246 @ X294 ) )
| ~ ! [X288: $i] :
( ~ ( rel_s4 @ X160 @ X288 )
| ( front @ X250 @ X288 ) )
| ~ ! [X284: $i] :
( ~ ( rel_s4 @ X160 @ X284 )
| ( seat @ X250 @ X284 ) )
| ~ ! [X280: $i] :
( ~ ( rel_s4 @ X160 @ X280 )
| ( down @ X240 @ X242 @ X280 ) )
| ~ ! [X276: $i] :
( ~ ( rel_s4 @ X160 @ X276 )
| ( old @ X244 @ X276 ) )
| ~ ! [X272: $i] :
( ~ ( rel_s4 @ X160 @ X272 )
| ( white @ X244 @ X272 ) )
| ~ ! [X268: $i] :
( ~ ( rel_s4 @ X160 @ X268 )
| ( chevy @ X244 @ X268 ) )
| ~ ! [X264: $i] :
( ~ ( rel_s4 @ X160 @ X264 )
| ( way @ X242 @ X264 ) )
| ~ ! [X260: $i] :
( ~ ( rel_s4 @ X160 @ X260 )
| ( event @ X240 @ X260 ) )
| ~ ! [X256: $i] :
( ~ ( rel_s4 @ X160 @ X256 )
| ( hollywood @ X238 @ X256 ) ) ) ) ) ) ) ) ) ) ) )
| ! [X162: mu] :
( ( exists_in_world @ X162 @ X160 )
=> ! [X164: mu] :
( ( exists_in_world @ X164 @ X160 )
=> ! [X166: mu] :
( ( exists_in_world @ X166 @ X160 )
=> ! [X168: mu] :
( ( exists_in_world @ X168 @ X160 )
=> ! [X170: mu] :
( ( exists_in_world @ X170 @ X160 )
=> ! [X172: mu] :
( ( exists_in_world @ X172 @ X160 )
=> ! [X174: mu] :
( ( exists_in_world @ X174 @ X160 )
=> ! [X176: mu] :
( ( exists_in_world @ X176 @ X160 )
=> ! [X178: mu] :
( ( exists_in_world @ X178 @ X160 )
=> ( ~ ! [X182: $i] :
( ~ ( rel_s4 @ X160 @ X182 )
| ( city @ X162 @ X182 ) )
| ~ ! [X186: $i] :
( ~ ( rel_s4 @ X160 @ X186 )
| ( chevy @ X166 @ X186 ) )
| ~ ! [X190: $i] :
( ~ ( rel_s4 @ X160 @ X190 )
| ( white @ X166 @ X190 ) )
| ~ ! [X194: $i] :
( ~ ( rel_s4 @ X160 @ X194 )
| ( old @ X166 @ X194 ) )
| ~ ! [X198: $i] :
( ~ ( rel_s4 @ X160 @ X198 )
| ( way @ X168 @ X198 ) )
| ~ ! [X202: $i] :
( ~ ( rel_s4 @ X160 @ X202 )
| ( barrel @ X164 @ X166 @ X202 ) )
| ~ ! [X206: $i] :
( ~ ( rel_s4 @ X160 @ X206 )
| ( in @ X164 @ X162 @ X206 ) )
| ~ ! [X210: $i] :
( ~ ( rel_s4 @ X160 @ X210 )
| ( furniture @ X174 @ X210 ) )
| ~ ! [X214: $i] :
( ~ ( rel_s4 @ X160 @ X214 )
| ~ ! [X216: $i] :
( ~ ( rel_s4 @ X214 @ X216 )
| ( qmltpeq @ X170 @ X172 @ X216 ) ) )
| ~ ! [X220: $i] :
( ~ ( rel_s4 @ X160 @ X220 )
| ( man @ X170 @ X220 ) )
| ~ ! [X224: $i] :
( ~ ( rel_s4 @ X160 @ X224 )
| ( fellow @ X172 @ X224 ) )
| ~ ! [X228: $i] :
( ~ ( rel_s4 @ X160 @ X228 )
| ( young @ X172 @ X228 ) )
| ~ ! [X232: $i] :
( ~ ( rel_s4 @ X160 @ X232 )
| ( in @ X176 @ X174 @ X232 ) )
| ~ ! [X236: $i] :
( ~ ( rel_s4 @ X160 @ X236 )
| ( in @ X178 @ X174 @ X236 ) )
| ~ ! [X234: $i] :
( ~ ( rel_s4 @ X160 @ X234 )
| ( qmltpeq @ X172 @ X178 @ X234 ) )
| ~ ! [X230: $i] :
( ~ ( rel_s4 @ X160 @ X230 )
| ( qmltpeq @ X170 @ X176 @ X230 ) )
| ~ ! [X226: $i] :
( ~ ( rel_s4 @ X160 @ X226 )
| ( man @ X172 @ X226 ) )
| ~ ! [X222: $i] :
( ~ ( rel_s4 @ X160 @ X222 )
| ( young @ X170 @ X222 ) )
| ~ ! [X218: $i] :
( ~ ( rel_s4 @ X160 @ X218 )
| ( fellow @ X170 @ X218 ) )
| ~ ! [X212: $i] :
( ~ ( rel_s4 @ X160 @ X212 )
| ( front @ X174 @ X212 ) )
| ~ ! [X208: $i] :
( ~ ( rel_s4 @ X160 @ X208 )
| ( seat @ X174 @ X208 ) )
| ~ ! [X204: $i] :
( ~ ( rel_s4 @ X160 @ X204 )
| ( down @ X164 @ X168 @ X204 ) )
| ~ ! [X200: $i] :
( ~ ( rel_s4 @ X160 @ X200 )
| ( lonely @ X168 @ X200 ) )
| ~ ! [X196: $i] :
( ~ ( rel_s4 @ X160 @ X196 )
| ( street @ X168 @ X196 ) )
| ~ ! [X192: $i] :
( ~ ( rel_s4 @ X160 @ X192 )
| ( dirty @ X166 @ X192 ) )
| ~ ! [X188: $i] :
( ~ ( rel_s4 @ X160 @ X188 )
| ( car @ X166 @ X188 ) )
| ~ ! [X184: $i] :
( ~ ( rel_s4 @ X160 @ X184 )
| ( event @ X164 @ X184 ) )
| ~ ! [X180: $i] :
( ~ ( rel_s4 @ X160 @ X180 )
| ( hollywood @ X162 @ X180 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ! [X84: mu] :
( ( exists_in_world @ X84 @ X6 )
=> ! [X86: mu] :
( ( exists_in_world @ X86 @ X6 )
=> ! [X88: mu] :
( ( exists_in_world @ X88 @ X6 )
=> ! [X90: mu] :
( ( exists_in_world @ X90 @ X6 )
=> ! [X92: mu] :
( ( exists_in_world @ X92 @ X6 )
=> ! [X94: mu] :
( ( exists_in_world @ X94 @ X6 )
=> ! [X96: mu] :
( ( exists_in_world @ X96 @ X6 )
=> ! [X98: mu] :
( ( exists_in_world @ X98 @ X6 )
=> ! [X100: mu] :
( ( exists_in_world @ X100 @ X6 )
=> ( ~ ! [X104: $i] :
( ~ ( rel_s4 @ X6 @ X104 )
| ( city @ X84 @ X104 ) )
| ~ ! [X108: $i] :
( ~ ( rel_s4 @ X6 @ X108 )
| ( chevy @ X88 @ X108 ) )
| ~ ! [X112: $i] :
( ~ ( rel_s4 @ X6 @ X112 )
| ( white @ X88 @ X112 ) )
| ~ ! [X116: $i] :
( ~ ( rel_s4 @ X6 @ X116 )
| ( old @ X88 @ X116 ) )
| ~ ! [X120: $i] :
( ~ ( rel_s4 @ X6 @ X120 )
| ( way @ X90 @ X120 ) )
| ~ ! [X124: $i] :
( ~ ( rel_s4 @ X6 @ X124 )
| ( barrel @ X86 @ X88 @ X124 ) )
| ~ ! [X128: $i] :
( ~ ( rel_s4 @ X6 @ X128 )
| ( in @ X86 @ X84 @ X128 ) )
| ~ ! [X132: $i] :
( ~ ( rel_s4 @ X6 @ X132 )
| ( furniture @ X96 @ X132 ) )
| ~ ! [X136: $i] :
( ~ ( rel_s4 @ X6 @ X136 )
| ~ ! [X138: $i] :
( ~ ( rel_s4 @ X136 @ X138 )
| ( qmltpeq @ X92 @ X94 @ X138 ) ) )
| ~ ! [X142: $i] :
( ~ ( rel_s4 @ X6 @ X142 )
| ( man @ X92 @ X142 ) )
| ~ ! [X146: $i] :
( ~ ( rel_s4 @ X6 @ X146 )
| ( fellow @ X94 @ X146 ) )
| ~ ! [X150: $i] :
( ~ ( rel_s4 @ X6 @ X150 )
| ( young @ X94 @ X150 ) )
| ~ ! [X154: $i] :
( ~ ( rel_s4 @ X6 @ X154 )
| ( in @ X98 @ X96 @ X154 ) )
| ~ ! [X158: $i] :
( ~ ( rel_s4 @ X6 @ X158 )
| ( in @ X100 @ X96 @ X158 ) )
| ~ ! [X156: $i] :
( ~ ( rel_s4 @ X6 @ X156 )
| ( qmltpeq @ X94 @ X100 @ X156 ) )
| ~ ! [X152: $i] :
( ~ ( rel_s4 @ X6 @ X152 )
| ( qmltpeq @ X92 @ X98 @ X152 ) )
| ~ ! [X148: $i] :
( ~ ( rel_s4 @ X6 @ X148 )
| ( man @ X94 @ X148 ) )
| ~ ! [X144: $i] :
( ~ ( rel_s4 @ X6 @ X144 )
| ( young @ X92 @ X144 ) )
| ~ ! [X140: $i] :
( ~ ( rel_s4 @ X6 @ X140 )
| ( fellow @ X92 @ X140 ) )
| ~ ! [X134: $i] :
( ~ ( rel_s4 @ X6 @ X134 )
| ( front @ X96 @ X134 ) )
| ~ ! [X130: $i] :
( ~ ( rel_s4 @ X6 @ X130 )
| ( seat @ X96 @ X130 ) )
| ~ ! [X126: $i] :
( ~ ( rel_s4 @ X6 @ X126 )
| ( down @ X86 @ X90 @ X126 ) )
| ~ ! [X122: $i] :
( ~ ( rel_s4 @ X6 @ X122 )
| ( lonely @ X90 @ X122 ) )
| ~ ! [X118: $i] :
( ~ ( rel_s4 @ X6 @ X118 )
| ( street @ X90 @ X118 ) )
| ~ ! [X114: $i] :
( ~ ( rel_s4 @ X6 @ X114 )
| ( dirty @ X88 @ X114 ) )
| ~ ! [X110: $i] :
( ~ ( rel_s4 @ X6 @ X110 )
| ( car @ X88 @ X110 ) )
| ~ ! [X106: $i] :
( ~ ( rel_s4 @ X6 @ X106 )
| ( event @ X86 @ X106 ) )
| ~ ! [X102: $i] :
( ~ ( rel_s4 @ X6 @ X102 )
| ( hollywood @ X84 @ X102 ) ) ) ) ) ) ) ) ) ) ) )
| ! [X8: mu] :
( ( exists_in_world @ X8 @ X6 )
=> ! [X10: mu] :
( ( exists_in_world @ X10 @ X6 )
=> ! [X12: mu] :
( ( exists_in_world @ X12 @ X6 )
=> ! [X14: mu] :
( ( exists_in_world @ X14 @ X6 )
=> ! [X16: mu] :
( ( exists_in_world @ X16 @ X6 )
=> ! [X18: mu] :
( ( exists_in_world @ X18 @ X6 )
=> ! [X20: mu] :
( ( exists_in_world @ X20 @ X6 )
=> ! [X22: mu] :
( ( exists_in_world @ X22 @ X6 )
=> ! [X24: mu] :
( ( exists_in_world @ X24 @ X6 )
=> ( ~ ! [X28: $i] :
( ~ ( rel_s4 @ X6 @ X28 )
| ( city @ X8 @ X28 ) )
| ~ ! [X32: $i] :
( ~ ( rel_s4 @ X6 @ X32 )
| ( street @ X12 @ X32 ) )
| ~ ! [X36: $i] :
( ~ ( rel_s4 @ X6 @ X36 )
| ( lonely @ X12 @ X36 ) )
| ~ ! [X40: $i] :
( ~ ( rel_s4 @ X6 @ X40 )
| ( car @ X14 @ X40 ) )
| ~ ! [X44: $i] :
( ~ ( rel_s4 @ X6 @ X44 )
| ( dirty @ X14 @ X44 ) )
| ~ ! [X48: $i] :
( ~ ( rel_s4 @ X6 @ X48 )
| ( barrel @ X10 @ X14 @ X48 ) )
| ~ ! [X52: $i] :
( ~ ( rel_s4 @ X6 @ X52 )
| ( in @ X10 @ X8 @ X52 ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X6 @ X56 )
| ( furniture @ X20 @ X56 ) )
| ~ ! [X60: $i] :
( ~ ( rel_s4 @ X6 @ X60 )
| ~ ! [X62: $i] :
( ~ ( rel_s4 @ X60 @ X62 )
| ( qmltpeq @ X16 @ X18 @ X62 ) ) )
| ~ ! [X66: $i] :
( ~ ( rel_s4 @ X6 @ X66 )
| ( man @ X16 @ X66 ) )
| ~ ! [X70: $i] :
( ~ ( rel_s4 @ X6 @ X70 )
| ( fellow @ X18 @ X70 ) )
| ~ ! [X74: $i] :
( ~ ( rel_s4 @ X6 @ X74 )
| ( young @ X18 @ X74 ) )
| ~ ! [X78: $i] :
( ~ ( rel_s4 @ X6 @ X78 )
| ( in @ X22 @ X20 @ X78 ) )
| ~ ! [X82: $i] :
( ~ ( rel_s4 @ X6 @ X82 )
| ( in @ X24 @ X20 @ X82 ) )
| ~ ! [X80: $i] :
( ~ ( rel_s4 @ X6 @ X80 )
| ( qmltpeq @ X18 @ X24 @ X80 ) )
| ~ ! [X76: $i] :
( ~ ( rel_s4 @ X6 @ X76 )
| ( qmltpeq @ X16 @ X22 @ X76 ) )
| ~ ! [X72: $i] :
( ~ ( rel_s4 @ X6 @ X72 )
| ( man @ X18 @ X72 ) )
| ~ ! [X68: $i] :
( ~ ( rel_s4 @ X6 @ X68 )
| ( young @ X16 @ X68 ) )
| ~ ! [X64: $i] :
( ~ ( rel_s4 @ X6 @ X64 )
| ( fellow @ X16 @ X64 ) )
| ~ ! [X58: $i] :
( ~ ( rel_s4 @ X6 @ X58 )
| ( front @ X20 @ X58 ) )
| ~ ! [X54: $i] :
( ~ ( rel_s4 @ X6 @ X54 )
| ( seat @ X20 @ X54 ) )
| ~ ! [X50: $i] :
( ~ ( rel_s4 @ X6 @ X50 )
| ( down @ X10 @ X12 @ X50 ) )
| ~ ! [X46: $i] :
( ~ ( rel_s4 @ X6 @ X46 )
| ( old @ X14 @ X46 ) )
| ~ ! [X42: $i] :
( ~ ( rel_s4 @ X6 @ X42 )
| ( white @ X14 @ X42 ) )
| ~ ! [X38: $i] :
( ~ ( rel_s4 @ X6 @ X38 )
| ( chevy @ X14 @ X38 ) )
| ~ ! [X34: $i] :
( ~ ( rel_s4 @ X6 @ X34 )
| ( way @ X12 @ X34 ) )
| ~ ! [X30: $i] :
( ~ ( rel_s4 @ X6 @ X30 )
| ( event @ X10 @ X30 ) )
| ~ ! [X26: $i] :
( ~ ( rel_s4 @ X6 @ X26 )
| ( hollywood @ X8 @ X26 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ! [X160: $i] :
( ~ ( rel_s4 @ X4 @ X160 )
| ~ ! [X238: mu] :
( ( exists_in_world @ X238 @ X160 )
=> ! [X240: mu] :
( ( exists_in_world @ X240 @ X160 )
=> ! [X242: mu] :
( ( exists_in_world @ X242 @ X160 )
=> ! [X244: mu] :
( ( exists_in_world @ X244 @ X160 )
=> ! [X246: mu] :
( ( exists_in_world @ X246 @ X160 )
=> ! [X248: mu] :
( ( exists_in_world @ X248 @ X160 )
=> ! [X250: mu] :
( ( exists_in_world @ X250 @ X160 )
=> ! [X252: mu] :
( ( exists_in_world @ X252 @ X160 )
=> ! [X254: mu] :
( ( exists_in_world @ X254 @ X160 )
=> ( ~ ! [X258: $i] :
( ~ ( rel_s4 @ X160 @ X258 )
| ( city @ X238 @ X258 ) )
| ~ ! [X262: $i] :
( ~ ( rel_s4 @ X160 @ X262 )
| ( street @ X242 @ X262 ) )
| ~ ! [X266: $i] :
( ~ ( rel_s4 @ X160 @ X266 )
| ( lonely @ X242 @ X266 ) )
| ~ ! [X270: $i] :
( ~ ( rel_s4 @ X160 @ X270 )
| ( car @ X244 @ X270 ) )
| ~ ! [X274: $i] :
( ~ ( rel_s4 @ X160 @ X274 )
| ( dirty @ X244 @ X274 ) )
| ~ ! [X278: $i] :
( ~ ( rel_s4 @ X160 @ X278 )
| ( barrel @ X240 @ X244 @ X278 ) )
| ~ ! [X282: $i] :
( ~ ( rel_s4 @ X160 @ X282 )
| ( in @ X240 @ X238 @ X282 ) )
| ~ ! [X286: $i] :
( ~ ( rel_s4 @ X160 @ X286 )
| ( furniture @ X250 @ X286 ) )
| ~ ! [X290: $i] :
( ~ ( rel_s4 @ X160 @ X290 )
| ~ ! [X292: $i] :
( ~ ( rel_s4 @ X290 @ X292 )
| ( qmltpeq @ X246 @ X248 @ X292 ) ) )
| ~ ! [X296: $i] :
( ~ ( rel_s4 @ X160 @ X296 )
| ( man @ X246 @ X296 ) )
| ~ ! [X300: $i] :
( ~ ( rel_s4 @ X160 @ X300 )
| ( fellow @ X248 @ X300 ) )
| ~ ! [X304: $i] :
( ~ ( rel_s4 @ X160 @ X304 )
| ( young @ X248 @ X304 ) )
| ~ ! [X308: $i] :
( ~ ( rel_s4 @ X160 @ X308 )
| ( in @ X252 @ X250 @ X308 ) )
| ~ ! [X312: $i] :
( ~ ( rel_s4 @ X160 @ X312 )
| ( in @ X254 @ X250 @ X312 ) )
| ~ ! [X310: $i] :
( ~ ( rel_s4 @ X160 @ X310 )
| ( qmltpeq @ X248 @ X254 @ X310 ) )
| ~ ! [X306: $i] :
( ~ ( rel_s4 @ X160 @ X306 )
| ( qmltpeq @ X246 @ X252 @ X306 ) )
| ~ ! [X302: $i] :
( ~ ( rel_s4 @ X160 @ X302 )
| ( man @ X248 @ X302 ) )
| ~ ! [X298: $i] :
( ~ ( rel_s4 @ X160 @ X298 )
| ( young @ X246 @ X298 ) )
| ~ ! [X294: $i] :
( ~ ( rel_s4 @ X160 @ X294 )
| ( fellow @ X246 @ X294 ) )
| ~ ! [X288: $i] :
( ~ ( rel_s4 @ X160 @ X288 )
| ( front @ X250 @ X288 ) )
| ~ ! [X284: $i] :
( ~ ( rel_s4 @ X160 @ X284 )
| ( seat @ X250 @ X284 ) )
| ~ ! [X280: $i] :
( ~ ( rel_s4 @ X160 @ X280 )
| ( down @ X240 @ X242 @ X280 ) )
| ~ ! [X276: $i] :
( ~ ( rel_s4 @ X160 @ X276 )
| ( old @ X244 @ X276 ) )
| ~ ! [X272: $i] :
( ~ ( rel_s4 @ X160 @ X272 )
| ( white @ X244 @ X272 ) )
| ~ ! [X268: $i] :
( ~ ( rel_s4 @ X160 @ X268 )
| ( chevy @ X244 @ X268 ) )
| ~ ! [X264: $i] :
( ~ ( rel_s4 @ X160 @ X264 )
| ( way @ X242 @ X264 ) )
| ~ ! [X260: $i] :
( ~ ( rel_s4 @ X160 @ X260 )
| ( event @ X240 @ X260 ) )
| ~ ! [X256: $i] :
( ~ ( rel_s4 @ X160 @ X256 )
| ( hollywood @ X238 @ X256 ) ) ) ) ) ) ) ) ) ) ) )
| ! [X162: mu] :
( ( exists_in_world @ X162 @ X160 )
=> ! [X164: mu] :
( ( exists_in_world @ X164 @ X160 )
=> ! [X166: mu] :
( ( exists_in_world @ X166 @ X160 )
=> ! [X168: mu] :
( ( exists_in_world @ X168 @ X160 )
=> ! [X170: mu] :
( ( exists_in_world @ X170 @ X160 )
=> ! [X172: mu] :
( ( exists_in_world @ X172 @ X160 )
=> ! [X174: mu] :
( ( exists_in_world @ X174 @ X160 )
=> ! [X176: mu] :
( ( exists_in_world @ X176 @ X160 )
=> ! [X178: mu] :
( ( exists_in_world @ X178 @ X160 )
=> ( ~ ! [X182: $i] :
( ~ ( rel_s4 @ X160 @ X182 )
| ( city @ X162 @ X182 ) )
| ~ ! [X186: $i] :
( ~ ( rel_s4 @ X160 @ X186 )
| ( chevy @ X166 @ X186 ) )
| ~ ! [X190: $i] :
( ~ ( rel_s4 @ X160 @ X190 )
| ( white @ X166 @ X190 ) )
| ~ ! [X194: $i] :
( ~ ( rel_s4 @ X160 @ X194 )
| ( old @ X166 @ X194 ) )
| ~ ! [X198: $i] :
( ~ ( rel_s4 @ X160 @ X198 )
| ( way @ X168 @ X198 ) )
| ~ ! [X202: $i] :
( ~ ( rel_s4 @ X160 @ X202 )
| ( barrel @ X164 @ X166 @ X202 ) )
| ~ ! [X206: $i] :
( ~ ( rel_s4 @ X160 @ X206 )
| ( in @ X164 @ X162 @ X206 ) )
| ~ ! [X210: $i] :
( ~ ( rel_s4 @ X160 @ X210 )
| ( furniture @ X174 @ X210 ) )
| ~ ! [X214: $i] :
( ~ ( rel_s4 @ X160 @ X214 )
| ~ ! [X216: $i] :
( ~ ( rel_s4 @ X214 @ X216 )
| ( qmltpeq @ X170 @ X172 @ X216 ) ) )
| ~ ! [X220: $i] :
( ~ ( rel_s4 @ X160 @ X220 )
| ( man @ X170 @ X220 ) )
| ~ ! [X224: $i] :
( ~ ( rel_s4 @ X160 @ X224 )
| ( fellow @ X172 @ X224 ) )
| ~ ! [X228: $i] :
( ~ ( rel_s4 @ X160 @ X228 )
| ( young @ X172 @ X228 ) )
| ~ ! [X232: $i] :
( ~ ( rel_s4 @ X160 @ X232 )
| ( in @ X176 @ X174 @ X232 ) )
| ~ ! [X236: $i] :
( ~ ( rel_s4 @ X160 @ X236 )
| ( in @ X178 @ X174 @ X236 ) )
| ~ ! [X234: $i] :
( ~ ( rel_s4 @ X160 @ X234 )
| ( qmltpeq @ X172 @ X178 @ X234 ) )
| ~ ! [X230: $i] :
( ~ ( rel_s4 @ X160 @ X230 )
| ( qmltpeq @ X170 @ X176 @ X230 ) )
| ~ ! [X226: $i] :
( ~ ( rel_s4 @ X160 @ X226 )
| ( man @ X172 @ X226 ) )
| ~ ! [X222: $i] :
( ~ ( rel_s4 @ X160 @ X222 )
| ( young @ X170 @ X222 ) )
| ~ ! [X218: $i] :
( ~ ( rel_s4 @ X160 @ X218 )
| ( fellow @ X170 @ X218 ) )
| ~ ! [X212: $i] :
( ~ ( rel_s4 @ X160 @ X212 )
| ( front @ X174 @ X212 ) )
| ~ ! [X208: $i] :
( ~ ( rel_s4 @ X160 @ X208 )
| ( seat @ X174 @ X208 ) )
| ~ ! [X204: $i] :
( ~ ( rel_s4 @ X160 @ X204 )
| ( down @ X164 @ X168 @ X204 ) )
| ~ ! [X200: $i] :
( ~ ( rel_s4 @ X160 @ X200 )
| ( lonely @ X168 @ X200 ) )
| ~ ! [X196: $i] :
( ~ ( rel_s4 @ X160 @ X196 )
| ( street @ X168 @ X196 ) )
| ~ ! [X192: $i] :
( ~ ( rel_s4 @ X160 @ X192 )
| ( dirty @ X166 @ X192 ) )
| ~ ! [X188: $i] :
( ~ ( rel_s4 @ X160 @ X188 )
| ( car @ X166 @ X188 ) )
| ~ ! [X184: $i] :
( ~ ( rel_s4 @ X160 @ X184 )
| ( event @ X164 @ X184 ) )
| ~ ! [X180: $i] :
( ~ ( rel_s4 @ X160 @ X180 )
| ( hollywood @ X162 @ X180 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ X6 )
| ~ ! [X84: mu] :
( ( exists_in_world @ X84 @ X6 )
=> ! [X86: mu] :
( ( exists_in_world @ X86 @ X6 )
=> ! [X88: mu] :
( ( exists_in_world @ X88 @ X6 )
=> ! [X90: mu] :
( ( exists_in_world @ X90 @ X6 )
=> ! [X92: mu] :
( ( exists_in_world @ X92 @ X6 )
=> ! [X94: mu] :
( ( exists_in_world @ X94 @ X6 )
=> ! [X96: mu] :
( ( exists_in_world @ X96 @ X6 )
=> ! [X98: mu] :
( ( exists_in_world @ X98 @ X6 )
=> ! [X100: mu] :
( ( exists_in_world @ X100 @ X6 )
=> ( ~ ! [X104: $i] :
( ~ ( rel_s4 @ X6 @ X104 )
| ( city @ X84 @ X104 ) )
| ~ ! [X108: $i] :
( ~ ( rel_s4 @ X6 @ X108 )
| ( chevy @ X88 @ X108 ) )
| ~ ! [X112: $i] :
( ~ ( rel_s4 @ X6 @ X112 )
| ( white @ X88 @ X112 ) )
| ~ ! [X116: $i] :
( ~ ( rel_s4 @ X6 @ X116 )
| ( old @ X88 @ X116 ) )
| ~ ! [X120: $i] :
( ~ ( rel_s4 @ X6 @ X120 )
| ( way @ X90 @ X120 ) )
| ~ ! [X124: $i] :
( ~ ( rel_s4 @ X6 @ X124 )
| ( barrel @ X86 @ X88 @ X124 ) )
| ~ ! [X128: $i] :
( ~ ( rel_s4 @ X6 @ X128 )
| ( in @ X86 @ X84 @ X128 ) )
| ~ ! [X132: $i] :
( ~ ( rel_s4 @ X6 @ X132 )
| ( furniture @ X96 @ X132 ) )
| ~ ! [X136: $i] :
( ~ ( rel_s4 @ X6 @ X136 )
| ~ ! [X138: $i] :
( ~ ( rel_s4 @ X136 @ X138 )
| ( qmltpeq @ X92 @ X94 @ X138 ) ) )
| ~ ! [X142: $i] :
( ~ ( rel_s4 @ X6 @ X142 )
| ( man @ X92 @ X142 ) )
| ~ ! [X146: $i] :
( ~ ( rel_s4 @ X6 @ X146 )
| ( fellow @ X94 @ X146 ) )
| ~ ! [X150: $i] :
( ~ ( rel_s4 @ X6 @ X150 )
| ( young @ X94 @ X150 ) )
| ~ ! [X154: $i] :
( ~ ( rel_s4 @ X6 @ X154 )
| ( in @ X98 @ X96 @ X154 ) )
| ~ ! [X158: $i] :
( ~ ( rel_s4 @ X6 @ X158 )
| ( in @ X100 @ X96 @ X158 ) )
| ~ ! [X156: $i] :
( ~ ( rel_s4 @ X6 @ X156 )
| ( qmltpeq @ X94 @ X100 @ X156 ) )
| ~ ! [X152: $i] :
( ~ ( rel_s4 @ X6 @ X152 )
| ( qmltpeq @ X92 @ X98 @ X152 ) )
| ~ ! [X148: $i] :
( ~ ( rel_s4 @ X6 @ X148 )
| ( man @ X94 @ X148 ) )
| ~ ! [X144: $i] :
( ~ ( rel_s4 @ X6 @ X144 )
| ( young @ X92 @ X144 ) )
| ~ ! [X140: $i] :
( ~ ( rel_s4 @ X6 @ X140 )
| ( fellow @ X92 @ X140 ) )
| ~ ! [X134: $i] :
( ~ ( rel_s4 @ X6 @ X134 )
| ( front @ X96 @ X134 ) )
| ~ ! [X130: $i] :
( ~ ( rel_s4 @ X6 @ X130 )
| ( seat @ X96 @ X130 ) )
| ~ ! [X126: $i] :
( ~ ( rel_s4 @ X6 @ X126 )
| ( down @ X86 @ X90 @ X126 ) )
| ~ ! [X122: $i] :
( ~ ( rel_s4 @ X6 @ X122 )
| ( lonely @ X90 @ X122 ) )
| ~ ! [X118: $i] :
( ~ ( rel_s4 @ X6 @ X118 )
| ( street @ X90 @ X118 ) )
| ~ ! [X114: $i] :
( ~ ( rel_s4 @ X6 @ X114 )
| ( dirty @ X88 @ X114 ) )
| ~ ! [X110: $i] :
( ~ ( rel_s4 @ X6 @ X110 )
| ( car @ X88 @ X110 ) )
| ~ ! [X106: $i] :
( ~ ( rel_s4 @ X6 @ X106 )
| ( event @ X86 @ X106 ) )
| ~ ! [X102: $i] :
( ~ ( rel_s4 @ X6 @ X102 )
| ( hollywood @ X84 @ X102 ) ) ) ) ) ) ) ) ) ) ) )
| ! [X8: mu] :
( ( exists_in_world @ X8 @ X6 )
=> ! [X10: mu] :
( ( exists_in_world @ X10 @ X6 )
=> ! [X12: mu] :
( ( exists_in_world @ X12 @ X6 )
=> ! [X14: mu] :
( ( exists_in_world @ X14 @ X6 )
=> ! [X16: mu] :
( ( exists_in_world @ X16 @ X6 )
=> ! [X18: mu] :
( ( exists_in_world @ X18 @ X6 )
=> ! [X20: mu] :
( ( exists_in_world @ X20 @ X6 )
=> ! [X22: mu] :
( ( exists_in_world @ X22 @ X6 )
=> ! [X24: mu] :
( ( exists_in_world @ X24 @ X6 )
=> ( ~ ! [X28: $i] :
( ~ ( rel_s4 @ X6 @ X28 )
| ( city @ X8 @ X28 ) )
| ~ ! [X32: $i] :
( ~ ( rel_s4 @ X6 @ X32 )
| ( street @ X12 @ X32 ) )
| ~ ! [X36: $i] :
( ~ ( rel_s4 @ X6 @ X36 )
| ( lonely @ X12 @ X36 ) )
| ~ ! [X40: $i] :
( ~ ( rel_s4 @ X6 @ X40 )
| ( car @ X14 @ X40 ) )
| ~ ! [X44: $i] :
( ~ ( rel_s4 @ X6 @ X44 )
| ( dirty @ X14 @ X44 ) )
| ~ ! [X48: $i] :
( ~ ( rel_s4 @ X6 @ X48 )
| ( barrel @ X10 @ X14 @ X48 ) )
| ~ ! [X52: $i] :
( ~ ( rel_s4 @ X6 @ X52 )
| ( in @ X10 @ X8 @ X52 ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X6 @ X56 )
| ( furniture @ X20 @ X56 ) )
| ~ ! [X60: $i] :
( ~ ( rel_s4 @ X6 @ X60 )
| ~ ! [X62: $i] :
( ~ ( rel_s4 @ X60 @ X62 )
| ( qmltpeq @ X16 @ X18 @ X62 ) ) )
| ~ ! [X66: $i] :
( ~ ( rel_s4 @ X6 @ X66 )
| ( man @ X16 @ X66 ) )
| ~ ! [X70: $i] :
( ~ ( rel_s4 @ X6 @ X70 )
| ( fellow @ X18 @ X70 ) )
| ~ ! [X74: $i] :
( ~ ( rel_s4 @ X6 @ X74 )
| ( young @ X18 @ X74 ) )
| ~ ! [X78: $i] :
( ~ ( rel_s4 @ X6 @ X78 )
| ( in @ X22 @ X20 @ X78 ) )
| ~ ! [X82: $i] :
( ~ ( rel_s4 @ X6 @ X82 )
| ( in @ X24 @ X20 @ X82 ) )
| ~ ! [X80: $i] :
( ~ ( rel_s4 @ X6 @ X80 )
| ( qmltpeq @ X18 @ X24 @ X80 ) )
| ~ ! [X76: $i] :
( ~ ( rel_s4 @ X6 @ X76 )
| ( qmltpeq @ X16 @ X22 @ X76 ) )
| ~ ! [X72: $i] :
( ~ ( rel_s4 @ X6 @ X72 )
| ( man @ X18 @ X72 ) )
| ~ ! [X68: $i] :
( ~ ( rel_s4 @ X6 @ X68 )
| ( young @ X16 @ X68 ) )
| ~ ! [X64: $i] :
( ~ ( rel_s4 @ X6 @ X64 )
| ( fellow @ X16 @ X64 ) )
| ~ ! [X58: $i] :
( ~ ( rel_s4 @ X6 @ X58 )
| ( front @ X20 @ X58 ) )
| ~ ! [X54: $i] :
( ~ ( rel_s4 @ X6 @ X54 )
| ( seat @ X20 @ X54 ) )
| ~ ! [X50: $i] :
( ~ ( rel_s4 @ X6 @ X50 )
| ( down @ X10 @ X12 @ X50 ) )
| ~ ! [X46: $i] :
( ~ ( rel_s4 @ X6 @ X46 )
| ( old @ X14 @ X46 ) )
| ~ ! [X42: $i] :
( ~ ( rel_s4 @ X6 @ X42 )
| ( white @ X14 @ X42 ) )
| ~ ! [X38: $i] :
( ~ ( rel_s4 @ X6 @ X38 )
| ( chevy @ X14 @ X38 ) )
| ~ ! [X34: $i] :
( ~ ( rel_s4 @ X6 @ X34 )
| ( way @ X12 @ X34 ) )
| ~ ! [X30: $i] :
( ~ ( rel_s4 @ X6 @ X30 )
| ( event @ X10 @ X30 ) )
| ~ ! [X26: $i] :
( ~ ( rel_s4 @ X6 @ X26 )
| ( hollywood @ X8 @ X26 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y1 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y1 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y1 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y1 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y1 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y1 )
=> ( !!
@ ^ [Y10: mu] :
( ( exists_in_world @ Y10 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y1 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y1 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y1 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y1 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y1 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y1 )
=> ( !!
@ ^ [Y10: mu] :
( ( exists_in_world @ Y10 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( chevy @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( white @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( old @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( way @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( barrel @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( down @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( lonely @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( street @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( dirty @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( car @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y1 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y1 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y1 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y1 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y1 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y1 )
=> ( !!
@ ^ [Y10: mu] :
( ( exists_in_world @ Y10 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( chevy @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( white @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( old @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( way @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( barrel @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( down @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( lonely @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( street @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( dirty @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( car @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y1 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y1 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y1 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y1 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y1 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y1 )
=> ( !!
@ ^ [Y10: mu] :
( ( exists_in_world @ Y10 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk2' ) )
| ( (~)
@ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl4,plain,
( ( rel_s4 @ '#sk1' @ '#sk2' )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl10,plain,
( ~ '#form3'
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: mu] :
( ( ( exists_in_world @ X2 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: mu] :
( ~ ( exists_in_world @ X2 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
! [X2: mu,X4: mu] :
( ( ( exists_in_world @ X4 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ X4 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ X4 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ X4 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: mu,X4: mu] :
( ~ ( exists_in_world @ X4 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ X4 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ X4 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ X4 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
! [X2: mu,X4: mu,X6: mu] :
( ( ( exists_in_world @ X6 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ X4 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ X4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ X4 @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl39,plain,
! [X2: mu,X4: mu,X6: mu] :
( ~ ( exists_in_world @ X6 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ X4 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ X4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ X4 @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl45,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu] :
( ( ( exists_in_world @ X8 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ X4 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ X4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ X4 @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl49,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu] :
( ~ ( exists_in_world @ X8 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ X4 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ X4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ X4 @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl55,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
( ( ( exists_in_world @ X10 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ X4 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ X4 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ X10 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ X4 @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl59,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
( ~ ( exists_in_world @ X10 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ X4 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ X4 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ X10 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ X4 @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl65,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
( ( ( exists_in_world @ X12 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ X4 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ X4 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X12 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X10 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ X4 @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl69,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
( ~ ( exists_in_world @ X12 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ X4 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ X4 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X12 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X10 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ X4 @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl75,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
( ( ( exists_in_world @ X14 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ X4 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ X4 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X12 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X10 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ X4 @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl79,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
( ~ ( exists_in_world @ X14 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ X4 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ X4 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X12 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X10 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ X4 @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl85,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
( ( ( exists_in_world @ X16 @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ X4 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X4 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X16 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X12 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X10 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ X4 @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ X2 @ Y1 ) ) ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl89,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
( ~ ( exists_in_world @ X16 @ '#sk2' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ X4 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X4 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X16 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X12 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X10 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ X4 @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ X2 @ Y1 ) ) ) ) ) ) )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl95,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( ( exists_in_world @ X18 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl99,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( exists_in_world @ X18 @ '#sk2' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl105,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl163,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) ) )
| ( city @ X2 @ ( '#sk23' @ X2 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl222,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl282,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl282_001,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl289,plain,
! [X2: mu] :
( ( '#form29' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl291,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl282,zip_derived_cl289]) ).
thf(zip_derived_cl221,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl281,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl287,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl281]) ).
thf(zip_derived_cl301,plain,
! [X6: mu] :
( ( '#form33' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl305,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl291,zip_derived_cl301]) ).
thf(zip_derived_cl305_002,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl291,zip_derived_cl301]) ).
thf(zip_derived_cl319,plain,
! [X4: mu] :
( ( '#form37' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl321,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl305,zip_derived_cl319]) ).
thf(zip_derived_cl287_003,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl281]) ).
thf(zip_derived_cl301_004,plain,
! [X6: mu] :
( ( '#form33' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl303,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl287,zip_derived_cl301]) ).
thf(zip_derived_cl289_005,plain,
! [X2: mu] :
( ( '#form29' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl315,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl303,zip_derived_cl289]) ).
thf(zip_derived_cl329,plain,
! [X8: mu] :
( ( '#form41' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl333,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl321,zip_derived_cl329]) ).
thf(zip_derived_cl333_006,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl321,zip_derived_cl329]) ).
thf(zip_derived_cl347,plain,
! [X6: mu] :
( ( '#form45' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl349,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl333,zip_derived_cl347]) ).
thf(zip_derived_cl315_007,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl303,zip_derived_cl289]) ).
thf(zip_derived_cl329_008,plain,
! [X8: mu] :
( ( '#form41' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl331,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl315,zip_derived_cl329]) ).
thf(zip_derived_cl319_009,plain,
! [X4: mu] :
( ( '#form37' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl343,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl331,zip_derived_cl319]) ).
thf(zip_derived_cl357,plain,
! [X8: mu] :
( ( '#form49' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl361,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl349,zip_derived_cl357]) ).
thf(zip_derived_cl361_010,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl349,zip_derived_cl357]) ).
thf(zip_derived_cl375,plain,
! [X8: mu] :
( ( '#form53' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl377,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl361,zip_derived_cl375]) ).
thf(zip_derived_cl343_011,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl331,zip_derived_cl319]) ).
thf(zip_derived_cl357_012,plain,
! [X8: mu] :
( ( '#form49' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl359,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl343,zip_derived_cl357]) ).
thf(zip_derived_cl347_013,plain,
! [X6: mu] :
( ( '#form45' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl371,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl359,zip_derived_cl347]) ).
thf(zip_derived_cl385,plain,
! [X4: mu,X8: mu] :
( ( '#form57' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl389,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl377,zip_derived_cl385]) ).
thf(zip_derived_cl389_014,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl377,zip_derived_cl385]) ).
thf(zip_derived_cl403,plain,
! [X8: mu] :
( ( '#form61' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl405,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl389,zip_derived_cl403]) ).
thf(zip_derived_cl371_015,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl359,zip_derived_cl347]) ).
thf(zip_derived_cl385_016,plain,
! [X4: mu,X8: mu] :
( ( '#form57' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl387,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl371,zip_derived_cl385]) ).
thf(zip_derived_cl375_017,plain,
! [X8: mu] :
( ( '#form53' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl399,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl387,zip_derived_cl375]) ).
thf(zip_derived_cl413,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl417,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl405,zip_derived_cl413]) ).
thf(zip_derived_cl417_018,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl405,zip_derived_cl413]) ).
thf(zip_derived_cl431,plain,
! [X8: mu] :
( ( '#form69' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl433,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl417,zip_derived_cl431]) ).
thf(zip_derived_cl399_019,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl387,zip_derived_cl375]) ).
thf(zip_derived_cl413_020,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl415,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl399,zip_derived_cl413]) ).
thf(zip_derived_cl403_021,plain,
! [X8: mu] :
( ( '#form61' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl427,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl415,zip_derived_cl403]) ).
thf(zip_derived_cl441,plain,
! [X14: mu] :
( ( '#form73' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl445,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl433,zip_derived_cl441]) ).
thf(zip_derived_cl445_022,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl433,zip_derived_cl441]) ).
thf(zip_derived_cl459,plain,
! [X4: mu,X6: mu] :
( ( '#form77' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl461,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl445,zip_derived_cl459]) ).
thf(zip_derived_cl427_023,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl415,zip_derived_cl403]) ).
thf(zip_derived_cl441_024,plain,
! [X14: mu] :
( ( '#form73' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl443,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl427,zip_derived_cl441]) ).
thf(zip_derived_cl431_025,plain,
! [X8: mu] :
( ( '#form69' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl455,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl443,zip_derived_cl431]) ).
thf(zip_derived_cl469,plain,
! [X10: mu,X12: mu] :
( ( '#form81' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl473,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl461,zip_derived_cl469]) ).
thf(zip_derived_cl473_026,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl461,zip_derived_cl469]) ).
thf(zip_derived_cl487,plain,
! [X14: mu] :
( ( '#form85' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl489,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl473,zip_derived_cl487]) ).
thf(zip_derived_cl455_027,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl443,zip_derived_cl431]) ).
thf(zip_derived_cl469_028,plain,
! [X10: mu,X12: mu] :
( ( '#form81' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl471,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl455,zip_derived_cl469]) ).
thf(zip_derived_cl459_029,plain,
! [X4: mu,X6: mu] :
( ( '#form77' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl483,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl471,zip_derived_cl459]) ).
thf(zip_derived_cl497,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl502,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl489,zip_derived_cl497]) ).
thf(zip_derived_cl502_030,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl489,zip_derived_cl497]) ).
thf(zip_derived_cl518,plain,
! [X14: mu] :
( ( '#form93' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl520,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl502,zip_derived_cl518]) ).
thf(zip_derived_cl483_031,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl471,zip_derived_cl459]) ).
thf(zip_derived_cl497_032,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl499,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl483,zip_derived_cl497]) ).
thf(zip_derived_cl487_033,plain,
! [X14: mu] :
( ( '#form85' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl513,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl499,zip_derived_cl487]) ).
thf(zip_derived_cl529,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl533,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl520,zip_derived_cl529]) ).
thf(zip_derived_cl529_034,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl547,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl533,zip_derived_cl529]) ).
thf(zip_derived_cl513_035,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl499,zip_derived_cl487]) ).
thf(zip_derived_cl529_036,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl531,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl513,zip_derived_cl529]) ).
thf(zip_derived_cl518_037,plain,
! [X14: mu] :
( ( '#form93' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl543,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl531,zip_derived_cl518]) ).
thf(zip_derived_cl553,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl557,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl547,zip_derived_cl553]) ).
thf(zip_derived_cl553_038,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl567,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl557,zip_derived_cl553]) ).
thf(zip_derived_cl413_039,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl575,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl567,zip_derived_cl413]) ).
thf(zip_derived_cl497_040,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl581,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl575,zip_derived_cl497]) ).
thf(zip_derived_cl413_041,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl587,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form89' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl581,zip_derived_cl413]) ).
thf(zip_derived_cl587_042,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form89' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl581,zip_derived_cl413]) ).
thf(zip_derived_cl593,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl595,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X10 @ X16 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl587,zip_derived_cl593]) ).
thf(zip_derived_cl593_043,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl603,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X12 @ X18 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) ) )
| ( street @ X6 @ ( '#sk25' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form105' @ X10 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl595,zip_derived_cl593]) ).
thf(zip_derived_cl614,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form105' @ X10 @ X16 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form105' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl603]) ).
thf(zip_derived_cl459_044,plain,
! [X4: mu,X6: mu] :
( ( '#form77' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl460,plain,
! [X4: mu,X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk78' @ X4 @ X6 ) ) )
| ( down @ X4 @ X6 @ ( '#sk78' @ X4 @ X6 ) ) )
| ( '#form77' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl459]) ).
thf(zip_derived_cl474,plain,
! [X4: mu,X6: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk78' @ X4 @ X6 ) )
| ( '#form77' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl460]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_045,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11,plain,
( ~ '#form3'
| ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
( ~ ( ( exists_in_world @ '#sk5' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
( ~ ( ( exists_in_world @ '#sk7' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ '#sk7' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ '#sk7' @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ '#sk7' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ '#sk7' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ '#sk7' @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ '#sk7' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl36,plain,
( ~ ( ( exists_in_world @ '#sk9' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ '#sk7' @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ '#sk7' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl41,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ '#sk7' @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ '#sk7' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl46,plain,
( ~ ( ( exists_in_world @ '#sk11' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ '#sk7' @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ '#sk7' @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl50,plain,
( ( exists_in_world @ '#sk11' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl51,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ '#sk7' @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ '#sk7' @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl56,plain,
( ~ ( ( exists_in_world @ '#sk13' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ '#sk7' @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk13' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ '#sk13' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ '#sk7' @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl61,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ '#sk7' @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk13' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ '#sk13' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ '#sk7' @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl66,plain,
( ~ ( ( exists_in_world @ '#sk15' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ '#sk7' @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk15' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk13' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ '#sk7' @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl71,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ '#sk7' @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk15' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk13' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ '#sk7' @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl76,plain,
( ~ ( ( exists_in_world @ '#sk17' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ '#sk7' @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk15' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk13' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ '#sk7' @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl81,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ '#sk7' @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk15' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk13' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ '#sk7' @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ '#sk5' @ Y2 ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl86,plain,
( ~ ( ( exists_in_world @ '#sk19' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk7' @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk19' @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ '#sk7' @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ '#sk5' @ Y1 ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl91,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk7' @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk19' @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ '#sk7' @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ '#sk5' @ Y1 ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl96,plain,
( ~ ( ( exists_in_world @ '#sk21' @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk7' @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk19' @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk7' @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk5' @ Y0 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl101,plain,
( ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk7' @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk19' @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk7' @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk5' @ Y0 ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl128,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl186,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( lonely @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl245,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( lonely @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl301_046,plain,
! [X6: mu] :
( ( '#form33' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl302,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk34' @ X6 ) ) )
| ( lonely @ X6 @ ( '#sk34' @ X6 ) ) )
| ( '#form33' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl317,plain,
! [X6: mu] :
( ~ ( lonely @ X6 @ ( '#sk34' @ X6 ) )
| ( '#form33' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl835,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk34' @ '#sk11' ) )
| ( '#form33' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl317]) ).
thf(zip_derived_cl316,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk34' @ X6 ) )
| ( '#form33' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl879,plain,
( ( '#form33' @ '#sk11' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl835,zip_derived_cl316]) ).
thf(zip_derived_cl110,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl168,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( way @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl227,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( way @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl347_047,plain,
! [X6: mu] :
( ( '#form45' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl348,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk46' @ X6 ) ) )
| ( way @ X6 @ ( '#sk46' @ X6 ) ) )
| ( '#form45' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl363,plain,
! [X6: mu] :
( ~ ( way @ X6 @ ( '#sk46' @ X6 ) )
| ( '#form45' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl652,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk46' @ '#sk11' ) )
| ( '#form45' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl363]) ).
thf(zip_derived_cl362,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk46' @ X6 ) )
| ( '#form45' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl659,plain,
( ( '#form45' @ '#sk11' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl652,zip_derived_cl362]) ).
thf(zip_derived_cl90,plain,
( ( exists_in_world @ '#sk19' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl129,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl187,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( street @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl246,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( street @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl288,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl281]) ).
thf(zip_derived_cl301_048,plain,
! [X6: mu] :
( ( '#form33' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl304,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl288,zip_derived_cl301]) ).
thf(zip_derived_cl289_049,plain,
! [X2: mu] :
( ( '#form29' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl318,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl304,zip_derived_cl289]) ).
thf(zip_derived_cl329_050,plain,
! [X8: mu] :
( ( '#form41' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl332,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl318,zip_derived_cl329]) ).
thf(zip_derived_cl319_051,plain,
! [X4: mu] :
( ( '#form37' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl346,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl332,zip_derived_cl319]) ).
thf(zip_derived_cl357_052,plain,
! [X8: mu] :
( ( '#form49' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl360,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl346,zip_derived_cl357]) ).
thf(zip_derived_cl347_053,plain,
! [X6: mu] :
( ( '#form45' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl374,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl360,zip_derived_cl347]) ).
thf(zip_derived_cl385_054,plain,
! [X4: mu,X8: mu] :
( ( '#form57' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl388,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl374,zip_derived_cl385]) ).
thf(zip_derived_cl375_055,plain,
! [X8: mu] :
( ( '#form53' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl402,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl388,zip_derived_cl375]) ).
thf(zip_derived_cl413_056,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl416,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl402,zip_derived_cl413]) ).
thf(zip_derived_cl403_057,plain,
! [X8: mu] :
( ( '#form61' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl430,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl416,zip_derived_cl403]) ).
thf(zip_derived_cl441_058,plain,
! [X14: mu] :
( ( '#form73' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl444,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl430,zip_derived_cl441]) ).
thf(zip_derived_cl431_059,plain,
! [X8: mu] :
( ( '#form69' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl458,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl444,zip_derived_cl431]) ).
thf(zip_derived_cl469_060,plain,
! [X10: mu,X12: mu] :
( ( '#form81' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl472,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl458,zip_derived_cl469]) ).
thf(zip_derived_cl459_061,plain,
! [X4: mu,X6: mu] :
( ( '#form77' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl486,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl472,zip_derived_cl459]) ).
thf(zip_derived_cl497_062,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl501,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl486,zip_derived_cl497]) ).
thf(zip_derived_cl487_063,plain,
! [X14: mu] :
( ( '#form85' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl517,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl501,zip_derived_cl487]) ).
thf(zip_derived_cl529_064,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl532,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl517,zip_derived_cl529]) ).
thf(zip_derived_cl518_065,plain,
! [X14: mu] :
( ( '#form93' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl546,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl532,zip_derived_cl518]) ).
thf(zip_derived_cl553_066,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl556,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl546,zip_derived_cl553]) ).
thf(zip_derived_cl529_067,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl566,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl556,zip_derived_cl529]) ).
thf(zip_derived_cl413_068,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl574,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl566,zip_derived_cl413]) ).
thf(zip_derived_cl553_069,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl580,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl574,zip_derived_cl553]) ).
thf(zip_derived_cl413_070,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl586,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl580,zip_derived_cl413]) ).
thf(zip_derived_cl497_071,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl592,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl586,zip_derived_cl497]) ).
thf(zip_derived_cl593_072,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl602,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X12 @ X18 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form89' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl592,zip_derived_cl593]) ).
thf(zip_derived_cl593_073,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl612,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X10 @ X16 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( street @ X6 @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form105' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl602,zip_derived_cl593]) ).
thf(zip_derived_cl127,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk7' @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl185,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( down @ '#sk7' @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl244,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( down @ '#sk7' @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl475,plain,
! [X4: mu,X6: mu] :
( ~ ( down @ X4 @ X6 @ ( '#sk78' @ X4 @ X6 ) )
| ( '#form77' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl460]) ).
thf(zip_derived_cl70,plain,
( ( exists_in_world @ '#sk15' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl60,plain,
( ( exists_in_world @ '#sk13' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl122,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl180,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( man @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl239,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( man @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl497_074,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl498,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk90' @ X10 ) ) )
| ( man @ X10 @ ( '#sk90' @ X10 ) ) )
| ( '#form89' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl497]) ).
thf(zip_derived_cl515,plain,
! [X10: mu] :
( ~ ( man @ X10 @ ( '#sk90' @ X10 ) )
| ( '#form89' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl498]) ).
thf(zip_derived_cl752,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk90' @ '#sk15' ) )
| ( '#form89' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl239,zip_derived_cl515]) ).
thf(zip_derived_cl514,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk90' @ X10 ) )
| ( '#form89' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl498]) ).
thf(zip_derived_cl759,plain,
( ( '#form89' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl752,zip_derived_cl514]) ).
thf(zip_derived_cl115,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl173,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( man @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl232,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( man @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl515_075,plain,
! [X10: mu] :
( ~ ( man @ X10 @ ( '#sk90' @ X10 ) )
| ( '#form89' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl498]) ).
thf(zip_derived_cl710,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk90' @ '#sk13' ) )
| ( '#form89' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl515]) ).
thf(zip_derived_cl514_076,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk90' @ X10 ) )
| ( '#form89' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl498]) ).
thf(zip_derived_cl717,plain,
( ( '#form89' @ '#sk13' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl710,zip_derived_cl514]) ).
thf(zip_derived_cl116,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl174,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( fellow @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl233,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( fellow @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl529_077,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl530,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) ) )
| ( fellow @ X12 @ ( '#sk98' @ X12 ) ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl529]) ).
thf(zip_derived_cl545,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl720,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk98' @ '#sk15' ) )
| ( '#form97' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl545]) ).
thf(zip_derived_cl544,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl735,plain,
( ( '#form97' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl720,zip_derived_cl544]) ).
thf(zip_derived_cl124,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl182,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( fellow @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl241,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( fellow @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl545_078,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl788,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk98' @ '#sk13' ) )
| ( '#form97' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl545]) ).
thf(zip_derived_cl544_079,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl795,plain,
( ( '#form97' @ '#sk13' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl788,zip_derived_cl544]) ).
thf(zip_derived_cl117,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl175,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( young @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl234,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( young @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl553_080,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl554,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk102' @ X12 ) ) )
| ( young @ X12 @ ( '#sk102' @ X12 ) ) )
| ( '#form101' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl553]) ).
thf(zip_derived_cl565,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk102' @ X12 ) )
| ( '#form101' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl554]) ).
thf(zip_derived_cl740,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk102' @ '#sk15' ) )
| ( '#form101' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl565]) ).
thf(zip_derived_cl564,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk102' @ X12 ) )
| ( '#form101' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl554]) ).
thf(zip_derived_cl747,plain,
( ( '#form101' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl740,zip_derived_cl564]) ).
thf(zip_derived_cl123,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl181,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( young @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl240,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( young @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl565_081,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk102' @ X12 ) )
| ( '#form101' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl554]) ).
thf(zip_derived_cl770,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk102' @ '#sk13' ) )
| ( '#form101' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl565]) ).
thf(zip_derived_cl564_082,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk102' @ X12 ) )
| ( '#form101' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl554]) ).
thf(zip_derived_cl777,plain,
( ( '#form101' @ '#sk13' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl770,zip_derived_cl564]) ).
thf(zip_derived_cl593_083,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl594,plain,
! [X10: mu,X16: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk106' @ X10 @ X16 ) ) )
| ( qmltpeq @ X10 @ X16 @ ( '#sk106' @ X10 @ X16 ) ) )
| ( '#form105' @ X10 @ X16 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl593]) ).
thf(zip_derived_cl604,plain,
! [X10: mu,X16: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk106' @ X10 @ X16 ) )
| ( '#form105' @ X10 @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl100,plain,
( ( exists_in_world @ '#sk21' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl80,plain,
( ( exists_in_world @ '#sk17' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl113,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl171,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( furniture @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl230,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( furniture @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl441_084,plain,
! [X14: mu] :
( ( '#form73' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl442,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk74' @ X14 ) ) )
| ( furniture @ X14 @ ( '#sk74' @ X14 ) ) )
| ( '#form73' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl457,plain,
! [X14: mu] :
( ~ ( furniture @ X14 @ ( '#sk74' @ X14 ) )
| ( '#form73' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl664,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk74' @ '#sk17' ) )
| ( '#form73' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl457]) ).
thf(zip_derived_cl456,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk74' @ X14 ) )
| ( '#form73' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl671,plain,
( ( '#form73' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl664,zip_derived_cl456]) ).
thf(zip_derived_cl126,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl184,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( seat @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl243,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( seat @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl487_085,plain,
! [X14: mu] :
( ( '#form85' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl488,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk86' @ X14 ) ) )
| ( seat @ X14 @ ( '#sk86' @ X14 ) ) )
| ( '#form85' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl504,plain,
! [X14: mu] :
( ~ ( seat @ X14 @ ( '#sk86' @ X14 ) )
| ( '#form85' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl821,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk86' @ '#sk17' ) )
| ( '#form85' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl504]) ).
thf(zip_derived_cl503,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk86' @ X14 ) )
| ( '#form85' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl831,plain,
( ( '#form85' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl821,zip_derived_cl503]) ).
thf(zip_derived_cl125,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl183,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( front @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl242,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( front @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl518_086,plain,
! [X14: mu] :
( ( '#form93' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl519,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk94' @ X14 ) ) )
| ( front @ X14 @ ( '#sk94' @ X14 ) ) )
| ( '#form93' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl518]) ).
thf(zip_derived_cl535,plain,
! [X14: mu] :
( ~ ( front @ X14 @ ( '#sk94' @ X14 ) )
| ( '#form93' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl519]) ).
thf(zip_derived_cl812,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk94' @ '#sk17' ) )
| ( '#form93' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl535]) ).
thf(zip_derived_cl534,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk94' @ X14 ) )
| ( '#form93' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl519]) ).
thf(zip_derived_cl819,plain,
( ( '#form93' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl812,zip_derived_cl534]) ).
thf(zip_derived_cl118,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk19' @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl176,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk19' @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl235,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk19' @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl121,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl179,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( qmltpeq @ '#sk13' @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl238,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( qmltpeq @ '#sk13' @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl469_087,plain,
! [X10: mu,X12: mu] :
( ( '#form81' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl470,plain,
! [X10: mu,X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk82' @ X10 @ X12 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk82' @ X10 @ X12 ) @ Y0 ) )
| ( qmltpeq @ X10 @ X12 @ Y0 ) ) ) ) )
| ( '#form81' @ X10 @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl469]) ).
thf(zip_derived_cl484,plain,
! [X10: mu,X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk82' @ X10 @ X12 ) )
| ( '#form81' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl470]) ).
thf(zip_derived_cl114,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y1 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl172,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y0 ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl231,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl283,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X2 @ ( '#sk26' @ X2 ) ) )
| ( qmltpeq @ '#sk13' @ '#sk15' @ ( '#sk26' @ X2 ) ) )
| ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl293,plain,
! [X2: $i] :
( ~ ( qmltpeq @ '#sk13' @ '#sk15' @ ( '#sk26' @ X2 ) )
| ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl40,plain,
( ( exists_in_world @ '#sk9' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl30,plain,
( ( exists_in_world @ '#sk7' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl132,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk7' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl190,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( event @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl249,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( event @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl319_088,plain,
! [X4: mu] :
( ( '#form37' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl320,plain,
! [X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk38' @ X4 ) ) )
| ( event @ X4 @ ( '#sk38' @ X4 ) ) )
| ( '#form37' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl319]) ).
thf(zip_derived_cl335,plain,
! [X4: mu] :
( ~ ( event @ X4 @ ( '#sk38' @ X4 ) )
| ( '#form37' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl863,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk38' @ '#sk7' ) )
| ( '#form37' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl335]) ).
thf(zip_derived_cl334,plain,
! [X4: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk38' @ X4 ) )
| ( '#form37' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl1811,plain,
( ( '#form37' @ '#sk7' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl863,zip_derived_cl334]) ).
thf(zip_derived_cl131,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl189,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( car @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl248,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( car @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl329_089,plain,
! [X8: mu] :
( ( '#form41' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl330,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk42' @ X8 ) ) )
| ( car @ X8 @ ( '#sk42' @ X8 ) ) )
| ( '#form41' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl329]) ).
thf(zip_derived_cl345,plain,
! [X8: mu] :
( ~ ( car @ X8 @ ( '#sk42' @ X8 ) )
| ( '#form41' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl855,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk42' @ '#sk9' ) )
| ( '#form41' @ '#sk9' ) ),
inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl345]) ).
thf(zip_derived_cl344,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk42' @ X8 ) )
| ( '#form41' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl1447,plain,
( ( '#form41' @ '#sk9' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl855,zip_derived_cl344]) ).
thf(zip_derived_cl130,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl188,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( dirty @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl247,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( dirty @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl357_090,plain,
! [X8: mu] :
( ( '#form49' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl358,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk50' @ X8 ) ) )
| ( dirty @ X8 @ ( '#sk50' @ X8 ) ) )
| ( '#form49' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl373,plain,
! [X8: mu] :
( ~ ( dirty @ X8 @ ( '#sk50' @ X8 ) )
| ( '#form49' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl847,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk50' @ '#sk9' ) )
| ( '#form49' @ '#sk9' ) ),
inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl373]) ).
thf(zip_derived_cl372,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk50' @ X8 ) )
| ( '#form49' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl1163,plain,
( ( '#form49' @ '#sk9' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl847,zip_derived_cl372]) ).
thf(zip_derived_cl109,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl167,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( old @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl226,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( old @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl431_091,plain,
! [X8: mu] :
( ( '#form69' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl432,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk70' @ X8 ) ) )
| ( old @ X8 @ ( '#sk70' @ X8 ) ) )
| ( '#form69' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl431]) ).
thf(zip_derived_cl447,plain,
! [X8: mu] :
( ~ ( old @ X8 @ ( '#sk70' @ X8 ) )
| ( '#form69' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl432]) ).
thf(zip_derived_cl638,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk70' @ '#sk9' ) )
| ( '#form69' @ '#sk9' ) ),
inference('sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl447]) ).
thf(zip_derived_cl446,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk70' @ X8 ) )
| ( '#form69' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl432]) ).
thf(zip_derived_cl647,plain,
( ( '#form69' @ '#sk9' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl638,zip_derived_cl446]) ).
thf(zip_derived_cl413_092,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl414,plain,
! [X2: mu,X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk66' @ X2 @ X4 ) ) )
| ( in @ X4 @ X2 @ ( '#sk66' @ X2 @ X4 ) ) )
| ( '#form65' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl428,plain,
! [X2: mu,X4: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk66' @ X2 @ X4 ) )
| ( '#form65' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl20,plain,
( ( exists_in_world @ '#sk5' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl120,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl178,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl237,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( qmltpeq @ '#sk15' @ '#sk21' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl605,plain,
! [X10: mu,X16: mu] :
( ~ ( qmltpeq @ X10 @ X16 @ ( '#sk106' @ X10 @ X16 ) )
| ( '#form105' @ X10 @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl292,plain,
! [X2: $i] :
( ( rel_s4 @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl485,plain,
! [X10: mu,X12: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk82' @ X10 @ X12 ) @ Y0 ) )
| ( qmltpeq @ X10 @ X12 @ Y0 ) ) )
| ( '#form81' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl470]) ).
thf(zip_derived_cl500,plain,
! [X10: mu,X12: mu,X14: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk82' @ X10 @ X12 ) @ X14 ) )
| ( qmltpeq @ X10 @ X12 @ X14 )
| ( '#form81' @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl485]) ).
thf(zip_derived_cl516,plain,
! [X10: mu,X12: mu,X14: $i] :
( ~ ( rel_s4 @ ( '#sk82' @ X10 @ X12 ) @ X14 )
| ( qmltpeq @ X10 @ X12 @ X14 )
| ( '#form81' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl500]) ).
thf(zip_derived_cl375_093,plain,
! [X8: mu] :
( ( '#form53' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl376,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk54' @ X8 ) ) )
| ( chevy @ X8 @ ( '#sk54' @ X8 ) ) )
| ( '#form53' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl375]) ).
thf(zip_derived_cl390,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk54' @ X8 ) )
| ( '#form53' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl403_094,plain,
! [X8: mu] :
( ( '#form61' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl404,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk62' @ X8 ) ) )
| ( white @ X8 @ ( '#sk62' @ X8 ) ) )
| ( '#form61' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl403]) ).
thf(zip_derived_cl418,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk62' @ X8 ) )
| ( '#form61' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl385_095,plain,
! [X4: mu,X8: mu] :
( ( '#form57' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl386,plain,
! [X4: mu,X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk58' @ X4 @ X8 ) ) )
| ( barrel @ X4 @ X8 @ ( '#sk58' @ X4 @ X8 ) ) )
| ( '#form57' @ X4 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl385]) ).
thf(zip_derived_cl400,plain,
! [X4: mu,X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk58' @ X4 @ X8 ) )
| ( '#form57' @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl543_096,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl531,zip_derived_cl518]) ).
thf(zip_derived_cl553_097,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl555,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl543,zip_derived_cl553]) ).
thf(zip_derived_cl529_098,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl563,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl555,zip_derived_cl529]) ).
thf(zip_derived_cl413_099,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl573,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl563,zip_derived_cl413]) ).
thf(zip_derived_cl553_100,plain,
! [X12: mu] :
( ( '#form101' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl579,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl573,zip_derived_cl553]) ).
thf(zip_derived_cl413_101,plain,
! [X2: mu,X4: mu] :
( ( '#form65' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl585,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl579,zip_derived_cl413]) ).
thf(zip_derived_cl497_102,plain,
! [X10: mu] :
( ( '#form89' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl591,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl585,zip_derived_cl497]) ).
thf(zip_derived_cl593_103,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl601,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X12 @ X18 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form33' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form29' @ X2 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form89' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl591,zip_derived_cl593]) ).
thf(zip_derived_cl593_104,plain,
! [X10: mu,X16: mu] :
( ( '#form105' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl611,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form105' @ X10 @ X16 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk23' @ X2 ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form105' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl601,zip_derived_cl593]) ).
thf(zip_derived_cl289_105,plain,
! [X2: mu] :
( ( '#form29' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl290,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk30' @ X2 ) ) )
| ( hollywood @ X2 @ ( '#sk30' @ X2 ) ) )
| ( '#form29' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl306,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk30' @ X2 ) )
| ( '#form29' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl106,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl164,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( city @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl223,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( city @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl613,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk25' @ X6 ) )
| ~ ( '#form105' @ X10 @ X16 )
| ~ ( '#form89' @ X12 )
| ~ ( '#form101' @ X10 )
| ~ ( '#form97' @ X10 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form85' @ X14 )
| ~ ( '#form77' @ X4 @ X6 )
| ~ ( '#form69' @ X8 )
| ~ ( '#form61' @ X8 )
| ~ ( '#form53' @ X8 )
| ~ ( '#form45' @ X6 )
| ~ ( '#form37' @ X4 )
| ~ ( '#form29' @ X2 )
| ~ ( city @ X2 @ ( '#sk23' @ X2 ) )
| ~ '#form3'
| ~ ( exists_in_world @ X2 @ '#sk2' )
| ~ ( exists_in_world @ X4 @ '#sk2' )
| ~ ( exists_in_world @ X6 @ '#sk2' )
| ~ ( exists_in_world @ X8 @ '#sk2' )
| ~ ( exists_in_world @ X10 @ '#sk2' )
| ~ ( exists_in_world @ X12 @ '#sk2' )
| ~ ( exists_in_world @ X14 @ '#sk2' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( '#form33' @ X6 )
| ~ ( '#form41' @ X8 )
| ~ ( '#form49' @ X8 )
| ~ ( '#form57' @ X4 @ X8 )
| ~ ( '#form65' @ X2 @ X4 )
| ~ ( '#form73' @ X14 )
| ~ ( '#form81' @ X10 @ X12 )
| ~ ( '#form89' @ X10 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form101' @ X12 )
| ~ ( '#form65' @ X14 @ X16 )
| ~ ( '#form65' @ X14 @ X18 )
| ~ ( '#form105' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl603]) ).
thf(zip_derived_cl119,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl177,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk21' @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl236,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk21' @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl112,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk7' @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl170,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk7' @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl229,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk7' @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl429,plain,
! [X2: mu,X4: mu] :
( ~ ( in @ X4 @ X2 @ ( '#sk66' @ X2 @ X4 ) )
| ( '#form65' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl133,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl191,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( hollywood @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl250,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( hollywood @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl307,plain,
! [X2: mu] :
( ~ ( hollywood @ X2 @ ( '#sk30' @ X2 ) )
| ( '#form29' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl107,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl165,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( chevy @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl224,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( chevy @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl391,plain,
! [X8: mu] :
( ~ ( chevy @ X8 @ ( '#sk54' @ X8 ) )
| ( '#form53' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl108,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl166,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( white @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl225,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( white @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl419,plain,
! [X8: mu] :
( ~ ( white @ X8 @ ( '#sk62' @ X8 ) )
| ( '#form61' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl111,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk7' @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl169,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( barrel @ '#sk7' @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl228,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( barrel @ '#sk7' @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl401,plain,
! [X4: mu,X8: mu] :
( ~ ( barrel @ X4 @ X8 @ ( '#sk58' @ X4 @ X8 ) )
| ( '#form57' @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl7_106,plain,
( '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y0 )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y0 )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ Y0 )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ Y0 )
=> ( !!
@ ^ [Y9: mu] :
( ( exists_in_world @ Y9 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl8,plain,
( ~ ( ( (~) @ ( rel_s4 @ '#sk1' @ '#sk4' ) )
| ( (~)
@ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: mu] :
( ( ( exists_in_world @ X2 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl22,plain,
! [X2: mu] :
( ~ ( exists_in_world @ X2 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
! [X2: mu,X4: mu] :
( ( ( exists_in_world @ X4 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ X4 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ X4 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ X4 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X2: mu,X4: mu] :
( ~ ( exists_in_world @ X4 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ X4 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ X4 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ X4 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
! [X2: mu,X4: mu,X6: mu] :
( ( ( exists_in_world @ X6 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ X4 @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ X4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ X4 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl42,plain,
! [X2: mu,X4: mu,X6: mu] :
( ~ ( exists_in_world @ X6 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ X4 @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ X4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ X4 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl47,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu] :
( ( ( exists_in_world @ X8 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ X4 @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ X4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ X4 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl52,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu] :
( ~ ( exists_in_world @ X8 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ X4 @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ X4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ X4 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl57,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
( ( ( exists_in_world @ X10 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ X4 @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ X4 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ X10 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ X4 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl62,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu] :
( ~ ( exists_in_world @ X10 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ X4 @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ X4 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X10 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ X10 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ X4 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl67,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
( ( ( exists_in_world @ X12 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ X4 @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ X4 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X12 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X10 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ X4 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl72,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu] :
( ~ ( exists_in_world @ X12 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ X4 @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ X4 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X10 @ X12 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X12 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X10 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ X4 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl77,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
( ( ( exists_in_world @ X14 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ X4 @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ X4 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X12 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X10 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ X4 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl82,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu] :
( ~ ( exists_in_world @ X14 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ X4 @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ X4 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X10 @ X12 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X12 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X10 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ X4 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ X2 @ Y2 ) ) ) ) ) ) ) ) )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl87,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
( ( ( exists_in_world @ X16 @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ X4 @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X4 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X16 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X12 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X10 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ X4 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ X2 @ Y1 ) ) ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl92,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu] :
( ~ ( exists_in_world @ X16 @ '#sk4' )
| ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ X4 @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X4 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X10 @ X12 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X16 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X12 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X10 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ X4 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ X2 @ Y1 ) ) ) ) ) ) )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl97,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( ( exists_in_world @ X18 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl102,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( exists_in_world @ X18 @ '#sk4' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl134,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl192,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) ) )
| ( city @ X2 @ ( '#sk24' @ X2 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl252,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl285,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl285_107,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl296,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl298,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl285,zip_derived_cl296]) ).
thf(zip_derived_cl251,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl284,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl294,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl308,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl312,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl298,zip_derived_cl308]) ).
thf(zip_derived_cl312_108,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl298,zip_derived_cl308]) ).
thf(zip_derived_cl326,plain,
! [X4: mu] :
( ( '#form39' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl328,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl312,zip_derived_cl326]) ).
thf(zip_derived_cl294_109,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl308_110,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl310,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl294,zip_derived_cl308]) ).
thf(zip_derived_cl296_111,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl322,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl310,zip_derived_cl296]) ).
thf(zip_derived_cl336,plain,
! [X6: mu] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl340,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl328,zip_derived_cl336]) ).
thf(zip_derived_cl340_112,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl328,zip_derived_cl336]) ).
thf(zip_derived_cl354,plain,
! [X6: mu] :
( ( '#form47' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl356,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl340,zip_derived_cl354]) ).
thf(zip_derived_cl322_113,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl310,zip_derived_cl296]) ).
thf(zip_derived_cl336_114,plain,
! [X6: mu] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl338,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl322,zip_derived_cl336]) ).
thf(zip_derived_cl326_115,plain,
! [X4: mu] :
( ( '#form39' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl350,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl338,zip_derived_cl326]) ).
thf(zip_derived_cl364,plain,
! [X8: mu] :
( ( '#form51' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl368,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl356,zip_derived_cl364]) ).
thf(zip_derived_cl368_116,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl356,zip_derived_cl364]) ).
thf(zip_derived_cl382,plain,
! [X6: mu] :
( ( '#form55' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl384,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl368,zip_derived_cl382]) ).
thf(zip_derived_cl350_117,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl338,zip_derived_cl326]) ).
thf(zip_derived_cl364_118,plain,
! [X8: mu] :
( ( '#form51' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl366,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl350,zip_derived_cl364]) ).
thf(zip_derived_cl354_119,plain,
! [X6: mu] :
( ( '#form47' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl378,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl366,zip_derived_cl354]) ).
thf(zip_derived_cl392,plain,
! [X4: mu,X6: mu] :
( ( '#form59' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl396,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl384,zip_derived_cl392]) ).
thf(zip_derived_cl396_120,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl384,zip_derived_cl392]) ).
thf(zip_derived_cl410,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl412,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl396,zip_derived_cl410]) ).
thf(zip_derived_cl378_121,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl366,zip_derived_cl354]) ).
thf(zip_derived_cl392_122,plain,
! [X4: mu,X6: mu] :
( ( '#form59' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl394,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl378,zip_derived_cl392]) ).
thf(zip_derived_cl382_123,plain,
! [X6: mu] :
( ( '#form55' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl406,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl394,zip_derived_cl382]) ).
thf(zip_derived_cl420,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl424,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl412,zip_derived_cl420]) ).
thf(zip_derived_cl424_124,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl412,zip_derived_cl420]) ).
thf(zip_derived_cl438,plain,
! [X8: mu] :
( ( '#form71' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl440,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl424,zip_derived_cl438]) ).
thf(zip_derived_cl406_125,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl394,zip_derived_cl382]) ).
thf(zip_derived_cl420_126,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl422,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl406,zip_derived_cl420]) ).
thf(zip_derived_cl410_127,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl434,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl422,zip_derived_cl410]) ).
thf(zip_derived_cl448,plain,
! [X14: mu] :
( ( '#form75' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl452,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl440,zip_derived_cl448]) ).
thf(zip_derived_cl452_128,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl440,zip_derived_cl448]) ).
thf(zip_derived_cl466,plain,
! [X4: mu,X8: mu] :
( ( '#form79' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl468,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl452,zip_derived_cl466]) ).
thf(zip_derived_cl434_129,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl422,zip_derived_cl410]) ).
thf(zip_derived_cl448_130,plain,
! [X14: mu] :
( ( '#form75' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl450,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl434,zip_derived_cl448]) ).
thf(zip_derived_cl438_131,plain,
! [X8: mu] :
( ( '#form71' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl462,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl450,zip_derived_cl438]) ).
thf(zip_derived_cl476,plain,
! [X10: mu,X12: mu] :
( ( '#form83' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl480,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl468,zip_derived_cl476]) ).
thf(zip_derived_cl480_132,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl468,zip_derived_cl476]) ).
thf(zip_derived_cl494,plain,
! [X14: mu] :
( ( '#form87' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl496,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl480,zip_derived_cl494]) ).
thf(zip_derived_cl462_133,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl450,zip_derived_cl438]) ).
thf(zip_derived_cl476_134,plain,
! [X10: mu,X12: mu] :
( ( '#form83' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl478,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl462,zip_derived_cl476]) ).
thf(zip_derived_cl466_135,plain,
! [X4: mu,X8: mu] :
( ( '#form79' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl490,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl478,zip_derived_cl466]) ).
thf(zip_derived_cl505,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl510,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl496,zip_derived_cl505]) ).
thf(zip_derived_cl510_136,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl496,zip_derived_cl505]) ).
thf(zip_derived_cl526,plain,
! [X14: mu] :
( ( '#form95' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl528,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl510,zip_derived_cl526]) ).
thf(zip_derived_cl490_137,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl478,zip_derived_cl466]) ).
thf(zip_derived_cl505_138,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl507,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl490,zip_derived_cl505]) ).
thf(zip_derived_cl494_139,plain,
! [X14: mu] :
( ( '#form87' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl521,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl507,zip_derived_cl494]) ).
thf(zip_derived_cl536,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl540,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl528,zip_derived_cl536]) ).
thf(zip_derived_cl536_140,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl552,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl540,zip_derived_cl536]) ).
thf(zip_derived_cl521_141,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl507,zip_derived_cl494]) ).
thf(zip_derived_cl536_142,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl538,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl521,zip_derived_cl536]) ).
thf(zip_derived_cl526_143,plain,
! [X14: mu] :
( ( '#form95' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl548,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl538,zip_derived_cl526]) ).
thf(zip_derived_cl558,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl562,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl552,zip_derived_cl558]) ).
thf(zip_derived_cl558_144,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl572,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl562,zip_derived_cl558]) ).
thf(zip_derived_cl420_145,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl578,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl572,zip_derived_cl420]) ).
thf(zip_derived_cl505_146,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl584,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl578,zip_derived_cl505]) ).
thf(zip_derived_cl420_147,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl590,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl584,zip_derived_cl420]) ).
thf(zip_derived_cl590_148,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl584,zip_derived_cl420]) ).
thf(zip_derived_cl598,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl600,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X10 @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl590,zip_derived_cl598]) ).
thf(zip_derived_cl598_149,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl608,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X12 @ X18 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) ) )
| ( chevy @ X6 @ ( '#sk27' @ X6 ) ) )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form107' @ X10 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl600,zip_derived_cl598]) ).
thf(zip_derived_cl618,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form107' @ X10 @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form107' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl608]) ).
thf(zip_derived_cl14,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( !!
@ ^ [Y8: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
( ~ ( ( exists_in_world @ '#sk6' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ '#sk6' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( !!
@ ^ [Y7: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ '#sk6' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl28,plain,
( ~ ( ( exists_in_world @ '#sk8' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ '#sk8' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ '#sk8' @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ '#sk8' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ '#sk6' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl34,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( !!
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ '#sk8' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ '#sk8' @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ '#sk8' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ '#sk6' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl38,plain,
( ~ ( ( exists_in_world @ '#sk10' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ '#sk8' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ '#sk8' @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ '#sk8' @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ '#sk6' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl44,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( !!
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ '#sk8' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ '#sk8' @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ '#sk8' @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ '#sk6' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl48,plain,
( ~ ( ( exists_in_world @ '#sk12' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ '#sk8' @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ '#sk8' @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ '#sk6' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl54,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( !!
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ '#sk8' @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ '#sk8' @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ '#sk6' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl58,plain,
( ~ ( ( exists_in_world @ '#sk14' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ '#sk8' @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk14' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ '#sk14' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ '#sk8' @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ '#sk6' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl64,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( !!
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ '#sk8' @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk14' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ '#sk14' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ '#sk8' @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ '#sk6' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl68,plain,
( ~ ( ( exists_in_world @ '#sk16' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ '#sk8' @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk16' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk14' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ '#sk8' @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ '#sk6' @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl74,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( !!
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ '#sk8' @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk16' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk14' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ '#sk8' @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ '#sk6' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl78,plain,
( ~ ( ( exists_in_world @ '#sk18' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ '#sk8' @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk16' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk14' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ '#sk8' @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ '#sk6' @ Y2 ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl84,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ '#sk8' @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk16' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk14' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ '#sk8' @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ '#sk6' @ Y2 ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl88,plain,
( ~ ( ( exists_in_world @ '#sk20' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk8' @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk20' @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ '#sk8' @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ '#sk6' @ Y1 ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl93,plain,
( ( exists_in_world @ '#sk20' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl73,plain,
( ( exists_in_world @ '#sk16' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl63,plain,
( ( exists_in_world @ '#sk14' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl94,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk8' @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk20' @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ '#sk8' @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ '#sk6' @ Y1 ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl98,plain,
( ~ ( ( exists_in_world @ '#sk22' @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk8' @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk20' @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk8' @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk6' @ Y0 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl104,plain,
( ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk8' @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk20' @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk8' @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk6' @ Y0 ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl159,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl217,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( chevy @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl277,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( chevy @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl295,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl308_150,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl311,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl295,zip_derived_cl308]) ).
thf(zip_derived_cl296_151,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl325,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl311,zip_derived_cl296]) ).
thf(zip_derived_cl336_152,plain,
! [X6: mu] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl339,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl325,zip_derived_cl336]) ).
thf(zip_derived_cl326_153,plain,
! [X4: mu] :
( ( '#form39' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl353,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl339,zip_derived_cl326]) ).
thf(zip_derived_cl364_154,plain,
! [X8: mu] :
( ( '#form51' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl367,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl353,zip_derived_cl364]) ).
thf(zip_derived_cl354_155,plain,
! [X6: mu] :
( ( '#form47' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl381,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl367,zip_derived_cl354]) ).
thf(zip_derived_cl392_156,plain,
! [X4: mu,X6: mu] :
( ( '#form59' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl395,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl381,zip_derived_cl392]) ).
thf(zip_derived_cl382_157,plain,
! [X6: mu] :
( ( '#form55' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl409,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl395,zip_derived_cl382]) ).
thf(zip_derived_cl420_158,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl423,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl409,zip_derived_cl420]) ).
thf(zip_derived_cl410_159,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl437,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl423,zip_derived_cl410]) ).
thf(zip_derived_cl448_160,plain,
! [X14: mu] :
( ( '#form75' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl451,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl437,zip_derived_cl448]) ).
thf(zip_derived_cl438_161,plain,
! [X8: mu] :
( ( '#form71' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl465,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl451,zip_derived_cl438]) ).
thf(zip_derived_cl476_162,plain,
! [X10: mu,X12: mu] :
( ( '#form83' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl479,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl465,zip_derived_cl476]) ).
thf(zip_derived_cl466_163,plain,
! [X4: mu,X8: mu] :
( ( '#form79' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl493,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl479,zip_derived_cl466]) ).
thf(zip_derived_cl505_164,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl509,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl493,zip_derived_cl505]) ).
thf(zip_derived_cl494_165,plain,
! [X14: mu] :
( ( '#form87' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl525,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl509,zip_derived_cl494]) ).
thf(zip_derived_cl536_166,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl539,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl525,zip_derived_cl536]) ).
thf(zip_derived_cl526_167,plain,
! [X14: mu] :
( ( '#form95' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl551,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl539,zip_derived_cl526]) ).
thf(zip_derived_cl558_168,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl561,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl551,zip_derived_cl558]) ).
thf(zip_derived_cl536_169,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl571,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl561,zip_derived_cl536]) ).
thf(zip_derived_cl420_170,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl577,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl571,zip_derived_cl420]) ).
thf(zip_derived_cl558_171,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl583,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl577,zip_derived_cl558]) ).
thf(zip_derived_cl420_172,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl589,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl583,zip_derived_cl420]) ).
thf(zip_derived_cl505_173,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl597,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl589,zip_derived_cl505]) ).
thf(zip_derived_cl598_174,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl607,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X12 @ X18 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl597,zip_derived_cl598]) ).
thf(zip_derived_cl598_175,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl616,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X10 @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( chevy @ X6 @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form107' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl607,zip_derived_cl598]) ).
thf(zip_derived_cl103,plain,
( ( exists_in_world @ '#sk22' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl83,plain,
( ( exists_in_world @ '#sk18' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl147,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk20' @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl205,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk20' @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl265,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk20' @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl150,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl208,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( qmltpeq @ '#sk14' @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl268,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( qmltpeq @ '#sk14' @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl598_176,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl599,plain,
! [X10: mu,X16: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk108' @ X10 @ X16 ) ) )
| ( qmltpeq @ X10 @ X16 @ ( '#sk108' @ X10 @ X16 ) ) )
| ( '#form107' @ X10 @ X16 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl598]) ).
thf(zip_derived_cl609,plain,
! [X10: mu,X16: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk108' @ X10 @ X16 ) )
| ( '#form107' @ X10 @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl599]) ).
thf(zip_derived_cl505_177,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl506,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk92' @ X10 ) ) )
| ( man @ X10 @ ( '#sk92' @ X10 ) ) )
| ( '#form91' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl505]) ).
thf(zip_derived_cl522,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk92' @ X10 ) )
| ( '#form91' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl536_178,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl537,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk100' @ X12 ) ) )
| ( fellow @ X12 @ ( '#sk100' @ X12 ) ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl536]) ).
thf(zip_derived_cl549,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk100' @ X12 ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl537]) ).
thf(zip_derived_cl558_179,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl559,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk104' @ X12 ) ) )
| ( young @ X12 @ ( '#sk104' @ X12 ) ) )
| ( '#form103' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl558]) ).
thf(zip_derived_cl569,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk104' @ X12 ) )
| ( '#form103' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl559]) ).
thf(zip_derived_cl43,plain,
( ( exists_in_world @ '#sk10' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl149,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl207,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl267,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( qmltpeq @ '#sk16' @ '#sk22' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl610,plain,
! [X10: mu,X16: mu] :
( ~ ( qmltpeq @ X10 @ X16 @ ( '#sk108' @ X10 @ X16 ) )
| ( '#form107' @ X10 @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl599]) ).
thf(zip_derived_cl151,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl209,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( man @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl269,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( man @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl144,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl202,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( man @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl262,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( man @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl523,plain,
! [X10: mu] :
( ~ ( man @ X10 @ ( '#sk92' @ X10 ) )
| ( '#form91' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl145,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl203,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( fellow @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl263,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( fellow @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl153,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl211,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( fellow @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl271,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( fellow @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl550,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk100' @ X12 ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl537]) ).
thf(zip_derived_cl146,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl204,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( young @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl264,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( young @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl152,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl210,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( young @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl270,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( young @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl570,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk104' @ X12 ) )
| ( '#form103' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl559]) ).
thf(zip_derived_cl476_180,plain,
! [X10: mu,X12: mu] :
( ( '#form83' @ X10 @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X10 @ X12 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl477,plain,
! [X10: mu,X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk84' @ X10 @ X12 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk84' @ X10 @ X12 ) @ Y0 ) )
| ( qmltpeq @ X10 @ X12 @ Y0 ) ) ) ) )
| ( '#form83' @ X10 @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl491,plain,
! [X10: mu,X12: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk84' @ X10 @ X12 ) )
| ( '#form83' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl143,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y1 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl201,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y0 ) ) ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl261,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl286,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X2 @ ( '#sk28' @ X2 ) ) )
| ( qmltpeq @ '#sk14' @ '#sk16' @ ( '#sk28' @ X2 ) ) )
| '#form3'
| ~ ( rel_s4 @ '#sk4' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl261]) ).
thf(zip_derived_cl300,plain,
! [X2: $i] :
( ~ ( qmltpeq @ '#sk14' @ '#sk16' @ ( '#sk28' @ X2 ) )
| ~ ( rel_s4 @ '#sk4' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl286]) ).
thf(zip_derived_cl448_181,plain,
! [X14: mu] :
( ( '#form75' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl449,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk76' @ X14 ) ) )
| ( furniture @ X14 @ ( '#sk76' @ X14 ) ) )
| ( '#form75' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl448]) ).
thf(zip_derived_cl463,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk76' @ X14 ) )
| ( '#form75' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl494_182,plain,
! [X14: mu] :
( ( '#form87' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl495,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk88' @ X14 ) ) )
| ( seat @ X14 @ ( '#sk88' @ X14 ) ) )
| ( '#form87' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl494]) ).
thf(zip_derived_cl511,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk88' @ X14 ) )
| ( '#form87' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl526_183,plain,
! [X14: mu] :
( ( '#form95' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl527,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk96' @ X14 ) ) )
| ( front @ X14 @ ( '#sk96' @ X14 ) ) )
| ( '#form95' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl526]) ).
thf(zip_derived_cl541,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk96' @ X14 ) )
| ( '#form95' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl527]) ).
thf(zip_derived_cl53,plain,
( ( exists_in_world @ '#sk12' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl33,plain,
( ( exists_in_world @ '#sk8' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl23,plain,
( ( exists_in_world @ '#sk6' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl299,plain,
! [X2: $i] :
( ( rel_s4 @ X2 @ ( '#sk28' @ X2 ) )
| ~ ( rel_s4 @ '#sk4' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl286]) ).
thf(zip_derived_cl492,plain,
! [X10: mu,X12: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk84' @ X10 @ X12 ) @ Y0 ) )
| ( qmltpeq @ X10 @ X12 @ Y0 ) ) )
| ( '#form83' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl508,plain,
! [X10: mu,X12: mu,X14: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk84' @ X10 @ X12 ) @ X14 ) )
| ( qmltpeq @ X10 @ X12 @ X14 )
| ( '#form83' @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl492]) ).
thf(zip_derived_cl524,plain,
! [X10: mu,X12: mu,X14: $i] :
( ~ ( rel_s4 @ ( '#sk84' @ X10 @ X12 ) @ X14 )
| ( qmltpeq @ X10 @ X12 @ X14 )
| ( '#form83' @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl508]) ).
thf(zip_derived_cl142,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl200,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( furniture @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl260,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( furniture @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl464,plain,
! [X14: mu] :
( ~ ( furniture @ X14 @ ( '#sk76' @ X14 ) )
| ( '#form75' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl155,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl213,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( seat @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl273,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( seat @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl512,plain,
! [X14: mu] :
( ~ ( seat @ X14 @ ( '#sk88' @ X14 ) )
| ( '#form87' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl154,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl212,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( front @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl272,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( front @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl542,plain,
! [X14: mu] :
( ~ ( front @ X14 @ ( '#sk96' @ X14 ) )
| ( '#form95' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl527]) ).
thf(zip_derived_cl148,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl206,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk22' @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl266,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk22' @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl364_184,plain,
! [X8: mu] :
( ( '#form51' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl365,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk52' @ X8 ) ) )
| ( way @ X8 @ ( '#sk52' @ X8 ) ) )
| ( '#form51' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl364]) ).
thf(zip_derived_cl379,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk52' @ X8 ) )
| ( '#form51' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl410_185,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl411,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk64' @ X8 ) ) )
| ( street @ X8 @ ( '#sk64' @ X8 ) ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl410]) ).
thf(zip_derived_cl425,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl438_186,plain,
! [X8: mu] :
( ( '#form71' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl439,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk72' @ X8 ) ) )
| ( lonely @ X8 @ ( '#sk72' @ X8 ) ) )
| ( '#form71' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl438]) ).
thf(zip_derived_cl453,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk72' @ X8 ) )
| ( '#form71' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl466_187,plain,
! [X4: mu,X8: mu] :
( ( '#form79' @ X4 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X4 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl467,plain,
! [X4: mu,X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk80' @ X4 @ X8 ) ) )
| ( down @ X4 @ X8 @ ( '#sk80' @ X4 @ X8 ) ) )
| ( '#form79' @ X4 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl466]) ).
thf(zip_derived_cl481,plain,
! [X4: mu,X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk80' @ X4 @ X8 ) )
| ( '#form79' @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl467]) ).
thf(zip_derived_cl420_188,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl421,plain,
! [X2: mu,X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk68' @ X2 @ X4 ) ) )
| ( in @ X4 @ X2 @ ( '#sk68' @ X2 @ X4 ) ) )
| ( '#form67' @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl420]) ).
thf(zip_derived_cl435,plain,
! [X2: mu,X4: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk68' @ X2 @ X4 ) )
| ( '#form67' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl421]) ).
thf(zip_derived_cl160,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk10' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl218,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( way @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl160]) ).
thf(zip_derived_cl278,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( way @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl380,plain,
! [X8: mu] :
( ~ ( way @ X8 @ ( '#sk52' @ X8 ) )
| ( '#form51' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl136,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk10' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl194,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( street @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl254,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( street @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl426,plain,
! [X8: mu] :
( ~ ( street @ X8 @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl137,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk10' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl195,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( lonely @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl255,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( lonely @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl454,plain,
! [X8: mu] :
( ~ ( lonely @ X8 @ ( '#sk72' @ X8 ) )
| ( '#form71' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl156,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk8' @ '#sk10' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl214,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( down @ '#sk8' @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl274,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( down @ '#sk8' @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl482,plain,
! [X4: mu,X8: mu] :
( ~ ( down @ X4 @ X8 @ ( '#sk80' @ X4 @ X8 ) )
| ( '#form79' @ X4 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl467]) ).
thf(zip_derived_cl308_189,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl309,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk36' @ X6 ) ) )
| ( white @ X6 @ ( '#sk36' @ X6 ) ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl308]) ).
thf(zip_derived_cl323,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk36' @ X6 ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl326_190,plain,
! [X4: mu] :
( ( '#form39' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl327,plain,
! [X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk40' @ X4 ) ) )
| ( event @ X4 @ ( '#sk40' @ X4 ) ) )
| ( '#form39' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl326]) ).
thf(zip_derived_cl341,plain,
! [X4: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk40' @ X4 ) )
| ( '#form39' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl336_191,plain,
! [X6: mu] :
( ( '#form43' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl337,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk44' @ X6 ) ) )
| ( old @ X6 @ ( '#sk44' @ X6 ) ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl336]) ).
thf(zip_derived_cl351,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk44' @ X6 ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl354_192,plain,
! [X6: mu] :
( ( '#form47' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl355,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk48' @ X6 ) ) )
| ( car @ X6 @ ( '#sk48' @ X6 ) ) )
| ( '#form47' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl369,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk48' @ X6 ) )
| ( '#form47' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl382_193,plain,
! [X6: mu] :
( ( '#form55' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl383,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk56' @ X6 ) ) )
| ( dirty @ X6 @ ( '#sk56' @ X6 ) ) )
| ( '#form55' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl397,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk56' @ X6 ) )
| ( '#form55' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl392_194,plain,
! [X4: mu,X6: mu] :
( ( '#form59' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X4 @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl393,plain,
! [X4: mu,X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk60' @ X4 @ X6 ) ) )
| ( barrel @ X4 @ X6 @ ( '#sk60' @ X4 @ X6 ) ) )
| ( '#form59' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl392]) ).
thf(zip_derived_cl407,plain,
! [X4: mu,X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk60' @ X4 @ X6 ) )
| ( '#form59' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl548_195,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl538,zip_derived_cl526]) ).
thf(zip_derived_cl558_196,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl560,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl548,zip_derived_cl558]) ).
thf(zip_derived_cl536_197,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl568,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X16 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl560,zip_derived_cl536]) ).
thf(zip_derived_cl420_198,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl576,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl568,zip_derived_cl420]) ).
thf(zip_derived_cl558_199,plain,
! [X12: mu] :
( ( '#form103' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl582,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl576,zip_derived_cl558]) ).
thf(zip_derived_cl420_200,plain,
! [X2: mu,X4: mu] :
( ( '#form67' @ X2 @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X4 @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl588,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl582,zip_derived_cl420]) ).
thf(zip_derived_cl505_201,plain,
! [X10: mu] :
( ( '#form91' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl596,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl588,zip_derived_cl505]) ).
thf(zip_derived_cl598_202,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl606,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X12 @ X18 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X2 @ '#sk4' )
| '#form3'
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl596,zip_derived_cl598]) ).
thf(zip_derived_cl598_203,plain,
! [X10: mu,X16: mu] :
( ( '#form107' @ X10 @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X10 @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl615,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ~ ( '#form107' @ X10 @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk24' @ X2 ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form107' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl606,zip_derived_cl598]) ).
thf(zip_derived_cl141,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk8' @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl199,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk8' @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl259,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk8' @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl436,plain,
! [X2: mu,X4: mu] :
( ~ ( in @ X4 @ X2 @ ( '#sk68' @ X2 @ X4 ) )
| ( '#form67' @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl421]) ).
thf(zip_derived_cl296_204,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl297,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk32' @ X2 ) ) )
| ( hollywood @ X2 @ ( '#sk32' @ X2 ) ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl296]) ).
thf(zip_derived_cl313,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl135,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl193,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( city @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl253,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( city @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl617,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk27' @ X6 ) )
| ~ ( '#form107' @ X10 @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form103' @ X10 )
| ~ ( '#form99' @ X10 )
| ~ ( '#form95' @ X14 )
| ~ ( '#form87' @ X14 )
| ~ ( '#form79' @ X4 @ X8 )
| ~ ( '#form71' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X6 )
| ~ ( '#form47' @ X6 )
| ~ ( '#form39' @ X4 )
| ~ ( '#form31' @ X2 )
| ~ ( city @ X2 @ ( '#sk24' @ X2 ) )
| '#form3'
| ~ ( exists_in_world @ X2 @ '#sk4' )
| ~ ( exists_in_world @ X4 @ '#sk4' )
| ~ ( exists_in_world @ X6 @ '#sk4' )
| ~ ( exists_in_world @ X8 @ '#sk4' )
| ~ ( exists_in_world @ X10 @ '#sk4' )
| ~ ( exists_in_world @ X12 @ '#sk4' )
| ~ ( exists_in_world @ X14 @ '#sk4' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X6 )
| ~ ( '#form51' @ X8 )
| ~ ( '#form59' @ X4 @ X6 )
| ~ ( '#form67' @ X2 @ X4 )
| ~ ( '#form75' @ X14 )
| ~ ( '#form83' @ X10 @ X12 )
| ~ ( '#form91' @ X10 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form103' @ X12 )
| ~ ( '#form67' @ X14 @ X16 )
| ~ ( '#form67' @ X14 @ X18 )
| ~ ( '#form107' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl608]) ).
thf(zip_derived_cl158,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl216,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( white @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl276,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( white @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl324,plain,
! [X6: mu] :
( ~ ( white @ X6 @ ( '#sk36' @ X6 ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl161,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk8' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl219,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( event @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl279,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( event @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl342,plain,
! [X4: mu] :
( ~ ( event @ X4 @ ( '#sk40' @ X4 ) )
| ( '#form39' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl157,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl215,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( old @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl275,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( old @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl352,plain,
! [X6: mu] :
( ~ ( old @ X6 @ ( '#sk44' @ X6 ) )
| ( '#form43' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl138,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl196,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( car @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl256,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( car @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl370,plain,
! [X6: mu] :
( ~ ( car @ X6 @ ( '#sk48' @ X6 ) )
| ( '#form47' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl139,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl197,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( dirty @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl257,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( dirty @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl398,plain,
! [X6: mu] :
( ~ ( dirty @ X6 @ ( '#sk56' @ X6 ) )
| ( '#form55' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl140,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk8' @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl198,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( barrel @ '#sk8' @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl258,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( barrel @ '#sk8' @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl408,plain,
! [X4: mu,X6: mu] :
( ~ ( barrel @ X4 @ X6 @ ( '#sk60' @ X4 @ X6 ) )
| ( '#form59' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl162,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl220,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( hollywood @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl280,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( hollywood @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl314,plain,
! [X2: mu] :
( ~ ( hollywood @ X2 @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl3485,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl614,zip_derived_cl474,zip_derived_cl50,zip_derived_cl879,zip_derived_cl659,zip_derived_cl90,zip_derived_cl246,zip_derived_cl612,zip_derived_cl244,zip_derived_cl475,zip_derived_cl70,zip_derived_cl60,zip_derived_cl759,zip_derived_cl717,zip_derived_cl735,zip_derived_cl795,zip_derived_cl747,zip_derived_cl777,zip_derived_cl604,zip_derived_cl100,zip_derived_cl80,zip_derived_cl671,zip_derived_cl831,zip_derived_cl819,zip_derived_cl235,zip_derived_cl238,zip_derived_cl484,zip_derived_cl293,zip_derived_cl40,zip_derived_cl30,zip_derived_cl1811,zip_derived_cl1447,zip_derived_cl1163,zip_derived_cl647,zip_derived_cl428,zip_derived_cl20,zip_derived_cl237,zip_derived_cl605,zip_derived_cl292,zip_derived_cl516,zip_derived_cl390,zip_derived_cl418,zip_derived_cl400,zip_derived_cl611,zip_derived_cl306,zip_derived_cl223,zip_derived_cl613,zip_derived_cl236,zip_derived_cl229,zip_derived_cl429,zip_derived_cl250,zip_derived_cl307,zip_derived_cl224,zip_derived_cl391,zip_derived_cl225,zip_derived_cl419,zip_derived_cl228,zip_derived_cl401,zip_derived_cl618,zip_derived_cl93,zip_derived_cl73,zip_derived_cl63,zip_derived_cl277,zip_derived_cl616,zip_derived_cl103,zip_derived_cl83,zip_derived_cl265,zip_derived_cl268,zip_derived_cl609,zip_derived_cl522,zip_derived_cl549,zip_derived_cl569,zip_derived_cl43,zip_derived_cl267,zip_derived_cl610,zip_derived_cl269,zip_derived_cl262,zip_derived_cl523,zip_derived_cl263,zip_derived_cl271,zip_derived_cl550,zip_derived_cl264,zip_derived_cl270,zip_derived_cl570,zip_derived_cl491,zip_derived_cl300,zip_derived_cl463,zip_derived_cl511,zip_derived_cl541,zip_derived_cl53,zip_derived_cl33,zip_derived_cl23,zip_derived_cl299,zip_derived_cl524,zip_derived_cl260,zip_derived_cl464,zip_derived_cl273,zip_derived_cl512,zip_derived_cl272,zip_derived_cl542,zip_derived_cl266,zip_derived_cl379,zip_derived_cl425,zip_derived_cl453,zip_derived_cl481,zip_derived_cl435,zip_derived_cl278,zip_derived_cl380,zip_derived_cl254,zip_derived_cl426,zip_derived_cl255,zip_derived_cl454,zip_derived_cl274,zip_derived_cl482,zip_derived_cl323,zip_derived_cl341,zip_derived_cl351,zip_derived_cl369,zip_derived_cl397,zip_derived_cl407,zip_derived_cl615,zip_derived_cl259,zip_derived_cl436,zip_derived_cl313,zip_derived_cl253,zip_derived_cl617,zip_derived_cl276,zip_derived_cl324,zip_derived_cl279,zip_derived_cl342,zip_derived_cl275,zip_derived_cl352,zip_derived_cl256,zip_derived_cl370,zip_derived_cl257,zip_derived_cl398,zip_derived_cl258,zip_derived_cl408,zip_derived_cl280,zip_derived_cl314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP009^7 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uv0mQ0rC5z true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 11:49:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.63 % Total configuration time : 828
% 0.21/0.63 % Estimated wc time : 1656
% 0.21/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 45.16/6.33 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 50.82/7.08 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 55.33/7.67 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 60.78/8.39 % Solved by lams/20_acsne_simpl.sh.
% 60.78/8.39 % done 1814 iterations in 6.625s
% 60.78/8.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 60.78/8.39 % SZS output start Refutation
% See solution above
% 60.78/8.51
% 60.78/8.51
% 60.78/8.51 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 60.78/8.51 % Terminating...
% 61.48/8.65 % Runner terminated.
% 61.48/8.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------