%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NLP011^7 : 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.2lTbyKTLlN true
% Computer : n003.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 10:18:15 EDT 2023
% Result : Theorem 65.73s 9.03s
% Output : Refutation 66.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 381
% Syntax : Number of formulae : 1099 ( 25 unt; 144 typ; 0 def)
% Number of atoms : 45655 ( 24 equ;12019 cnn)
% Maximal formula atoms : 728 ( 47 avg)
% Number of connectives : 124699 (22944 ~;22751 |; 0 &;69543 @)
% ( 0 <=>; 843 =>; 0 <=; 0 <~>)
% Maximal formula depth : 79 ( 25 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 228 ( 228 >; 0 *; 0 +; 0 <<)
% Number of symbols : 147 ( 143 usr; 27 con; 0-3 aty)
% (8618 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 12219 (8706 ^;3513 !; 0 ?;12219 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf('#form81_type',type,
'#form81': mu > $o ).
thf('#sk78_type',type,
'#sk78': mu > mu > $i ).
thf('#form35_type',type,
'#form35': mu > $o ).
thf(front_type,type,
front: mu > $i > $o ).
thf('#sk26_type',type,
'#sk26': mu > $i ).
thf('#sk25_type',type,
'#sk25': mu > $i ).
thf('#form105_type',type,
'#form105': mu > $o ).
thf('#form85_type',type,
'#form85': mu > mu > $o ).
thf('#form107_type',type,
'#form107': mu > $o ).
thf('#form39_type',type,
'#form39': mu > $o ).
thf(lonely_type,type,
lonely: mu > $i > $o ).
thf('#sk46_type',type,
'#sk46': mu > $i ).
thf('#form41_type',type,
'#form41': mu > $o ).
thf('#sk112_type',type,
'#sk112': mu > mu > $i ).
thf(young_type,type,
young: mu > $i > $o ).
thf('#form45_type',type,
'#form45': mu > $o ).
thf('#sk74_type',type,
'#sk74': mu > $i ).
thf('#sk22_type',type,
'#sk22': mu ).
thf('#sk110_type',type,
'#sk110': mu > mu > $i ).
thf('#sk82_type',type,
'#sk82': mu > $i ).
thf('#form3_type',type,
'#form3': $o ).
thf('#sk88_type',type,
'#sk88': mu > mu > $i ).
thf('#sk38_type',type,
'#sk38': mu > $i ).
thf(in_type,type,
in: mu > mu > $i > $o ).
thf(furniture_type,type,
furniture: mu > $i > $o ).
thf('#sk80_type',type,
'#sk80': mu > $i ).
thf('#sk7_type',type,
'#sk7': mu ).
thf('#form83_type',type,
'#form83': mu > mu > $o ).
thf('#sk102_type',type,
'#sk102': mu > mu > $i ).
thf(street_type,type,
street: mu > $i > $o ).
thf('#sk108_type',type,
'#sk108': mu > $i ).
thf(hollywood_type,type,
hollywood: mu > $i > $o ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf('#sk17_type',type,
'#sk17': mu ).
thf('#form63_type',type,
'#form63': mu > $o ).
thf(chevy_type,type,
chevy: mu > $i > $o ).
thf('#form49_type',type,
'#form49': mu > $o ).
thf('#sk34_type',type,
'#sk34': mu > $i ).
thf('#form101_type',type,
'#form101': mu > mu > $o ).
thf('#form43_type',type,
'#form43': mu > $o ).
thf('#form111_type',type,
'#form111': mu > mu > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(barrel_type,type,
barrel: mu > mu > $i > $o ).
thf('#form99_type',type,
'#form99': mu > $o ).
thf('#sk70_type',type,
'#sk70': mu > $i ).
thf(dirty_type,type,
dirty: mu > $i > $o ).
thf('#form53_type',type,
'#form53': mu > $o ).
thf('#sk9_type',type,
'#sk9': mu ).
thf('#form51_type',type,
'#form51': mu > $o ).
thf('#sk24_type',type,
'#sk24': mu ).
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('#form55_type',type,
'#form55': mu > $o ).
thf('#sk8_type',type,
'#sk8': mu ).
thf('#sk30_type',type,
'#sk30': $i > $i ).
thf('#sk104_type',type,
'#sk104': mu > mu > $i ).
thf(car_type,type,
car: mu > $i > $o ).
thf('#form65_type',type,
'#form65': mu > $o ).
thf('#sk60_type',type,
'#sk60': mu > $i ).
thf('#form89_type',type,
'#form89': mu > mu > $o ).
thf('#sk16_type',type,
'#sk16': mu ).
thf('#form57_type',type,
'#form57': mu > $o ).
thf('#sk58_type',type,
'#sk58': mu > $i ).
thf('#sk11_type',type,
'#sk11': mu ).
thf('#sk29_type',type,
'#sk29': mu > $i ).
thf('#sk50_type',type,
'#sk50': mu > $i ).
thf('#form109_type',type,
'#form109': mu > mu > $o ).
thf(city_type,type,
city: mu > $i > $o ).
thf(event_type,type,
event: mu > $i > $o ).
thf('#form73_type',type,
'#form73': mu > $o ).
thf(seat_type,type,
seat: mu > $i > $o ).
thf('#sk18_type',type,
'#sk18': mu ).
thf(way_type,type,
way: mu > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk90_type',type,
'#sk90': mu > mu > $i ).
thf('#form47_type',type,
'#form47': mu > $o ).
thf('#sk14_type',type,
'#sk14': mu ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(old_type,type,
old: mu > $i > $o ).
thf('#sk64_type',type,
'#sk64': mu > $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(fellow_type,type,
fellow: mu > $i > $o ).
thf('#sk13_type',type,
'#sk13': mu ).
thf('#form91_type',type,
'#form91': mu > $o ).
thf('#form97_type',type,
'#form97': mu > $o ).
thf(white_type,type,
white: mu > $i > $o ).
thf('#sk10_type',type,
'#sk10': mu ).
thf('#sk12_type',type,
'#sk12': mu ).
thf('#sk62_type',type,
'#sk62': mu > $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf('#sk68_type',type,
'#sk68': mu > $i ).
thf('#sk5_type',type,
'#sk5': mu ).
thf('#form75_type',type,
'#form75': mu > mu > $o ).
thf('#sk54_type',type,
'#sk54': mu > $i ).
thf('#sk100_type',type,
'#sk100': mu > $i ).
thf(exists_in_world_type,type,
exists_in_world: mu > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#form95_type',type,
'#form95': mu > $o ).
thf('#sk106_type',type,
'#sk106': mu > $i ).
thf('#sk66_type',type,
'#sk66': mu > $i ).
thf('#form33_type',type,
'#form33': mu > $o ).
thf(qmltpeq_type,type,
qmltpeq: mu > mu > $i > $o ).
thf('#form61_type',type,
'#form61': mu > $o ).
thf('#sk72_type',type,
'#sk72': mu > $i ).
thf('#sk44_type',type,
'#sk44': mu > $i ).
thf('#sk36_type',type,
'#sk36': mu > $i ).
thf('#sk86_type',type,
'#sk86': mu > mu > $i ).
thf('#form59_type',type,
'#form59': mu > $o ).
thf('#form67_type',type,
'#form67': mu > $o ).
thf('#sk48_type',type,
'#sk48': mu > $i ).
thf('#form31_type',type,
'#form31': mu > $o ).
thf('#form71_type',type,
'#form71': mu > $o ).
thf('#sk84_type',type,
'#sk84': mu > mu > $i ).
thf('#sk19_type',type,
'#sk19': mu ).
thf('#form69_type',type,
'#form69': mu > $o ).
thf('#sk28_type',type,
'#sk28': $i > $i ).
thf('#sk56_type',type,
'#sk56': mu > $i ).
thf('#sk32_type',type,
'#sk32': mu > $i ).
thf('#sk23_type',type,
'#sk23': mu ).
thf(down_type,type,
down: mu > mu > $i > $o ).
thf('#sk20_type',type,
'#sk20': mu ).
thf('#sk27_type',type,
'#sk27': mu > $i ).
thf('#sk98_type',type,
'#sk98': mu > $i ).
thf('#sk40_type',type,
'#sk40': mu > $i ).
thf('#form103_type',type,
'#form103': mu > mu > $o ).
thf('#sk52_type',type,
'#sk52': mu > $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk21_type',type,
'#sk21': mu ).
thf('#sk94_type',type,
'#sk94': mu > $i ).
thf('#form77_type',type,
'#form77': mu > mu > $o ).
thf('#sk6_type',type,
'#sk6': mu ).
thf('#sk76_type',type,
'#sk76': mu > mu > $i ).
thf('#form93_type',type,
'#form93': mu > $o ).
thf('#form96_type',type,
'#form96': mu > $o ).
thf('#form37_type',type,
'#form37': mu > $o ).
thf(man_type,type,
man: mu > $i > $o ).
thf('#form79_type',type,
'#form79': mu > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf('#sk92_type',type,
'#sk92': mu > $i ).
thf('#sk42_type',type,
'#sk42': mu > $i ).
thf('#form87_type',type,
'#form87': 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] :
( mexists_ind
@ ^ [X4: mu] : ( mand @ ( mbox_s4 @ ( seat @ U ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ U ) ) @ ( mand @ ( mbox_s4 @ ( front @ U ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ V ) ) @ ( mand @ ( mbox_s4 @ ( city @ V ) ) @ ( mand @ ( mbox_s4 @ ( event @ W ) ) @ ( mand @ ( mbox_s4 @ ( street @ X ) ) @ ( mand @ ( mbox_s4 @ ( way @ X ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ Y ) ) @ ( mand @ ( mbox_s4 @ ( car @ Y ) ) @ ( mand @ ( mbox_s4 @ ( white @ Y ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ Y ) ) @ ( mand @ ( mbox_s4 @ ( old @ Y ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ W @ Y ) ) @ ( mand @ ( mbox_s4 @ ( down @ W @ X ) ) @ ( mand @ ( mbox_s4 @ ( in @ W @ V ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ Z @ X1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Z ) ) @ ( mand @ ( mbox_s4 @ ( man @ Z ) ) @ ( mand @ ( mbox_s4 @ ( young @ Z ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Z @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X3 @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X1 @ X4 ) ) @ ( mbox_s4 @ ( in @ X4 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( 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] :
( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] : ( mand @ ( mbox_s4 @ ( seat @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X7 @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X7 @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X7 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X10 @ X11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X10 @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X13 @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X11 @ X14 ) ) @ ( mbox_s4 @ ( in @ X14 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( 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] :
( mexists_ind
@ ^ [X22: mu] :
( mexists_ind
@ ^ [X23: mu] :
( mexists_ind
@ ^ [X24: mu] : ( mand @ ( mbox_s4 @ ( seat @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X17 @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X17 @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X17 @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X20 @ X21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X20 @ X23 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X23 @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X21 @ X24 ) ) @ ( mbox_s4 @ ( in @ X24 @ X22 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X25: mu] :
( mexists_ind
@ ^ [X26: mu] :
( mexists_ind
@ ^ [X27: mu] :
( mexists_ind
@ ^ [X28: mu] :
( mexists_ind
@ ^ [X29: mu] :
( mexists_ind
@ ^ [X30: mu] :
( mexists_ind
@ ^ [X31: mu] :
( mexists_ind
@ ^ [X32: mu] :
( mexists_ind
@ ^ [X33: mu] :
( mexists_ind
@ ^ [X34: mu] : ( mand @ ( mbox_s4 @ ( seat @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X27 @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X27 @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X27 @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X30 @ X31 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X30 @ X33 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X33 @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X31 @ X34 ) ) @ ( mbox_s4 @ ( in @ X34 @ X25 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ! [X176: $i] :
( ~ ( rel_s4 @ X4 @ X176 )
| ~ ! [X262: mu] :
( ( exists_in_world @ X262 @ X176 )
=> ! [X264: mu] :
( ( exists_in_world @ X264 @ X176 )
=> ! [X266: mu] :
( ( exists_in_world @ X266 @ X176 )
=> ! [X268: mu] :
( ( exists_in_world @ X268 @ X176 )
=> ! [X270: mu] :
( ( exists_in_world @ X270 @ X176 )
=> ! [X272: mu] :
( ( exists_in_world @ X272 @ X176 )
=> ! [X274: mu] :
( ( exists_in_world @ X274 @ X176 )
=> ! [X276: mu] :
( ( exists_in_world @ X276 @ X176 )
=> ! [X278: mu] :
( ( exists_in_world @ X278 @ X176 )
=> ! [X280: mu] :
( ( exists_in_world @ X280 @ X176 )
=> ( ~ ! [X284: $i] :
( ~ ( rel_s4 @ X176 @ X284 )
| ( furniture @ X262 @ X284 ) )
| ~ ! [X288: $i] :
( ~ ( rel_s4 @ X176 @ X288 )
| ( hollywood @ X264 @ X288 ) )
| ~ ! [X292: $i] :
( ~ ( rel_s4 @ X176 @ X292 )
| ( event @ X266 @ X292 ) )
| ~ ! [X296: $i] :
( ~ ( rel_s4 @ X176 @ X296 )
| ( way @ X268 @ X296 ) )
| ~ ! [X300: $i] :
( ~ ( rel_s4 @ X176 @ X300 )
| ( chevy @ X270 @ X300 ) )
| ~ ! [X304: $i] :
( ~ ( rel_s4 @ X176 @ X304 )
| ( white @ X270 @ X304 ) )
| ~ ! [X308: $i] :
( ~ ( rel_s4 @ X176 @ X308 )
| ( old @ X270 @ X308 ) )
| ~ ! [X312: $i] :
( ~ ( rel_s4 @ X176 @ X312 )
| ( down @ X266 @ X268 @ X312 ) )
| ~ ! [X316: $i] :
( ~ ( rel_s4 @ X176 @ X316 )
| ( seat @ X276 @ X316 ) )
| ~ ! [X320: $i] :
( ~ ( rel_s4 @ X176 @ X320 )
| ( front @ X276 @ X320 ) )
| ~ ! [X326: $i] :
( ~ ( rel_s4 @ X176 @ X326 )
| ( fellow @ X272 @ X326 ) )
| ~ ! [X330: $i] :
( ~ ( rel_s4 @ X176 @ X330 )
| ( young @ X272 @ X330 ) )
| ~ ! [X334: $i] :
( ~ ( rel_s4 @ X176 @ X334 )
| ( man @ X274 @ X334 ) )
| ~ ! [X338: $i] :
( ~ ( rel_s4 @ X176 @ X338 )
| ( qmltpeq @ X272 @ X278 @ X338 ) )
| ~ ! [X342: $i] :
( ~ ( rel_s4 @ X176 @ X342 )
| ( qmltpeq @ X274 @ X280 @ X342 ) )
| ~ ! [X344: $i] :
( ~ ( rel_s4 @ X176 @ X344 )
| ( in @ X280 @ X262 @ X344 ) )
| ~ ! [X340: $i] :
( ~ ( rel_s4 @ X176 @ X340 )
| ( in @ X278 @ X276 @ X340 ) )
| ~ ! [X336: $i] :
( ~ ( rel_s4 @ X176 @ X336 )
| ( young @ X274 @ X336 ) )
| ~ ! [X332: $i] :
( ~ ( rel_s4 @ X176 @ X332 )
| ( fellow @ X274 @ X332 ) )
| ~ ! [X328: $i] :
( ~ ( rel_s4 @ X176 @ X328 )
| ( man @ X272 @ X328 ) )
| ~ ! [X322: $i] :
( ~ ( rel_s4 @ X176 @ X322 )
| ~ ! [X324: $i] :
( ~ ( rel_s4 @ X322 @ X324 )
| ( qmltpeq @ X272 @ X274 @ X324 ) ) )
| ~ ! [X318: $i] :
( ~ ( rel_s4 @ X176 @ X318 )
| ( furniture @ X276 @ X318 ) )
| ~ ! [X314: $i] :
( ~ ( rel_s4 @ X176 @ X314 )
| ( in @ X266 @ X264 @ X314 ) )
| ~ ! [X310: $i] :
( ~ ( rel_s4 @ X176 @ X310 )
| ( barrel @ X266 @ X270 @ X310 ) )
| ~ ! [X306: $i] :
( ~ ( rel_s4 @ X176 @ X306 )
| ( dirty @ X270 @ X306 ) )
| ~ ! [X302: $i] :
( ~ ( rel_s4 @ X176 @ X302 )
| ( car @ X270 @ X302 ) )
| ~ ! [X298: $i] :
( ~ ( rel_s4 @ X176 @ X298 )
| ( lonely @ X268 @ X298 ) )
| ~ ! [X294: $i] :
( ~ ( rel_s4 @ X176 @ X294 )
| ( street @ X268 @ X294 ) )
| ~ ! [X290: $i] :
( ~ ( rel_s4 @ X176 @ X290 )
| ( city @ X264 @ X290 ) )
| ~ ! [X286: $i] :
( ~ ( rel_s4 @ X176 @ X286 )
| ( front @ X262 @ X286 ) )
| ~ ! [X282: $i] :
( ~ ( rel_s4 @ X176 @ X282 )
| ( seat @ X262 @ X282 ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X178: mu] :
( ( exists_in_world @ X178 @ X176 )
=> ! [X180: mu] :
( ( exists_in_world @ X180 @ X176 )
=> ! [X182: mu] :
( ( exists_in_world @ X182 @ X176 )
=> ! [X184: mu] :
( ( exists_in_world @ X184 @ X176 )
=> ! [X186: mu] :
( ( exists_in_world @ X186 @ X176 )
=> ! [X188: mu] :
( ( exists_in_world @ X188 @ X176 )
=> ! [X190: mu] :
( ( exists_in_world @ X190 @ X176 )
=> ! [X192: mu] :
( ( exists_in_world @ X192 @ X176 )
=> ! [X194: mu] :
( ( exists_in_world @ X194 @ X176 )
=> ! [X196: mu] :
( ( exists_in_world @ X196 @ X176 )
=> ( ~ ! [X200: $i] :
( ~ ( rel_s4 @ X176 @ X200 )
| ( furniture @ X178 @ X200 ) )
| ~ ! [X204: $i] :
( ~ ( rel_s4 @ X176 @ X204 )
| ( hollywood @ X180 @ X204 ) )
| ~ ! [X208: $i] :
( ~ ( rel_s4 @ X176 @ X208 )
| ( event @ X182 @ X208 ) )
| ~ ! [X212: $i] :
( ~ ( rel_s4 @ X176 @ X212 )
| ( way @ X184 @ X212 ) )
| ~ ! [X216: $i] :
( ~ ( rel_s4 @ X176 @ X216 )
| ( chevy @ X186 @ X216 ) )
| ~ ! [X220: $i] :
( ~ ( rel_s4 @ X176 @ X220 )
| ( white @ X186 @ X220 ) )
| ~ ! [X224: $i] :
( ~ ( rel_s4 @ X176 @ X224 )
| ( old @ X186 @ X224 ) )
| ~ ! [X228: $i] :
( ~ ( rel_s4 @ X176 @ X228 )
| ( down @ X182 @ X184 @ X228 ) )
| ~ ! [X232: $i] :
( ~ ( rel_s4 @ X176 @ X232 )
| ( seat @ X192 @ X232 ) )
| ~ ! [X236: $i] :
( ~ ( rel_s4 @ X176 @ X236 )
| ( front @ X192 @ X236 ) )
| ~ ! [X242: $i] :
( ~ ( rel_s4 @ X176 @ X242 )
| ( fellow @ X188 @ X242 ) )
| ~ ! [X246: $i] :
( ~ ( rel_s4 @ X176 @ X246 )
| ( young @ X188 @ X246 ) )
| ~ ! [X250: $i] :
( ~ ( rel_s4 @ X176 @ X250 )
| ( man @ X190 @ X250 ) )
| ~ ! [X254: $i] :
( ~ ( rel_s4 @ X176 @ X254 )
| ( qmltpeq @ X188 @ X194 @ X254 ) )
| ~ ! [X258: $i] :
( ~ ( rel_s4 @ X176 @ X258 )
| ( qmltpeq @ X190 @ X196 @ X258 ) )
| ~ ! [X260: $i] :
( ~ ( rel_s4 @ X176 @ X260 )
| ( in @ X196 @ X192 @ X260 ) )
| ~ ! [X256: $i] :
( ~ ( rel_s4 @ X176 @ X256 )
| ( in @ X194 @ X178 @ X256 ) )
| ~ ! [X252: $i] :
( ~ ( rel_s4 @ X176 @ X252 )
| ( young @ X190 @ X252 ) )
| ~ ! [X248: $i] :
( ~ ( rel_s4 @ X176 @ X248 )
| ( fellow @ X190 @ X248 ) )
| ~ ! [X244: $i] :
( ~ ( rel_s4 @ X176 @ X244 )
| ( man @ X188 @ X244 ) )
| ~ ! [X238: $i] :
( ~ ( rel_s4 @ X176 @ X238 )
| ~ ! [X240: $i] :
( ~ ( rel_s4 @ X238 @ X240 )
| ( qmltpeq @ X188 @ X190 @ X240 ) ) )
| ~ ! [X234: $i] :
( ~ ( rel_s4 @ X176 @ X234 )
| ( furniture @ X192 @ X234 ) )
| ~ ! [X230: $i] :
( ~ ( rel_s4 @ X176 @ X230 )
| ( in @ X182 @ X180 @ X230 ) )
| ~ ! [X226: $i] :
( ~ ( rel_s4 @ X176 @ X226 )
| ( barrel @ X182 @ X186 @ X226 ) )
| ~ ! [X222: $i] :
( ~ ( rel_s4 @ X176 @ X222 )
| ( dirty @ X186 @ X222 ) )
| ~ ! [X218: $i] :
( ~ ( rel_s4 @ X176 @ X218 )
| ( car @ X186 @ X218 ) )
| ~ ! [X214: $i] :
( ~ ( rel_s4 @ X176 @ X214 )
| ( lonely @ X184 @ X214 ) )
| ~ ! [X210: $i] :
( ~ ( rel_s4 @ X176 @ X210 )
| ( street @ X184 @ X210 ) )
| ~ ! [X206: $i] :
( ~ ( rel_s4 @ X176 @ X206 )
| ( city @ X180 @ X206 ) )
| ~ ! [X202: $i] :
( ~ ( rel_s4 @ X176 @ X202 )
| ( front @ X178 @ X202 ) )
| ~ ! [X198: $i] :
( ~ ( rel_s4 @ X176 @ X198 )
| ( seat @ X178 @ X198 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ 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 )
=> ! [X102: mu] :
( ( exists_in_world @ X102 @ X6 )
=> ! [X104: mu] :
( ( exists_in_world @ X104 @ X6 )
=> ! [X106: mu] :
( ( exists_in_world @ X106 @ X6 )
=> ! [X108: mu] :
( ( exists_in_world @ X108 @ X6 )
=> ! [X110: mu] :
( ( exists_in_world @ X110 @ X6 )
=> ( ~ ! [X114: $i] :
( ~ ( rel_s4 @ X6 @ X114 )
| ( furniture @ X92 @ X114 ) )
| ~ ! [X118: $i] :
( ~ ( rel_s4 @ X6 @ X118 )
| ( hollywood @ X94 @ X118 ) )
| ~ ! [X122: $i] :
( ~ ( rel_s4 @ X6 @ X122 )
| ( event @ X96 @ X122 ) )
| ~ ! [X126: $i] :
( ~ ( rel_s4 @ X6 @ X126 )
| ( way @ X98 @ X126 ) )
| ~ ! [X130: $i] :
( ~ ( rel_s4 @ X6 @ X130 )
| ( chevy @ X100 @ X130 ) )
| ~ ! [X134: $i] :
( ~ ( rel_s4 @ X6 @ X134 )
| ( white @ X100 @ X134 ) )
| ~ ! [X138: $i] :
( ~ ( rel_s4 @ X6 @ X138 )
| ( old @ X100 @ X138 ) )
| ~ ! [X142: $i] :
( ~ ( rel_s4 @ X6 @ X142 )
| ( down @ X96 @ X98 @ X142 ) )
| ~ ! [X146: $i] :
( ~ ( rel_s4 @ X6 @ X146 )
| ( seat @ X106 @ X146 ) )
| ~ ! [X150: $i] :
( ~ ( rel_s4 @ X6 @ X150 )
| ( front @ X106 @ X150 ) )
| ~ ! [X156: $i] :
( ~ ( rel_s4 @ X6 @ X156 )
| ( fellow @ X102 @ X156 ) )
| ~ ! [X160: $i] :
( ~ ( rel_s4 @ X6 @ X160 )
| ( young @ X102 @ X160 ) )
| ~ ! [X164: $i] :
( ~ ( rel_s4 @ X6 @ X164 )
| ( man @ X104 @ X164 ) )
| ~ ! [X168: $i] :
( ~ ( rel_s4 @ X6 @ X168 )
| ( qmltpeq @ X102 @ X108 @ X168 ) )
| ~ ! [X172: $i] :
( ~ ( rel_s4 @ X6 @ X172 )
| ( qmltpeq @ X104 @ X110 @ X172 ) )
| ~ ! [X174: $i] :
( ~ ( rel_s4 @ X6 @ X174 )
| ( in @ X110 @ X106 @ X174 ) )
| ~ ! [X170: $i] :
( ~ ( rel_s4 @ X6 @ X170 )
| ( in @ X108 @ X92 @ X170 ) )
| ~ ! [X166: $i] :
( ~ ( rel_s4 @ X6 @ X166 )
| ( young @ X104 @ X166 ) )
| ~ ! [X162: $i] :
( ~ ( rel_s4 @ X6 @ X162 )
| ( fellow @ X104 @ X162 ) )
| ~ ! [X158: $i] :
( ~ ( rel_s4 @ X6 @ X158 )
| ( man @ X102 @ X158 ) )
| ~ ! [X152: $i] :
( ~ ( rel_s4 @ X6 @ X152 )
| ~ ! [X154: $i] :
( ~ ( rel_s4 @ X152 @ X154 )
| ( qmltpeq @ X102 @ X104 @ X154 ) ) )
| ~ ! [X148: $i] :
( ~ ( rel_s4 @ X6 @ X148 )
| ( furniture @ X106 @ X148 ) )
| ~ ! [X144: $i] :
( ~ ( rel_s4 @ X6 @ X144 )
| ( in @ X96 @ X94 @ X144 ) )
| ~ ! [X140: $i] :
( ~ ( rel_s4 @ X6 @ X140 )
| ( barrel @ X96 @ X100 @ X140 ) )
| ~ ! [X136: $i] :
( ~ ( rel_s4 @ X6 @ X136 )
| ( dirty @ X100 @ X136 ) )
| ~ ! [X132: $i] :
( ~ ( rel_s4 @ X6 @ X132 )
| ( car @ X100 @ X132 ) )
| ~ ! [X128: $i] :
( ~ ( rel_s4 @ X6 @ X128 )
| ( lonely @ X98 @ X128 ) )
| ~ ! [X124: $i] :
( ~ ( rel_s4 @ X6 @ X124 )
| ( street @ X98 @ X124 ) )
| ~ ! [X120: $i] :
( ~ ( rel_s4 @ X6 @ X120 )
| ( city @ X94 @ X120 ) )
| ~ ! [X116: $i] :
( ~ ( rel_s4 @ X6 @ X116 )
| ( front @ X92 @ X116 ) )
| ~ ! [X112: $i] :
( ~ ( rel_s4 @ X6 @ X112 )
| ( seat @ X92 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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 )
=> ! [X26: mu] :
( ( exists_in_world @ X26 @ X6 )
=> ( ~ ! [X30: $i] :
( ~ ( rel_s4 @ X6 @ X30 )
| ( furniture @ X8 @ X30 ) )
| ~ ! [X34: $i] :
( ~ ( rel_s4 @ X6 @ X34 )
| ( hollywood @ X10 @ X34 ) )
| ~ ! [X38: $i] :
( ~ ( rel_s4 @ X6 @ X38 )
| ( event @ X12 @ X38 ) )
| ~ ! [X42: $i] :
( ~ ( rel_s4 @ X6 @ X42 )
| ( way @ X14 @ X42 ) )
| ~ ! [X46: $i] :
( ~ ( rel_s4 @ X6 @ X46 )
| ( chevy @ X16 @ X46 ) )
| ~ ! [X50: $i] :
( ~ ( rel_s4 @ X6 @ X50 )
| ( white @ X16 @ X50 ) )
| ~ ! [X54: $i] :
( ~ ( rel_s4 @ X6 @ X54 )
| ( old @ X16 @ X54 ) )
| ~ ! [X58: $i] :
( ~ ( rel_s4 @ X6 @ X58 )
| ( down @ X12 @ X14 @ X58 ) )
| ~ ! [X62: $i] :
( ~ ( rel_s4 @ X6 @ X62 )
| ( seat @ X22 @ X62 ) )
| ~ ! [X66: $i] :
( ~ ( rel_s4 @ X6 @ X66 )
| ( front @ X22 @ X66 ) )
| ~ ! [X72: $i] :
( ~ ( rel_s4 @ X6 @ X72 )
| ( fellow @ X18 @ X72 ) )
| ~ ! [X76: $i] :
( ~ ( rel_s4 @ X6 @ X76 )
| ( young @ X18 @ X76 ) )
| ~ ! [X80: $i] :
( ~ ( rel_s4 @ X6 @ X80 )
| ( man @ X20 @ X80 ) )
| ~ ! [X84: $i] :
( ~ ( rel_s4 @ X6 @ X84 )
| ( qmltpeq @ X18 @ X24 @ X84 ) )
| ~ ! [X88: $i] :
( ~ ( rel_s4 @ X6 @ X88 )
| ( qmltpeq @ X20 @ X26 @ X88 ) )
| ~ ! [X90: $i] :
( ~ ( rel_s4 @ X6 @ X90 )
| ( in @ X26 @ X8 @ X90 ) )
| ~ ! [X86: $i] :
( ~ ( rel_s4 @ X6 @ X86 )
| ( in @ X24 @ X22 @ X86 ) )
| ~ ! [X82: $i] :
( ~ ( rel_s4 @ X6 @ X82 )
| ( young @ X20 @ X82 ) )
| ~ ! [X78: $i] :
( ~ ( rel_s4 @ X6 @ X78 )
| ( fellow @ X20 @ X78 ) )
| ~ ! [X74: $i] :
( ~ ( rel_s4 @ X6 @ X74 )
| ( man @ X18 @ X74 ) )
| ~ ! [X68: $i] :
( ~ ( rel_s4 @ X6 @ X68 )
| ~ ! [X70: $i] :
( ~ ( rel_s4 @ X68 @ X70 )
| ( qmltpeq @ X18 @ X20 @ X70 ) ) )
| ~ ! [X64: $i] :
( ~ ( rel_s4 @ X6 @ X64 )
| ( furniture @ X22 @ X64 ) )
| ~ ! [X60: $i] :
( ~ ( rel_s4 @ X6 @ X60 )
| ( in @ X12 @ X10 @ X60 ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X6 @ X56 )
| ( barrel @ X12 @ X16 @ X56 ) )
| ~ ! [X52: $i] :
( ~ ( rel_s4 @ X6 @ X52 )
| ( dirty @ X16 @ X52 ) )
| ~ ! [X48: $i] :
( ~ ( rel_s4 @ X6 @ X48 )
| ( car @ X16 @ X48 ) )
| ~ ! [X44: $i] :
( ~ ( rel_s4 @ X6 @ X44 )
| ( lonely @ X14 @ X44 ) )
| ~ ! [X40: $i] :
( ~ ( rel_s4 @ X6 @ X40 )
| ( street @ X14 @ X40 ) )
| ~ ! [X36: $i] :
( ~ ( rel_s4 @ X6 @ X36 )
| ( city @ X10 @ X36 ) )
| ~ ! [X32: $i] :
( ~ ( rel_s4 @ X6 @ X32 )
| ( front @ X8 @ X32 ) )
| ~ ! [X28: $i] :
( ~ ( rel_s4 @ X6 @ X28 )
| ( seat @ X8 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ! [X176: $i] :
( ~ ( rel_s4 @ X4 @ X176 )
| ~ ! [X262: mu] :
( ( exists_in_world @ X262 @ X176 )
=> ! [X264: mu] :
( ( exists_in_world @ X264 @ X176 )
=> ! [X266: mu] :
( ( exists_in_world @ X266 @ X176 )
=> ! [X268: mu] :
( ( exists_in_world @ X268 @ X176 )
=> ! [X270: mu] :
( ( exists_in_world @ X270 @ X176 )
=> ! [X272: mu] :
( ( exists_in_world @ X272 @ X176 )
=> ! [X274: mu] :
( ( exists_in_world @ X274 @ X176 )
=> ! [X276: mu] :
( ( exists_in_world @ X276 @ X176 )
=> ! [X278: mu] :
( ( exists_in_world @ X278 @ X176 )
=> ! [X280: mu] :
( ( exists_in_world @ X280 @ X176 )
=> ( ~ ! [X284: $i] :
( ~ ( rel_s4 @ X176 @ X284 )
| ( furniture @ X262 @ X284 ) )
| ~ ! [X288: $i] :
( ~ ( rel_s4 @ X176 @ X288 )
| ( hollywood @ X264 @ X288 ) )
| ~ ! [X292: $i] :
( ~ ( rel_s4 @ X176 @ X292 )
| ( event @ X266 @ X292 ) )
| ~ ! [X296: $i] :
( ~ ( rel_s4 @ X176 @ X296 )
| ( way @ X268 @ X296 ) )
| ~ ! [X300: $i] :
( ~ ( rel_s4 @ X176 @ X300 )
| ( chevy @ X270 @ X300 ) )
| ~ ! [X304: $i] :
( ~ ( rel_s4 @ X176 @ X304 )
| ( white @ X270 @ X304 ) )
| ~ ! [X308: $i] :
( ~ ( rel_s4 @ X176 @ X308 )
| ( old @ X270 @ X308 ) )
| ~ ! [X312: $i] :
( ~ ( rel_s4 @ X176 @ X312 )
| ( down @ X266 @ X268 @ X312 ) )
| ~ ! [X316: $i] :
( ~ ( rel_s4 @ X176 @ X316 )
| ( seat @ X276 @ X316 ) )
| ~ ! [X320: $i] :
( ~ ( rel_s4 @ X176 @ X320 )
| ( front @ X276 @ X320 ) )
| ~ ! [X326: $i] :
( ~ ( rel_s4 @ X176 @ X326 )
| ( fellow @ X272 @ X326 ) )
| ~ ! [X330: $i] :
( ~ ( rel_s4 @ X176 @ X330 )
| ( young @ X272 @ X330 ) )
| ~ ! [X334: $i] :
( ~ ( rel_s4 @ X176 @ X334 )
| ( man @ X274 @ X334 ) )
| ~ ! [X338: $i] :
( ~ ( rel_s4 @ X176 @ X338 )
| ( qmltpeq @ X272 @ X278 @ X338 ) )
| ~ ! [X342: $i] :
( ~ ( rel_s4 @ X176 @ X342 )
| ( qmltpeq @ X274 @ X280 @ X342 ) )
| ~ ! [X344: $i] :
( ~ ( rel_s4 @ X176 @ X344 )
| ( in @ X280 @ X262 @ X344 ) )
| ~ ! [X340: $i] :
( ~ ( rel_s4 @ X176 @ X340 )
| ( in @ X278 @ X276 @ X340 ) )
| ~ ! [X336: $i] :
( ~ ( rel_s4 @ X176 @ X336 )
| ( young @ X274 @ X336 ) )
| ~ ! [X332: $i] :
( ~ ( rel_s4 @ X176 @ X332 )
| ( fellow @ X274 @ X332 ) )
| ~ ! [X328: $i] :
( ~ ( rel_s4 @ X176 @ X328 )
| ( man @ X272 @ X328 ) )
| ~ ! [X322: $i] :
( ~ ( rel_s4 @ X176 @ X322 )
| ~ ! [X324: $i] :
( ~ ( rel_s4 @ X322 @ X324 )
| ( qmltpeq @ X272 @ X274 @ X324 ) ) )
| ~ ! [X318: $i] :
( ~ ( rel_s4 @ X176 @ X318 )
| ( furniture @ X276 @ X318 ) )
| ~ ! [X314: $i] :
( ~ ( rel_s4 @ X176 @ X314 )
| ( in @ X266 @ X264 @ X314 ) )
| ~ ! [X310: $i] :
( ~ ( rel_s4 @ X176 @ X310 )
| ( barrel @ X266 @ X270 @ X310 ) )
| ~ ! [X306: $i] :
( ~ ( rel_s4 @ X176 @ X306 )
| ( dirty @ X270 @ X306 ) )
| ~ ! [X302: $i] :
( ~ ( rel_s4 @ X176 @ X302 )
| ( car @ X270 @ X302 ) )
| ~ ! [X298: $i] :
( ~ ( rel_s4 @ X176 @ X298 )
| ( lonely @ X268 @ X298 ) )
| ~ ! [X294: $i] :
( ~ ( rel_s4 @ X176 @ X294 )
| ( street @ X268 @ X294 ) )
| ~ ! [X290: $i] :
( ~ ( rel_s4 @ X176 @ X290 )
| ( city @ X264 @ X290 ) )
| ~ ! [X286: $i] :
( ~ ( rel_s4 @ X176 @ X286 )
| ( front @ X262 @ X286 ) )
| ~ ! [X282: $i] :
( ~ ( rel_s4 @ X176 @ X282 )
| ( seat @ X262 @ X282 ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X178: mu] :
( ( exists_in_world @ X178 @ X176 )
=> ! [X180: mu] :
( ( exists_in_world @ X180 @ X176 )
=> ! [X182: mu] :
( ( exists_in_world @ X182 @ X176 )
=> ! [X184: mu] :
( ( exists_in_world @ X184 @ X176 )
=> ! [X186: mu] :
( ( exists_in_world @ X186 @ X176 )
=> ! [X188: mu] :
( ( exists_in_world @ X188 @ X176 )
=> ! [X190: mu] :
( ( exists_in_world @ X190 @ X176 )
=> ! [X192: mu] :
( ( exists_in_world @ X192 @ X176 )
=> ! [X194: mu] :
( ( exists_in_world @ X194 @ X176 )
=> ! [X196: mu] :
( ( exists_in_world @ X196 @ X176 )
=> ( ~ ! [X200: $i] :
( ~ ( rel_s4 @ X176 @ X200 )
| ( furniture @ X178 @ X200 ) )
| ~ ! [X204: $i] :
( ~ ( rel_s4 @ X176 @ X204 )
| ( hollywood @ X180 @ X204 ) )
| ~ ! [X208: $i] :
( ~ ( rel_s4 @ X176 @ X208 )
| ( event @ X182 @ X208 ) )
| ~ ! [X212: $i] :
( ~ ( rel_s4 @ X176 @ X212 )
| ( way @ X184 @ X212 ) )
| ~ ! [X216: $i] :
( ~ ( rel_s4 @ X176 @ X216 )
| ( chevy @ X186 @ X216 ) )
| ~ ! [X220: $i] :
( ~ ( rel_s4 @ X176 @ X220 )
| ( white @ X186 @ X220 ) )
| ~ ! [X224: $i] :
( ~ ( rel_s4 @ X176 @ X224 )
| ( old @ X186 @ X224 ) )
| ~ ! [X228: $i] :
( ~ ( rel_s4 @ X176 @ X228 )
| ( down @ X182 @ X184 @ X228 ) )
| ~ ! [X232: $i] :
( ~ ( rel_s4 @ X176 @ X232 )
| ( seat @ X192 @ X232 ) )
| ~ ! [X236: $i] :
( ~ ( rel_s4 @ X176 @ X236 )
| ( front @ X192 @ X236 ) )
| ~ ! [X242: $i] :
( ~ ( rel_s4 @ X176 @ X242 )
| ( fellow @ X188 @ X242 ) )
| ~ ! [X246: $i] :
( ~ ( rel_s4 @ X176 @ X246 )
| ( young @ X188 @ X246 ) )
| ~ ! [X250: $i] :
( ~ ( rel_s4 @ X176 @ X250 )
| ( man @ X190 @ X250 ) )
| ~ ! [X254: $i] :
( ~ ( rel_s4 @ X176 @ X254 )
| ( qmltpeq @ X188 @ X194 @ X254 ) )
| ~ ! [X258: $i] :
( ~ ( rel_s4 @ X176 @ X258 )
| ( qmltpeq @ X190 @ X196 @ X258 ) )
| ~ ! [X260: $i] :
( ~ ( rel_s4 @ X176 @ X260 )
| ( in @ X196 @ X192 @ X260 ) )
| ~ ! [X256: $i] :
( ~ ( rel_s4 @ X176 @ X256 )
| ( in @ X194 @ X178 @ X256 ) )
| ~ ! [X252: $i] :
( ~ ( rel_s4 @ X176 @ X252 )
| ( young @ X190 @ X252 ) )
| ~ ! [X248: $i] :
( ~ ( rel_s4 @ X176 @ X248 )
| ( fellow @ X190 @ X248 ) )
| ~ ! [X244: $i] :
( ~ ( rel_s4 @ X176 @ X244 )
| ( man @ X188 @ X244 ) )
| ~ ! [X238: $i] :
( ~ ( rel_s4 @ X176 @ X238 )
| ~ ! [X240: $i] :
( ~ ( rel_s4 @ X238 @ X240 )
| ( qmltpeq @ X188 @ X190 @ X240 ) ) )
| ~ ! [X234: $i] :
( ~ ( rel_s4 @ X176 @ X234 )
| ( furniture @ X192 @ X234 ) )
| ~ ! [X230: $i] :
( ~ ( rel_s4 @ X176 @ X230 )
| ( in @ X182 @ X180 @ X230 ) )
| ~ ! [X226: $i] :
( ~ ( rel_s4 @ X176 @ X226 )
| ( barrel @ X182 @ X186 @ X226 ) )
| ~ ! [X222: $i] :
( ~ ( rel_s4 @ X176 @ X222 )
| ( dirty @ X186 @ X222 ) )
| ~ ! [X218: $i] :
( ~ ( rel_s4 @ X176 @ X218 )
| ( car @ X186 @ X218 ) )
| ~ ! [X214: $i] :
( ~ ( rel_s4 @ X176 @ X214 )
| ( lonely @ X184 @ X214 ) )
| ~ ! [X210: $i] :
( ~ ( rel_s4 @ X176 @ X210 )
| ( street @ X184 @ X210 ) )
| ~ ! [X206: $i] :
( ~ ( rel_s4 @ X176 @ X206 )
| ( city @ X180 @ X206 ) )
| ~ ! [X202: $i] :
( ~ ( rel_s4 @ X176 @ X202 )
| ( front @ X178 @ X202 ) )
| ~ ! [X198: $i] :
( ~ ( rel_s4 @ X176 @ X198 )
| ( seat @ X178 @ X198 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X6: $i] :
( ~ ( rel_s4 @ X4 @ 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 )
=> ! [X102: mu] :
( ( exists_in_world @ X102 @ X6 )
=> ! [X104: mu] :
( ( exists_in_world @ X104 @ X6 )
=> ! [X106: mu] :
( ( exists_in_world @ X106 @ X6 )
=> ! [X108: mu] :
( ( exists_in_world @ X108 @ X6 )
=> ! [X110: mu] :
( ( exists_in_world @ X110 @ X6 )
=> ( ~ ! [X114: $i] :
( ~ ( rel_s4 @ X6 @ X114 )
| ( furniture @ X92 @ X114 ) )
| ~ ! [X118: $i] :
( ~ ( rel_s4 @ X6 @ X118 )
| ( hollywood @ X94 @ X118 ) )
| ~ ! [X122: $i] :
( ~ ( rel_s4 @ X6 @ X122 )
| ( event @ X96 @ X122 ) )
| ~ ! [X126: $i] :
( ~ ( rel_s4 @ X6 @ X126 )
| ( way @ X98 @ X126 ) )
| ~ ! [X130: $i] :
( ~ ( rel_s4 @ X6 @ X130 )
| ( chevy @ X100 @ X130 ) )
| ~ ! [X134: $i] :
( ~ ( rel_s4 @ X6 @ X134 )
| ( white @ X100 @ X134 ) )
| ~ ! [X138: $i] :
( ~ ( rel_s4 @ X6 @ X138 )
| ( old @ X100 @ X138 ) )
| ~ ! [X142: $i] :
( ~ ( rel_s4 @ X6 @ X142 )
| ( down @ X96 @ X98 @ X142 ) )
| ~ ! [X146: $i] :
( ~ ( rel_s4 @ X6 @ X146 )
| ( seat @ X106 @ X146 ) )
| ~ ! [X150: $i] :
( ~ ( rel_s4 @ X6 @ X150 )
| ( front @ X106 @ X150 ) )
| ~ ! [X156: $i] :
( ~ ( rel_s4 @ X6 @ X156 )
| ( fellow @ X102 @ X156 ) )
| ~ ! [X160: $i] :
( ~ ( rel_s4 @ X6 @ X160 )
| ( young @ X102 @ X160 ) )
| ~ ! [X164: $i] :
( ~ ( rel_s4 @ X6 @ X164 )
| ( man @ X104 @ X164 ) )
| ~ ! [X168: $i] :
( ~ ( rel_s4 @ X6 @ X168 )
| ( qmltpeq @ X102 @ X108 @ X168 ) )
| ~ ! [X172: $i] :
( ~ ( rel_s4 @ X6 @ X172 )
| ( qmltpeq @ X104 @ X110 @ X172 ) )
| ~ ! [X174: $i] :
( ~ ( rel_s4 @ X6 @ X174 )
| ( in @ X110 @ X106 @ X174 ) )
| ~ ! [X170: $i] :
( ~ ( rel_s4 @ X6 @ X170 )
| ( in @ X108 @ X92 @ X170 ) )
| ~ ! [X166: $i] :
( ~ ( rel_s4 @ X6 @ X166 )
| ( young @ X104 @ X166 ) )
| ~ ! [X162: $i] :
( ~ ( rel_s4 @ X6 @ X162 )
| ( fellow @ X104 @ X162 ) )
| ~ ! [X158: $i] :
( ~ ( rel_s4 @ X6 @ X158 )
| ( man @ X102 @ X158 ) )
| ~ ! [X152: $i] :
( ~ ( rel_s4 @ X6 @ X152 )
| ~ ! [X154: $i] :
( ~ ( rel_s4 @ X152 @ X154 )
| ( qmltpeq @ X102 @ X104 @ X154 ) ) )
| ~ ! [X148: $i] :
( ~ ( rel_s4 @ X6 @ X148 )
| ( furniture @ X106 @ X148 ) )
| ~ ! [X144: $i] :
( ~ ( rel_s4 @ X6 @ X144 )
| ( in @ X96 @ X94 @ X144 ) )
| ~ ! [X140: $i] :
( ~ ( rel_s4 @ X6 @ X140 )
| ( barrel @ X96 @ X100 @ X140 ) )
| ~ ! [X136: $i] :
( ~ ( rel_s4 @ X6 @ X136 )
| ( dirty @ X100 @ X136 ) )
| ~ ! [X132: $i] :
( ~ ( rel_s4 @ X6 @ X132 )
| ( car @ X100 @ X132 ) )
| ~ ! [X128: $i] :
( ~ ( rel_s4 @ X6 @ X128 )
| ( lonely @ X98 @ X128 ) )
| ~ ! [X124: $i] :
( ~ ( rel_s4 @ X6 @ X124 )
| ( street @ X98 @ X124 ) )
| ~ ! [X120: $i] :
( ~ ( rel_s4 @ X6 @ X120 )
| ( city @ X94 @ X120 ) )
| ~ ! [X116: $i] :
( ~ ( rel_s4 @ X6 @ X116 )
| ( front @ X92 @ X116 ) )
| ~ ! [X112: $i] :
( ~ ( rel_s4 @ X6 @ X112 )
| ( seat @ X92 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [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 )
=> ! [X26: mu] :
( ( exists_in_world @ X26 @ X6 )
=> ( ~ ! [X30: $i] :
( ~ ( rel_s4 @ X6 @ X30 )
| ( furniture @ X8 @ X30 ) )
| ~ ! [X34: $i] :
( ~ ( rel_s4 @ X6 @ X34 )
| ( hollywood @ X10 @ X34 ) )
| ~ ! [X38: $i] :
( ~ ( rel_s4 @ X6 @ X38 )
| ( event @ X12 @ X38 ) )
| ~ ! [X42: $i] :
( ~ ( rel_s4 @ X6 @ X42 )
| ( way @ X14 @ X42 ) )
| ~ ! [X46: $i] :
( ~ ( rel_s4 @ X6 @ X46 )
| ( chevy @ X16 @ X46 ) )
| ~ ! [X50: $i] :
( ~ ( rel_s4 @ X6 @ X50 )
| ( white @ X16 @ X50 ) )
| ~ ! [X54: $i] :
( ~ ( rel_s4 @ X6 @ X54 )
| ( old @ X16 @ X54 ) )
| ~ ! [X58: $i] :
( ~ ( rel_s4 @ X6 @ X58 )
| ( down @ X12 @ X14 @ X58 ) )
| ~ ! [X62: $i] :
( ~ ( rel_s4 @ X6 @ X62 )
| ( seat @ X22 @ X62 ) )
| ~ ! [X66: $i] :
( ~ ( rel_s4 @ X6 @ X66 )
| ( front @ X22 @ X66 ) )
| ~ ! [X72: $i] :
( ~ ( rel_s4 @ X6 @ X72 )
| ( fellow @ X18 @ X72 ) )
| ~ ! [X76: $i] :
( ~ ( rel_s4 @ X6 @ X76 )
| ( young @ X18 @ X76 ) )
| ~ ! [X80: $i] :
( ~ ( rel_s4 @ X6 @ X80 )
| ( man @ X20 @ X80 ) )
| ~ ! [X84: $i] :
( ~ ( rel_s4 @ X6 @ X84 )
| ( qmltpeq @ X18 @ X24 @ X84 ) )
| ~ ! [X88: $i] :
( ~ ( rel_s4 @ X6 @ X88 )
| ( qmltpeq @ X20 @ X26 @ X88 ) )
| ~ ! [X90: $i] :
( ~ ( rel_s4 @ X6 @ X90 )
| ( in @ X26 @ X8 @ X90 ) )
| ~ ! [X86: $i] :
( ~ ( rel_s4 @ X6 @ X86 )
| ( in @ X24 @ X22 @ X86 ) )
| ~ ! [X82: $i] :
( ~ ( rel_s4 @ X6 @ X82 )
| ( young @ X20 @ X82 ) )
| ~ ! [X78: $i] :
( ~ ( rel_s4 @ X6 @ X78 )
| ( fellow @ X20 @ X78 ) )
| ~ ! [X74: $i] :
( ~ ( rel_s4 @ X6 @ X74 )
| ( man @ X18 @ X74 ) )
| ~ ! [X68: $i] :
( ~ ( rel_s4 @ X6 @ X68 )
| ~ ! [X70: $i] :
( ~ ( rel_s4 @ X68 @ X70 )
| ( qmltpeq @ X18 @ X20 @ X70 ) ) )
| ~ ! [X64: $i] :
( ~ ( rel_s4 @ X6 @ X64 )
| ( furniture @ X22 @ X64 ) )
| ~ ! [X60: $i] :
( ~ ( rel_s4 @ X6 @ X60 )
| ( in @ X12 @ X10 @ X60 ) )
| ~ ! [X56: $i] :
( ~ ( rel_s4 @ X6 @ X56 )
| ( barrel @ X12 @ X16 @ X56 ) )
| ~ ! [X52: $i] :
( ~ ( rel_s4 @ X6 @ X52 )
| ( dirty @ X16 @ X52 ) )
| ~ ! [X48: $i] :
( ~ ( rel_s4 @ X6 @ X48 )
| ( car @ X16 @ X48 ) )
| ~ ! [X44: $i] :
( ~ ( rel_s4 @ X6 @ X44 )
| ( lonely @ X14 @ X44 ) )
| ~ ! [X40: $i] :
( ~ ( rel_s4 @ X6 @ X40 )
| ( street @ X14 @ X40 ) )
| ~ ! [X36: $i] :
( ~ ( rel_s4 @ X6 @ X36 )
| ( city @ X10 @ X36 ) )
| ~ ! [X32: $i] :
( ~ ( rel_s4 @ X6 @ X32 )
| ( front @ X8 @ X32 ) )
| ~ ! [X28: $i] :
( ~ ( rel_s4 @ X6 @ X28 )
| ( seat @ X8 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y11 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( hollywood @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( event @ Y4 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( way @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( chevy @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( white @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( old @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( down @ Y4 @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y8 @ Y11 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y11 @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y10 @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( (~)
@ ( !!
@ ^ [Y13: $i] :
( ( (~) @ ( rel_s4 @ Y12 @ Y13 ) )
| ( qmltpeq @ Y7 @ Y8 @ Y13 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y4 @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( barrel @ Y4 @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( dirty @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( car @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( lonely @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( street @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( city @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y2 @ Y12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y11 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( hollywood @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( event @ Y4 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( way @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( chevy @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( white @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( old @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( down @ Y4 @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y8 @ Y11 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y11 @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y10 @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( (~)
@ ( !!
@ ^ [Y13: $i] :
( ( (~) @ ( rel_s4 @ Y12 @ Y13 ) )
| ( qmltpeq @ Y7 @ Y8 @ Y13 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y4 @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( barrel @ Y4 @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( dirty @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( car @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( lonely @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( street @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( city @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y2 @ Y12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y11 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( hollywood @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( event @ Y4 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( way @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( chevy @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( white @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( old @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( down @ Y4 @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y8 @ Y11 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y11 @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y10 @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( (~)
@ ( !!
@ ^ [Y13: $i] :
( ( (~) @ ( rel_s4 @ Y12 @ Y13 ) )
| ( qmltpeq @ Y7 @ Y8 @ Y13 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y4 @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( barrel @ Y4 @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( dirty @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( car @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( lonely @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( street @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( city @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y2 @ Y12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y11 @ Y1 )
=> ( ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( hollywood @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( event @ Y4 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( way @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( chevy @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( white @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( old @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( down @ Y4 @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( qmltpeq @ Y8 @ Y11 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y11 @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y10 @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( young @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( fellow @ Y8 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( man @ Y7 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( (~)
@ ( !!
@ ^ [Y13: $i] :
( ( (~) @ ( rel_s4 @ Y12 @ Y13 ) )
| ( qmltpeq @ Y7 @ Y8 @ Y13 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( furniture @ Y9 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( in @ Y4 @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( barrel @ Y4 @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( dirty @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( car @ Y6 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( lonely @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( street @ Y5 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( city @ Y3 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( front @ Y2 @ Y12 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y12 ) )
| ( seat @ Y2 @ Y12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ 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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y9 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y8 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y9 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y9 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y9 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y8 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ X2 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ X2 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ X6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ X6 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ X6 @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ X6 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ X6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ X6 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ X6 @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ X6 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ X6 @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ X6 @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ X6 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ X6 @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ X6 @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ X6 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ X6 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ X6 @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ X6 @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ X6 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ X6 @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ X6 @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ X6 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ X12 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X12 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ X6 @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ X6 @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ X6 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ X12 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X12 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ X6 @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ X6 @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ X6 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X12 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X14 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X12 @ X14 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ X6 @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ X6 @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ X6 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X12 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ X14 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X12 @ X14 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ X6 @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ X6 @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ X6 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X12 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X14 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X12 @ X14 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ X6 @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ X6 @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ X6 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X12 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ X14 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X12 @ X14 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ X6 @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ X6 @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ X2 @ Y2 ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ X6 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X12 @ X18 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X14 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X18 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X12 @ X14 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X6 @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ X6 @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ X6 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X12 @ X18 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ X14 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X18 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X12 @ X14 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ X6 @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ X6 @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ X2 @ Y1 ) ) ) ) ) ) )
| ~ ( 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_cl107,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( ( exists_in_world @ X20 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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_forall,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl112,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( exists_in_world @ X20 @ '#sk4' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) )
| ~ ( 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' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl147,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl211,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) ) )
| ( furniture @ X2 @ ( '#sk26' @ X2 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl277,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl313,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl277]) ).
thf(zip_derived_cl313_001,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl277]) ).
thf(zip_derived_cl324,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl326,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl313,zip_derived_cl324]) ).
thf(zip_derived_cl276,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl312,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl276]) ).
thf(zip_derived_cl322,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl336,plain,
! [X6: mu] :
( ( '#form37' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ 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,X20: mu] :
( ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl326,zip_derived_cl336]) ).
thf(zip_derived_cl340_002,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl326,zip_derived_cl336]) ).
thf(zip_derived_cl354,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl340,zip_derived_cl354]) ).
thf(zip_derived_cl322_003,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl336_004,plain,
! [X6: mu] :
( ( '#form37' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ 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,X20: mu] :
( ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl322,zip_derived_cl336]) ).
thf(zip_derived_cl324_005,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl338,zip_derived_cl324]) ).
thf(zip_derived_cl364,plain,
! [X8: mu] :
( ( '#form45' @ 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,X20: mu] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl356,zip_derived_cl364]) ).
thf(zip_derived_cl368_006,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl356,zip_derived_cl364]) ).
thf(zip_derived_cl382,plain,
! [X4: mu] :
( ( '#form49' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl368,zip_derived_cl382]) ).
thf(zip_derived_cl350_007,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl338,zip_derived_cl324]) ).
thf(zip_derived_cl364_008,plain,
! [X8: mu] :
( ( '#form45' @ 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,X20: mu] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl350,zip_derived_cl364]) ).
thf(zip_derived_cl354_009,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl366,zip_derived_cl354]) ).
thf(zip_derived_cl392,plain,
! [X10: mu] :
( ( '#form53' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl384,zip_derived_cl392]) ).
thf(zip_derived_cl396_010,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl384,zip_derived_cl392]) ).
thf(zip_derived_cl410,plain,
! [X8: mu] :
( ( '#form57' @ 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,X20: mu] :
( ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl396,zip_derived_cl410]) ).
thf(zip_derived_cl378_011,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl366,zip_derived_cl354]) ).
thf(zip_derived_cl392_012,plain,
! [X10: mu] :
( ( '#form53' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl378,zip_derived_cl392]) ).
thf(zip_derived_cl382_013,plain,
! [X4: mu] :
( ( '#form49' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl394,zip_derived_cl382]) ).
thf(zip_derived_cl420,plain,
! [X10: mu] :
( ( '#form61' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl412,zip_derived_cl420]) ).
thf(zip_derived_cl424_014,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl412,zip_derived_cl420]) ).
thf(zip_derived_cl438,plain,
! [X8: mu] :
( ( '#form65' @ 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,X20: mu] :
( ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl424,zip_derived_cl438]) ).
thf(zip_derived_cl406_015,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl394,zip_derived_cl382]) ).
thf(zip_derived_cl420_016,plain,
! [X10: mu] :
( ( '#form61' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl406,zip_derived_cl420]) ).
thf(zip_derived_cl410_017,plain,
! [X8: mu] :
( ( '#form57' @ 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,X20: mu] :
( ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl422,zip_derived_cl410]) ).
thf(zip_derived_cl448,plain,
! [X10: mu] :
( ( '#form69' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl440,zip_derived_cl448]) ).
thf(zip_derived_cl452_018,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl440,zip_derived_cl448]) ).
thf(zip_derived_cl466,plain,
! [X10: mu] :
( ( '#form73' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl452,zip_derived_cl466]) ).
thf(zip_derived_cl434_019,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl422,zip_derived_cl410]) ).
thf(zip_derived_cl448_020,plain,
! [X10: mu] :
( ( '#form69' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl434,zip_derived_cl448]) ).
thf(zip_derived_cl438_021,plain,
! [X8: mu] :
( ( '#form65' @ 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,X20: mu] :
( ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl450,zip_derived_cl438]) ).
thf(zip_derived_cl476,plain,
! [X6: mu,X8: mu] :
( ( '#form77' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl468,zip_derived_cl476]) ).
thf(zip_derived_cl480_022,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl468,zip_derived_cl476]) ).
thf(zip_derived_cl494,plain,
! [X10: mu] :
( ( '#form81' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ 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,X20: mu] :
( ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl480,zip_derived_cl494]) ).
thf(zip_derived_cl324_023,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl504,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl496,zip_derived_cl324]) ).
thf(zip_derived_cl504_024,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl496,zip_derived_cl324]) ).
thf(zip_derived_cl514,plain,
! [X6: mu,X10: mu] :
( ( '#form85' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl516,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl504,zip_derived_cl514]) ).
thf(zip_derived_cl354_025,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl524,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl516,zip_derived_cl354]) ).
thf(zip_derived_cl524_026,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl516,zip_derived_cl354]) ).
thf(zip_derived_cl534,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl536,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl524,zip_derived_cl534]) ).
thf(zip_derived_cl462_027,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl450,zip_derived_cl438]) ).
thf(zip_derived_cl476_028,plain,
! [X6: mu,X8: mu] :
( ( '#form77' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl462,zip_derived_cl476]) ).
thf(zip_derived_cl466_029,plain,
! [X10: mu] :
( ( '#form73' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl478,zip_derived_cl466]) ).
thf(zip_derived_cl324_030,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl490,zip_derived_cl324]) ).
thf(zip_derived_cl494_031,plain,
! [X10: mu] :
( ( '#form81' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl512,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl502,zip_derived_cl494]) ).
thf(zip_derived_cl354_032,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl522,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl512,zip_derived_cl354]) ).
thf(zip_derived_cl514_033,plain,
! [X6: mu,X10: mu] :
( ( '#form85' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ 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,X20: mu] :
( ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl522,zip_derived_cl514]) ).
thf(zip_derived_cl544,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ 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,X20: mu] :
( ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl536,zip_derived_cl544]) ).
thf(zip_derived_cl548_034,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl536,zip_derived_cl544]) ).
thf(zip_derived_cl562,plain,
! [X16: mu] :
( ( '#form96' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl564,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl548,zip_derived_cl562]) ).
thf(zip_derived_cl532_035,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl522,zip_derived_cl514]) ).
thf(zip_derived_cl544_036,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ 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,X20: mu] :
( ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl532,zip_derived_cl544]) ).
thf(zip_derived_cl534_037,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl558,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl546,zip_derived_cl534]) ).
thf(zip_derived_cl572,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ 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,X20: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl564,zip_derived_cl572]) ).
thf(zip_derived_cl576_038,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl564,zip_derived_cl572]) ).
thf(zip_derived_cl590,plain,
! [X12: mu,X14: mu] :
( ( '#form103' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
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,X20: mu] :
( ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl576,zip_derived_cl590]) ).
thf(zip_derived_cl558_039,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl546,zip_derived_cl534]) ).
thf(zip_derived_cl572_040,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ 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,X20: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl558,zip_derived_cl572]) ).
thf(zip_derived_cl562_041,plain,
! [X16: mu] :
( ( '#form96' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ 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,X20: mu] :
( ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl574,zip_derived_cl562]) ).
thf(zip_derived_cl600,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl604,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl592,zip_derived_cl600]) ).
thf(zip_derived_cl600_042,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl617,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl604,zip_derived_cl600]) ).
thf(zip_derived_cl586_043,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl574,zip_derived_cl562]) ).
thf(zip_derived_cl600_044,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl586,zip_derived_cl600]) ).
thf(zip_derived_cl590_045,plain,
! [X12: mu,X14: mu] :
( ( '#form103' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl613,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl602,zip_derived_cl590]) ).
thf(zip_derived_cl625,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl629,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl617,zip_derived_cl625]) ).
thf(zip_derived_cl544_046,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl640,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl629,zip_derived_cl544]) ).
thf(zip_derived_cl625_047,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl646,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl640,zip_derived_cl625]) ).
thf(zip_derived_cl572_048,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl652,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form99' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl646,zip_derived_cl572]) ).
thf(zip_derived_cl534_049,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl658,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form99' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl652,zip_derived_cl534]) ).
thf(zip_derived_cl534_050,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl664,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X2 @ X18 )
| ~ ( '#form99' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk26' @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form89' @ X16 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl658,zip_derived_cl534]) ).
thf(zip_derived_cl672,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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'
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form99' @ X14 )
| ~ ( '#form89' @ X2 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl664]) ).
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: mu] :
( ( exists_in_world @ Y9 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y9 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ '#sk6' @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y8 @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( front @ '#sk6' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y9 ) )
| ( seat @ '#sk6' @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ '#sk6' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
( ( exists_in_world @ '#sk8' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl382_051,plain,
! [X4: mu] :
( ( '#form49' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl383,plain,
! [X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk50' @ X4 ) ) )
| ( city @ X4 @ ( '#sk50' @ X4 ) ) )
| ( '#form49' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl397,plain,
! [X4: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk50' @ X4 ) )
| ( '#form49' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl383]) ).
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: mu] :
( ( exists_in_world @ Y7 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( hollywood @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y7 @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( in @ Y0 @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( city @ '#sk8' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( front @ '#sk6' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y8 ) )
| ( seat @ '#sk6' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ '#sk10' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ '#sk10' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ '#sk10' @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ '#sk10' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ '#sk6' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( hollywood @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( event @ '#sk10' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( down @ '#sk10' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y6 @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( in @ '#sk10' @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( barrel @ '#sk10' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( city @ '#sk8' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( front @ '#sk6' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y7 ) )
| ( seat @ '#sk6' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ '#sk10' @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ '#sk10' @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ '#sk10' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ '#sk6' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y5 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( hollywood @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( event @ '#sk10' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( way @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( down @ '#sk10' @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y5 @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( in @ '#sk10' @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( barrel @ '#sk10' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( lonely @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( street @ '#sk12' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( city @ '#sk8' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( front @ '#sk6' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y6 ) )
| ( seat @ '#sk6' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ '#sk10' @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ '#sk10' @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ '#sk6' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( hollywood @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( event @ '#sk10' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( way @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( chevy @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( white @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( old @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( down @ '#sk10' @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y4 @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( in @ '#sk10' @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( dirty @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( car @ '#sk14' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( lonely @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( street @ '#sk12' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( city @ '#sk8' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( front @ '#sk6' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y5 ) )
| ( seat @ '#sk6' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ '#sk10' @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ '#sk16' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ '#sk10' @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ '#sk6' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( hollywood @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( event @ '#sk10' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( way @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( chevy @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( white @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( old @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( down @ '#sk10' @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ '#sk16' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y3 @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( man @ '#sk16' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( in @ '#sk10' @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( dirty @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( car @ '#sk14' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( lonely @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( street @ '#sk12' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( city @ '#sk8' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( front @ '#sk6' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y4 ) )
| ( seat @ '#sk6' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ '#sk10' @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk16' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk18' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ '#sk10' @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ '#sk6' @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y2 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( hollywood @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( event @ '#sk10' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( way @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( chevy @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( white @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( old @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( down @ '#sk10' @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk16' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( qmltpeq @ '#sk18' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y2 @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( young @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( fellow @ '#sk18' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( man @ '#sk16' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( in @ '#sk10' @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( dirty @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( car @ '#sk14' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( lonely @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( street @ '#sk12' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( city @ '#sk8' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( front @ '#sk6' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y3 ) )
| ( seat @ '#sk6' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| '#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: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ '#sk10' @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk18' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ '#sk10' @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk6' @ Y2 ) ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl94,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( hollywood @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( event @ '#sk10' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( way @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( chevy @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( white @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( old @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( down @ '#sk10' @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk16' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( qmltpeq @ '#sk18' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y1 @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ Y0 @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( young @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( fellow @ '#sk18' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( man @ '#sk16' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( furniture @ '#sk20' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( in @ '#sk10' @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( dirty @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( car @ '#sk14' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( lonely @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( street @ '#sk12' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( city @ '#sk8' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( front @ '#sk6' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y2 ) )
| ( seat @ '#sk6' @ Y2 ) ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl98,plain,
( ~ ( ( exists_in_world @ '#sk22' @ '#sk4' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ '#sk10' @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk18' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk22' @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk10' @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk6' @ Y1 ) ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl104,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( hollywood @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( event @ '#sk10' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( way @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( chevy @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( white @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( old @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( down @ '#sk10' @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( qmltpeq @ '#sk18' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ Y0 @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk22' @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( young @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( fellow @ '#sk18' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( man @ '#sk16' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( furniture @ '#sk20' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( in @ '#sk10' @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( dirty @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( car @ '#sk14' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( lonely @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( street @ '#sk12' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( city @ '#sk8' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( front @ '#sk6' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y1 ) )
| ( seat @ '#sk6' @ Y1 ) ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl108,plain,
( ~ ( ( exists_in_world @ '#sk24' @ '#sk4' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk10' @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk18' @ '#sk24' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk24' @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk10' @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk6' @ Y0 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl114,plain,
( ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk10' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk10' @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk20' @ 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 ) )
| ( man @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk18' @ '#sk24' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk24' @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk18' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk20' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk10' @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk14' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk12' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk8' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk6' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk6' @ Y0 ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl149,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( hollywood @ '#sk8' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl213,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( hollywood @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl279,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( hollywood @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl323,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl336_052,plain,
! [X6: mu] :
( ( '#form37' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ 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,X20: mu] :
( ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl323,zip_derived_cl336]) ).
thf(zip_derived_cl324_053,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl339,zip_derived_cl324]) ).
thf(zip_derived_cl364_054,plain,
! [X8: mu] :
( ( '#form45' @ 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,X20: mu] :
( ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl353,zip_derived_cl364]) ).
thf(zip_derived_cl354_055,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl367,zip_derived_cl354]) ).
thf(zip_derived_cl392_056,plain,
! [X10: mu] :
( ( '#form53' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( city @ X4 @ 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl381,zip_derived_cl392]) ).
thf(zip_derived_cl382_057,plain,
! [X4: mu] :
( ( '#form49' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl395,zip_derived_cl382]) ).
thf(zip_derived_cl420_058,plain,
! [X10: mu] :
( ( '#form61' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl409,zip_derived_cl420]) ).
thf(zip_derived_cl410_059,plain,
! [X8: mu] :
( ( '#form57' @ 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,X20: mu] :
( ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl423,zip_derived_cl410]) ).
thf(zip_derived_cl448_060,plain,
! [X10: mu] :
( ( '#form69' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl437,zip_derived_cl448]) ).
thf(zip_derived_cl438_061,plain,
! [X8: mu] :
( ( '#form65' @ 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,X20: mu] :
( ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl451,zip_derived_cl438]) ).
thf(zip_derived_cl476_062,plain,
! [X6: mu,X8: mu] :
( ( '#form77' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl465,zip_derived_cl476]) ).
thf(zip_derived_cl466_063,plain,
! [X10: mu] :
( ( '#form73' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl479,zip_derived_cl466]) ).
thf(zip_derived_cl324_064,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl503,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl493,zip_derived_cl324]) ).
thf(zip_derived_cl494_065,plain,
! [X10: mu] :
( ( '#form81' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ 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,X20: mu] :
( ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl503,zip_derived_cl494]) ).
thf(zip_derived_cl354_066,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl523,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl513,zip_derived_cl354]) ).
thf(zip_derived_cl514_067,plain,
! [X6: mu,X10: mu] :
( ( '#form85' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ 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,X20: mu] :
( ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl523,zip_derived_cl514]) ).
thf(zip_derived_cl544_068,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ 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,X20: mu] :
( ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl533,zip_derived_cl544]) ).
thf(zip_derived_cl534_069,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ 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,X20: mu] :
( ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl547,zip_derived_cl534]) ).
thf(zip_derived_cl572_070,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ 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,X20: mu] :
( ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl561,zip_derived_cl572]) ).
thf(zip_derived_cl562_071,plain,
! [X16: mu] :
( ( '#form96' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ 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,X20: mu] :
( ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk4' )
| ~ ( exists_in_world @ X18 @ '#sk4' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl575,zip_derived_cl562]) ).
thf(zip_derived_cl600_072,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl589,zip_derived_cl600]) ).
thf(zip_derived_cl590_073,plain,
! [X12: mu,X14: mu] :
( ( '#form103' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
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,X20: mu] :
( ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl603,zip_derived_cl590]) ).
thf(zip_derived_cl625_074,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl628,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl616,zip_derived_cl625]) ).
thf(zip_derived_cl600_075,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl639,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl628,zip_derived_cl600]) ).
thf(zip_derived_cl625_076,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl645,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl639,zip_derived_cl625]) ).
thf(zip_derived_cl544_077,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl651,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl645,zip_derived_cl544]) ).
thf(zip_derived_cl534_078,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl657,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl651,zip_derived_cl534]) ).
thf(zip_derived_cl572_079,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl663,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form99' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form89' @ X16 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl657,zip_derived_cl572]) ).
thf(zip_derived_cl534_080,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl670,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X2 @ X18 )
| ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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'
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form99' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl663,zip_derived_cl534]) ).
thf(zip_derived_cl170,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk10' @ '#sk8' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl234,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk10' @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl300,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk10' @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl176,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( city @ '#sk8' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl240,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( city @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl176]) ).
thf(zip_derived_cl306,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( city @ '#sk8' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl398,plain,
! [X4: mu] :
( ~ ( city @ X4 @ ( '#sk50' @ X4 ) )
| ( '#form49' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl83,plain,
( ( exists_in_world @ '#sk18' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl73,plain,
( ( exists_in_world @ '#sk16' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl93,plain,
( ( exists_in_world @ '#sk20' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl103,plain,
( ( exists_in_world @ '#sk22' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl169,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk20' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl233,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( furniture @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl299,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( furniture @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl671,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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'
| ~ ( furniture @ X2 @ ( '#sk26' @ X2 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form99' @ X14 )
| ~ ( '#form89' @ X2 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl664]) ).
thf(zip_derived_cl600_081,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl601,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk108' @ X14 ) ) )
| ( man @ X14 @ ( '#sk108' @ X14 ) ) )
| ( '#form107' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl600]) ).
thf(zip_derived_cl614,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk108' @ X14 ) )
| ( '#form107' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl601]) ).
thf(zip_derived_cl572_082,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl573,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk100' @ X12 ) ) )
| ( young @ X12 @ ( '#sk100' @ X12 ) ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl572]) ).
thf(zip_derived_cl587,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk100' @ X12 ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl544_083,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl545,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk94' @ X12 ) ) )
| ( fellow @ X12 @ ( '#sk94' @ X12 ) ) )
| ( '#form93' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl544]) ).
thf(zip_derived_cl559,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk94' @ X12 ) )
| ( '#form93' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl625_084,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl626,plain,
! [X12: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk112' @ X12 @ X18 ) ) )
| ( qmltpeq @ X12 @ X18 @ ( '#sk112' @ X12 @ X18 ) ) )
| ( '#form111' @ X12 @ X18 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl625]) ).
thf(zip_derived_cl637,plain,
! [X12: mu,X18: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk112' @ X12 @ X18 ) )
| ( '#form111' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl626]) ).
thf(zip_derived_cl23,plain,
( ( exists_in_world @ '#sk6' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl113,plain,
( ( exists_in_world @ '#sk24' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl63,plain,
( ( exists_in_world @ '#sk14' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl160,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl224,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( man @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl160]) ).
thf(zip_derived_cl290,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( man @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl167,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl231,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( man @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl297,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( man @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl615,plain,
! [X14: mu] :
( ~ ( man @ X14 @ ( '#sk108' @ X14 ) )
| ( '#form107' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl601]) ).
thf(zip_derived_cl165,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl229,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( young @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl295,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( young @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl159,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl223,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( young @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl289,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( young @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl223]) ).
thf(zip_derived_cl588,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk100' @ X12 ) )
| ( '#form99' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl166,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl230,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( fellow @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl296,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( fellow @ '#sk18' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl158,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ '#sk16' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl222,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( fellow @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl288,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( fellow @ '#sk16' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl560,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk94' @ X12 ) )
| ( '#form93' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl161,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl225,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( qmltpeq @ '#sk16' @ '#sk22' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl291,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( qmltpeq @ '#sk16' @ '#sk22' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl162,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ '#sk18' @ '#sk24' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl226,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( qmltpeq @ '#sk18' @ '#sk24' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl292,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( qmltpeq @ '#sk18' @ '#sk24' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl638,plain,
! [X12: mu,X18: mu] :
( ~ ( qmltpeq @ X12 @ X18 @ ( '#sk112' @ X12 @ X18 ) )
| ( '#form111' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl626]) ).
thf(zip_derived_cl590_085,plain,
! [X12: mu,X14: mu] :
( ( '#form103' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl591,plain,
! [X12: mu,X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk104' @ X12 @ X14 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk104' @ X12 @ X14 ) @ Y0 ) )
| ( qmltpeq @ X12 @ X14 @ Y0 ) ) ) ) )
| ( '#form103' @ X12 @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl590]) ).
thf(zip_derived_cl605,plain,
! [X12: mu,X14: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk104' @ X12 @ X14 ) )
| ( '#form103' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl591]) ).
thf(zip_derived_cl168,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y1 ) ) ) ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl232,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y0 ) ) ) )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl298,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl314,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X2 @ ( '#sk30' @ X2 ) ) )
| ( qmltpeq @ '#sk16' @ '#sk18' @ ( '#sk30' @ X2 ) ) )
| '#form3'
| ~ ( rel_s4 @ '#sk4' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl328,plain,
! [X2: $i] :
( ~ ( qmltpeq @ '#sk16' @ '#sk18' @ ( '#sk30' @ X2 ) )
| ~ ( rel_s4 @ '#sk4' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl314]) ).
thf(zip_derived_cl53,plain,
( ( exists_in_world @ '#sk12' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl43,plain,
( ( exists_in_world @ '#sk10' @ '#sk4' )
| '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl327,plain,
! [X2: $i] :
( ( rel_s4 @ X2 @ ( '#sk30' @ X2 ) )
| ~ ( rel_s4 @ '#sk4' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl314]) ).
thf(zip_derived_cl606,plain,
! [X12: mu,X14: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk104' @ X12 @ X14 ) @ Y0 ) )
| ( qmltpeq @ X12 @ X14 @ Y0 ) ) )
| ( '#form103' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl591]) ).
thf(zip_derived_cl618,plain,
! [X12: mu,X14: mu,X16: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk104' @ X12 @ X14 ) @ X16 ) )
| ( qmltpeq @ X12 @ X14 @ X16 )
| ( '#form103' @ X12 @ X14 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl606]) ).
thf(zip_derived_cl630,plain,
! [X12: mu,X14: mu,X16: $i] :
( ~ ( rel_s4 @ ( '#sk104' @ X12 @ X14 ) @ X16 )
| ( qmltpeq @ X12 @ X14 @ X16 )
| ( '#form103' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl618]) ).
thf(zip_derived_cl157,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk20' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl221,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( front @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl287,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( front @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl156,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk20' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl220,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( seat @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl286,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( seat @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl164,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk22' @ '#sk20' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl228,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk22' @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl164]) ).
thf(zip_derived_cl294,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk22' @ '#sk20' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl228]) ).
thf(zip_derived_cl562_086,plain,
! [X16: mu] :
( ( '#form96' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl563,plain,
! [X16: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk26' @ X16 ) ) )
| ( furniture @ X16 @ ( '#sk26' @ X16 ) ) )
| ( '#form96' @ X16 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl562]) ).
thf(zip_derived_cl577,plain,
! [X16: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk26' @ X16 ) )
| ( '#form96' @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl563]) ).
thf(zip_derived_cl354_087,plain,
! [X2: mu] :
( ( '#form41' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl355,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk42' @ X2 ) ) )
| ( front @ X2 @ ( '#sk42' @ X2 ) ) )
| ( '#form41' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl369,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk42' @ X2 ) )
| ( '#form41' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl324_088,plain,
! [X2: mu] :
( ( '#form33' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl325,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk34' @ X2 ) ) )
| ( seat @ X2 @ ( '#sk34' @ X2 ) ) )
| ( '#form33' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl324]) ).
thf(zip_derived_cl341,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk34' @ X2 ) )
| ( '#form33' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl534_089,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl535,plain,
! [X4: mu,X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk90' @ X4 @ X6 ) ) )
| ( in @ X6 @ X4 @ ( '#sk90' @ X4 @ X6 ) ) )
| ( '#form89' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl534]) ).
thf(zip_derived_cl549,plain,
! [X4: mu,X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk90' @ X4 @ X6 ) )
| ( '#form89' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl535]) ).
thf(zip_derived_cl392_090,plain,
! [X10: mu] :
( ( '#form53' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl393,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk54' @ X10 ) ) )
| ( chevy @ X10 @ ( '#sk54' @ X10 ) ) )
| ( '#form53' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl392]) ).
thf(zip_derived_cl407,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk54' @ X10 ) )
| ( '#form53' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl420_091,plain,
! [X10: mu] :
( ( '#form61' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl421,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk62' @ X10 ) ) )
| ( white @ X10 @ ( '#sk62' @ X10 ) ) )
| ( '#form61' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl420]) ).
thf(zip_derived_cl435,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk62' @ X10 ) )
| ( '#form61' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl421]) ).
thf(zip_derived_cl448_092,plain,
! [X10: mu] :
( ( '#form69' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl449,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk70' @ X10 ) ) )
| ( old @ X10 @ ( '#sk70' @ X10 ) ) )
| ( '#form69' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl448]) ).
thf(zip_derived_cl463,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk70' @ X10 ) )
| ( '#form69' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl466_093,plain,
! [X10: mu] :
( ( '#form73' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl467,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk74' @ X10 ) ) )
| ( car @ X10 @ ( '#sk74' @ X10 ) ) )
| ( '#form73' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl466]) ).
thf(zip_derived_cl481,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk74' @ X10 ) )
| ( '#form73' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl467]) ).
thf(zip_derived_cl494_094,plain,
! [X10: mu] :
( ( '#form81' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl495,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk82' @ X10 ) ) )
| ( dirty @ X10 @ ( '#sk82' @ X10 ) ) )
| ( '#form81' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl494]) ).
thf(zip_derived_cl505,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk82' @ X10 ) )
| ( '#form81' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl514_095,plain,
! [X6: mu,X10: mu] :
( ( '#form85' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl515,plain,
! [X6: mu,X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk86' @ X6 @ X10 ) ) )
| ( barrel @ X6 @ X10 @ ( '#sk86' @ X6 @ X10 ) ) )
| ( '#form85' @ X6 @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl525,plain,
! [X6: mu,X10: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk86' @ X6 @ X10 ) )
| ( '#form85' @ X6 @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl148,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( furniture @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl212,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( furniture @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl278,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( furniture @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl578,plain,
! [X16: mu] :
( ~ ( furniture @ X16 @ ( '#sk26' @ X16 ) )
| ( '#form96' @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl563]) ).
thf(zip_derived_cl177,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( front @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl241,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( front @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl307,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( front @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl370,plain,
! [X2: mu] :
( ~ ( front @ X2 @ ( '#sk42' @ X2 ) )
| ( '#form41' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl178,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( seat @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl242,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( seat @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl308,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( seat @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl342,plain,
! [X2: mu] :
( ~ ( seat @ X2 @ ( '#sk34' @ X2 ) )
| ( '#form33' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl163,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ '#sk24' @ '#sk6' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl227,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( in @ '#sk24' @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl293,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( in @ '#sk24' @ '#sk6' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl227]) ).
thf(zip_derived_cl550,plain,
! [X4: mu,X6: mu] :
( ~ ( in @ X6 @ X4 @ ( '#sk90' @ X4 @ X6 ) )
| ( '#form89' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl535]) ).
thf(zip_derived_cl152,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( chevy @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl216,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( chevy @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl282,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( chevy @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl408,plain,
! [X10: mu] :
( ~ ( chevy @ X10 @ ( '#sk54' @ X10 ) )
| ( '#form53' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl393]) ).
thf(zip_derived_cl153,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( white @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl217,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( white @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl283,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( white @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl436,plain,
! [X10: mu] :
( ~ ( white @ X10 @ ( '#sk62' @ X10 ) )
| ( '#form61' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl421]) ).
thf(zip_derived_cl154,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( old @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl218,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( old @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl284,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( old @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl464,plain,
! [X10: mu] :
( ~ ( old @ X10 @ ( '#sk70' @ X10 ) )
| ( '#form69' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl449]) ).
thf(zip_derived_cl173,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( car @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl237,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( car @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl303,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( car @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl482,plain,
! [X10: mu] :
( ~ ( car @ X10 @ ( '#sk74' @ X10 ) )
| ( '#form73' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl467]) ).
thf(zip_derived_cl172,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( dirty @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl236,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( dirty @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl302,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( dirty @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl506,plain,
! [X10: mu] :
( ~ ( dirty @ X10 @ ( '#sk82' @ X10 ) )
| ( '#form81' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl495]) ).
thf(zip_derived_cl171,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( barrel @ '#sk10' @ '#sk14' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl235,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( barrel @ '#sk10' @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl301,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( barrel @ '#sk10' @ '#sk14' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl526,plain,
! [X6: mu,X10: mu] :
( ~ ( barrel @ X6 @ X10 @ ( '#sk86' @ X6 @ X10 ) )
| ( '#form85' @ X6 @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl336_096,plain,
! [X6: mu] :
( ( '#form37' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl337,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk38' @ X6 ) ) )
| ( event @ X6 @ ( '#sk38' @ X6 ) ) )
| ( '#form37' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl336]) ).
thf(zip_derived_cl351,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk38' @ X6 ) )
| ( '#form37' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl364_097,plain,
! [X8: mu] :
( ( '#form45' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl365,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk46' @ X8 ) ) )
| ( way @ X8 @ ( '#sk46' @ X8 ) ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl364]) ).
thf(zip_derived_cl379,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk46' @ X8 ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl410_098,plain,
! [X8: mu] :
( ( '#form57' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl411,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk58' @ X8 ) ) )
| ( street @ X8 @ ( '#sk58' @ X8 ) ) )
| ( '#form57' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl410]) ).
thf(zip_derived_cl425,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk58' @ X8 ) )
| ( '#form57' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl438_099,plain,
! [X8: mu] :
( ( '#form65' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl439,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk66' @ X8 ) ) )
| ( lonely @ X8 @ ( '#sk66' @ X8 ) ) )
| ( '#form65' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl438]) ).
thf(zip_derived_cl453,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk66' @ X8 ) )
| ( '#form65' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl476_100,plain,
! [X6: mu,X8: mu] :
( ( '#form77' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl477,plain,
! [X6: mu,X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk4' @ ( '#sk78' @ X6 @ X8 ) ) )
| ( down @ X6 @ X8 @ ( '#sk78' @ X6 @ X8 ) ) )
| ( '#form77' @ X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl491,plain,
! [X6: mu,X8: mu] :
( ( rel_s4 @ '#sk4' @ ( '#sk78' @ X6 @ X8 ) )
| ( '#form77' @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl613_101,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl602,zip_derived_cl590]) ).
thf(zip_derived_cl625_102,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl627,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl613,zip_derived_cl625]) ).
thf(zip_derived_cl600_103,plain,
! [X14: mu] :
( ( '#form107' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl636,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl627,zip_derived_cl600]) ).
thf(zip_derived_cl625_104,plain,
! [X12: mu,X18: mu] :
( ( '#form111' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl644,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl636,zip_derived_cl625]) ).
thf(zip_derived_cl544_105,plain,
! [X12: mu] :
( ( '#form93' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl650,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X20 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl644,zip_derived_cl544]) ).
thf(zip_derived_cl534_106,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl656,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl650,zip_derived_cl534]) ).
thf(zip_derived_cl572_107,plain,
! [X12: mu] :
( ( '#form99' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl662,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form99' @ X14 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form33' @ X2 )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( '#form37' @ X6 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form89' @ X16 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl656,zip_derived_cl572]) ).
thf(zip_derived_cl534_108,plain,
! [X4: mu,X6: mu] :
( ( '#form89' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl669,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form89' @ X2 @ X18 )
| ~ ( '#form89' @ X16 @ X20 )
| ~ ( '#form111' @ X14 @ X20 )
| ~ ( '#form111' @ X12 @ X18 )
| ~ ( '#form107' @ X14 )
| ~ ( '#form99' @ X12 )
| ~ ( '#form93' @ X12 )
| ~ ( '#form41' @ X16 )
| ~ ( '#form33' @ X16 )
| ~ ( '#form77' @ X6 @ X8 )
| ~ ( '#form69' @ X10 )
| ~ ( '#form61' @ X10 )
| ~ ( '#form53' @ X10 )
| ~ ( '#form45' @ X8 )
| ~ ( '#form37' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk4' )
| ~ ( 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'
| ( rel_s4 @ '#sk4' @ ( '#sk26' @ X2 ) )
| ( rel_s4 @ '#sk4' @ ( '#sk29' @ X4 ) )
| ~ ( '#form33' @ X2 )
| ~ ( '#form41' @ X2 )
| ~ ( '#form49' @ X4 )
| ~ ( '#form57' @ X8 )
| ~ ( '#form65' @ X8 )
| ~ ( '#form73' @ X10 )
| ~ ( '#form81' @ X10 )
| ~ ( '#form85' @ X6 @ X10 )
| ~ ( '#form89' @ X4 @ X6 )
| ~ ( '#form96' @ X16 )
| ~ ( '#form103' @ X12 @ X14 )
| ~ ( '#form107' @ X12 )
| ~ ( '#form93' @ X14 )
| ~ ( '#form99' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl662,zip_derived_cl534]) ).
thf(zip_derived_cl150,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( event @ '#sk10' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl214,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( event @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl150]) ).
thf(zip_derived_cl280,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( event @ '#sk10' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl352,plain,
! [X6: mu] :
( ~ ( event @ X6 @ ( '#sk38' @ X6 ) )
| ( '#form37' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl151,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( way @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl215,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( way @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl281,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( way @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl215]) ).
thf(zip_derived_cl380,plain,
! [X8: mu] :
( ~ ( way @ X8 @ ( '#sk46' @ X8 ) )
| ( '#form45' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl175,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( street @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl239,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( street @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl305,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( street @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl426,plain,
! [X8: mu] :
( ~ ( street @ X8 @ ( '#sk58' @ X8 ) )
| ( '#form57' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl174,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( lonely @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl238,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( lonely @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl304,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( lonely @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl238]) ).
thf(zip_derived_cl454,plain,
! [X8: mu] :
( ~ ( lonely @ X8 @ ( '#sk66' @ X8 ) )
| ( '#form65' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl155,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ Y0 ) )
| ( down @ '#sk10' @ '#sk12' @ Y0 ) ) )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl219,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk4' @ X2 ) )
| ( down @ '#sk10' @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl285,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk4' @ X2 )
| ( down @ '#sk10' @ '#sk12' @ X2 )
| '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl492,plain,
! [X6: mu,X8: mu] :
( ~ ( down @ X6 @ X8 @ ( '#sk78' @ X6 @ X8 ) )
| ( '#form77' @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl477]) ).
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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ 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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_109,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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ X2 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ X2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ X2 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ X4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ X2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ X2 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ X6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ X6 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ X6 @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ X6 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ X6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ X6 @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ X6 @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ X6 @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ X4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ X2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ X2 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ X6 @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ X6 @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ X6 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ X6 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ X6 @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ X6 @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ X6 @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ X8 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ X4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ X2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ X2 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ X6 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ X6 @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ X6 @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ X6 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ X6 @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ X6 @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ X6 @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ X10 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( lonely @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( street @ X8 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( city @ X4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ X2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ X2 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ X6 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ X12 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X12 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ X6 @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ X6 @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ X6 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ X6 @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ X12 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ X12 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ X12 @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ X6 @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ X6 @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ X10 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( lonely @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( street @ X8 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( city @ X4 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ X2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ X2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ X6 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X12 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X14 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X12 @ X14 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ X6 @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ X6 @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ X6 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ X6 @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X12 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ X14 @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ X14 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ X12 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ X12 @ X14 @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ X6 @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ X6 @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ X10 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( lonely @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( street @ X8 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( city @ X4 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ X2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ X2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ X6 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X12 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X14 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X12 @ X14 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ X6 @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ X6 @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ X6 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ X6 @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X12 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ X14 @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ X14 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ X12 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ X12 @ X14 @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ X16 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ X6 @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ X6 @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ X10 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( lonely @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( street @ X8 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( city @ X4 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ X2 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ X2 @ Y2 ) ) ) ) ) ) ) ) )
| ~ ( 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: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ X6 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X12 @ X18 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X14 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X18 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X12 @ X14 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X6 @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ X6 @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ 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' )
| ~ ( 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: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ X6 @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X12 @ X18 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ X14 @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X18 @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ X14 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ X12 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ X12 @ X14 @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ X16 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ X6 @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ X6 @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ X10 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( lonely @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( street @ X8 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( city @ X4 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ X2 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ X2 @ Y1 ) ) ) ) ) ) )
| ~ ( 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,X20: mu] :
( ( ( exists_in_world @ X20 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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_forall,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl109,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( exists_in_world @ X20 @ '#sk2' )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) )
| ~ ( 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' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl115,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl179,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) ) )
| ( furniture @ X2 @ ( '#sk25' @ X2 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl244,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl310,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl310_110,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl317,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl319,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl310,zip_derived_cl317]) ).
thf(zip_derived_cl243,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl309,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl315,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl329,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ 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,X20: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl319,zip_derived_cl329]) ).
thf(zip_derived_cl333_111,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl319,zip_derived_cl329]) ).
thf(zip_derived_cl347,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl333,zip_derived_cl347]) ).
thf(zip_derived_cl315_112,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl329_113,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ 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,X20: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl315,zip_derived_cl329]) ).
thf(zip_derived_cl317_114,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl331,zip_derived_cl317]) ).
thf(zip_derived_cl357,plain,
! [X8: mu] :
( ( '#form43' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ 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,X20: mu] :
( ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl349,zip_derived_cl357]) ).
thf(zip_derived_cl361_115,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl349,zip_derived_cl357]) ).
thf(zip_derived_cl375,plain,
! [X4: mu] :
( ( '#form47' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl361,zip_derived_cl375]) ).
thf(zip_derived_cl343_116,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl331,zip_derived_cl317]) ).
thf(zip_derived_cl357_117,plain,
! [X8: mu] :
( ( '#form43' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ 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,X20: mu] :
( ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl343,zip_derived_cl357]) ).
thf(zip_derived_cl347_118,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl359,zip_derived_cl347]) ).
thf(zip_derived_cl385,plain,
! [X10: mu] :
( ( '#form51' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl377,zip_derived_cl385]) ).
thf(zip_derived_cl389_119,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl377,zip_derived_cl385]) ).
thf(zip_derived_cl403,plain,
! [X8: mu] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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,X20: mu] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl389,zip_derived_cl403]) ).
thf(zip_derived_cl371_120,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl359,zip_derived_cl347]) ).
thf(zip_derived_cl385_121,plain,
! [X10: mu] :
( ( '#form51' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl371,zip_derived_cl385]) ).
thf(zip_derived_cl375_122,plain,
! [X4: mu] :
( ( '#form47' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl387,zip_derived_cl375]) ).
thf(zip_derived_cl413,plain,
! [X10: mu] :
( ( '#form59' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl405,zip_derived_cl413]) ).
thf(zip_derived_cl417_123,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl405,zip_derived_cl413]) ).
thf(zip_derived_cl431,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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,X20: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl417,zip_derived_cl431]) ).
thf(zip_derived_cl399_124,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl387,zip_derived_cl375]) ).
thf(zip_derived_cl413_125,plain,
! [X10: mu] :
( ( '#form59' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl399,zip_derived_cl413]) ).
thf(zip_derived_cl403_126,plain,
! [X8: mu] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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,X20: mu] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl415,zip_derived_cl403]) ).
thf(zip_derived_cl441,plain,
! [X10: mu] :
( ( '#form67' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl433,zip_derived_cl441]) ).
thf(zip_derived_cl445_127,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl433,zip_derived_cl441]) ).
thf(zip_derived_cl459,plain,
! [X10: mu] :
( ( '#form71' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl445,zip_derived_cl459]) ).
thf(zip_derived_cl427_128,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl415,zip_derived_cl403]) ).
thf(zip_derived_cl441_129,plain,
! [X10: mu] :
( ( '#form67' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl427,zip_derived_cl441]) ).
thf(zip_derived_cl431_130,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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,X20: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl443,zip_derived_cl431]) ).
thf(zip_derived_cl469,plain,
! [X6: mu,X8: mu] :
( ( '#form75' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl461,zip_derived_cl469]) ).
thf(zip_derived_cl473_131,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl461,zip_derived_cl469]) ).
thf(zip_derived_cl487,plain,
! [X10: mu] :
( ( '#form79' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ 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,X20: mu] :
( ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl473,zip_derived_cl487]) ).
thf(zip_derived_cl317_132,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl489,zip_derived_cl317]) ).
thf(zip_derived_cl499_133,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl489,zip_derived_cl317]) ).
thf(zip_derived_cl509,plain,
! [X6: mu,X10: mu] :
( ( '#form83' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl511,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl499,zip_derived_cl509]) ).
thf(zip_derived_cl347_134,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl519,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl511,zip_derived_cl347]) ).
thf(zip_derived_cl519_135,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl511,zip_derived_cl347]) ).
thf(zip_derived_cl529,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ 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,X20: mu] :
( ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl519,zip_derived_cl529]) ).
thf(zip_derived_cl455_136,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl443,zip_derived_cl431]) ).
thf(zip_derived_cl469_137,plain,
! [X6: mu,X8: mu] :
( ( '#form75' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl455,zip_derived_cl469]) ).
thf(zip_derived_cl459_138,plain,
! [X10: mu] :
( ( '#form71' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl471,zip_derived_cl459]) ).
thf(zip_derived_cl317_139,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl497,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl483,zip_derived_cl317]) ).
thf(zip_derived_cl487_140,plain,
! [X10: mu] :
( ( '#form79' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ 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,X20: mu] :
( ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl497,zip_derived_cl487]) ).
thf(zip_derived_cl347_141,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl507,zip_derived_cl347]) ).
thf(zip_derived_cl509_142,plain,
! [X6: mu,X10: mu] :
( ( '#form83' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl527,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl517,zip_derived_cl509]) ).
thf(zip_derived_cl537,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl541,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl531,zip_derived_cl537]) ).
thf(zip_derived_cl541_143,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl531,zip_derived_cl537]) ).
thf(zip_derived_cl555,plain,
! [X16: mu] :
( ( '#form95' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ 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,X20: mu] :
( ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl541,zip_derived_cl555]) ).
thf(zip_derived_cl527_144,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl517,zip_derived_cl509]) ).
thf(zip_derived_cl537_145,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ 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,X20: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl527,zip_derived_cl537]) ).
thf(zip_derived_cl529_146,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ 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,X20: mu] :
( ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl539,zip_derived_cl529]) ).
thf(zip_derived_cl565,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl569,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl557,zip_derived_cl565]) ).
thf(zip_derived_cl569_147,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl557,zip_derived_cl565]) ).
thf(zip_derived_cl583,plain,
! [X12: mu,X14: mu] :
( ( '#form101' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
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,X20: mu] :
( ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl569,zip_derived_cl583]) ).
thf(zip_derived_cl551_148,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl539,zip_derived_cl529]) ).
thf(zip_derived_cl565_149,plain,
! [X12: mu] :
( ( '#form97' @ 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,X20: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl551,zip_derived_cl565]) ).
thf(zip_derived_cl555_150,plain,
! [X16: mu] :
( ( '#form95' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ 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,X20: mu] :
( ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl567,zip_derived_cl555]) ).
thf(zip_derived_cl593,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl585,zip_derived_cl593]) ).
thf(zip_derived_cl593_151,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl597,zip_derived_cl593]) ).
thf(zip_derived_cl579_152,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl567,zip_derived_cl555]) ).
thf(zip_derived_cl593_153,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl579,zip_derived_cl593]) ).
thf(zip_derived_cl583_154,plain,
! [X12: mu,X14: mu] :
( ( '#form101' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
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,X20: mu] :
( ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl595,zip_derived_cl583]) ).
thf(zip_derived_cl619,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl623,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl611,zip_derived_cl619]) ).
thf(zip_derived_cl537_155,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl635,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl623,zip_derived_cl537]) ).
thf(zip_derived_cl619_156,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl643,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl635,zip_derived_cl619]) ).
thf(zip_derived_cl565_157,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl649,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form97' @ X14 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl643,zip_derived_cl565]) ).
thf(zip_derived_cl529_158,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl655,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form97' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl649,zip_derived_cl529]) ).
thf(zip_derived_cl529_159,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl661,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X16 @ X18 )
| ~ ( '#form97' @ X14 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( furniture @ X2 @ ( '#sk25' @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) ) )
| ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form87' @ X2 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl655,zip_derived_cl529]) ).
thf(zip_derived_cl668,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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'
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form97' @ X14 )
| ~ ( '#form87' @ X16 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl661]) ).
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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ 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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_160,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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [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: mu] :
( ( exists_in_world @ Y10 @ Y0 )
=> ( ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( hollywood @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( event @ Y3 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( way @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( chevy @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( white @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( old @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( down @ Y3 @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( qmltpeq @ Y7 @ Y10 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y10 @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y9 @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( young @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( fellow @ Y7 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( man @ Y6 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( (~)
@ ( !!
@ ^ [Y12: $i] :
( ( (~) @ ( rel_s4 @ Y11 @ Y12 ) )
| ( qmltpeq @ Y6 @ Y7 @ Y12 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( furniture @ Y8 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( in @ Y3 @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( barrel @ Y3 @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( dirty @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( car @ Y5 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( lonely @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( street @ Y4 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( city @ Y2 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( front @ Y1 @ Y11 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y11 ) )
| ( seat @ Y1 @ Y11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y9 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( hollywood @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( event @ Y2 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( way @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( chevy @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( white @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( old @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( down @ Y2 @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( qmltpeq @ Y6 @ Y9 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y9 @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y8 @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( young @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( fellow @ Y6 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( man @ Y5 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( (~)
@ ( !!
@ ^ [Y11: $i] :
( ( (~) @ ( rel_s4 @ Y10 @ Y11 ) )
| ( qmltpeq @ Y5 @ Y6 @ Y11 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( furniture @ Y7 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( in @ Y2 @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( barrel @ Y2 @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( dirty @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( car @ Y4 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( lonely @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( street @ Y3 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( city @ Y1 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( front @ Y0 @ Y10 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y10 ) )
| ( seat @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ '#sk5' @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y8 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( hollywood @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( event @ Y1 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( way @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( chevy @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( white @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( old @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( down @ Y1 @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( qmltpeq @ Y5 @ Y8 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y8 @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y7 @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( young @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( fellow @ Y5 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( man @ Y4 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( (~)
@ ( !!
@ ^ [Y10: $i] :
( ( (~) @ ( rel_s4 @ Y9 @ Y10 ) )
| ( qmltpeq @ Y4 @ Y5 @ Y10 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( furniture @ Y6 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( in @ Y1 @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( barrel @ Y1 @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( dirty @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( car @ Y3 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( lonely @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( street @ Y2 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( city @ Y0 @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( front @ '#sk5' @ Y9 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y9 ) )
| ( seat @ '#sk5' @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl30,plain,
( ( exists_in_world @ '#sk7' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
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: mu] :
( ( exists_in_world @ Y7 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( hollywood @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( event @ Y0 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( way @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( chevy @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( white @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( old @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( down @ Y0 @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( qmltpeq @ Y4 @ Y7 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y7 @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y6 @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( young @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( fellow @ Y4 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( man @ Y3 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( (~)
@ ( !!
@ ^ [Y9: $i] :
( ( (~) @ ( rel_s4 @ Y8 @ Y9 ) )
| ( qmltpeq @ Y3 @ Y4 @ Y9 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( furniture @ Y5 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( in @ Y0 @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( barrel @ Y0 @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( dirty @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( car @ Y2 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( lonely @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( street @ Y1 @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( city @ '#sk7' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( front @ '#sk5' @ Y8 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y8 ) )
| ( seat @ '#sk5' @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ '#sk9' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ '#sk9' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ '#sk9' @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ '#sk9' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y6 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( hollywood @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( event @ '#sk9' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( way @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( chevy @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( white @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( old @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( down @ '#sk9' @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( qmltpeq @ Y3 @ Y6 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y6 @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ Y5 @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( young @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( fellow @ Y3 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( man @ Y2 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( rel_s4 @ Y7 @ Y8 ) )
| ( qmltpeq @ Y2 @ Y3 @ Y8 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( furniture @ Y4 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( in @ '#sk9' @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( barrel @ '#sk9' @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( dirty @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( car @ Y1 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( lonely @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( street @ Y0 @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( city @ '#sk7' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( front @ '#sk5' @ Y7 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y7 ) )
| ( seat @ '#sk5' @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ '#sk9' @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ '#sk9' @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ '#sk9' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
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: mu] :
( ( exists_in_world @ Y5 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( hollywood @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( event @ '#sk9' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( way @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( chevy @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( white @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( old @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( down @ '#sk9' @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( qmltpeq @ Y2 @ Y5 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y5 @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ Y4 @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( young @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( fellow @ Y2 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( man @ Y1 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y7: $i] :
( ( (~) @ ( rel_s4 @ Y6 @ Y7 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y7 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( furniture @ Y3 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( in @ '#sk9' @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( barrel @ '#sk9' @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( dirty @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( car @ Y0 @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( lonely @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( street @ '#sk11' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( city @ '#sk7' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( front @ '#sk5' @ Y6 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y6 ) )
| ( seat @ '#sk5' @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ '#sk9' @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ '#sk9' @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y4 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( hollywood @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( event @ '#sk9' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( way @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( chevy @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( white @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( old @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( down @ '#sk9' @ '#sk11' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( qmltpeq @ Y1 @ Y4 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y4 @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ Y3 @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( young @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( fellow @ Y1 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( man @ Y0 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( rel_s4 @ Y5 @ Y6 ) )
| ( qmltpeq @ Y0 @ Y1 @ Y6 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( furniture @ Y2 @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( in @ '#sk9' @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( dirty @ '#sk13' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( front @ '#sk5' @ Y5 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y5 ) )
| ( seat @ '#sk5' @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ '#sk9' @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ '#sk15' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ '#sk9' @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y3 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( hollywood @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( event @ '#sk9' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( way @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( chevy @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( white @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( old @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( down @ '#sk9' @ '#sk11' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ '#sk15' @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( qmltpeq @ Y0 @ Y3 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y3 @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ Y2 @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( young @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( fellow @ Y0 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( man @ '#sk15' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( rel_s4 @ Y4 @ Y5 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y5 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( furniture @ Y1 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( in @ '#sk9' @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( dirty @ '#sk13' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( front @ '#sk5' @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y4 ) )
| ( seat @ '#sk5' @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ '#sk9' @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk15' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk17' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ '#sk9' @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y2 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( hollywood @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( event @ '#sk9' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( way @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( chevy @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( white @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( old @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( down @ '#sk9' @ '#sk11' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ Y0 @ 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 ) )
| ( man @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk15' @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( qmltpeq @ '#sk17' @ Y2 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y2 @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ Y1 @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( young @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( fellow @ '#sk17' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( man @ '#sk15' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( rel_s4 @ Y3 @ Y4 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y4 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( furniture @ Y0 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( in @ '#sk9' @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( dirty @ '#sk13' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( front @ '#sk5' @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y3 ) )
| ( seat @ '#sk5' @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ '#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: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ '#sk9' @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk17' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ '#sk9' @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk5' @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl91,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( hollywood @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( event @ '#sk9' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( way @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( chevy @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( white @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( old @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( down @ '#sk9' @ '#sk11' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk15' @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( qmltpeq @ '#sk17' @ Y1 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y1 @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ Y0 @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( young @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( fellow @ '#sk17' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( man @ '#sk15' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_s4 @ Y2 @ Y3 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y3 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( furniture @ '#sk19' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( in @ '#sk9' @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( dirty @ '#sk13' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( front @ '#sk5' @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y2 ) )
| ( seat @ '#sk5' @ Y2 ) ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl96,plain,
( ~ ( ( exists_in_world @ '#sk21' @ '#sk2' )
=> ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ '#sk9' @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk17' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk21' @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk9' @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk5' @ Y1 ) ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl101,plain,
( ~ ( !!
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( hollywood @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( event @ '#sk9' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( way @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( chevy @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( white @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( old @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( down @ '#sk9' @ '#sk11' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( qmltpeq @ '#sk17' @ Y0 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ Y0 @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk21' @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( young @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( fellow @ '#sk17' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( man @ '#sk15' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s4 @ Y1 @ Y2 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y2 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( furniture @ '#sk19' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( in @ '#sk9' @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( dirty @ '#sk13' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( front @ '#sk5' @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y1 ) )
| ( seat @ '#sk5' @ Y1 ) ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl106,plain,
( ~ ( ( exists_in_world @ '#sk23' @ '#sk2' )
=> ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk9' @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk17' @ '#sk23' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk23' @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk9' @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk5' @ Y0 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl111,plain,
( ~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk9' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk9' @ '#sk11' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk19' @ 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 ) )
| ( man @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk17' @ '#sk23' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk23' @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk17' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y1 ) ) ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk19' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk9' @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk13' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk13' @ 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 ) )
| ( city @ '#sk7' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk5' @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk5' @ Y0 ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl144,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ '#sk7' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl208,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( city @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl273,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( city @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl375_161,plain,
! [X4: mu] :
( ( '#form47' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl376,plain,
! [X4: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk48' @ X4 ) ) )
| ( city @ X4 @ ( '#sk48' @ X4 ) ) )
| ( '#form47' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl375]) ).
thf(zip_derived_cl391,plain,
! [X4: mu] :
( ~ ( city @ X4 @ ( '#sk48' @ X4 ) )
| ( '#form47' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl955,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk48' @ '#sk7' ) )
| ( '#form47' @ '#sk7' ) ),
inference('sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl391]) ).
thf(zip_derived_cl390,plain,
! [X4: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk48' @ X4 ) )
| ( '#form47' @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl376]) ).
thf(zip_derived_cl2157,plain,
( ( '#form47' @ '#sk7' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl955,zip_derived_cl390]) ).
thf(zip_derived_cl117,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( hollywood @ '#sk7' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl181,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( hollywood @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl246,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( hollywood @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl181]) ).
thf(zip_derived_cl316,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl329_162,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ 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,X20: mu] :
( ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl316,zip_derived_cl329]) ).
thf(zip_derived_cl317_163,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ 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,X20: mu] :
( ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl332,zip_derived_cl317]) ).
thf(zip_derived_cl357_164,plain,
! [X8: mu] :
( ( '#form43' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ 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,X20: mu] :
( ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl346,zip_derived_cl357]) ).
thf(zip_derived_cl347_165,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ 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,X20: mu] :
( ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl360,zip_derived_cl347]) ).
thf(zip_derived_cl385_166,plain,
! [X10: mu] :
( ( '#form51' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ 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,X20: mu] :
( ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( city @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl374,zip_derived_cl385]) ).
thf(zip_derived_cl375_167,plain,
! [X4: mu] :
( ( '#form47' @ X4 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( city @ X4 @ 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,X20: mu] :
( ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl388,zip_derived_cl375]) ).
thf(zip_derived_cl413_168,plain,
! [X10: mu] :
( ( '#form59' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ 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,X20: mu] :
( ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( street @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 ) ),
inference(renaming,[status(thm)],[zip_derived_cl402,zip_derived_cl413]) ).
thf(zip_derived_cl403_169,plain,
! [X8: mu] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ 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,X20: mu] :
( ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl416,zip_derived_cl403]) ).
thf(zip_derived_cl441_170,plain,
! [X10: mu] :
( ( '#form67' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ 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,X20: mu] :
( ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( lonely @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl430,zip_derived_cl441]) ).
thf(zip_derived_cl431_171,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ 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,X20: mu] :
( ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl444,zip_derived_cl431]) ).
thf(zip_derived_cl469_172,plain,
! [X6: mu,X8: mu] :
( ( '#form75' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
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,X20: mu] :
( ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( car @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl458,zip_derived_cl469]) ).
thf(zip_derived_cl459_173,plain,
! [X10: mu] :
( ( '#form71' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ 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,X20: mu] :
( ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 ) ),
inference(renaming,[status(thm)],[zip_derived_cl472,zip_derived_cl459]) ).
thf(zip_derived_cl317_174,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl498,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( dirty @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ 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 ) )
| ( front @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl486,zip_derived_cl317]) ).
thf(zip_derived_cl487_175,plain,
! [X10: mu] :
( ( '#form79' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl508,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X16 @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl498,zip_derived_cl487]) ).
thf(zip_derived_cl347_176,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl518,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl508,zip_derived_cl347]) ).
thf(zip_derived_cl509_177,plain,
! [X6: mu,X10: mu] :
( ( '#form83' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ 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,X20: mu] :
( ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ 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 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl518,zip_derived_cl509]) ).
thf(zip_derived_cl537_178,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ 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,X20: mu] :
( ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( in @ X6 @ X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 ) ),
inference(renaming,[status(thm)],[zip_derived_cl528,zip_derived_cl537]) ).
thf(zip_derived_cl529_179,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl554,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl540,zip_derived_cl529]) ).
thf(zip_derived_cl565_180,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ 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,X20: mu] :
( ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( furniture @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 ) ),
inference(renaming,[status(thm)],[zip_derived_cl554,zip_derived_cl565]) ).
thf(zip_derived_cl555_181,plain,
! [X16: mu] :
( ( '#form95' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ 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,X20: mu] :
( ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ 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' )
| ~ ( exists_in_world @ X16 @ '#sk2' )
| ~ ( exists_in_world @ X18 @ '#sk2' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl568,zip_derived_cl555]) ).
thf(zip_derived_cl593_182,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ 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,X20: mu] :
( ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X12 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 ) ),
inference(renaming,[status(thm)],[zip_derived_cl582,zip_derived_cl593]) ).
thf(zip_derived_cl583_183,plain,
! [X12: mu,X14: mu] :
( ( '#form101' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl610,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl596,zip_derived_cl583]) ).
thf(zip_derived_cl619_184,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl622,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl610,zip_derived_cl619]) ).
thf(zip_derived_cl593_185,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl634,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl622,zip_derived_cl593]) ).
thf(zip_derived_cl619_186,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl642,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl634,zip_derived_cl619]) ).
thf(zip_derived_cl537_187,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl648,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl642,zip_derived_cl537]) ).
thf(zip_derived_cl529_188,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl654,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl648,zip_derived_cl529]) ).
thf(zip_derived_cl565_189,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl660,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form97' @ X14 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form87' @ X2 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl654,zip_derived_cl565]) ).
thf(zip_derived_cl529_190,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl666,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X16 @ X18 )
| ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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'
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( hollywood @ X4 @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form97' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl660,zip_derived_cl529]) ).
thf(zip_derived_cl138,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk9' @ '#sk7' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl202,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk9' @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl267,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk9' @ '#sk7' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl70,plain,
( ( exists_in_world @ '#sk15' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl80,plain,
( ( exists_in_world @ '#sk17' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl126,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl190,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( fellow @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl255,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( fellow @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl537_191,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl538,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk92' @ X12 ) ) )
| ( fellow @ X12 @ ( '#sk92' @ X12 ) ) )
| ( '#form91' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl537]) ).
thf(zip_derived_cl553,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk92' @ X12 ) )
| ( '#form91' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl821,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk92' @ '#sk15' ) )
| ( '#form91' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl553]) ).
thf(zip_derived_cl552,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk92' @ X12 ) )
| ( '#form91' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl829,plain,
( ( '#form91' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl821,zip_derived_cl552]) ).
thf(zip_derived_cl134,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl198,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( fellow @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl263,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( fellow @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl553_192,plain,
! [X12: mu] :
( ~ ( fellow @ X12 @ ( '#sk92' @ X12 ) )
| ( '#form91' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl876,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk92' @ '#sk17' ) )
| ( '#form91' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl553]) ).
thf(zip_derived_cl552_193,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk92' @ X12 ) )
| ( '#form91' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl883,plain,
( ( '#form91' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl876,zip_derived_cl552]) ).
thf(zip_derived_cl127,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl191,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( young @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl256,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( young @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl565_194,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl566,plain,
! [X12: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) ) )
| ( young @ X12 @ ( '#sk98' @ X12 ) ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl581,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl834,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk98' @ '#sk15' ) )
| ( '#form97' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl581]) ).
thf(zip_derived_cl580,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl841,plain,
( ( '#form97' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl834,zip_derived_cl580]) ).
thf(zip_derived_cl133,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl197,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( young @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl262,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( young @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl197]) ).
thf(zip_derived_cl581_195,plain,
! [X12: mu] :
( ~ ( young @ X12 @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl864,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk98' @ '#sk17' ) )
| ( '#form97' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl581]) ).
thf(zip_derived_cl580_196,plain,
! [X12: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk98' @ X12 ) )
| ( '#form97' @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl871,plain,
( ( '#form97' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl864,zip_derived_cl580]) ).
thf(zip_derived_cl135,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk15' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl199,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( man @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl264,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( man @ '#sk15' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl593_197,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl594,plain,
! [X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk106' @ X14 ) ) )
| ( man @ X14 @ ( '#sk106' @ X14 ) ) )
| ( '#form105' @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl593]) ).
thf(zip_derived_cl609,plain,
! [X14: mu] :
( ~ ( man @ X14 @ ( '#sk106' @ X14 ) )
| ( '#form105' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl893,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk106' @ '#sk15' ) )
| ( '#form105' @ '#sk15' ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl609]) ).
thf(zip_derived_cl608,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk106' @ X14 ) )
| ( '#form105' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl903,plain,
( ( '#form105' @ '#sk15' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl893,zip_derived_cl608]) ).
thf(zip_derived_cl128,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl192,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( man @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl257,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( man @ '#sk17' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl609_198,plain,
! [X14: mu] :
( ~ ( man @ X14 @ ( '#sk106' @ X14 ) )
| ( '#form105' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl843,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk106' @ '#sk17' ) )
| ( '#form105' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl609]) ).
thf(zip_derived_cl608_199,plain,
! [X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk106' @ X14 ) )
| ( '#form105' @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl594]) ).
thf(zip_derived_cl853,plain,
( ( '#form105' @ '#sk17' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl843,zip_derived_cl608]) ).
thf(zip_derived_cl619_200,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl620,plain,
! [X12: mu,X18: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk110' @ X12 @ X18 ) ) )
| ( qmltpeq @ X12 @ X18 @ ( '#sk110' @ X12 @ X18 ) ) )
| ( '#form109' @ X12 @ X18 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl619]) ).
thf(zip_derived_cl632,plain,
! [X12: mu,X18: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk110' @ X12 @ X18 ) )
| ( '#form109' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl100,plain,
( ( exists_in_world @ '#sk21' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl20,plain,
( ( exists_in_world @ '#sk5' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl145,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl209,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( front @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl274,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( front @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl347_201,plain,
! [X2: mu] :
( ( '#form39' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl348,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk40' @ X2 ) ) )
| ( front @ X2 @ ( '#sk40' @ X2 ) ) )
| ( '#form39' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl347]) ).
thf(zip_derived_cl363,plain,
! [X2: mu] :
( ~ ( front @ X2 @ ( '#sk40' @ X2 ) )
| ( '#form39' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl977,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk40' @ '#sk5' ) )
| ( '#form39' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl363]) ).
thf(zip_derived_cl362,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk40' @ X2 ) )
| ( '#form39' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl2203,plain,
( ( '#form39' @ '#sk5' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl977,zip_derived_cl362]) ).
thf(zip_derived_cl137,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk19' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl201,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( furniture @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl266,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( furniture @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl667,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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'
| ~ ( furniture @ X2 @ ( '#sk25' @ X2 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form97' @ X14 )
| ~ ( '#form87' @ X16 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl661]) ).
thf(zip_derived_cl583_202,plain,
! [X12: mu,X14: mu] :
( ( '#form101' @ X12 @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ X12 @ X14 @ Y1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl584,plain,
! [X12: mu,X14: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk102' @ X12 @ X14 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk102' @ X12 @ X14 ) @ Y0 ) )
| ( qmltpeq @ X12 @ X14 @ Y0 ) ) ) ) )
| ( '#form101' @ X12 @ X14 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl583]) ).
thf(zip_derived_cl598,plain,
! [X12: mu,X14: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk102' @ X12 @ X14 ) )
| ( '#form101' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl136,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s4 @ Y0 @ Y1 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y1 ) ) ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl200,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y0 ) ) ) )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl265,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ X2 @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl311,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_s4 @ X2 @ ( '#sk28' @ X2 ) ) )
| ( qmltpeq @ '#sk15' @ '#sk17' @ ( '#sk28' @ X2 ) ) )
| ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl321,plain,
! [X2: $i] :
( ~ ( qmltpeq @ '#sk15' @ '#sk17' @ ( '#sk28' @ X2 ) )
| ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl317_203,plain,
! [X2: mu] :
( ( '#form31' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ X2 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl318,plain,
! [X2: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk32' @ X2 ) ) )
| ( seat @ X2 @ ( '#sk32' @ X2 ) ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl334,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl555_204,plain,
! [X16: mu] :
( ( '#form95' @ X16 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ X16 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl556,plain,
! [X16: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk25' @ X16 ) ) )
| ( furniture @ X16 @ ( '#sk25' @ X16 ) ) )
| ( '#form95' @ X16 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl555]) ).
thf(zip_derived_cl570,plain,
! [X16: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk25' @ X16 ) )
| ( '#form95' @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl556]) ).
thf(zip_derived_cl110,plain,
( ( exists_in_world @ '#sk23' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl90,plain,
( ( exists_in_world @ '#sk19' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl124,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk19' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl188,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( seat @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl253,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( seat @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl335,plain,
! [X2: mu] :
( ~ ( seat @ X2 @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl796,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk32' @ '#sk19' ) )
| ( '#form31' @ '#sk19' ) ),
inference('sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl335]) ).
thf(zip_derived_cl334_205,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl803,plain,
( ( '#form31' @ '#sk19' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl796,zip_derived_cl334]) ).
thf(zip_derived_cl125,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( front @ '#sk19' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl189,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( front @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl254,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( front @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl189]) ).
thf(zip_derived_cl363_206,plain,
! [X2: mu] :
( ~ ( front @ X2 @ ( '#sk40' @ X2 ) )
| ( '#form39' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl805,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk40' @ '#sk19' ) )
| ( '#form39' @ '#sk19' ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl363]) ).
thf(zip_derived_cl362_207,plain,
! [X2: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk40' @ X2 ) )
| ( '#form39' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl817,plain,
( ( '#form39' @ '#sk19' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl805,zip_derived_cl362]) ).
thf(zip_derived_cl130,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk17' @ '#sk23' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl194,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( qmltpeq @ '#sk17' @ '#sk23' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl259,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( qmltpeq @ '#sk17' @ '#sk23' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl129,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl193,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( qmltpeq @ '#sk15' @ '#sk21' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl258,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( qmltpeq @ '#sk15' @ '#sk21' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl633,plain,
! [X12: mu,X18: mu] :
( ~ ( qmltpeq @ X12 @ X18 @ ( '#sk110' @ X12 @ X18 ) )
| ( '#form109' @ X12 @ X18 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl320,plain,
! [X2: $i] :
( ( rel_s4 @ X2 @ ( '#sk28' @ X2 ) )
| ~ ( rel_s4 @ '#sk2' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl599,plain,
! [X12: mu,X14: mu] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk102' @ X12 @ X14 ) @ Y0 ) )
| ( qmltpeq @ X12 @ X14 @ Y0 ) ) )
| ( '#form101' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl612,plain,
! [X12: mu,X14: mu,X16: $i] :
( ( (~) @ ( rel_s4 @ ( '#sk102' @ X12 @ X14 ) @ X16 ) )
| ( qmltpeq @ X12 @ X14 @ X16 )
| ( '#form101' @ X12 @ X14 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl599]) ).
thf(zip_derived_cl624,plain,
! [X12: mu,X14: mu,X16: $i] :
( ~ ( rel_s4 @ ( '#sk102' @ X12 @ X14 ) @ X16 )
| ( qmltpeq @ X12 @ X14 @ X16 )
| ( '#form101' @ X12 @ X14 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl146,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( seat @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl210,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( seat @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl275,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( seat @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl335_208,plain,
! [X2: mu] :
( ~ ( seat @ X2 @ ( '#sk32' @ X2 ) )
| ( '#form31' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl116,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( furniture @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl180,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( furniture @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl245,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( furniture @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl180]) ).
thf(zip_derived_cl571,plain,
! [X16: mu] :
( ~ ( furniture @ X16 @ ( '#sk25' @ X16 ) )
| ( '#form95' @ X16 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl556]) ).
thf(zip_derived_cl529_209,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl530,plain,
! [X4: mu,X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk88' @ X4 @ X6 ) ) )
| ( in @ X6 @ X4 @ ( '#sk88' @ X4 @ X6 ) ) )
| ( '#form87' @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl529]) ).
thf(zip_derived_cl542,plain,
! [X4: mu,X6: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk88' @ X4 @ X6 ) )
| ( '#form87' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl60,plain,
( ( exists_in_world @ '#sk13' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl141,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl205,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( car @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl270,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( car @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl459_210,plain,
! [X10: mu] :
( ( '#form71' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( car @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl460,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk72' @ X10 ) ) )
| ( car @ X10 @ ( '#sk72' @ X10 ) ) )
| ( '#form71' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl459]) ).
thf(zip_derived_cl475,plain,
! [X10: mu] :
( ~ ( car @ X10 @ ( '#sk72' @ X10 ) )
| ( '#form71' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl460]) ).
thf(zip_derived_cl931,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk72' @ '#sk13' ) )
| ( '#form71' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl475]) ).
thf(zip_derived_cl474,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk72' @ X10 ) )
| ( '#form71' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl460]) ).
thf(zip_derived_cl1423,plain,
( ( '#form71' @ '#sk13' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl931,zip_derived_cl474]) ).
thf(zip_derived_cl140,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl204,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( dirty @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl269,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( dirty @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl487_211,plain,
! [X10: mu] :
( ( '#form79' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( dirty @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl488,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk80' @ X10 ) ) )
| ( dirty @ X10 @ ( '#sk80' @ X10 ) ) )
| ( '#form79' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl501,plain,
! [X10: mu] :
( ~ ( dirty @ X10 @ ( '#sk80' @ X10 ) )
| ( '#form79' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl923,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk80' @ '#sk13' ) )
| ( '#form79' @ '#sk13' ) ),
inference('sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl501]) ).
thf(zip_derived_cl500,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk80' @ X10 ) )
| ( '#form79' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl488]) ).
thf(zip_derived_cl967,plain,
( ( '#form79' @ '#sk13' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl923,zip_derived_cl500]) ).
thf(zip_derived_cl132,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk21' @ '#sk5' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl196,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk21' @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl261,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk21' @ '#sk5' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl385_212,plain,
! [X10: mu] :
( ( '#form51' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl386,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk52' @ X10 ) ) )
| ( chevy @ X10 @ ( '#sk52' @ X10 ) ) )
| ( '#form51' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl385]) ).
thf(zip_derived_cl400,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk52' @ X10 ) )
| ( '#form51' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl413_213,plain,
! [X10: mu] :
( ( '#form59' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl414,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk60' @ X10 ) ) )
| ( white @ X10 @ ( '#sk60' @ X10 ) ) )
| ( '#form59' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl413]) ).
thf(zip_derived_cl428,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk60' @ X10 ) )
| ( '#form59' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl441_214,plain,
! [X10: mu] :
( ( '#form67' @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl442,plain,
! [X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk68' @ X10 ) ) )
| ( old @ X10 @ ( '#sk68' @ X10 ) ) )
| ( '#form67' @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl456,plain,
! [X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk68' @ X10 ) )
| ( '#form67' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl509_215,plain,
! [X6: mu,X10: mu] :
( ( '#form83' @ X6 @ X10 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ X6 @ X10 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl510,plain,
! [X6: mu,X10: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk84' @ X6 @ X10 ) ) )
| ( barrel @ X6 @ X10 @ ( '#sk84' @ X6 @ X10 ) ) )
| ( '#form83' @ X6 @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl509]) ).
thf(zip_derived_cl520,plain,
! [X6: mu,X10: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk84' @ X6 @ X10 ) )
| ( '#form83' @ X6 @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl510]) ).
thf(zip_derived_cl50,plain,
( ( exists_in_world @ '#sk11' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl40,plain,
( ( exists_in_world @ '#sk9' @ '#sk2' )
| ~ '#form3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl143,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl207,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( street @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl272,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( street @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl403_216,plain,
! [X8: mu] :
( ( '#form55' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( street @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl404,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk56' @ X8 ) ) )
| ( street @ X8 @ ( '#sk56' @ X8 ) ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl403]) ).
thf(zip_derived_cl419,plain,
! [X8: mu] :
( ~ ( street @ X8 @ ( '#sk56' @ X8 ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl947,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk56' @ '#sk11' ) )
| ( '#form55' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl419]) ).
thf(zip_derived_cl418,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk56' @ X8 ) )
| ( '#form55' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl2111,plain,
( ( '#form55' @ '#sk11' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl947,zip_derived_cl418]) ).
thf(zip_derived_cl142,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl206,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( lonely @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl271,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( lonely @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl431_217,plain,
! [X8: mu] :
( ( '#form63' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( lonely @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl432,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk64' @ X8 ) ) )
| ( lonely @ X8 @ ( '#sk64' @ X8 ) ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl431]) ).
thf(zip_derived_cl447,plain,
! [X8: mu] :
( ~ ( lonely @ X8 @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl432]) ).
thf(zip_derived_cl939,plain,
( ~ '#form3'
| ~ ( rel_s4 @ '#sk2' @ ( '#sk64' @ '#sk11' ) )
| ( '#form63' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl447]) ).
thf(zip_derived_cl446,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk64' @ X8 ) )
| ( '#form63' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl432]) ).
thf(zip_derived_cl1729,plain,
( ( '#form63' @ '#sk11' )
| ~ '#form3' ),
inference(clc,[status(thm)],[zip_derived_cl939,zip_derived_cl446]) ).
thf(zip_derived_cl131,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ '#sk23' @ '#sk19' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl195,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( in @ '#sk23' @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl260,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( in @ '#sk23' @ '#sk19' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl543,plain,
! [X4: mu,X6: mu] :
( ~ ( in @ X6 @ X4 @ ( '#sk88' @ X4 @ X6 ) )
| ( '#form87' @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl329_218,plain,
! [X6: mu] :
( ( '#form35' @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ X6 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl330,plain,
! [X6: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk36' @ X6 ) ) )
| ( event @ X6 @ ( '#sk36' @ X6 ) ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl329]) ).
thf(zip_derived_cl344,plain,
! [X6: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk36' @ X6 ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl357_219,plain,
! [X8: mu] :
( ( '#form43' @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl358,plain,
! [X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk44' @ X8 ) ) )
| ( way @ X8 @ ( '#sk44' @ X8 ) ) )
| ( '#form43' @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl372,plain,
! [X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk44' @ X8 ) )
| ( '#form43' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl469_220,plain,
! [X6: mu,X8: mu] :
( ( '#form75' @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ X6 @ X8 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl470,plain,
! [X6: mu,X8: mu] :
( ~ ( ( (~) @ ( rel_s4 @ '#sk2' @ ( '#sk76' @ X6 @ X8 ) ) )
| ( down @ X6 @ X8 @ ( '#sk76' @ X6 @ X8 ) ) )
| ( '#form75' @ X6 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl469]) ).
thf(zip_derived_cl484,plain,
! [X6: mu,X8: mu] :
( ( rel_s4 @ '#sk2' @ ( '#sk76' @ X6 @ X8 ) )
| ( '#form75' @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl470]) ).
thf(zip_derived_cl607_221,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X14 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl595,zip_derived_cl583]) ).
thf(zip_derived_cl619_222,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl621,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 ) )
| ( fellow @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl607,zip_derived_cl619]) ).
thf(zip_derived_cl593_223,plain,
! [X14: mu] :
( ( '#form105' @ X14 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( man @ X14 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl631,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X14 @ X20 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 ) ),
inference(renaming,[status(thm)],[zip_derived_cl621,zip_derived_cl593]) ).
thf(zip_derived_cl619_224,plain,
! [X12: mu,X18: mu] :
( ( '#form109' @ X12 @ X18 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( qmltpeq @ X12 @ X18 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl641,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 ) ),
inference(renaming,[status(thm)],[zip_derived_cl631,zip_derived_cl619]) ).
thf(zip_derived_cl537_225,plain,
! [X12: mu] :
( ( '#form91' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( fellow @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl647,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X20 @ X2 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl641,zip_derived_cl537]) ).
thf(zip_derived_cl529_226,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl653,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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 @ X14 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ X16 @ Y0 ) ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl647,zip_derived_cl529]) ).
thf(zip_derived_cl565_227,plain,
! [X12: mu] :
( ( '#form97' @ X12 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( young @ X12 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl659,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form97' @ X14 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form31' @ X2 )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X18 @ 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' )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( '#form35' @ X6 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form87' @ X2 @ X20 ) ),
inference(renaming,[status(thm)],[zip_derived_cl653,zip_derived_cl565]) ).
thf(zip_derived_cl529_228,plain,
! [X4: mu,X6: mu] :
( ( '#form87' @ X4 @ X6 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( in @ X6 @ X4 @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl665,plain,
! [X2: mu,X4: mu,X6: mu,X8: mu,X10: mu,X12: mu,X14: mu,X16: mu,X18: mu,X20: mu] :
( ~ ( '#form87' @ X16 @ X18 )
| ~ ( '#form87' @ X2 @ X20 )
| ~ ( '#form109' @ X14 @ X20 )
| ~ ( '#form109' @ X12 @ X18 )
| ~ ( '#form105' @ X14 )
| ~ ( '#form97' @ X12 )
| ~ ( '#form91' @ X12 )
| ~ ( '#form39' @ X16 )
| ~ ( '#form31' @ X16 )
| ~ ( '#form75' @ X6 @ X8 )
| ~ ( '#form67' @ X10 )
| ~ ( '#form59' @ X10 )
| ~ ( '#form51' @ X10 )
| ~ ( '#form43' @ X8 )
| ~ ( '#form35' @ X6 )
| ~ ( exists_in_world @ X20 @ '#sk2' )
| ~ ( 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'
| ( rel_s4 @ '#sk2' @ ( '#sk25' @ X2 ) )
| ( rel_s4 @ '#sk2' @ ( '#sk27' @ X4 ) )
| ~ ( '#form31' @ X2 )
| ~ ( '#form39' @ X2 )
| ~ ( '#form47' @ X4 )
| ~ ( '#form55' @ X8 )
| ~ ( '#form63' @ X8 )
| ~ ( '#form71' @ X10 )
| ~ ( '#form79' @ X10 )
| ~ ( '#form83' @ X6 @ X10 )
| ~ ( '#form87' @ X4 @ X6 )
| ~ ( '#form95' @ X16 )
| ~ ( '#form101' @ X12 @ X14 )
| ~ ( '#form105' @ X12 )
| ~ ( '#form91' @ X14 )
| ~ ( '#form97' @ X14 ) ),
inference(renaming,[status(thm)],[zip_derived_cl659,zip_derived_cl529]) ).
thf(zip_derived_cl120,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( chevy @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl184,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( chevy @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl249,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( chevy @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl401,plain,
! [X10: mu] :
( ~ ( chevy @ X10 @ ( '#sk52' @ X10 ) )
| ( '#form51' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl386]) ).
thf(zip_derived_cl121,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( white @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl185,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( white @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl250,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( white @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl429,plain,
! [X10: mu] :
( ~ ( white @ X10 @ ( '#sk60' @ X10 ) )
| ( '#form59' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl122,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( old @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl186,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( old @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl251,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( old @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl457,plain,
! [X10: mu] :
( ~ ( old @ X10 @ ( '#sk68' @ X10 ) )
| ( '#form67' @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl139,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( barrel @ '#sk9' @ '#sk13' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl203,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( barrel @ '#sk9' @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl268,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( barrel @ '#sk9' @ '#sk13' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl521,plain,
! [X6: mu,X10: mu] :
( ~ ( barrel @ X6 @ X10 @ ( '#sk84' @ X6 @ X10 ) )
| ( '#form83' @ X6 @ X10 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl510]) ).
thf(zip_derived_cl118,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( event @ '#sk9' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl182,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( event @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl247,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( event @ '#sk9' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl182]) ).
thf(zip_derived_cl345,plain,
! [X6: mu] :
( ~ ( event @ X6 @ ( '#sk36' @ X6 ) )
| ( '#form35' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl119,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( way @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl183,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( way @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl248,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( way @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl373,plain,
! [X8: mu] :
( ~ ( way @ X8 @ ( '#sk44' @ X8 ) )
| ( '#form43' @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl358]) ).
thf(zip_derived_cl123,plain,
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ Y0 ) )
| ( down @ '#sk9' @ '#sk11' @ Y0 ) ) )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl187,plain,
! [X2: $i] :
( ( (~) @ ( rel_s4 @ '#sk2' @ X2 ) )
| ( down @ '#sk9' @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl252,plain,
! [X2: $i] :
( ~ ( rel_s4 @ '#sk2' @ X2 )
| ( down @ '#sk9' @ '#sk11' @ X2 )
| ~ '#form3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl485,plain,
! [X6: mu,X8: mu] :
( ~ ( down @ X6 @ X8 @ ( '#sk76' @ X6 @ X8 ) )
| ( '#form75' @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl470]) ).
thf(zip_derived_cl3271,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl672,zip_derived_cl33,zip_derived_cl397,zip_derived_cl279,zip_derived_cl670,zip_derived_cl300,zip_derived_cl306,zip_derived_cl398,zip_derived_cl83,zip_derived_cl73,zip_derived_cl93,zip_derived_cl103,zip_derived_cl299,zip_derived_cl671,zip_derived_cl614,zip_derived_cl587,zip_derived_cl559,zip_derived_cl637,zip_derived_cl23,zip_derived_cl113,zip_derived_cl63,zip_derived_cl290,zip_derived_cl297,zip_derived_cl615,zip_derived_cl295,zip_derived_cl289,zip_derived_cl588,zip_derived_cl296,zip_derived_cl288,zip_derived_cl560,zip_derived_cl291,zip_derived_cl292,zip_derived_cl638,zip_derived_cl605,zip_derived_cl328,zip_derived_cl53,zip_derived_cl43,zip_derived_cl327,zip_derived_cl630,zip_derived_cl287,zip_derived_cl286,zip_derived_cl294,zip_derived_cl577,zip_derived_cl369,zip_derived_cl341,zip_derived_cl549,zip_derived_cl407,zip_derived_cl435,zip_derived_cl463,zip_derived_cl481,zip_derived_cl505,zip_derived_cl525,zip_derived_cl278,zip_derived_cl578,zip_derived_cl307,zip_derived_cl370,zip_derived_cl308,zip_derived_cl342,zip_derived_cl293,zip_derived_cl550,zip_derived_cl282,zip_derived_cl408,zip_derived_cl283,zip_derived_cl436,zip_derived_cl284,zip_derived_cl464,zip_derived_cl303,zip_derived_cl482,zip_derived_cl302,zip_derived_cl506,zip_derived_cl301,zip_derived_cl526,zip_derived_cl351,zip_derived_cl379,zip_derived_cl425,zip_derived_cl453,zip_derived_cl491,zip_derived_cl669,zip_derived_cl280,zip_derived_cl352,zip_derived_cl281,zip_derived_cl380,zip_derived_cl305,zip_derived_cl426,zip_derived_cl304,zip_derived_cl454,zip_derived_cl285,zip_derived_cl492,zip_derived_cl668,zip_derived_cl30,zip_derived_cl2157,zip_derived_cl246,zip_derived_cl666,zip_derived_cl267,zip_derived_cl70,zip_derived_cl80,zip_derived_cl829,zip_derived_cl883,zip_derived_cl841,zip_derived_cl871,zip_derived_cl903,zip_derived_cl853,zip_derived_cl632,zip_derived_cl100,zip_derived_cl20,zip_derived_cl2203,zip_derived_cl266,zip_derived_cl667,zip_derived_cl598,zip_derived_cl321,zip_derived_cl334,zip_derived_cl570,zip_derived_cl110,zip_derived_cl90,zip_derived_cl803,zip_derived_cl817,zip_derived_cl259,zip_derived_cl258,zip_derived_cl633,zip_derived_cl320,zip_derived_cl624,zip_derived_cl275,zip_derived_cl335,zip_derived_cl245,zip_derived_cl571,zip_derived_cl542,zip_derived_cl60,zip_derived_cl1423,zip_derived_cl967,zip_derived_cl261,zip_derived_cl400,zip_derived_cl428,zip_derived_cl456,zip_derived_cl520,zip_derived_cl50,zip_derived_cl40,zip_derived_cl2111,zip_derived_cl1729,zip_derived_cl260,zip_derived_cl543,zip_derived_cl344,zip_derived_cl372,zip_derived_cl484,zip_derived_cl665,zip_derived_cl249,zip_derived_cl401,zip_derived_cl250,zip_derived_cl429,zip_derived_cl251,zip_derived_cl457,zip_derived_cl268,zip_derived_cl521,zip_derived_cl247,zip_derived_cl345,zip_derived_cl248,zip_derived_cl373,zip_derived_cl252,zip_derived_cl485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP011^7 : TPTP v8.1.2. Released v5.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2lTbyKTLlN true
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 13:06:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in HO mode
% 0.19/0.63 % Total configuration time : 828
% 0.19/0.63 % Estimated wc time : 1656
% 0.19/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 37.10/5.39 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 55.03/7.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 65.73/9.03 % Solved by lams/20_acsne_simpl.sh.
% 65.73/9.03 % done 1021 iterations in 6.936s
% 65.73/9.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 65.73/9.03 % SZS output start Refutation
% See solution above
% 66.41/9.17
% 66.41/9.17
% 66.41/9.17 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 66.41/9.17 % Terminating...
% 66.41/9.17 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 66.79/9.28 % Runner terminated.
% 66.79/9.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------