TPTP Problem File: LCL946^10.p
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%------------------------------------------------------------------------------
% File : LCL946^10 : TPTP v8.2.0. Released v8.1.0.
% Domain : Logic Calculi
% Problem : Goedel translation of NLP009+1 (from TPTP-v5.0.0)
% Version : [BP13] axioms.
% English :
% Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% Source : [TPTP]
% Names : GNL009+1 [QMLTP]
% Status : Theorem
% Rating : 0.90 v8.2.0, 0.92 v8.1.0
% Syntax : Number of formulae : 75 ( 12 unt; 35 typ; 10 def)
% Number of atoms : 777 ( 10 equ; 0 cnn)
% Maximal formula atoms : 382 ( 19 avg)
% Number of connectives : 1026 ( 1 ~; 1 |; 4 &;1015 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 13 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty)
% Number of variables : 127 ( 117 ^; 7 !; 3 ?; 127 :)
% SPC : TH0_THM_EQU_NAR
% Comments : This output was generated by embedproblem, version 1.7.1 (library
% version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 'modal' embedding, version 1.5.2. Logic specification used:
% $modal == [$constants == $rigid,$quantification == $varying,
% $modalities == $modal_system_S4].
%------------------------------------------------------------------------------
thf(mworld,type,
mworld: $tType ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mnot_def,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf(mand_def,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf(mor_def,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ) ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf(mequiv_def,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(mrel_transitive,axiom,
! [W: mworld,V: mworld,U: mworld] :
( ( ( mrel @ W @ V )
& ( mrel @ V @ U ) )
=> ( mrel @ W @ U ) ) ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(eiw_di_nonempty,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mforall_di_def,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mexists_di_def,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ) ).
thf(chevy_decl,type,
chevy: $i > mworld > $o ).
thf(dirty_decl,type,
dirty: $i > mworld > $o ).
thf(barrel_decl,type,
barrel: $i > $i > mworld > $o ).
thf(hollywood_decl,type,
hollywood: $i > mworld > $o ).
thf(city_decl,type,
city: $i > mworld > $o ).
thf(in_decl,type,
in: $i > $i > mworld > $o ).
thf(young_decl,type,
young: $i > mworld > $o ).
thf(old_decl,type,
old: $i > mworld > $o ).
thf(down_decl,type,
down: $i > $i > mworld > $o ).
thf(way_decl,type,
way: $i > mworld > $o ).
thf(qmltpeq_decl,type,
qmltpeq: $i > $i > mworld > $o ).
thf(seat_decl,type,
seat: $i > mworld > $o ).
thf(white_decl,type,
white: $i > mworld > $o ).
thf(car_decl,type,
car: $i > mworld > $o ).
thf(furniture_decl,type,
furniture: $i > mworld > $o ).
thf(street_decl,type,
street: $i > mworld > $o ).
thf(fellow_decl,type,
fellow: $i > mworld > $o ).
thf(front_decl,type,
front: $i > mworld > $o ).
thf(man_decl,type,
man: $i > mworld > $o ).
thf(event_decl,type,
event: $i > mworld > $o ).
thf(lonely_decl,type,
lonely: $i > mworld > $o ).
thf(reflexivity,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ).
thf(symmetry,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
thf(transitivity,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
thf(barrel_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( barrel @ A @ C ) ) ) @ ( mbox @ ( barrel @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(barrel_substitution_2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( barrel @ C @ A ) ) ) @ ( mbox @ ( barrel @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(car_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( car @ A ) ) ) @ ( mbox @ ( car @ B ) ) ) ) ) ) ) ) ) ).
thf(chevy_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( chevy @ A ) ) ) @ ( mbox @ ( chevy @ B ) ) ) ) ) ) ) ) ) ).
thf(city_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( city @ A ) ) ) @ ( mbox @ ( city @ B ) ) ) ) ) ) ) ) ) ).
thf(dirty_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( dirty @ A ) ) ) @ ( mbox @ ( dirty @ B ) ) ) ) ) ) ) ) ) ).
thf(down_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( down @ A @ C ) ) ) @ ( mbox @ ( down @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(down_substitution_2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( down @ C @ A ) ) ) @ ( mbox @ ( down @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(event_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( event @ A ) ) ) @ ( mbox @ ( event @ B ) ) ) ) ) ) ) ) ) ).
thf(fellow_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( fellow @ A ) ) ) @ ( mbox @ ( fellow @ B ) ) ) ) ) ) ) ) ) ).
thf(front_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( front @ A ) ) ) @ ( mbox @ ( front @ B ) ) ) ) ) ) ) ) ) ).
thf(furniture_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( furniture @ A ) ) ) @ ( mbox @ ( furniture @ B ) ) ) ) ) ) ) ) ) ).
thf(hollywood_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( hollywood @ A ) ) ) @ ( mbox @ ( hollywood @ B ) ) ) ) ) ) ) ) ) ).
thf(in_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(in_substitution_2,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] :
( mbox
@ ( mforall_di
@ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(lonely_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( lonely @ A ) ) ) @ ( mbox @ ( lonely @ B ) ) ) ) ) ) ) ) ) ).
thf(man_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( man @ A ) ) ) @ ( mbox @ ( man @ B ) ) ) ) ) ) ) ) ) ).
thf(old_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( old @ A ) ) ) @ ( mbox @ ( old @ B ) ) ) ) ) ) ) ) ) ).
thf(seat_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( seat @ A ) ) ) @ ( mbox @ ( seat @ B ) ) ) ) ) ) ) ) ) ).
thf(street_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( street @ A ) ) ) @ ( mbox @ ( street @ B ) ) ) ) ) ) ) ) ) ).
thf(way_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( way @ A ) ) ) @ ( mbox @ ( way @ B ) ) ) ) ) ) ) ) ) ).
thf(white_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( white @ A ) ) ) @ ( mbox @ ( white @ B ) ) ) ) ) ) ) ) ) ).
thf(young_substitution_1,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( young @ A ) ) ) @ ( mbox @ ( young @ B ) ) ) ) ) ) ) ) ) ).
thf(co1,conjecture,
( mlocal
@ ( mand
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [U: $i] :
( mexists_di
@ ^ [V: $i] :
( mexists_di
@ ^ [W: $i] :
( mexists_di
@ ^ [X: $i] :
( mexists_di
@ ^ [Y: $i] :
( mexists_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [X1: $i] :
( mexists_di
@ ^ [X2: $i] :
( mexists_di
@ ^ [X3: $i] : ( mand @ ( mbox @ ( hollywood @ U ) ) @ ( mand @ ( mbox @ ( city @ U ) ) @ ( mand @ ( mbox @ ( event @ V ) ) @ ( mand @ ( mbox @ ( street @ W ) ) @ ( mand @ ( mbox @ ( way @ W ) ) @ ( mand @ ( mbox @ ( lonely @ W ) ) @ ( mand @ ( mbox @ ( chevy @ X ) ) @ ( mand @ ( mbox @ ( car @ X ) ) @ ( mand @ ( mbox @ ( white @ X ) ) @ ( mand @ ( mbox @ ( dirty @ X ) ) @ ( mand @ ( mbox @ ( old @ X ) ) @ ( mand @ ( mbox @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox @ ( down @ V @ W ) ) @ ( mand @ ( mbox @ ( in @ V @ U ) ) @ ( mand @ ( mbox @ ( seat @ X1 ) ) @ ( mand @ ( mbox @ ( furniture @ X1 ) ) @ ( mand @ ( mbox @ ( front @ X1 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ Y ) ) @ ( mand @ ( mbox @ ( man @ Y ) ) @ ( mand @ ( mbox @ ( young @ Y ) ) @ ( mand @ ( mbox @ ( fellow @ Z ) ) @ ( mand @ ( mbox @ ( man @ Z ) ) @ ( mand @ ( mbox @ ( young @ Z ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Y @ X2 ) ) @ ( mand @ ( mbox @ ( in @ X2 @ X1 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ Z @ X3 ) ) @ ( mbox @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X4: $i] :
( mexists_di
@ ^ [X5: $i] :
( mexists_di
@ ^ [X6: $i] :
( mexists_di
@ ^ [X7: $i] :
( mexists_di
@ ^ [X8: $i] :
( mexists_di
@ ^ [X9: $i] :
( mexists_di
@ ^ [X10: $i] :
( mexists_di
@ ^ [X11: $i] :
( mexists_di
@ ^ [X12: $i] : ( mand @ ( mbox @ ( hollywood @ X4 ) ) @ ( mand @ ( mbox @ ( city @ X4 ) ) @ ( mand @ ( mbox @ ( event @ X5 ) ) @ ( mand @ ( mbox @ ( chevy @ X6 ) ) @ ( mand @ ( mbox @ ( car @ X6 ) ) @ ( mand @ ( mbox @ ( white @ X6 ) ) @ ( mand @ ( mbox @ ( dirty @ X6 ) ) @ ( mand @ ( mbox @ ( old @ X6 ) ) @ ( mand @ ( mbox @ ( street @ X7 ) ) @ ( mand @ ( mbox @ ( way @ X7 ) ) @ ( mand @ ( mbox @ ( lonely @ X7 ) ) @ ( mand @ ( mbox @ ( barrel @ X5 @ X6 ) ) @ ( mand @ ( mbox @ ( down @ X5 @ X7 ) ) @ ( mand @ ( mbox @ ( in @ X5 @ X4 ) ) @ ( mand @ ( mbox @ ( seat @ X10 ) ) @ ( mand @ ( mbox @ ( furniture @ X10 ) ) @ ( mand @ ( mbox @ ( front @ X10 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X8 @ X9 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X8 ) ) @ ( mand @ ( mbox @ ( man @ X8 ) ) @ ( mand @ ( mbox @ ( young @ X8 ) ) @ ( mand @ ( mbox @ ( fellow @ X9 ) ) @ ( mand @ ( mbox @ ( man @ X9 ) ) @ ( mand @ ( mbox @ ( young @ X9 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X8 @ X11 ) ) @ ( mand @ ( mbox @ ( in @ X11 @ X10 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X9 @ X12 ) ) @ ( mbox @ ( in @ X12 @ X10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mimplies
@ ( mexists_di
@ ^ [X13: $i] :
( mexists_di
@ ^ [X14: $i] :
( mexists_di
@ ^ [X15: $i] :
( mexists_di
@ ^ [X16: $i] :
( mexists_di
@ ^ [X17: $i] :
( mexists_di
@ ^ [X18: $i] :
( mexists_di
@ ^ [X19: $i] :
( mexists_di
@ ^ [X20: $i] :
( mexists_di
@ ^ [X21: $i] : ( mand @ ( mbox @ ( hollywood @ X13 ) ) @ ( mand @ ( mbox @ ( city @ X13 ) ) @ ( mand @ ( mbox @ ( event @ X14 ) ) @ ( mand @ ( mbox @ ( chevy @ X15 ) ) @ ( mand @ ( mbox @ ( car @ X15 ) ) @ ( mand @ ( mbox @ ( white @ X15 ) ) @ ( mand @ ( mbox @ ( dirty @ X15 ) ) @ ( mand @ ( mbox @ ( old @ X15 ) ) @ ( mand @ ( mbox @ ( street @ X16 ) ) @ ( mand @ ( mbox @ ( way @ X16 ) ) @ ( mand @ ( mbox @ ( lonely @ X16 ) ) @ ( mand @ ( mbox @ ( barrel @ X14 @ X15 ) ) @ ( mand @ ( mbox @ ( down @ X14 @ X16 ) ) @ ( mand @ ( mbox @ ( in @ X14 @ X13 ) ) @ ( mand @ ( mbox @ ( seat @ X19 ) ) @ ( mand @ ( mbox @ ( furniture @ X19 ) ) @ ( mand @ ( mbox @ ( front @ X19 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X17 @ X18 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X17 ) ) @ ( mand @ ( mbox @ ( man @ X17 ) ) @ ( mand @ ( mbox @ ( young @ X17 ) ) @ ( mand @ ( mbox @ ( fellow @ X18 ) ) @ ( mand @ ( mbox @ ( man @ X18 ) ) @ ( mand @ ( mbox @ ( young @ X18 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X17 @ X20 ) ) @ ( mand @ ( mbox @ ( in @ X20 @ X19 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X18 @ X21 ) ) @ ( mbox @ ( in @ X21 @ X19 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X22: $i] :
( mexists_di
@ ^ [X23: $i] :
( mexists_di
@ ^ [X24: $i] :
( mexists_di
@ ^ [X25: $i] :
( mexists_di
@ ^ [X26: $i] :
( mexists_di
@ ^ [X27: $i] :
( mexists_di
@ ^ [X28: $i] :
( mexists_di
@ ^ [X29: $i] :
( mexists_di
@ ^ [X30: $i] : ( mand @ ( mbox @ ( hollywood @ X22 ) ) @ ( mand @ ( mbox @ ( city @ X22 ) ) @ ( mand @ ( mbox @ ( event @ X23 ) ) @ ( mand @ ( mbox @ ( street @ X24 ) ) @ ( mand @ ( mbox @ ( way @ X24 ) ) @ ( mand @ ( mbox @ ( lonely @ X24 ) ) @ ( mand @ ( mbox @ ( chevy @ X25 ) ) @ ( mand @ ( mbox @ ( car @ X25 ) ) @ ( mand @ ( mbox @ ( white @ X25 ) ) @ ( mand @ ( mbox @ ( dirty @ X25 ) ) @ ( mand @ ( mbox @ ( old @ X25 ) ) @ ( mand @ ( mbox @ ( barrel @ X23 @ X25 ) ) @ ( mand @ ( mbox @ ( down @ X23 @ X24 ) ) @ ( mand @ ( mbox @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox @ ( seat @ X28 ) ) @ ( mand @ ( mbox @ ( furniture @ X28 ) ) @ ( mand @ ( mbox @ ( front @ X28 ) ) @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X26 @ X27 ) ) ) ) @ ( mand @ ( mbox @ ( fellow @ X26 ) ) @ ( mand @ ( mbox @ ( man @ X26 ) ) @ ( mand @ ( mbox @ ( young @ X26 ) ) @ ( mand @ ( mbox @ ( fellow @ X27 ) ) @ ( mand @ ( mbox @ ( man @ X27 ) ) @ ( mand @ ( mbox @ ( young @ X27 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X26 @ X29 ) ) @ ( mand @ ( mbox @ ( in @ X29 @ X28 ) ) @ ( mand @ ( mbox @ ( qmltpeq @ X27 @ X30 ) ) @ ( mbox @ ( in @ X30 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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