TPTP Problem File: NLP009^7.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : NLP009^7 : TPTP v8.2.0. Released v5.5.0.
% Domain : Natural Language Processing
% Problem : "The old dirty white Chevy" problem 9
% Version : [Ben12] axioms.
% English :
% Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic
% : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an
% : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% Source : [Ben12]
% Names : s4-cumul-GNL009+1 [Ben12]
% Status : Theorem
% Rating : 0.80 v8.2.0, 0.92 v8.1.0, 1.00 v5.5.0
% Syntax : Number of formulae : 119 ( 33 unt; 56 typ; 32 def)
% Number of atoms : 854 ( 36 equ; 0 cnn)
% Maximal formula atoms : 382 ( 13 avg)
% Number of connectives : 1127 ( 5 ~; 5 |; 9 &;1098 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 223 ( 223 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 63 usr; 9 con; 0-3 aty)
% Number of variables : 184 ( 143 ^; 34 !; 7 ?; 184 :)
% SPC : TH0_THM_EQU_NAR
% Comments : Goedel translation of NLP009+1
%------------------------------------------------------------------------------
%----Include axioms for Modal logic S4 under cumulative domains
include('Axioms/LCL015^0.ax').
include('Axioms/LCL013^5.ax').
include('Axioms/LCL015^1.ax').
%------------------------------------------------------------------------------
thf(young_type,type,
young: mu > $i > $o ).
thf(man_type,type,
man: mu > $i > $o ).
thf(fellow_type,type,
fellow: mu > $i > $o ).
thf(front_type,type,
front: mu > $i > $o ).
thf(furniture_type,type,
furniture: mu > $i > $o ).
thf(seat_type,type,
seat: mu > $i > $o ).
thf(in_type,type,
in: mu > mu > $i > $o ).
thf(down_type,type,
down: mu > mu > $i > $o ).
thf(barrel_type,type,
barrel: mu > mu > $i > $o ).
thf(old_type,type,
old: mu > $i > $o ).
thf(dirty_type,type,
dirty: mu > $i > $o ).
thf(white_type,type,
white: mu > $i > $o ).
thf(car_type,type,
car: mu > $i > $o ).
thf(chevy_type,type,
chevy: mu > $i > $o ).
thf(lonely_type,type,
lonely: mu > $i > $o ).
thf(way_type,type,
way: mu > $i > $o ).
thf(street_type,type,
street: mu > $i > $o ).
thf(event_type,type,
event: mu > $i > $o ).
thf(city_type,type,
city: mu > $i > $o ).
thf(hollywood_type,type,
hollywood: mu > $i > $o ).
thf(reflexivity,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] : ( mbox_s4 @ ( qmltpeq @ X @ X ) ) ) ) ) ).
thf(symmetry,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
thf(transitivity,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Z: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox_s4 @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
thf(barrel_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ A @ C ) ) ) @ ( mbox_s4 @ ( barrel @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(barrel_substitution_2,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ C @ A ) ) ) @ ( mbox_s4 @ ( barrel @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(car_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( car @ A ) ) ) @ ( mbox_s4 @ ( car @ B ) ) ) ) ) ) ) ) ) ).
thf(chevy_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( chevy @ A ) ) ) @ ( mbox_s4 @ ( chevy @ B ) ) ) ) ) ) ) ) ) ).
thf(city_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( city @ A ) ) ) @ ( mbox_s4 @ ( city @ B ) ) ) ) ) ) ) ) ) ).
thf(dirty_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( dirty @ A ) ) ) @ ( mbox_s4 @ ( dirty @ B ) ) ) ) ) ) ) ) ) ).
thf(down_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ A @ C ) ) ) @ ( mbox_s4 @ ( down @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(down_substitution_2,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ C @ A ) ) ) @ ( mbox_s4 @ ( down @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(event_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( event @ A ) ) ) @ ( mbox_s4 @ ( event @ B ) ) ) ) ) ) ) ) ) ).
thf(fellow_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( fellow @ A ) ) ) @ ( mbox_s4 @ ( fellow @ B ) ) ) ) ) ) ) ) ) ).
thf(front_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( front @ A ) ) ) @ ( mbox_s4 @ ( front @ B ) ) ) ) ) ) ) ) ) ).
thf(furniture_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( furniture @ A ) ) ) @ ( mbox_s4 @ ( furniture @ B ) ) ) ) ) ) ) ) ) ).
thf(hollywood_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( hollywood @ A ) ) ) @ ( mbox_s4 @ ( hollywood @ B ) ) ) ) ) ) ) ) ) ).
thf(in_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ A @ C ) ) ) @ ( mbox_s4 @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
thf(in_substitution_2,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ C @ A ) ) ) @ ( mbox_s4 @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
thf(lonely_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( lonely @ A ) ) ) @ ( mbox_s4 @ ( lonely @ B ) ) ) ) ) ) ) ) ) ).
thf(man_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( man @ A ) ) ) @ ( mbox_s4 @ ( man @ B ) ) ) ) ) ) ) ) ) ).
thf(old_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( old @ A ) ) ) @ ( mbox_s4 @ ( old @ B ) ) ) ) ) ) ) ) ) ).
thf(seat_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( seat @ A ) ) ) @ ( mbox_s4 @ ( seat @ B ) ) ) ) ) ) ) ) ) ).
thf(street_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( street @ A ) ) ) @ ( mbox_s4 @ ( street @ B ) ) ) ) ) ) ) ) ) ).
thf(way_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( way @ A ) ) ) @ ( mbox_s4 @ ( way @ B ) ) ) ) ) ) ) ) ) ).
thf(white_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( white @ A ) ) ) @ ( mbox_s4 @ ( white @ B ) ) ) ) ) ) ) ) ) ).
thf(young_substitution_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [A: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( young @ A ) ) ) @ ( mbox_s4 @ ( young @ B ) ) ) ) ) ) ) ) ) ).
thf(co1,conjecture,
( mvalid
@ ( mand
@ ( mbox_s4
@ ( mimplies
@ ( mexists_ind
@ ^ [U: mu] :
( mexists_ind
@ ^ [V: mu] :
( mexists_ind
@ ^ [W: mu] :
( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] :
( mexists_ind
@ ^ [Z: mu] :
( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] :
( mexists_ind
@ ^ [X3: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ U ) ) @ ( mand @ ( mbox_s4 @ ( city @ U ) ) @ ( mand @ ( mbox_s4 @ ( event @ V ) ) @ ( mand @ ( mbox_s4 @ ( street @ W ) ) @ ( mand @ ( mbox_s4 @ ( way @ W ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ W ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X ) ) @ ( mand @ ( mbox_s4 @ ( car @ X ) ) @ ( mand @ ( mbox_s4 @ ( white @ X ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X ) ) @ ( mand @ ( mbox_s4 @ ( old @ X ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox_s4 @ ( down @ V @ W ) ) @ ( mand @ ( mbox_s4 @ ( in @ V @ U ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Y ) ) @ ( mand @ ( mbox_s4 @ ( man @ Y ) ) @ ( mand @ ( mbox_s4 @ ( young @ Y ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Z ) ) @ ( mand @ ( mbox_s4 @ ( man @ Z ) ) @ ( mand @ ( mbox_s4 @ ( young @ Z ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Y @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X2 @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Z @ X3 ) ) @ ( mbox_s4 @ ( in @ X3 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X4: mu] :
( mexists_ind
@ ^ [X5: mu] :
( mexists_ind
@ ^ [X6: mu] :
( mexists_ind
@ ^ [X7: mu] :
( mexists_ind
@ ^ [X8: mu] :
( mexists_ind
@ ^ [X9: mu] :
( mexists_ind
@ ^ [X10: mu] :
( mexists_ind
@ ^ [X11: mu] :
( mexists_ind
@ ^ [X12: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X5 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X5 @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X5 @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X8 @ X9 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X8 @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X11 @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X9 @ X12 ) ) @ ( mbox_s4 @ ( in @ X12 @ X10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mimplies
@ ( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] :
( mexists_ind
@ ^ [X15: mu] :
( mexists_ind
@ ^ [X16: mu] :
( mexists_ind
@ ^ [X17: mu] :
( mexists_ind
@ ^ [X18: mu] :
( mexists_ind
@ ^ [X19: mu] :
( mexists_ind
@ ^ [X20: mu] :
( mexists_ind
@ ^ [X21: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X14 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X14 @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X14 @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X14 @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X17 @ X18 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X17 @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X20 @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X18 @ X21 ) ) @ ( mbox_s4 @ ( in @ X21 @ X19 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X22: mu] :
( mexists_ind
@ ^ [X23: mu] :
( mexists_ind
@ ^ [X24: mu] :
( mexists_ind
@ ^ [X25: mu] :
( mexists_ind
@ ^ [X26: mu] :
( mexists_ind
@ ^ [X27: mu] :
( mexists_ind
@ ^ [X28: mu] :
( mexists_ind
@ ^ [X29: mu] :
( mexists_ind
@ ^ [X30: mu] : ( mand @ ( mbox_s4 @ ( hollywood @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X23 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X23 @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X23 @ X24 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X26 @ X27 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X26 @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X29 @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X27 @ X30 ) ) @ ( mbox_s4 @ ( in @ X30 @ X28 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
%------------------------------------------------------------------------------