TPTP Problem File: LCL946_10.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : LCL946_10 : TPTP v9.0.0. Bugfixed v9.0.0.
% Domain : Natural Language Processing
% Problem : Goedel translation of NLP009+1
% Version : [QMLTP] axioms.
% English :
% Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic
% : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% Source : [QMLTP]
% Names : GNL009+1 [QMLTP]
% Status : Theorem
% Rating : 0.67 v9.0.0
% Syntax : Number of formulae : 53 ( 1 unt; 24 typ; 0 def)
% Number of atoms : 467 ( 0 equ)
% Maximal formula atoms : 230 ( 16 avg)
% Number of connectives : 442 ( 4 ~; 0 |; 134 &)
% ( 0 <=>; 304 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 14 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 48 ( 22 >; 26 *; 0 +; 0 <<)
% Number of predicates : 22 ( 22 usr; 0 prp; 2-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 375 ( 339 !; 36 ?; 375 :)
% SPC : TF0_THM_NEQ_NAR
% Comments : Generated by embedproblem, version 1.7.14, rigid constant,
% modal_system_S4, TFF embedding.
% Bugfixes : v9.0.0 - Fixed embedding variables
%------------------------------------------------------------------------------
%----Meta-logical definitions of the embedding
tff('$world_type',type,
'$world': $tType ).
tff('$local_world_decl',type,
'$local_world': '$world' ).
tff('$accessible_world_decl',type,
'$accessible_world': ( '$world' * '$world' ) > $o ).
tff(mrel_reflexive,axiom,
! [W: '$world'] : '$accessible_world'(W,W) ).
tff(mrel_transitive,axiom,
! [W: '$world',V: '$world',U: '$world'] :
( ( '$accessible_world'(W,V)
& '$accessible_world'(V,U) )
=> '$accessible_world'(W,U) ) ).
%----Converted user type declarations
tff(chevy_type,type,
chevy: ( '$world' * $i ) > $o ).
tff(dirty_type,type,
dirty: ( '$world' * $i ) > $o ).
tff(barrel_type,type,
barrel: ( '$world' * $i * $i ) > $o ).
tff(hollywood_type,type,
hollywood: ( '$world' * $i ) > $o ).
tff(city_type,type,
city: ( '$world' * $i ) > $o ).
tff(in_type,type,
in: ( '$world' * $i * $i ) > $o ).
tff(young_type,type,
young: ( '$world' * $i ) > $o ).
tff(old_type,type,
old: ( '$world' * $i ) > $o ).
tff(down_type,type,
down: ( '$world' * $i * $i ) > $o ).
tff(way_type,type,
way: ( '$world' * $i ) > $o ).
tff(qmltpeq_type,type,
qmltpeq: ( '$world' * $i * $i ) > $o ).
tff(seat_type,type,
seat: ( '$world' * $i ) > $o ).
tff(white_type,type,
white: ( '$world' * $i ) > $o ).
tff(car_type,type,
car: ( '$world' * $i ) > $o ).
tff(furniture_type,type,
furniture: ( '$world' * $i ) > $o ).
tff(street_type,type,
street: ( '$world' * $i ) > $o ).
tff(fellow_type,type,
fellow: ( '$world' * $i ) > $o ).
tff(front_type,type,
front: ( '$world' * $i ) > $o ).
tff(man_type,type,
man: ( '$world' * $i ) > $o ).
tff(event_type,type,
event: ( '$world' * $i ) > $o ).
tff(lonely_type,type,
lonely: ( '$world' * $i ) > $o ).
%----Converted problem
tff(reflexivity,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [X: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> qmltpeq(W0,X,X) ) ) ).
tff(symmetry,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [X: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [Y: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,X,Y) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,Y,X) ) ) ) ) ) ).
tff(transitivity,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [X: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [Y: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [Z: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,X,Y) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,Y,Z) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,X,Z) ) ) ) ) ) ) ).
tff(barrel_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> barrel(W3,A,C) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> barrel(W3,B,C) ) ) ) ) ) ) ).
tff(barrel_substitution_2,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> barrel(W3,C,A) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> barrel(W3,C,B) ) ) ) ) ) ) ).
tff(car_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> car(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> car(W2,B) ) ) ) ) ) ).
tff(chevy_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> chevy(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> chevy(W2,B) ) ) ) ) ) ).
tff(city_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> city(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> city(W2,B) ) ) ) ) ) ).
tff(dirty_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> dirty(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> dirty(W2,B) ) ) ) ) ) ).
tff(down_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> down(W3,A,C) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> down(W3,B,C) ) ) ) ) ) ) ).
tff(down_substitution_2,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> down(W3,C,A) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> down(W3,C,B) ) ) ) ) ) ) ).
tff(event_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> event(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> event(W2,B) ) ) ) ) ) ).
tff(fellow_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> fellow(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> fellow(W2,B) ) ) ) ) ) ).
tff(front_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> front(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> front(W2,B) ) ) ) ) ) ).
tff(furniture_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> furniture(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> furniture(W2,B) ) ) ) ) ) ).
tff(hollywood_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> hollywood(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> hollywood(W2,B) ) ) ) ) ) ).
tff(in_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> in(W3,A,C) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> in(W3,B,C) ) ) ) ) ) ) ).
tff(in_substitution_2,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ! [C: $i,W2: '$world'] :
( '$accessible_world'(W1,W2)
=> ( ( ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> qmltpeq(W3,A,B) )
& ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> in(W3,C,A) ) )
=> ! [W3: '$world'] :
( '$accessible_world'(W2,W3)
=> in(W3,C,B) ) ) ) ) ) ) ).
tff(lonely_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> lonely(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> lonely(W2,B) ) ) ) ) ) ).
tff(man_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> man(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> man(W2,B) ) ) ) ) ) ).
tff(old_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> old(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> old(W2,B) ) ) ) ) ) ).
tff(seat_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> seat(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> seat(W2,B) ) ) ) ) ) ).
tff(street_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> street(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> street(W2,B) ) ) ) ) ) ).
tff(way_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> way(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> way(W2,B) ) ) ) ) ) ).
tff(white_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> white(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> white(W2,B) ) ) ) ) ) ).
tff(young_substitution_1,axiom,
! [W: '$world'] :
( '$accessible_world'('$local_world',W)
=> ! [A: $i,W0: '$world'] :
( '$accessible_world'(W,W0)
=> ! [B: $i,W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ( ( ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,A,B) )
& ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> young(W2,A) ) )
=> ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> young(W2,B) ) ) ) ) ) ).
tff(co1,conjecture,
! [W: '$world'] :
( ! [W0: '$world'] :
( '$accessible_world'(W,W0)
=> ( ? [U: $i,V: $i,WW: $i,X: $i,Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,U) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,U) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,V) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,WW) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,WW) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,WW) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,V,X) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,V,WW) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,V,U) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> seat(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> furniture(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> front(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ~ ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,Y,Z) ) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,Y) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,Y) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,Y) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,Z) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,Z) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,Z) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,Y,X2) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X2,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,Z,X3) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X3,X1) ) )
=> ? [X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,X4) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,X4) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,X5,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,X5,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X5,X4) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> seat(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> furniture(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> front(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ~ ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,X8,X9) ) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X8) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X8) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X8) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X8,X11) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X11,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X9,X12) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X12,X10) ) ) ) )
& ! [W0: '$world'] :
( '$accessible_world'(W,W0)
=> ( ? [X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,X13) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,X13) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,X14) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X16) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X16) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X16) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,X14,X15) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,X14,X16) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X14,X13) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> seat(W1,X19) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> furniture(W1,X19) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> front(W1,X19) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ~ ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,X17,X18) ) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X17) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X17) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X17) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X18) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X18) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X18) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X17,X20) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X20,X19) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X18,X21) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X21,X19) ) )
=> ? [X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i,X28: $i,X29: $i,X30: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,X22) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,X22) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,X23) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X24) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X24) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X24) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,X23,X25) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,X23,X24) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X23,X22) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> seat(W1,X28) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> furniture(W1,X28) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> front(W1,X28) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> ~ ! [W2: '$world'] :
( '$accessible_world'(W1,W2)
=> qmltpeq(W2,X26,X27) ) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X26) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X26) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X26) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> fellow(W1,X27) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> man(W1,X27) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> young(W1,X27) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X26,X29) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X29,X28) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> qmltpeq(W1,X27,X30) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X30,X28) ) ) ) ) ) ).
%------------------------------------------------------------------------------