TPTP Problem File: LCL945_9.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : LCL945_9 : TPTP v9.0.0. Bugfixed v9.0.0.
% Domain : Natural Language Processing
% Problem : Goedel translation of NLP001+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 : GNL001+1 [QMLTP]
% Status : Theorem
% Rating : 0.33 v9.0.0
% Syntax : Number of formulae : 19 ( 1 unt; 17 typ; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 114 ( 57 avg)
% Number of connectives : 113 ( 0 ~; 0 |; 53 &)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 14 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 15 >; 18 *; 0 +; 0 <<)
% Number of predicates : 15 ( 15 usr; 0 prp; 2-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 77 ( 60 !; 17 ?; 77 :)
% SPC : TF0_THM_NEQ_NAR
% Comments : Generated by embedproblem, version 1.7.14, rigid constant,
% modal_system_D, 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' ) > $o ).
tff(mrel_serial,axiom,
! [W: '$world'] :
? [V: '$world'] : '$accessible_world'(W,V) ).
%----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 ) > $o ).
tff(old_type,type,
old: ( '$world' * $i ) > $o ).
tff(down_type,type,
down: ( '$world' * $i * $i ) > $o ).
tff(way_type,type,
way: ( '$world' * $i ) > $o ).
tff(white_type,type,
white: ( '$world' * $i ) > $o ).
tff(car_type,type,
car: ( '$world' * $i ) > $o ).
tff(street_type,type,
street: ( '$world' * $i ) > $o ).
tff(event_type,type,
event: ( '$world' * $i ) > $o ).
tff(lonely_type,type,
lonely: ( '$world' * $i ) > $o ).
tff(co1,conjecture,
! [W: '$world'] :
( ! [W0: '$world'] :
( '$accessible_world'(W,W0)
=> ( ? [U: $i,V: $i,WW: $i,X: $i] :
( ! [W1: '$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) ) )
=> ? [Y: $i,Z: $i,X1: $i,X2: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,Y) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,Y) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,Z) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X2) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X2) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X2) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,Z,X1) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,Z,X2) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,Z,Y) ) ) ) )
& ! [W0: '$world'] :
( '$accessible_world'(W,W0)
=> ( ? [X3: $i,X4: $i,X5: $i,X6: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,X3) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,X3) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,X4) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,X4,X5) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,X4,X6) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X4,X3) ) )
=> ? [X7: $i,X8: $i,X9: $i,X10: $i] :
( ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> hollywood(W1,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> city(W1,X7) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> event(W1,X8) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> street(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> way(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> lonely(W1,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> chevy(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> car(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> white(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> dirty(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> old(W1,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> barrel(W1,X8,X10) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> down(W1,X8,X9) )
& ! [W1: '$world'] :
( '$accessible_world'(W0,W1)
=> in(W1,X8,X7) ) ) ) ) ) ).
%------------------------------------------------------------------------------